SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 1353, 7014, 17246, 1228, 2048, 560, 1066, 6681, 2168, 2534, 685, 543, 1022, 11311, 6527, 269, 6226, 3455, 4446, 5886, 568, 9663, 1190, 950, 1010, 3659, 808, 1442, 661, 9405, 6238, 6580, 519, 2648, 540, 1010, 1272, 11875, 773, 3162, 10290, 269, 22868, 538, 5245, 634, 8241, 4346, 568, 13856, 676, 519, 2533, 5823, 267, 4553, 676, 2872, 543, 6683, 269, 17897, 476, 1015, 1107, 22774, 3670, 7097, 9594, 15318, 589, 25934, 1107, 11778, 634, 2063, 4960, 585, 938, 9946, 547, 1039, 930, 2338, 547, 519, 27805, 543, 2899, 1586, 267, 519, 1482, 1614, 602, 4769, 1406, 1205, 3238, 538, 519, 2063, 5180, 3442, 711, 547, 7119, 2899, 1586, 269, 4039, 8271, 774, 272, 6438, 1775, 301, 298, 307, 2281, 4043, 547, 581, 23353, 1369, 519, 838, 22220, 543, 6797, 267, 1247, 774, 273, 6438, 1775, 301, 298, 307, 2281, 616, 2404, 609, 519, 9641, 543, 16892, 476, 274, 2443, 476, 277, 269, 667, 1662, 331, 2033, 568, 835, 540, 519, 1655, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12465, 27884, 4860, 1388, 1242, 998, 16503, 5928, 910, 589, 10312, 593, 7111, 1977, 22383, 543, 18753, 26358, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 6805, 5159, 723, 1031, 13371, 2835, 543, 8642, 9089, 547, 2671, 2757, 2984, 543, 1711, 1007, 3283, 1247, 8497, 2686, 6561, 269, 1358, 786, 849, 1451, 827, 519, 2956, 540, 6041, 543, 4763, 538, 9423, 780, 7072, 281, 1280, 5553, 267, 1004, 723, 3838, 2984, 547, 4001, 4245, 267, 8190, 5389, 267, 543, 7038, 1142, 824, 269, 1452, 8941, 666, 1491, 1585, 3029, 267, 971, 607, 2854, 6386, 267, 5711, 12583, 267, 8964, 267, 7544, 12644, 267, 543, 3308, 1148, 269, 4653, 267, 649, 786, 2263, 875, 930, 4207, 7111, 1977, 5159, 946, 12383, 543, 18615, 1148, 1765, 321, 21392, 1634, 607, 14676, 543, 8642, 9089, 23121, 2995, 8903, 2984, 602, 8956, 18577, 7326, 543, 8300, 7820, 5481, 780, 4089, 476, 272, 281, 4197, 22383, 543, 18753, 26358, 454, 4467, 923, 543, 8642, 9089, 9192, 1913, 267, 2592, 267, 543, 1374, 2609, 899, 8440, 267, 4633, 18616, 267, 543, 3280, 2360, 547, 6655, 6422, 6386, 269, 22702, 547, 18340, 3332, 267, 713, 3898, 2636, 3988, 547, 10110, 1344, 5488, 1813, 547, 922, 3810, 3308, 2470, 269, 3958, 267, 621, 2488, 3255, 585, 17634, 609, 2985, 29282, 543, 8470, 13289, 267, 2870, 2189, 2081, 547, 1995, 2984, 780, 7078, 281, 6056, 827, 707, 5172, 15705, 7260, 282, 8458, 616, 267, 621, 729, 1759, 593, 513, 2442, 13371, 1433, 3126, 256, 1635, 24758, 891, 11609, 9035, 883, 4670, 267, 801, 3930, 3142, 11537, 3197, 543, 13858, 13602, 547, 1272, 585, 6626, 9458, 780, 4089, 476, 273, 281, 7087, 20551, 22737, 14938, 1113, 3203, 454, 1103, 2487, 1296, 267, 1082, 7111, 1977, 5159, 723, 5828, 547, 14676, 543, 8642, 9089, 607, 5867, 547, 2769, 2933, 543, 13599, 3988, 827, 6805, 4529, 269, 4635, 1312, 2413, 6163, 543, 2757, 18305, 267, 789, 4739, 9159, 6386, 7184, 12082, 538, 741, 2950, 262, 2418, 543, 4978, 269, 2368, 1256, 3082, 2085, 6040, 14868, 543, 17691, 585, 2221, 781, 5304, 267, 4180, 602, 3504, 7326, 679, 706, 637, 998, 942, 780, 7078, 281, 1488, 580, 517, 853, 1551, 781, 8111, 4095, 3126, 5205, 16502, 13535, 6975, 8298, 534, 267, 513, 12504, 540, 519, 14070, 744, 9383, 1695, 2674, 30063, 1572, 834, 763, 1234, 345, 2437, 1141, 646, 25395, 1010, 2706, 335, 10183, 1310, 4189, 512, 20557, 20161, 10381, 7856, 676, 519, 772, 2529, 269, 2229, 269, 3414, 9644, 543, 24337, 267, 853, 1551, 24259, 1769, 593, 3140, 2152, 7133, 5065, 5095, 1247, 14120, 17174, 6043, 780, 4089, 476, 274, 281, 23830, 25198, 454, 3528, 10023, 3309, 23233, 543, 5466, 4143, 4798, 267, 6805, 14676, 543, 8642, 3209, 4589, 3565, 9797, 547, 1454, 32571, 6041, 1369, 2442, 2923, 269, 22628, 11541, 3197, 543, 3871, 2337, 12790, 6107, 1745, 2938, 543, 4862, 267, 5807, 1582, 21873, 543, 11348, 538, 741, 9163, 269, 5015, 267, 4598, 547, 1114, 5380, 8992, 6568, 1851, 782, 3988, 267, 28043, 10616, 1063, 2950, 543, 8716, 1620, 780, 12244, 281, 5620, 1053, 1382, 513, 7111, 1977, 7376, 945, 5932, 14676, 610, 8642, 9089, 269, 9105, 873, 547, 5965, 513, 2110, 6881, 10223, 519, 1739, 2798, 1384, 265, 16684, 12092, 540, 519, 2278, 454, 265, 7170, 4433, 264, 540, 741, 8037, 1568, 454, 265, 11137, 540, 519, 1292, 4798, 543, 6835, 24829, 538, 1346, 1568, 454, 265, 1215, 891, 13144, 948, 8190, 6805, 2528, 543, 3895, 2318, 6041, 692, 6962, 281, 10801, 1480, 1686, 267, 1650, 339, 25527, 723, 9862, 2757, 6386, 2066, 1585, 23447, 547, 3914, 9962, 9458, 269, 2060, 519, 4473, 540, 14676, 543, 8642, 9089, 267, 7111, 1977, 5159, 1631, 4865, 1776, 3532, 1907, 547, 2671, 741, 3638, 6561, 267, 2232, 10296, 1514, 4145, 267, 543, 7668, 2104, 5481, 269, 1306, 596, 5490, 4514, 883, 713, 4241, 5339, 1106, 267, 2015, 3695, 2199, 8021, 610, 2228, 2200, 585, 2417, 2542, 10372, 269, 8414, 8906, 24098, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 523, 6468, 543, 6348, 5174, 2435, 22383, 6282, 832, 29594, 547, 519, 3733, 8084, 4432, 22451, 540, 519, 9835, 623, 3700, 632, 3288, 642, 4068, 546, 262, 17951, 9567, 17845, 1889, 454, 763, 9835, 623, 3700, 632, 3288, 642, 4068, 546, 262, 17951, 9567, 17845, 1889, 568, 606, 3486, 10715, 9740, 8366, 2016, 12422, 1282, 519, 4911, 9567, 17845, 1889, 4139, 22383, 16635, 538, 5333, 269, 9282, 519, 13037, 17758, 513, 1297, 540, 20380, 26065, 547, 14676, 15888, 267, 519, 9835, 623, 3700, 24903, 11438, 2484, 811, 2597, 982, 1022, 540, 519, 1866, 267, 2094, 23602, 616, 6444, 585, 741, 1764, 593, 519, 1686, 540, 14676, 693, 1804, 269, 901, 1032, 267, 782, 476, 1789, 540, 519, 9930, 710, 525, 941, 28250, 2367, 267, 799, 267, 2016, 519, 3486, 9165, 540, 519, 17758, 267, 5267, 602, 476, 280, 324, 11286, 1341, 630, 1492, 2754, 3743, 585, 12180, 519, 13037, 264, 1223, 711, 1589, 540, 835, 4807, 267, 1098, 267, 610, 1875, 321, 2435, 14676, 17082, 538, 519, 1158, 945, 964, 5703, 547, 581, 6444, 585, 513, 8717, 779, 4502, 540, 741, 960, 563, 763, 11814, 604, 964, 1835, 2946, 520, 4631, 632, 6512, 324, 546, 612, 514, 19902, 733, 516, 682, 3023, 1143, 324, 630, 320, 7104, 540, 20419, 15888, 1996, 3023, 1143, 1070, 799, 1185, 21947, 519, 16635, 513, 3923, 1354, 827, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25565, 27884, 4860, 1388, 1242, 998, 16503, 5928, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 7111, 1977, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 267, 1762, 17024, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 883, 519, 4241, 7706, 540, 6138, 543, 2263, 835, 540, 922, 1034, 10578, 8371, 1107, 26381, 1108, 269, 13018, 267, 649, 786, 4685, 2620, 883, 513, 2101, 3350, 1369, 26381, 1108, 1634, 607, 681, 9569, 3201, 26113, 269, 5213, 1406, 5855, 952, 891, 2474, 3280, 7294, 282, 676, 519, 1439, 540, 938, 942, 1927, 267, 596, 3513, 581, 1210, 873, 899, 5294, 2439, 3383, 267, 1018, 4010, 1281, 968, 788, 626, 655, 1108, 892, 1611, 286, 898, 2501, 689, 5259, 1913, 1412, 788, 626, 30937, 3299, 799, 1797, 1702, 267, 543, 21029, 8421, 807, 3299, 2495, 1353, 269, 4935, 267, 26381, 1108, 3274, 4016, 547, 519, 1353, 540, 1702, 3294, 1107, 2055, 827, 1141, 938, 1620, 543, 4978, 2097, 689, 267, 875, 22973, 789, 616, 267, 543, 950, 666, 649, 3409, 547, 5963, 2048, 3104, 685, 1945, 269, 15346, 267, 1318, 31841, 3086, 1577, 781, 5490, 883, 7787, 1143, 269, 5994, 1373, 4843, 609, 1079, 10833, 281, 835, 3568, 13212, 1247, 519, 824, 814, 24453, 269, 1403, 594, 2307, 596, 547, 9420, 19507, 3054, 267, 3914, 883, 2901, 4216, 267, 10544, 513, 4829, 267, 543, 2995, 803, 1018, 596, 13603, 267, 875, 1131, 596, 6430, 286, 1411, 1522, 5402, 1745, 519, 3337, 267, 2597, 267, 610, 9403, 540, 519, 4829, 538, 707, 1688, 1354, 1818, 513, 7058, 269, 1717, 267, 9327, 1405, 621, 581, 1390, 952, 596, 1223, 918, 301, 8582, 585, 2386, 2436, 621, 729, 606, 11945, 610, 10538, 1510, 1256, 3168, 610, 4743, 621, 286, 2334, 781, 9247, 1018, 7787, 1235, 3494, 281, 602, 3425, 4865, 1978, 2790, 5759, 7175, 721, 547, 2744, 1702, 3564, 6071, 1995, 780, 2080, 616, 1614, 1883, 2798, 10747, 681, 9569, 3201, 26113, 1384, 272, 269, 2878, 1103, 333, 622, 14313, 4995, 4340, 547, 7787, 1235, 267, 1004, 616, 4535, 609, 1808, 3710, 2987, 2035, 610, 2093, 630, 4883, 622, 2093, 1070, 3850, 721, 547, 1174, 1950, 18408, 827, 519, 1158, 269, 1280, 1383, 267, 2015, 2241, 12980, 4238, 971, 607, 1840, 610, 8691, 269, 1284, 16022, 569, 9787, 891, 2035, 1510, 1565, 998, 2833, 4805, 780, 273, 269, 2878, 3725, 1783, 26361, 15232, 4995, 2755, 10686, 27913, 630, 29006, 945, 11168, 519, 1909, 540, 1995, 264, 8044, 602, 782, 1702, 24865, 689, 10444, 1344, 267, 7787, 1235, 2226, 602, 2601, 4249, 513, 811, 1713, 1909, 269, 1358, 15974, 602, 7744, 6087, 721, 547, 17429, 576, 7493, 6436, 543, 3652, 602, 949, 6382, 2611, 6456, 3297, 6151, 1239, 10356, 3842, 12823, 780, 274, 269, 2878, 288, 13405, 328, 11310, 4995, 901, 1523, 5267, 602, 930, 1702, 3085, 1405, 2154, 1022, 5885, 2963, 689, 8343, 610, 1995, 1317, 621, 568, 1582, 17272, 1211, 569, 3020, 269, 1323, 14745, 540, 713, 2856, 568, 2596, 6310, 4834, 899, 476, 273, 266, 273, 284, 275, 1107, 1100, 991, 547, 1293, 1483, 3615, 547, 6166, 713, 1249, 2439, 4131, 781, 1491, 513, 4090, 547, 5660, 1946, 3695, 891, 2093, 6927, 269, 1635, 6313, 1114, 16752, 593, 875, 649, 10536, 1702, 267, 649, 1451, 3407, 4245, 827, 2565, 3206, 267, 15819, 10054, 267, 543, 3384, 1134, 3146, 1783, 539, 7440, 269, 1452, 1983, 4019, 2484, 3564, 519, 4928, 4259, 543, 948, 1711, 5483, 4961, 5827, 540, 10188, 2221, 781, 3728, 19550, 267, 2479, 19145, 1158, 780, 8855, 267, 10952, 5717, 5749, 1405, 2141, 2653, 855, 11432, 1359, 2462, 4555, 31168, 7279, 543, 5876, 269, 1924, 1832, 6998, 1346, 9157, 2055, 267, 4161, 6671, 7326, 267, 543, 9784, 707, 6418, 14544, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 21478, 540, 16817, 593, 13898, 543, 4033, 10749, 454, 6637, 476, 1556, 281, 634, 19043, 540, 519, 9046, 540, 11310, 454, 3951, 568, 1631, 1945, 936, 513, 2540, 2094, 23006, 1572, 2390, 15806, 547, 24044, 741, 4901, 3823, 519, 2470, 540, 519, 1158, 543, 519, 282, 3741, 540, 6228, 2394, 789, 1185, 8452, 693, 930, 3932, 3823, 519, 2470, 540, 519, 6616, 1184, 269, 1809, 1053, 540, 6138, 917, 602, 23006, 19775, 519, 2243, 834, 875, 1702, 568, 2009, 834, 2864, 982, 2813, 621, 269, 1306, 2339, 540, 1249, 267, 14436, 2219, 585, 1079, 5553, 1354, 23006, 1185, 1044, 21246, 958, 5461, 538, 1175, 713, 1966, 267, 4352, 621, 910, 1185, 711, 20902, 922, 1378, 1719, 269, 23006, 4547, 547, 9637, 519, 9013, 30254, 269, 634, 4901, 267, 1312, 538, 23006, 5128, 543, 538, 1010, 1967, 832, 267, 1419, 4667, 4416, 2880, 267, 4503, 538, 24631, 11029, 1399, 267, 4416, 2880, 4661, 267, 543, 2930, 21441, 269, 10738, 519, 2063, 8717, 538, 1880, 972, 723, 1044, 4191, 540, 513, 3395, 5957 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24145, 1155, 814, 2141, 1044, 851, 540, 938, 3232, 2729, 269, 22439, 689, 1114, 2694, 540, 519, 1158, 1118, 1142, 5888, 851, 540, 519, 10340, 610, 519, 2898, 2486, 269, 769, 8726, 1650, 602, 649, 1224, 267, 649, 2119, 547, 1174, 922, 1514, 5380, 543, 519, 19237, 540, 519, 3197, 269, 2368, 540, 519, 535, 1112, 25875, 6386, 12909, 827, 519, 22293, 267, 1799, 7394, 885, 267, 543, 2192, 16479, 3206, 540, 519, 2486, 2509, 1434, 543, 9409, 269, 5221, 540, 1379, 267, 930, 540, 721, 4043, 1831, 19450, 609, 938, 3527, 1175, 547, 6961, 602, 649, 616, 519, 6392, 563, 1607, 568, 1018, 519, 1079, 2984, 13886, 968, 295, 28207, 19161, 518, 517, 892, 676, 918, 4669, 966, 517, 10864, 583, 543, 968, 306, 629, 1774, 584, 892, 676, 12794, 29883, 6499, 547, 20818, 547, 18795, 3988, 269, 3245, 891, 1079, 2984, 267, 621, 666, 581, 1767, 602, 1256, 952, 649, 6499, 547, 1118, 938, 2729, 3160, 543, 3501, 267, 972, 616, 1869, 1978, 3871, 602, 786, 4255, 938, 23141, 1107, 547, 1831, 12325, 610, 4550, 12516, 525, 540, 519, 2486, 269, 634, 1292, 1915, 538, 966, 517, 10864, 583, 779, 1650, 568, 6723, 19161, 518, 517, 269, 3571, 1920, 2729, 513, 3339, 1272, 1354, 855, 1317, 789, 941, 29802, 676, 519, 4108, 585, 513, 2027, 2013, 267, 741, 2729, 941, 8297, 1441, 563, 24576, 2688, 1557, 32445, 610, 14640, 12516, 525, 281, 589, 10886, 540, 513, 6936, 14740, 609, 1863, 17096, 1867, 454, 24730, 9909, 540, 1010, 5067, 1169, 3781, 855, 621, 779, 782, 513, 5326, 269, 1261, 6499, 547, 1294, 26858, 855, 646, 6487, 646, 1223, 711, 269, 6723, 607, 519, 16502, 538, 519, 1650, 568, 513, 26841, 540, 1514, 26646, 543, 17536, 1182, 269, 1261, 568, 513, 4999, 540, 513, 1523, 540, 5869, 543, 4550, 268, 12516, 269, 1261, 568, 513, 5869, 540, 1010, 1920, 855, 606, 4550, 12516, 540, 1010, 14763, 610, 519, 21087, 1235, 540, 1010, 1272, 269, 26858, 30280, 1996, 519, 2229, 543, 519, 1062, 269, 1261, 1965, 7870, 689, 519, 21569, 538, 1931, 547, 2490, 1524, 519, 2229, 269, 898, 666, 581, 1767, 607, 513, 1106, 540, 1367, 1143, 1317, 26858, 14659, 540, 1010, 1378, 6571, 543, 711, 593, 519, 2856, 540, 21338, 606, 3390, 563, 3891, 6499, 547, 2881, 526, 1144, 519, 2229, 585, 2123, 1719, 543, 547, 1711, 1010, 1378, 21257, 269, 3414, 713, 267, 646, 2968, 606, 4550, 12516, 1317, 646, 3442, 547, 1831, 1010, 1378, 7209, 543, 711, 585, 519, 1732, 618, 540, 1010, 2486, 269, 1717, 267, 519, 3988, 1223, 711, 16620, 519, 3197, 585, 789, 616, 27945, 543, 27303, 269, 968, 5445, 941, 21002, 2989, 609, 521, 1662, 12035, 543, 11435, 540, 5017, 14653, 267, 543, 741, 8188, 941, 9633, 539, 267, 865, 602, 1100, 835, 267, 7487, 513, 1863, 543, 11419, 995, 23972, 610, 513, 7168, 3068, 267, 1131, 1745, 899, 1945, 519, 3032, 3075, 538, 630, 309, 517, 10864, 583, 1916, 892, 1358, 6560, 538, 513, 1799, 7394, 2486, 1175, 1317, 789, 616, 1434, 4961, 543, 2348, 513, 3339, 1272, 269, 2334, 568, 1946, 1256, 952, 789, 11441, 2182, 547, 1831, 12560, 543, 960, 585, 741, 2146, 267, 789, 1869, 7985, 269, 634, 7862, 1705, 711, 2291, 1318, 998, 741, 1604, 269, 2201, 519, 824, 1259, 1472, 267, 12794, 29883, 779, 1650, 568, 513, 26841, 540, 1514, 1799, 528, 1275, 269, 634, 6392, 1500, 19450, 6285, 2509, 824, 1004, 547, 6961, 741, 1379, 543, 4222, 282, 547, 1397, 602, 789, 616, 1318, 1107, 1256, 952, 711, 269, 6004, 563, 2419, 14241, 267, 519, 1292, 1915, 540, 519, 1650, 568, 513, 32082, 538, 513, 2160, 538, 1010, 2146, 269, 1261, 1568, 2182, 543, 10741, 519, 4064, 540, 1082, 1004, 585, 519, 1732, 618, 540, 741, 2197, 543, 547, 6961, 741, 2924, 1996, 1799, 528, 1275, 543, 1514, 17536, 1182, 269, 6004, 269, 932, 14241, 568, 3257, 1010, 6009, 543, 9021, 607, 12504, 540, 1010, 1533, 269, 1717, 267, 1317, 621, 568, 711, 1318, 585, 519, 6392, 945, 568, 7598, 519, 2048, 9404, 7394, 3609, 16224, 789, 616, 7487, 1864, 607, 513, 20903, 540, 513, 6760, 267, 799, 646, 1705, 711, 269, 968, 4002, 519, 4837, 18376, 729, 513, 17835, 5627, 1344, 593, 1010, 2013, 563, 3891, 5433, 621, 29737, 602, 538, 1175, 513, 2339, 540, 3108, 789, 1185, 7213, 12885, 513, 1507, 18061, 540, 1603, 827, 1864, 269, 2201, 2034, 2219, 646, 3459, 547, 4898, 2436, 789, 1185, 6854, 513, 3758, 593, 1864, 782, 519, 942, 630, 295, 320, 1040, 9232, 6004, 269, 932, 14241, 779, 18572, 538, 519, 1101, 851, 568, 24123, 855, 607, 519, 1650, 8761, 519, 1292, 1448, 540, 1010, 1915, 267, 621, 6238, 547, 960, 547, 1831, 4550, 12516, 1317, 646, 2115, 547, 15093, 1010, 19237, 543, 4978, 585, 1010, 3659, 543, 1378, 3961, 269, 2311, 519, 1439, 540, 519, 1650, 267, 646, 23297, 547, 3398, 1010, 2048, 13062, 830, 685, 1175, 547, 581, 1863, 563, 3891, 7140, 1524, 1010, 4978, 543, 4191, 519, 1476, 11970, 538, 1931, 547, 948, 1010, 608, 24713, 550, 15818, 674, 523, 329, 20041, 581, 11074, 689, 1373, 12475, 3293, 676, 519, 7128, 10492, 269, 769, 4276, 540, 519, 1079, 3197, 538, 519, 1650, 267, 1312, 26858, 543, 6004, 269, 932, 14241, 267, 741, 25796, 19838, 657, 3094, 269, 6004, 269, 932, 14241, 19082, 519, 17537, 538, 16334, 10202, 269, 1261, 3587, 519, 17939, 1774, 584, 282, 789, 934, 2224, 1864, 693, 519, 1360, 4098, 269, 1358, 1312, 31111, 1996, 519, 1062, 855, 1287, 11654, 741, 1378, 4690, 269, 2311, 519, 1439, 540, 621, 782, 267, 519, 1079, 2984, 4734, 519, 3988, 930, 7341, 543, 1565, 827, 519, 1483, 3510, 540, 519, 2486, 563, 763, 1079, 2984, 616, 2813, 538, 1114, 1106, 540, 2528, 855, 789, 616, 11214, 9838, 547, 835, 1776, 269, 634, 8128, 616, 1799, 7394, 543, 24407, 1881, 609, 741, 3527, 269, 1358, 1616, 8788, 543, 24178, 1510, 7674, 741, 1004, 269, 634, 3197, 945, 7985, 689, 782, 519, 6937, 543, 5208, 2611, 27945, 543, 27303, 269, 1548, 789, 723, 547, 798, 568, 547, 21704, 269, 1358, 941, 12325, 540, 741, 1378, 2014, 855, 789, 2968, 4550, 12516, 525, 540, 741, 1378, 15683, 269, 634, 4589, 540, 519, 2984, 1500, 513, 1713, 4323, 1996, 519, 6392, 540, 519, 2486, 563, 5445, 1590, 917, 741, 7687, 547, 1118, 741, 2486, 513, 1732, 835, 585, 789, 616, 519, 2936, 619, 540, 1876, 543, 789, 616, 5701, 607, 16614, 2043, 945, 1118, 741, 1004, 17956, 543, 1863, 689, 2800, 1107, 865, 789, 1590, 849, 3142, 1394, 519, 2463, 585, 789, 616, 519, 6392, 269, 769, 3932, 547, 713, 267, 621, 666, 581, 1767, 602, 519, 1079, 3197, 538, 519, 2984, 616, 4550, 12516, 525, 269, 769, 519, 4098, 540, 519, 6386, 267, 789, 941, 29802, 543, 789, 15093, 811, 982, 1018, 789, 4397, 1317, 789, 723, 741, 1378, 19237, 543, 4978, 563, 4913, 267, 607, 789, 1995, 519, 6937, 543, 24279, 1369, 741, 2619, 267, 789, 3323, 547, 1589, 585, 20947, 1996, 519, 1062, 945, 12475, 3293, 741, 1915, 269, 1403, 649, 1413, 693, 519, 14402, 5133, 267, 649, 1223, 711, 16620, 873, 689, 782, 519, 2833, 602, 789, 723, 8854, 998, 269, 1717, 267, 952, 649, 2119, 547, 3343, 519, 4514, 5133, 540, 2013, 267, 789, 786, 2611, 607, 4550, 12516, 525, 540, 519, 2486, 1317, 789, 960, 585, 741, 1378, 21257, 543, 9547, 543, 711, 585, 519, 1732, 618, 540, 741, 2898, 2486, 269, 3718, 24764, 12794, 267, 29883, 269, 17939, 1774, 584, 269, 966, 517, 10864, 583, 267, 918, 4669, 269, 26858, 19161, 518, 517, 563, 12441, 596, 917, 602, 649, 723, 936, 476, 3583, 267, 1822, 3594, 593, 476, 274, 267, 1822, 3584, 538, 938, 6538, 286, 0, 22261, 476, 2767, 267, 476, 1220, 280, 6440, 6168, 24533, 24533, 11061, 24533, 568, 17453, 1570, 799, 10953, 4222, 950, 621, 23465, 609, 1216, 269, 898, 568, 22803, 1570, 799, 5161, 540, 12444, 563, 23895, 618, 5685, 5109, 6713, 281, 634, 3803, 1184, 540, 9160, 1818, 568, 1572, 9096, 8860, 269, 1849, 28310, 546, 2216, 609, 6417, 2179, 540, 31682, 568, 10480, 883, 513, 11831, 7085, 267, 513, 8880, 5374, 8546, 4904, 609, 5374, 11084, 269, 1306, 519, 8546, 29226, 267, 519, 5374, 11084, 6084, 1076, 543, 24807, 519, 804, 28310, 883, 513, 15988, 710, 8869, 563, 17387, 539, 9160, 543, 804, 28310, 1547, 1984, 267, 9493, 732, 526, 476, 276, 267, 4375, 274, 476, 277, 267, 3607, 278, 476, 278, 267, 276, 5780, 476, 277, 267, 7785, 476, 278, 267, 7785, 1547, 519, 23812, 540, 519, 2259, 543, 519, 1826, 540, 269, 24533, 1849, 28310, 25416, 7085, 13242, 769, 1849, 28310, 25416, 6713, 1547, 9160, 804, 28310, 8860, 1984, 1031, 538, 804, 28310, 8860, 1184, 2030, 7824, 8860, 540, 9160, 804, 28310, 543, 1644, 15283, 300, 585, 1547, 513, 743, 338, 1353, 3391, 476, 1001, 273, 7824, 4429, 1103, 519, 9160, 2504, 1899, 267, 6721, 476, 272, 9522, 540, 24533, 991, 20836, 693, 2547, 476, 274, 9748, 540, 2326, 630, 10175, 6151, 2326, 267, 4492, 267, 804, 28310, 267, 6404, 2326, 267, 4445, 26011, 1040, 26364, 4193, 5106, 27499, 827, 476, 2568, 260, 540, 2698, 1379, 538, 9160, 2371, 267, 6151, 1570, 8860, 811, 982, 476, 1789, 9077, 1247, 5755, 1984, 1031, 538, 9160, 2030, 27499, 476, 274, 9077, 9160, 8860, 827, 476, 2412, 18336, 4517, 519, 804, 28310, 8781, 1184, 11887, 267, 607, 1134, 607, 6151, 7594, 267, 519, 2298, 540, 804, 28310, 269, 1849, 28310, 8781, 1184, 568, 519, 9160, 2504, 1900, 609, 519, 5207, 1942, 269, 18520, 6151, 2326, 543, 6281, 10173, 723, 2462, 1942, 9494, 1761, 543, 13947, 10173, 2087, 519, 2910, 476, 273, 25270, 269, 634, 1950, 2361, 540, 804, 28310, 8781, 13408, 519, 1739, 3584, 281, 3040, 7233, 2029, 630, 17742, 9401, 9734, 267, 18287, 10719, 267, 27414, 4586, 3383, 267, 519, 6151, 3575, 568, 26151, 547, 3132, 804, 28310, 2433, 519, 2596, 1570, 2877, 547, 1118, 9160, 269, 23740, 8921, 21984, 3575, 29137, 9023, 7982, 840, 515, 908, 804, 28310, 4859, 693, 519, 2030, 21984, 1984, 5990, 595, 30121, 631, 3198, 308, 293, 16898, 7838, 5058, 11550, 290, 8577, 2433, 634, 804, 28310, 543, 519, 4586, 23895, 618, 1849, 28310, 19007, 6713, 7233, 13870, 540, 24533, 1849, 28310, 19007, 6713, 10724, 2060, 519, 6024, 6454, 540, 519, 2029, 540, 519, 1984, 267, 519, 24533, 1849, 28310, 19007, 6713, 10724, 814, 1044, 4294, 538, 519, 2361, 540, 6405, 11544, 2371, 267, 855, 930, 5561, 723, 1572, 519, 15146, 543, 1767, 602, 454, 7628, 519, 1184, 540, 9160, 2504, 267, 476, 274, 9748, 540, 2326, 693, 2547, 616, 2877, 547, 581, 2666, 547, 3132, 835, 9522, 540, 24144, 9160, 269, 1452, 2326, 1331, 1585, 6151, 2326, 267, 10173, 267, 804, 1074, 619, 267, 23399, 543, 31682, 269, 4340, 547, 7194, 267, 936, 476, 2568, 260, 9160, 2030, 1379, 786, 581, 10057, 547, 20836, 2326, 538, 3819, 1184, 9160, 2504, 1899, 563, 763, 4492, 568, 5337, 1243, 543, 14616, 856, 538, 519, 13674, 7997, 269, 634, 5609, 18146, 1184, 543, 519, 5250, 540, 804, 28310, 2049, 3330, 519, 29137, 269, 12182, 804, 28310, 568, 22799, 538, 519, 16830, 269, 19264, 1304, 2011, 568, 1031, 547, 3579, 519, 804, 28310, 543, 13148, 1031, 585, 5755, 13674, 269, 634, 22799, 804, 28310, 568, 6740, 538, 519, 804, 28310, 13452, 270, 743, 28310, 3623, 334, 585, 9160, 4586, 26660, 2667, 4269, 540, 24533, 689, 13870, 1547, 547, 14716, 1547, 3465, 5034, 676, 2433, 932, 16211, 476, 1691, 269, 555, 1547, 5988, 1547, 476, 1220, 277, 269, 12474, 3267, 815, 21079, 2504, 1942, 815, 13724, 5106, 6617, 1547, 1548, 568, 24533, 7790, 24533, 589, 29656, 2666, 8869, 799, 814, 3267, 21859, 26011, 24533, 1849, 28310, 4429, 294, 344, 26011, 568, 513, 7777, 543, 568, 19872, 7513, 23253, 538, 3114, 1106, 269, 21859, 26011, 4249, 513, 1360, 1271, 1909, 538, 9013, 519, 2557, 540, 2182, 2287, 540, 519, 9160, 269, 4438, 519, 9160, 5663, 1184, 267, 2390, 519, 9023, 540, 804, 28310, 267, 513, 1507, 2179, 540, 31682, 568, 5189, 1282, 519, 3803, 8860, 1184, 563, 294, 344, 26011, 24533, 1849, 28310, 7085, 1677, 8555, 1407, 634, 13870, 6713, 269, 21859, 26011, 24533, 1849, 28310, 7085, 1677, 8555, 1407, 634, 13870, 6713, 267, 11831, 1984, 31682, 911, 26204, 335, 2167, 2889, 13630, 328, 294, 344, 26011, 18024, 1282, 862, 514, 1081, 543, 922, 1198, 593, 9160, 21545, 1633, 9160, 804, 28310 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 307, 11698, 267, 2904, 476, 1556, 267, 476, 1708, 272, 1306, 851, 540, 922, 5571, 3646, 547, 2232, 5533, 538, 2494, 10042, 7345, 267, 476, 14065, 540, 519, 476, 9965, 2199, 2229, 4559, 630, 299, 294, 5825, 264, 538, 519, 5216, 16899, 16030, 519, 2494, 10042, 7345, 1858, 723, 1044, 3177, 27054, 1457, 16327, 8803, 4559, 998, 519, 4745, 4674, 540, 519, 4972, 540, 5113, 543, 7849, 8249, 630, 291, 2894, 305, 264, 543, 27737, 595, 2106, 628, 807, 589, 269, 16645, 541, 563, 21893, 568, 851, 540, 938, 11173, 3646, 547, 2973, 909, 2494, 10042, 7345, 267, 607, 10288, 538, 519, 10966, 7040, 11173, 8260, 600, 639, 269, 20348, 3653, 2359, 568, 513, 2101, 6161, 538, 519, 2483, 1607, 476, 1708, 272, 7436, 519, 2034, 1032, 540, 519, 2494, 10042, 7345, 29407, 5358, 540, 667, 2894, 305, 267, 6382, 1634, 607, 519, 11135, 1280, 2494, 10042, 7345, 563, 2171, 1413, 1394, 593, 519, 1883, 2238, 602, 519, 667, 2894, 305, 814, 2944, 538, 519, 2250, 585, 713, 1982, 998, 606, 1102, 4919, 269, 0, 10955, 3258, 30129, 26766, 781, 1764, 593, 1977, 3332, 729, 9645, 267, 1498, 1010, 10639, 2094, 1010, 2669, 814, 11385, 730, 10169, 267, 543, 1010, 6965, 538, 1880, 11148, 547, 7941, 13915, 269, 1261, 729, 835, 540, 519, 1101, 18368, 15197, 1977, 5339, 13915, 267, 610, 267, 585, 602, 2339, 267, 5830, 269, 1261, 568, 849, 20295, 609, 2442, 1944, 519, 19792, 3209, 267, 606, 30140, 2442, 9135, 538, 519, 2136, 2276, 543, 11992, 269, 3143, 1447, 513, 4137, 538, 602, 9135, 982, 14880, 1230, 534, 667, 1195, 548, 20295, 1864, 609, 2348, 834, 321, 805, 1117, 519, 7362, 540, 1272, 257, 883, 19792, 5708, 269, 26766, 729, 1851, 519, 9998, 543, 1655, 4589, 547, 960, 538, 519, 9135, 540, 519, 2110, 1650, 267, 543, 930, 1256, 1448, 547, 26766, 607, 513, 15713, 4651, 540, 2257, 5708, 269, 0, 23991, 543, 2249, 7164, 269, 901, 835, 729, 827, 476, 277, 538, 269, 8092, 590, 29888, 568, 513, 1455, 2012, 585, 1022, 7387, 268, 1652, 267, 18714, 267, 8819, 1886, 617, 30114, 19895, 269, 590, 1663, 7714, 616, 1200, 332, 7469, 16967, 2572, 2348, 1312, 5256, 543, 4775, 10285, 8219, 269, 21452, 267, 606, 1367, 1590, 1265, 513, 19898, 267, 855, 621, 2731, 1281, 711, 2339, 607, 547, 4008, 563, 301, 3518, 8403, 10003, 267, 2282, 966, 718, 611, 13521, 267, 2098, 600, 7702, 16644, 514, 577, 6559, 19435, 267, 28130, 269, 0, 1432, 568, 595, 2001, 517, 888, 290, 2001, 517, 568, 519, 3943, 2262, 585, 15513, 269, 898, 568, 513, 11329, 6529, 540, 11954, 14589, 267, 25879, 267, 23315, 610, 10036, 1031, 585, 7801, 543, 5373, 269, 595, 2001, 976, 616, 1500, 689, 1612, 3530, 514, 14589, 6508, 689, 19386, 267, 5755, 610, 3574, 269, 12815, 601, 543, 3282, 2250, 1564, 616, 849, 2010, 540, 22916, 976, 269, 15862, 9736, 5688, 2117, 270, 4537, 13616, 18450, 454, 268, 8058, 2353, 454, 9827, 1572, 667, 3385, 1143, 267, 667, 3385, 729, 513, 5339, 543, 7499, 3350, 602, 3323, 538, 476, 4489, 277, 538, 519, 1858, 540, 2098, 584, 747, 267, 16848, 269, 898, 3459, 607, 513, 18349, 540, 7787, 1143, 543, 18541, 799, 941, 2938, 607, 2853, 602, 4547, 1158, 2112, 594, 269, 898, 849, 1185, 930, 2797, 3413, 514, 885, 538, 1840, 547, 1373, 606, 4550, 1158, 21351, 594, 1148, 269, 667, 3385, 2238, 941, 23405, 267, 19771, 267, 543, 519, 8313, 540, 5339, 270, 691, 13746, 602, 4988, 2528, 543, 2797, 3584, 563, 15187, 3203, 568, 1500, 593, 519, 4950, 267, 585, 519, 4950, 269, 20551, 945, 1711, 621, 946, 5904, 585, 11052, 267, 8858, 1148, 2228, 267, 610, 1628, 3292, 2870, 2189, 26620, 269, 4595, 519, 476, 1960, 271, 338, 267, 519, 3350, 814, 1044, 9763, 607, 1016, 951, 633, 1317, 621, 25186, 13664, 7182, 1219, 3539, 29077, 563, 9209, 27800, 568, 1148, 799, 568, 5497, 547, 2170, 609, 606, 4540, 3510, 267, 2497, 267, 11247, 267, 5304, 267, 610, 9872, 269, 3955, 6761, 2968, 2442, 538, 519, 476, 3422, 271, 338, 267, 607, 5159, 8179, 547, 1198, 1689, 538, 2797, 543, 1514, 8658, 269, 30310, 2987, 9113, 2064, 3292, 941, 6273, 676, 713, 1148, 3350, 269, 0, 16729, 2527, 3529, 5884, 32187, 267, 4993, 3268, 909, 6417, 8781, 538, 7733, 454, 4504, 1549, 958, 8654, 513, 4104, 3595, 568, 2141, 19408, 267, 3081, 25272, 14216, 2421, 267, 513, 2062, 3122, 585, 2836, 9605, 1759, 538, 7395, 26515, 269, 4634, 896, 519, 15569, 540, 8036, 4648, 267, 513, 6417, 6633, 666, 1205, 267, 1134, 267, 856, 540, 1852, 563, 2108, 12179, 942, 596, 1769, 513, 6474, 2223, 646, 1767, 267, 968, 9767, 2461, 2921, 513, 4960, 3034, 763, 4480, 1765, 10193, 1634, 607, 11311, 8781, 28934, 6964, 676, 4104, 619, 543, 23001, 16146, 547, 2569, 519, 28816, 4492, 4452, 543, 2569, 519, 4960, 540, 21472, 23967, 563, 8601, 4220, 267, 2836, 9605, 568, 12902, 856, 513, 1544, 547, 2333, 519, 10605, 543, 4336, 540, 922, 11311, 8781, 4238, 2429, 4993, 1765, 3719, 974, 6019, 3769, 563, 2108, 5978, 15292, 532, 9753, 616, 547, 1900, 621, 909, 2223, 14216, 2421, 1767, 267, 968, 8117, 621, 779, 513, 9157, 4308, 269, 1284, 666, 1406, 1769, 891, 1919, 1055, 538, 519, 1647, 540, 4832, 267, 543, 596, 991, 513, 2603, 540, 4703, 547, 1832, 621, 8659, 267, 543, 519, 2175, 723, 547, 581, 1175, 1318, 2507, 563, 14071, 10093, 1406, 1044, 2111, 547, 547, 798, 1454, 2943, 3034, 27860, 1227, 267, 11311, 8781, 568, 1373, 512, 719, 539, 607, 513, 1761, 3070, 547, 513, 3099, 540, 2042, 1644, 547, 3595, 21109, 31251, 5051, 7920, 23967, 543, 519, 10782, 13626, 27134, 15435, 538, 519, 1533, 779, 6592, 1686, 269, 769, 519, 9000, 540, 30481, 267, 1082, 7733, 723, 1831, 936, 560, 18088, 269, 3281, 7566, 585, 3908, 2200, 267, 519, 4054, 616, 18604, 543, 7786, 2744, 519, 5580, 1688, 563, 7712, 476, 1001, 271, 267, 22404, 723, 7166, 513, 11122, 8271, 6059, 476, 9083, 2929, 598, 28875, 267, 6140, 538, 519, 3844, 543, 7013, 23683, 21600, 563, 763, 2527, 3529, 5884, 32187, 723, 19430, 1533, 8387, 547, 1491, 513, 2182, 1413, 693, 4104, 2359, 2853, 269, 7831, 13628, 630, 13971, 269, 476, 1839, 1070, 519, 3803, 540, 1614, 1857, 5873, 902, 593, 3529, 9019, 729, 4371, 693, 519, 1698, 20738, 538, 15762, 26963, 334, 1354, 519, 9741, 14208, 1478, 8189, 267, 606, 4830, 23388, 8116, 14236, 519, 1533, 779, 3210, 547, 519, 6433, 269, 634, 2164, 540, 519, 1353, 4465, 1406, 581, 5950, 2394, 2038, 1985, 1032, 267, 855, 621, 729, 2312, 689, 519, 5870, 602, 2836, 9605, 17767, 519, 991, 585, 811, 14942, 2359, 1765, 328, 4318, 1421, 4227, 10173, 676, 7344, 30034, 543, 11311, 17236, 563, 31861, 1234, 27688, 2006, 267, 2836, 9605, 779, 13930, 1244, 14280, 8689, 540, 4199, 4027, 543, 6454, 267, 5143, 519, 10243, 602, 267, 936, 519, 2063, 1032, 267, 519, 8116, 814, 2799, 519, 23505, 720, 621, 779, 14616, 609, 11311, 11642, 689, 827, 476, 274, 267, 1822, 547, 476, 1691, 267, 1822, 14143, 269, 25021, 4464, 267, 2836, 9605, 814, 4857, 827, 476, 2004, 267, 1822, 14143, 540, 4104, 602, 616, 4712, 547, 6633, 1533, 4204, 267, 855, 1234, 27688, 2006, 1767, 519, 8116, 1131, 4782, 547, 723, 476, 1911, 267, 1822, 14143, 4712, 563, 14071, 917, 1141, 649, 1616, 547, 6633, 2223, 646, 1767, 269, 968, 2005, 779, 827, 2348, 519, 4316, 543, 519, 1318, 2175, 3034, 9773, 9605, 538, 1809, 974, 6019, 5701, 827, 476, 4037, 14143, 609, 11311, 3595, 538, 16642, 1032, 476, 1001, 277, 268, 1704, 543, 4566, 593, 15155, 4771, 602, 909, 547, 476, 272, 267, 1822, 14143, 538, 476, 1001, 278, 268, 1240, 269, 1809, 267, 585, 513, 1297, 540, 4128, 267, 602, 1223, 6961, 1932, 3138, 11998, 513, 3804, 563, 2690, 5756, 267, 4993, 814, 8854, 547, 1390, 13080, 547, 4339, 23967, 609, 27858, 267, 3595, 9817, 267, 3114, 29472, 1218, 543, 5230, 12227, 269, 898, 949, 711, 581, 6654, 267, 1287, 267, 602, 3595, 4249, 606, 1271, 1909, 538, 4104, 14498, 267, 5710, 532, 519, 5251, 543, 18398, 1007, 2208, 269, 2368, 2371, 267, 971, 607, 812, 345, 534, 26320, 267, 4096, 593, 519, 7920, 3002, 540, 11642, 547, 19334, 6079, 23286, 269, 19452, 267, 561, 17690, 335, 1961, 533, 1149, 991, 3595, 547, 1930, 741, 25862, 563, 3719, 1082, 4104, 539, 2127, 538, 4993, 267, 1519, 930, 538, 1809, 974, 6019, 267, 10093, 1406, 1044, 20109, 676, 3595, 538, 5756, 267, 3056, 547, 519, 19221, 540, 28816, 4492, 269, 3767, 267, 950, 23967, 798, 18009, 998, 267, 789, 616, 29099, 7920, 1765, 16838, 21472, 11652, 2836, 9605, 3112, 6488, 547, 1577, 873, 6633, 14955, 22633, 269, 7085, 687, 540, 1004, 2661, 2673, 547, 4993, 779, 3552, 4133, 563, 2108, 5978, 1101, 5692, 568, 5329, 1004, 2922, 2223, 14216, 2421, 1767, 563, 3383, 267, 519, 1533, 568, 3843, 547, 21825, 32543, 28558, 3595, 547, 519, 5251, 267, 855, 519, 22350, 10053, 7733, 1118, 11311, 17236, 1256, 1981, 1512, 563, 17606, 779, 2182, 547, 1265, 513, 1434, 1747, 547, 798, 621, 2223, 646, 1767, 269, 968, 5278, 540, 891, 4025, 723, 1044, 3595, 7721, 7672, 585, 865, 1279, 267, 621, 1522, 1118, 707, 3510, 8338, 952, 596, 2461, 711, 6297, 3034, 763, 7915, 4220, 616, 851, 540, 1946, 621, 779, 2352, 547, 1265, 2244, 14935, 3544, 540, 8041, 899, 4993, 3557, 20088, 602, 616, 8348, 547, 7119, 269, 4107, 540, 1809, 974, 6019, 779, 4104, 4133, 616, 27352, 11262, 267, 14216, 2421, 1767, 269, 3414, 2836, 9605, 779, 17164, 566, 5004, 5358, 267, 519, 8116, 17648, 15668, 689, 2244, 14935, 1247, 10647, 11311, 17236, 282, 621, 849, 666, 3390, 14998, 585, 3959, 5411, 547, 798, 519, 8781, 2933, 269, 769, 519, 8545, 9183, 267, 2836, 9605, 2488, 5583, 543, 10986, 547, 1796, 676, 538, 2013, 1945, 4422, 4636, 563, 4913, 267, 1004, 1419, 19292, 547, 1689, 741, 3601, 865, 20427, 267, 14216, 2421, 1767, 281, 968, 2005, 2242, 519, 1259, 519, 5251, 5654, 269, 1879, 596, 6633, 267, 621, 779, 2469, 547, 1413, 1114, 585, 519, 1985, 476, 1015, 1296, 610, 865, 2394, 1919, 1205, 3039, 1586, 3034, 9773, 27852, 1419, 15143, 936, 11889, 23665, 607, 1134, 269, 3465, 8282, 17236, 991, 519, 979, 8584, 3650, 689, 519, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 1070, 519, 8116, 9901, 609, 4509, 5313, 2011, 7779, 4441, 267, 607, 1134, 607, 2199, 2011, 13102, 563, 290, 2752, 289, 568, 3843, 547, 5347, 856, 519, 13170, 1184, 267, 1767, 3798, 773, 26284, 267, 519, 8116, 779, 1244, 14280, 10324, 11464, 267, 1282, 519, 9741, 14208, 1478, 8189, 6217, 269, 634, 4674, 3322, 12561, 1007, 8673, 15065, 13501, 543, 4365, 21524, 9934, 4066, 547, 948, 3391, 519, 3664, 540, 2199, 2011, 7779, 9946, 269, 634, 8945, 267, 1352, 3773, 267, 568, 8781, 811, 1510, 3648, 18363, 2011, 5533, 543, 1480, 1072, 563, 14071, 5431, 602, 11311, 17236, 666, 2087, 4104, 1072, 543, 1267, 538, 513, 2121, 5786, 540, 8511, 575, 13293, 538, 519, 1279, 2165, 2223, 1352, 1767, 269, 968, 2171, 616, 8362, 3168, 585, 2081, 547, 2333, 519, 17236, 1848, 0, 10817, 728, 267, 28924, 16086, 267, 10410, 11948, 543, 824, 454, 1607, 2647, 8573, 4474, 21038, 11394, 547, 7520, 606, 1935, 547, 519, 1353, 540, 4984, 602, 568, 22679, 3931, 267, 10763, 543, 25091, 269, 16241, 6114, 547, 5837, 2042, 786, 581, 29499, 593, 676, 6267, 267, 2055, 827, 519, 2495, 540, 1272, 786, 581, 3989, 543, 5941, 267, 543, 519, 6935, 540, 5132, 547, 3270, 540, 3661, 543, 2962, 786, 581, 17019, 269, 1358, 1382, 8567, 2073, 5771, 543, 17194, 267, 5356, 606, 4367, 547, 4984, 781, 18447, 543, 3309, 6228, 563, 302, 262, 20946, 9142, 2488, 2298, 6651, 267, 28924, 16086, 267, 10410, 11948, 543, 824, 1644, 1570, 540, 16241, 5525, 269, 13966, 609, 891, 596, 666, 1265, 519, 2250, 4574, 543, 4967, 540, 16241, 5525, 269, 2353, 519, 9115, 2139, 1934, 568, 11613, 1863, 540, 1942, 543, 4843, 883, 1360, 13561, 6073, 269, 1403, 596, 3068, 1022, 7411, 267, 649, 616, 2141, 1930, 585, 707, 10372, 269, 0, 303, 1251, 267, 519, 1034, 2442, 5779, 593, 519, 4541, 267, 4991, 10057, 538, 4430, 540, 476, 8099, 2929, 9748, 1169, 1032, 267, 1818, 621, 513, 3810, 19311, 2344, 585, 6705, 269, 1809, 952, 596, 798, 513, 2370, 20857, 267, 596, 3605, 930, 1659, 995, 6477, 5013, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 5173, 476, 6246, 269, 4817, 3723, 6550, 547, 13532, 7397, 596, 991, 547, 9062, 476, 6246, 269, 4817, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 6246, 269, 4817, 3723, 6550, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 6246, 269, 4817, 3723, 6550, 786, 581, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 7503, 729, 607, 2653, 607, 476, 6246, 269, 4817, 11304, 883, 6550, 24740, 780, 1607, 2376, 729, 513, 5458, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 6246, 269, 4817, 4846, 547, 7273, 538, 7503, 269, 8729, 547, 713, 9819, 596, 4121, 476, 6246, 269, 4817, 11304, 568, 6697, 547, 875, 1082, 6550, 780, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 6246, 269, 4817, 11304, 547, 11973, 6550, 855, 849, 1079, 824, 9273, 910, 547, 2638, 875, 1082, 476, 6246, 269, 4817, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 6246, 269, 4817, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 1776, 3070, 547, 1118, 476, 6246, 269, 4817, 11304, 875, 1082, 6550, 24740, 267, 602, 568, 1210, 476, 6246, 269, 4817, 4846, 679, 11013, 9498, 269, 898, 786, 581, 519, 1655, 4781, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 713, 942, 798, 711, 1616, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 24740, 593, 707, 1378, 780, 2171, 4126, 602, 1631, 782, 540, 596, 666, 798, 476, 6246, 269, 4817, 11304, 3160, 547, 875, 1082, 6550, 7503, 910, 593, 707, 1378, 610, 1210, 938, 476, 6246, 269, 4817, 4846, 338, 547, 6550, 9498, 780, 10673, 1406, 7227, 256, 22417, 476, 6246, 269, 4817, 11304, 2527, 547, 6550, 538, 519, 1655, 1259, 585, 596, 780, 2710, 596, 1616, 547, 798, 824, 982, 476, 6246, 269, 4817, 11304, 607, 6550, 9819, 286, 1280, 1383, 267, 585, 476, 276, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 2338, 540, 13532, 616, 865, 3274, 607, 585, 476, 6246, 269, 4817, 11304, 3160, 1082, 6550, 780, 2162, 1215, 1454, 568, 476, 6246, 269, 4817, 4846, 538, 6550, 692, 4263, 519, 1439, 267, 649, 616, 2469, 547, 17412, 519, 1888, 540, 713, 2376, 267, 602, 568, 875, 1454, 568, 476, 6246, 269, 4817, 4846, 538, 6550, 2073, 649, 10356, 4267, 547, 519, 1034, 4749, 4280, 2055, 269, 3371, 649, 723, 585, 596, 519, 1034, 1271, 1344, 827, 875, 1454, 568, 476, 6246, 269, 4817, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 6246, 269, 4817, 4846, 547, 7273, 1547, 2913, 779, 1294, 780, 1432, 568, 519, 11304, 547, 11013, 7503, 286, 1677, 1118, 519, 4846, 547, 18470, 7503, 621, 568, 2877, 547, 9062, 476, 273, 2338, 269, 1215, 1281, 476, 6246, 269, 4817, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 898, 568, 1524, 2630, 1384, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 692, 1692, 1281, 519, 1267, 540, 519, 7503, 540, 476, 6246, 269, 4817, 11304, 547, 6550, 286, 634, 4977, 2626, 568, 476, 9834, 269, 8660, 274, 13932, 14983, 271, 18470, 780, 2005, 568, 849, 2009, 547, 5173, 875, 1454, 476, 6246, 269, 4817, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 4443, 4528, 540, 519, 4542, 269, 5620, 513, 1413, 780, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 692, 3383, 713, 942, 267, 476, 6246, 269, 4817, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 1267, 568, 476, 9834, 269, 8660, 274, 13932, 14983, 271, 7273, 780, 1692, 547, 6460, 476, 6246, 269, 4817, 4846, 547, 7273, 538, 606, 4443, 1259, 286, 1411, 666, 849, 946, 519, 476, 6246, 269, 4817, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 782, 9273, 585, 596, 543, 2285, 596, 606, 4977, 2626, 16317, 2971, 18741, 9999, 1496, 11899, 6540, 763, 11304, 267, 610, 11304, 1889, 267, 568, 519, 3490, 1770, 540, 2597, 538, 519, 5450, 878, 1062, 269, 898, 568, 519, 16977, 2597, 540, 513, 13306, 540, 1216, 476, 1015, 17744, 593, 513, 2427, 780, 2971, 623, 2432, 1496, 331, 2125, 6540, 288, 11013, 568, 513, 1770, 540, 2597, 4122, 1031, 538, 519, 2136, 2276, 543, 519, 3703, 1455, 17314, 338, 269, 589, 11013, 568, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 0, 258, 1677, 5173, 26914, 11965, 28595, 692, 300, 3722, 11965, 4542, 28595, 3096, 2901, 513, 19394, 3666, 4542, 610, 513, 2786, 11060, 4542, 780, 300, 3722, 11965, 18135, 697, 6441, 710, 16754, 3493, 21090, 692, 1103, 519, 26914, 11965, 2786, 11060, 1505, 267, 700, 301, 21410, 513, 1007, 10858, 6871, 540, 28595, 538, 1142, 1032, 540, 519, 10697, 781, 1272, 269, 634, 26914, 11965, 20793, 4542, 3096, 519, 10697, 781, 6967, 1272, 2864, 982, 922, 3312, 28595, 1272, 538, 519, 9819, 780, 1103, 26914, 11965, 2786, 1899, 267, 700, 301, 21410, 519, 6871, 585, 513, 1032, 676, 12270, 835, 28595, 1974, 676, 519, 6967, 1272, 540, 519, 10697, 267, 543, 1287, 7311, 713, 2179, 609, 519, 19011, 1645, 15007, 547, 3313, 519, 28595, 2179, 585, 602, 1032, 780, 1103, 519, 1101, 1032, 267, 700, 301, 17337, 519, 4611, 5993, 28595, 2179, 14961, 2066, 1142, 1974, 689, 519, 4098, 540, 519, 6051, 1974, 547, 519, 1439, 540, 519, 1032, 269, 769, 7766, 1296, 267, 700, 301, 17337, 519, 28595, 2179, 14961, 2066, 1142, 1974, 538, 519, 1032, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 780, 300, 3722, 11965, 2786, 1899, 4542, 1384, 3499, 24119, 21090, 815, 476, 630, 322, 739, 910, 19017, 28595, 264, 2608, 630, 272, 1315, 6967, 1272, 994, 8199, 7078, 692, 7312, 2754, 814, 606, 10697, 609, 513, 1942, 540, 8096, 1015, 267, 1822, 267, 606, 6059, 1272, 540, 5722, 1296, 267, 543, 513, 3368, 1032, 19011, 1645, 15007, 269, 5221, 540, 519, 19011, 1645, 15007, 267, 700, 301, 1590, 5173, 519, 2407, 5993, 28595, 585, 519, 1101, 1032, 855, 2594, 1152, 3368, 540, 519, 4611, 28595, 269, 634, 5993, 28595, 585, 519, 1101, 1032, 540, 519, 10697, 781, 1272, 568, 7229, 607, 1384, 3499, 314, 8096, 1015, 267, 1822, 2608, 630, 272, 1315, 476, 278, 264, 23378, 6303, 13090, 815, 8096, 278, 1691, 269, 3066, 454, 273, 454, 7884, 299, 301, 17337, 713, 2179, 14961, 689, 519, 538, 28129, 4266, 547, 519, 1439, 540, 519, 1101, 16642, 1032, 780, 1103, 519, 2034, 1032, 540, 519, 10697, 781, 1272, 267, 519, 6967, 1272, 568, 1631, 476, 277, 269, 276, 1296, 269, 700, 301, 21410, 519, 5993, 28595, 607, 5205, 1384, 319, 314, 630, 15478, 1015, 267, 1822, 910, 8096, 278, 1691, 269, 3066, 264, 2608, 630, 272, 1315, 476, 277, 269, 276, 264, 9948, 815, 8096, 16318, 279, 269, 6872, 26384, 299, 301, 17337, 713, 2179, 14961, 2066, 519, 12964, 5712, 538, 519, 11706, 1032, 799, 2164, 538, 513, 28595, 2179, 540, 8096, 15686, 269, 4962, 538, 1142, 1974, 540, 519, 2034, 1032, 780, 1103, 519, 3791, 1032, 540, 519, 10697, 781, 1272, 267, 519, 6967, 1272, 568, 1631, 476, 276, 269, 276, 1296, 269, 700, 301, 21410, 519, 5993, 28595, 607, 5205, 1384, 319, 314, 630, 15478, 1015, 267, 1822, 910, 8096, 20969, 273, 269, 10436, 264, 2608, 630, 272, 1315, 476, 276, 269, 276, 264, 9948, 815, 8096, 16318, 279, 269, 6872, 26384, 299, 301, 17337, 713, 2179, 14961, 2066, 519, 12964, 5712, 538, 519, 11706, 1032, 799, 2164, 538, 513, 28595, 2179, 540, 8096, 15686, 269, 4962, 538, 1142, 1974, 540, 519, 3791, 1032, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 780, 300, 3722, 11965, 13207, 1456, 18696, 3493, 21090, 692, 763, 4542, 1031, 676, 26914, 11965, 19394, 3666, 568, 519, 1482, 607, 519, 4542, 1031, 538, 519, 2834, 19394, 3666, 4542, 609, 513, 6467, 547, 2786, 1899, 269, 700, 301, 3096, 19394, 3666, 585, 519, 1101, 6712, 540, 519, 10697, 781, 1272, 267, 1287, 17176, 547, 2786, 1899, 609, 6967, 1272, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 269, 0, 258, 8771, 630, 8421, 545, 2020, 1103, 7954, 267, 7301, 610, 2150, 4902, 568, 519, 1533, 540, 28429, 2942, 5168, 1871, 610, 513, 14275, 776, 9266, 24561, 269, 769, 513, 5168, 1922, 23341, 1062, 540, 20790, 531, 7954, 621, 568, 835, 540, 1079, 2022, 4327, 5168, 2418, 267, 2059, 609, 922, 2258, 566, 267, 5168, 16804, 272, 316, 2974, 783, 711, 725, 540, 519, 7301, 616, 476, 271, 630, 18034, 538, 29491, 7954, 543, 2780, 2257, 1070, 744, 630, 514, 18772, 10035, 267, 14956, 336, 1070, 543, 519, 909, 8214, 3090, 1109, 414, 488, 354, 16804, 273, 6540, 5194, 1935, 568, 1031, 585, 1896, 6101, 6436, 630, 1721, 1383, 267, 20932, 2065, 20790, 531, 11810, 264, 1141, 519, 7301, 568, 513, 20790, 531, 3586, 630, 328, 4318, 269, 513, 14275, 776, 24561, 264, 1109, 414, 488, 354, 267, 519, 5168, 1871, 540, 713, 3586, 1373, 2141, 7301, 538, 519, 2631, 1657, 16804, 274, 6012, 275, 6012, 276, 6540, 1012, 769, 8106, 7954, 543, 29491, 7954, 692, 1103, 29491, 7954, 1142, 4756, 18575, 513, 18266, 1871, 799, 666, 581, 2901, 3020, 630, 272, 1070, 610, 7301, 630, 271, 1040, 769, 513, 8106, 20790, 531, 11810, 1142, 20790, 786, 581, 8655, 513, 5168, 1871, 540, 2901, 3020, 610, 7301, 269, 2368, 1949, 540, 8106, 7954, 1331, 6131, 6698, 585, 7301, 630, 271, 610, 2340, 488, 354, 1070, 1866, 3079, 7048, 2390, 12596, 971, 607, 533, 31961, 2485, 361, 335, 543, 2485, 361, 263, 653, 6393, 1103, 1312, 29491, 7954, 543, 18190, 7954, 1949, 267, 3020, 543, 7301, 616, 6587, 609, 2463, 547, 2258, 566, 282, 634, 2258, 566, 540, 7301, 3947, 3020, 267, 543, 519, 2258, 566, 540, 3020, 3947, 7301, 780, 21851, 6234, 1535, 4151, 12276, 6234, 1422, 10864, 1535, 21456, 25152, 7301, 454, 32401, 3020, 692, 763, 2258, 566, 540, 7301, 568, 6697, 547, 519, 5168, 711, 1152, 538, 8106, 7954, 543, 29491, 7954, 267, 855, 849, 538, 1034, 824, 9266, 1949, 267, 607, 6045, 2630, 780, 1103, 1034, 9266, 1949, 267, 2258, 566, 267, 1570, 19585, 543, 7301, 616, 1644, 607, 1384, 12953, 335, 2340, 485, 498, 630, 335, 9890, 2340, 488, 354, 2020, 1607, 568, 519, 4214, 540, 2258, 566, 538, 930, 1949, 267, 314, 277, 316, 971, 607, 20932, 2065, 7954, 267, 543, 666, 581, 8810, 538, 20790, 531, 2301, 328, 1141, 2258, 566, 568, 513, 4909, 24561, 269, 5221, 6032, 568, 2356, 513, 11532, 610, 24936, 558, 267, 513, 12343, 568, 602, 519, 2258, 566, 540, 7301, 630, 12953, 2340, 488, 354, 264, 568, 3020, 780, 763, 27171, 568, 513, 3948, 799, 14122, 519, 7301, 267, 1775, 4318, 269, 26420, 2340, 488, 351, 2340, 488, 354, 269, 4635, 519, 30424, 1657, 267, 519, 1249, 602, 26420, 568, 513, 27171, 949, 581, 6508, 267, 585, 1383, 267, 689, 2340, 488, 351, 2485, 361, 395, 484, 269, 2552, 2784, 2109, 543, 519, 7301, 616, 3006, 711, 13747, 267, 2523, 1813, 547, 5824, 2165, 535, 1023, 636, 3954, 7627, 1312, 269, 2552, 2784, 2109, 1797, 513, 3948, 568, 8810, 547, 581, 7301, 267, 855, 519, 7301, 3294, 568, 513, 20790, 799, 568, 3989, 547, 581, 6587, 547, 519, 5168, 780, 299, 16479, 1949, 949, 610, 949, 711, 2270, 519, 6240, 540, 16411, 630, 514, 5824, 267, 608, 535, 10193, 844, 617 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6187, 5463, 476, 1708, 274, 692, 258, 1215, 547, 22417, 476, 12893, 623, 2432, 547, 918, 326, 286, 1496, 1708, 274, 6540, 1012, 22417, 476, 12893, 623, 2432, 547, 918, 326, 692, 8702, 547, 476, 12893, 6550, 547, 4846, 267, 938, 2376, 827, 519, 476, 12893, 6550, 547, 4846, 7503, 269, 1403, 596, 723, 2097, 1934, 676, 6313, 585, 476, 12893, 6550, 538, 737, 3342, 267, 610, 952, 596, 723, 1336, 721, 6065, 1154, 875, 1082, 4846, 538, 476, 12893, 6550, 267, 596, 616, 1318, 1934, 267, 1932, 780, 2691, 649, 2328, 476, 12893, 6550, 547, 737, 3342, 610, 946, 606, 26922, 2165, 267, 649, 1611, 519, 1770, 3486, 1285, 7546, 16632, 12251, 11013, 282, 585, 476, 12893, 7273, 883, 4846, 538, 3504, 4559, 540, 2527, 267, 5225, 1353, 11489, 519, 2063, 3296, 780, 1012, 22417, 476, 12893, 700, 2125, 547, 918, 294, 692, 339, 568, 711, 2182, 547, 6460, 476, 12893, 7273, 269, 547, 4846, 693, 782, 269, 1411, 666, 798, 519, 7503, 16924, 689, 519, 20303, 543, 519, 3113, 780, 2414, 917, 856, 875, 1082, 13532, 476, 12893, 6550, 616, 267, 9062, 519, 6550, 676, 476, 271, 269, 28526, 30020, 4391, 269, 1411, 666, 17492, 713, 607, 476, 12893, 1535, 476, 271, 269, 28526, 30020, 4391, 269, 4635, 713, 1259, 267, 649, 1205, 476, 7367, 269, 1626, 267, 799, 568, 1018, 476, 12893, 6550, 568, 538, 4846, 780, 2791, 666, 2328, 713, 538, 1114, 2081, 1384, 1892, 476, 12893, 6550, 568, 3160, 547, 476, 7367, 269, 1626, 4846, 454, 1892, 476, 12893, 7273, 269, 568, 6697, 547, 476, 7367, 269, 1626, 13532, 454, 1892, 476, 12893, 18470, 269, 568, 3160, 547, 476, 7367, 269, 1626, 4846, 780, 2005, 1281, 711, 513, 1966, 2436, 596, 946, 4846, 267, 737, 3342, 610, 11304, 269, 898, 3085, 1406, 8373, 952, 596, 946, 7273, 269, 18470, 269, 610, 623, 895, 10322, 1782, 269, 634, 1267, 568, 2141, 519, 1482, 269, 1403, 596, 1616, 547, 5180, 2338, 543, 1810, 1406, 991, 8856, 609, 17447, 267, 596, 666, 7941, 476, 12893, 6550, 269, 5455, 547, 476, 273, 269, 273, 269, 5457, 602, 513, 2582, 11304, 568, 5111, 476, 273, 269, 273, 6550, 269, 1924, 693, 476, 12893, 7273, 269, 1411, 7941, 676, 476, 273, 269, 273, 267, 543, 596, 1205, 476, 7367, 269, 1626, 4846, 269, 1411, 666, 1406, 946, 713, 4480, 609, 1152, 476, 12893, 6550, 269, 1809, 782, 6550, 267, 1519, 1346, 609, 513, 8918, 269, 1306, 596, 666, 1294, 267, 519, 1184, 568, 711, 607, 7294, 607, 596, 1522, 723, 16545, 693, 1101, 780, 1012, 1548, 616, 623, 2432, 2496, 763, 11013, 630, 629, 12934, 7007, 18470, 269, 610, 7273, 4700, 568, 1031, 547, 2268, 519, 2527, 540, 606, 1843, 269, 2201, 513, 3232, 3490, 267, 621, 568, 849, 1031, 547, 2268, 519, 2597, 540, 606, 1843, 269, 1703, 723, 1044, 1114, 2010, 540, 2835, 2429, 1686, 269, 634, 835, 1031, 585, 20604, 538, 519, 2136, 2276, 543, 824, 2477, 568, 519, 3486, 1285, 7546, 16632, 12251, 11013, 780, 763, 28008, 1433, 269, 1656, 7273, 269, 898, 2501, 689, 519, 4936, 2597, 11013, 269, 634, 11013, 4422, 547, 519, 11440, 6482, 1062, 267, 7429, 519, 11304, 267, 799, 12851, 547, 519, 11973, 1062, 269, 634, 946, 540, 6550, 676, 2597, 568, 3044, 538, 519, 2136, 2276, 267, 607, 621, 568, 538, 519, 1964, 540, 519, 11440, 1062, 780, 1012, 1548, 568, 18741, 6945, 2496, 763, 11304, 630, 629, 12934, 2747, 4846, 264, 568, 519, 3490, 1770, 540, 519, 11973, 1062, 585, 2527, 269, 769, 6082, 602, 946, 519, 11973, 1062, 267, 519, 11304, 568, 1031, 538, 1747, 540, 519, 11013, 547, 3313, 519, 2597, 540, 606, 1843, 269, 476, 272, 11304, 11224, 476, 273, 269, 14225, 277, 1285, 7546, 16632, 12251, 6550, 269, 589, 2582, 11304, 568, 3160, 547, 476, 1911, 271, 10101, 269, 898, 568, 519, 1152, 11973, 1062, 1770, 609, 606, 16038, 18772, 269, 1411, 786, 5469, 602, 11304, 568, 849, 2854, 607, 4893, 334, 610, 11304, 780, 298, 559, 9999, 267, 899, 6550, 267, 3277, 547, 606, 1843, 779, 2527, 267, 711, 519, 2597, 269, 13379, 568, 4299, 676, 8904, 267, 1247, 519, 1895, 3788, 519, 1482, 269, 1809, 585, 519, 19160, 540, 16134, 543, 6671, 946, 267, 13532, 543, 6550, 269, 31160, 519, 2597, 780, 1012, 476, 12893, 700, 7034, 568, 26321, 547, 875, 3509, 918, 294, 692, 3086, 1577, 779, 4194, 519, 1966, 540, 875, 1082, 4846, 568, 476, 12893, 7273, 269, 898, 568, 269, 476, 12893, 6550, 11224, 476, 7367, 269, 1626, 4846, 282, 596, 666, 1265, 713, 1267, 538, 938, 5750, 610, 20303, 269, 1411, 666, 849, 3035, 713, 1267, 1210, 835, 540, 519, 2409, 4330, 1934, 780, 2005, 3085, 1406, 2339, 1141, 596, 616, 610, 1018, 1770, 540, 6482, 596, 917, 282, 519, 1184, 3177, 1934, 786, 2327, 596, 1810, 1406, 1118, 1022, 9073, 780, 6524, 25759, 713, 3391, 267, 649, 1590, 1448, 856, 602, 519, 1344, 1934, 568, 585, 519, 1285, 7546, 16632, 12251, 11013, 269, 634, 9273, 649, 1683, 616, 1152, 3448, 547, 519, 1285, 7546, 16632, 12251, 11013, 543, 922, 6697, 538, 13532, 780, 2252, 596, 2461, 5461, 538, 891, 824, 2835, 267, 1934, 779, 513, 2656, 3391, 543, 24072, 1384, 1892, 476, 272, 512, 5797, 11013, 11224, 476, 271, 269, 32699, 273, 4846, 454, 1892, 476, 272, 11013, 2490, 11224, 476, 271, 269, 4097, 280, 280, 4846, 454, 1892, 476, 272, 11973, 11013, 11224, 476, 271, 269, 276, 4846, 454, 1892, 476, 272, 4123, 11013, 11224, 476, 271, 269, 275, 4391, 275, 4846, 454, 1892, 476, 272, 5507, 11013, 11224, 476, 271, 269, 5379, 277, 277, 13532, 780, 4322, 4559, 941, 5116, 1934, 547, 581, 6192, 269, 1717, 267, 596, 616, 12691, 547, 946, 873, 1317, 18318, 543, 23965, 1100, 3476, 946, 873, 547, 2268, 269, 769, 3592, 782, 2665, 267, 519, 1285, 7546, 16632, 12251, 11013, 568, 946, 780, 1012, 16754, 547, 22417, 476, 12893, 623, 2432, 547, 18741, 6945, 692, 2414, 6460, 476, 12893, 7273, 547, 4846, 267, 9062, 519, 2527, 538, 6550, 676, 476, 271, 269, 28526, 30020, 4391, 780, 763, 476, 12893, 7273, 538, 4846, 4542, 568, 1496, 11899, 316, 815, 1496, 12893, 316, 2608, 476, 271, 269, 28526, 30020, 4391, 269, 4935, 267, 585, 476, 12893, 6550, 538, 737, 3342, 267, 649, 1205, 1384, 12893, 7273, 547, 4846, 815, 476, 7367, 269, 1626, 4846, 692, 12893, 6550, 547, 13532, 568, 476, 7367, 269, 1626, 4846, 692, 1012, 13565, 590, 792, 2583, 692, 8099, 7273, 547, 4846, 692, 9873, 7273, 547, 4846, 692, 21497, 7273, 547, 4846, 692, 1220, 7273, 547, 4846, 692, 9610, 7273, 547, 4846, 692, 1708, 7273, 547, 4846, 692, 12893, 7273, 547, 6550, 692, 13647, 7273, 547, 4846, 692, 9827, 3367, 281, 1109, 1692, 547, 22417, 476, 12208, 623, 2432, 547, 918, 326, 286, 0, 299, 692, 763, 3259, 540, 519, 1899, 689, 1448, 476, 273, 547, 1448, 476, 280, 267, 737, 568, 737, 815, 678, 16009, 263, 347, 328, 2020, 763, 3259, 540, 519, 1899, 689, 1448, 476, 273, 547, 1448, 476, 1015, 267, 700, 568, 692, 763, 10974, 540, 1448, 476, 280, 616, 3143, 815, 630, 330, 266, 299, 264, 2608, 5430, 513, 1547, 1341, 715, 280, 692, 292, 280, 815, 630, 330, 266, 299, 264, 2608, 5430, 630, 274, 320, 266, 329, 1341, 661, 273, 966, 280, 815, 630, 330, 266, 299, 264, 2608, 5430, 962, 320, 266, 329, 1341, 966, 273, 692, 763, 10974, 540, 1448, 476, 1015, 616, 692, 301, 1015, 815, 700, 2608, 5430, 513, 320, 266, 329, 1341, 715, 273, 661, 1015, 815, 700, 2608, 5430, 630, 274, 320, 266, 329, 1341, 661, 273, 966, 1015, 815, 700, 2608, 5430, 586, 320, 266, 329, 1341, 966, 273, 692, 763, 3259, 540, 1899, 512, 266, 345, 543, 922, 4287, 5430, 1149, 616, 9745, 692, 301, 280, 9539, 275, 661, 280, 7232, 275, 966, 280, 13305, 275, 692, 763, 3845, 689, 1448, 476, 280, 547, 1448, 476, 279, 267, 512, 267, 543, 519, 10974, 540, 1448, 476, 279, 476, 275, 270, 692, 732, 678, 692, 301, 279, 815, 512, 2608, 5430, 693, 266, 345, 1341, 715, 280, 661, 279, 815, 512, 265, 6523, 29967, 339, 266, 345, 1341, 661, 280, 966, 279, 815, 512, 2608, 5430, 586, 339, 266, 273, 1341, 966, 280, 692, 763, 3259, 540, 1899, 579, 689, 1448, 476, 1015, 547, 1448, 476, 279, 543, 519, 4287, 5430, 1149, 540, 476, 1015, 317, 579, 543, 544, 616, 579, 579, 815, 513, 14370, 301, 279, 910, 715, 1015, 264, 273, 1341, 630, 292, 326, 910, 661, 1015, 264, 273, 1341, 630, 309, 279, 910, 966, 1015, 264, 273, 692, 15675, 532, 519, 3259, 540, 1899, 544, 547, 581, 9322, 267, 519, 10974, 540, 1448, 476, 1321, 616, 692, 301, 1321, 815, 476, 272, 2608, 5430, 17333, 329, 1341, 715, 279, 661, 1321, 815, 476, 272, 2608, 5430, 533, 329, 1341, 661, 279, 966, 1321, 815, 476, 272, 2608, 5430, 586, 317, 1341, 966, 279, 634, 10974, 540, 1448, 476, 1556, 799, 6013, 835, 1770, 2047, 1657, 1448, 476, 279, 616, 692, 763, 3259, 540, 1899, 7117, 689, 1448, 269, 476, 1556, 547, 1448, 476, 1321, 543, 519, 4287, 5430, 1149, 540, 7117, 616, 7117, 815, 966, 18217, 1321, 910, 715, 333, 264, 273, 1341, 630, 14976, 273, 910, 2037, 264, 273, 1341, 630, 309, 1321, 910, 642, 333, 264, 273, 692, 763, 5086, 476, 276, 1063, 1899, 562, 543, 1899, 7117, 568, 561, 273, 2000, 273, 268, 336, 273, 476, 279, 815, 1035, 657, 8987, 476, 273, 2608, 1775, 2608, 7117, 25589, 763, 3259, 540, 586, 267, 1448, 476, 279, 547, 1448, 476, 1691, 568, 586, 815, 476, 272, 2608, 16009, 22829, 2020, 763, 1876, 540, 521, 1149, 3947, 519, 3259, 540, 519, 1899, 533, 267, 689, 1448, 476, 1556, 547, 1448, 476, 1691, 692, 763, 10974, 540, 1448, 476, 1691, 616, 692, 763, 4287, 5430, 1149, 540, 1899, 586, 616, 5430, 32318, 25883, 763, 1907, 3068, 10047, 5086, 586, 799, 568, 519, 5086, 1063, 519, 1990, 543, 586, 568, 586, 815, 1035, 657, 263, 5430, 513, 5430, 513, 269, 1341, 5430, 645, 5430, 645, 269, 1341, 5430, 586, 5430, 476, 278, 269, 3738, 0, 258, 5565, 1448, 3043, 15956, 616, 476, 272, 7825, 6306, 593, 513, 3109, 1957, 269, 1358, 616, 9763, 676, 3750, 540, 20194, 8006, 476, 274, 7825, 269, 27051, 267, 1018, 568, 519, 5021, 3845, 693, 799, 891, 546, 1080, 666, 581, 17251, 676, 519, 3750, 286, 1496, 12648, 5951, 548, 331, 978, 628, 540, 1769, 815, 4335, 333, 332, 6540, 288, 692, 277, 544, 692, 289, 692, 274, 544, 692, 290, 692, 276, 544, 692, 291, 692, 272, 692, 21581, 8827, 454, 17806, 8827, 454, 19723, 1881, 676, 20226, 692, 1012, 18529, 15184, 24210, 323, 284, 272, 269, 2420, 16575, 320, 2340, 18568, 323, 284, 272, 9943, 1015, 6629, 274, 9943, 274, 9943, 1015, 6629, 4029, 269, 2420, 9943, 4335, 9943, 1015, 6629, 280, 815, 476, 275, 269, 11011, 815, 476, 276, 332, 16317, 2008, 24993, 593, 281, 2641, 270, 5881, 270, 1708, 274, 692, 2162, 11310, 6744, 692, 1892, 7726, 476, 272, 910, 8564, 2290, 692, 1012, 1280, 519, 3510, 540, 519, 3105, 2243, 267, 1265, 519, 5021, 3845, 693, 799, 519, 3750, 1131, 581, 2111, 547, 8207, 519, 1079, 2212, 7547, 540, 513, 1286, 799, 616, 693, 513, 3845, 540, 476, 272, 269, 276, 332, 780, 288, 5416, 264, 476, 6110, 271, 332, 454, 289, 6357, 264, 476, 6344, 271, 333, 332, 454, 290, 6262, 264, 476, 7785, 332, 454, 291, 5560, 264, 476, 1839, 332, 454, 1892, 7726, 476, 273, 910, 8564, 2290, 692, 1012, 1403, 519, 6571, 3970, 540, 519, 3750, 568, 476, 272, 1295, 543, 693, 513, 3845, 1535, 5998, 689, 519, 3750, 267, 17408, 7606, 6763, 609, 513, 14694, 9668, 540, 476, 274, 544, 267, 1287, 5173, 1535, 585, 799, 519, 1079, 1268, 666, 581, 17251, 676, 519, 8405, 539, 3750, 692, 288, 1015, 5998, 454, 289, 1428, 5998, 454, 290, 736, 5998, 454, 291, 1789, 5998, 454, 1892, 7726, 476, 274, 910, 8564, 2290, 692, 1012, 1403, 519, 6571, 3970, 540, 519, 3750, 568, 476, 272, 1295, 543, 693, 513, 3845, 1535, 5998, 689, 519, 3750, 267, 1079, 1268, 267, 6763, 609, 513, 14694, 9668, 540, 476, 274, 544, 267, 1287, 5173, 530, 585, 799, 519, 1079, 1268, 666, 581, 1175, 17251, 676, 519, 8405, 539, 3750, 692, 288 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1118, 621, 16173, 538, 269, 8729, 620, 582, 2433, 994, 291, 1511, 692, 11847, 569, 692, 4391, 3683, 1703, 692, 1607, 568, 513, 14951, 12617, 585, 803, 1934, 2507, 6343, 7772, 8627, 2439, 3674, 713, 513, 726, 1195, 6025, 944, 264, 1031, 538, 556, 327, 1301, 517, 1436, 540, 513, 5152, 610, 4062, 2496, 12552, 780, 289, 1652, 780, 11847, 569, 692, 4343, 521, 830, 517, 692, 10472, 568, 1007, 543, 3078, 1547, 8729, 795, 1069, 12578, 692, 11847, 569, 692, 4375, 5191, 692, 342, 578, 713, 568, 1390, 269, 5994, 519, 2186, 540, 22334, 1775, 993, 8066, 269, 8729, 269, 594, 5660, 621, 692, 11847, 569, 692, 2412, 27950, 692, 12552, 585, 713, 267, 922, 9735, 269, 8307, 3364, 594, 1810, 1406, 1174, 568, 1946, 568, 589, 610, 589, 278, 519, 6281, 8789, 540, 667, 5634, 269, 4208, 3884, 1406, 621, 2549, 278, 2496, 11847, 569, 692, 6078, 25414, 692, 31549, 4896, 4280, 968, 1692, 798, 596, 917, 950, 547, 1404, 513, 6281, 8789, 16147, 286, 18833, 602, 667, 278, 568, 519, 6281, 8789, 538, 519, 1883, 540, 595, 1281, 711, 2995, 803, 1018, 621, 568, 827, 519, 5152, 602, 1131, 2014, 803, 547, 1404, 513, 667, 278, 16147, 780, 11847, 569, 692, 5655, 808, 294, 692, 2005, 779, 972, 2507, 3494, 803, 267, 621, 779, 782, 972, 780, 11847, 569, 692, 6246, 623, 330, 617, 10937, 692, 288, 1007, 635, 518, 2336, 9617, 547, 2161, 7064, 547, 596, 585, 713, 3992, 269, 594, 729, 1210, 667, 332, 547, 16056, 547, 717, 538, 595, 1883, 543, 2760, 1589, 547, 6318, 667, 16147, 779, 3791, 630, 293, 258, 264, 547, 1205, 20336, 1690, 799, 568, 519, 1483, 8789, 540, 717, 538, 717, 1883, 563, 3383, 7064, 513, 2603, 585, 8774, 532, 1769, 593, 713, 563, 8802, 1841, 692, 11847, 569, 692, 4510, 24883, 692, 12552, 513, 2603, 808, 1069, 12578, 269, 634, 7778, 729, 2312, 543, 2653, 547, 1174, 269, 16393, 596, 2491, 827, 6905, 2531, 514, 1218, 267, 568, 602, 519, 8789, 540, 519, 6281, 8789, 286, 1215, 666, 649, 946, 621, 888, 12552, 538, 4434, 585, 519, 2626, 267, 596, 1832, 938, 8186, 2786, 547, 519, 1448, 267, 7064, 1586, 7498, 10111, 32221, 454, 299, 9874, 3131, 14243, 692, 11847, 569, 692, 3393, 21098, 6945, 1350, 553, 26489, 692, 296, 5660, 707, 3638, 5816, 269, 1390, 1344, 269, 594, 4126, 596, 5305, 1866, 269, 594, 786, 3136, 2542, 692, 11847, 569, 692, 5379, 6341, 692, 296, 3357, 2066, 513, 19468, 956, 5152, 602, 1031, 513, 2101, 538, 519, 13797, 2990, 543, 4769, 1406, 917, 1141, 602, 1131, 723, 2097, 689, 269, 594, 3619, 690, 1194, 968, 2224, 513, 2101, 16147, 538, 476, 273, 526, 4110, 892, 543, 3357, 547, 707, 7778, 269, 594, 1589, 713, 5769, 3364, 543, 3406, 9817, 616, 2731, 27613, 6952, 593, 2439, 296, 1185, 1224, 2899, 827, 6281, 2531, 514, 1218, 865, 594, 1185, 606, 2856, 540, 1018, 789, 616, 267, 855, 1185, 16618, 827, 873, 269, 2659, 7778, 3576, 803, 782, 519, 1259, 269, 4279, 2816, 8206, 8729, 513, 2603, 8206, 594, 899, 707, 3450, 2511, 543, 1544, 547, 1224, 811, 540, 707, 8631, 780, 11847, 569, 692, 5325, 631, 8948, 328, 1513, 692, 296, 11432, 1229, 11488, 713, 533, 532, 3724, 5140, 4183, 692, 11847, 569, 692, 4366, 19375, 9197, 583, 7815, 692, 1692, 1281, 713, 3514, 883, 968, 12648, 634, 589, 21541, 5608, 609, 621, 779, 667, 278, 258, 1556, 16147, 267, 799, 4667, 547, 8207, 547, 717, 278, 286, 6733, 338, 899, 513, 6281, 8789, 267, 855, 519, 23260, 568, 1948, 1556, 269, 7316, 1281, 519, 717, 258, 2097, 689, 2496, 11847, 569, 692, 5392, 5985, 26099, 7816, 1750, 3122, 7615, 692, 15916, 267, 1775, 1589, 602, 1775, 4718, 596, 10272, 1250, 3135, 3976, 1775, 3357, 547, 968, 8873, 519, 3870, 6100, 296, 993, 12394, 547, 538, 4466, 2152, 547, 2087, 1250, 1357, 3135, 256, 296, 7058, 922, 7850, 547, 946, 930, 540, 707, 2093, 256, 2439, 11847, 569, 692, 2004, 26391, 623, 1231, 692, 296, 723, 513, 2243, 267, 952, 594, 723, 513, 5152, 602, 7363, 4422, 899, 713, 281, 594, 267, 594, 267, 966, 278, 267, 966, 278, 2715, 293, 267, 674, 267, 595, 278, 267, 595, 278, 8679, 4517, 594, 1689, 621, 547, 594, 267, 19274, 267, 25831, 267, 17886, 267, 13797, 267, 966, 278, 2715, 293, 267, 667, 332, 267, 2549, 267, 667, 278, 267, 717, 332, 267, 595, 278, 8679, 25898, 519, 11683, 17886, 581, 513, 18520, 667, 11395, 286, 594, 6557, 3168, 693, 513, 5750, 267, 543, 621, 5654, 899, 519, 966, 270, 12858, 855, 538, 519, 1883, 540, 645, 321, 286, 888, 4517, 952, 865, 267, 1946, 1281, 621, 3280, 1434, 547, 723, 621, 11683, 888, 3963, 798, 649, 1689, 891, 1019, 520, 4577, 22334, 547, 18520, 18067, 1218, 888, 12552, 14298, 1454, 281, 2020, 11847, 569, 692, 7906, 8776, 3057, 638, 529, 692, 23896, 269, 427, 375, 379, 519, 5152, 968, 1432, 519, 2622, 2115, 1631, 892, 538, 519, 14235, 269, 968, 299, 867, 649, 1810, 1406, 991, 1776, 7823, 892, 538, 476, 277, 5634, 476, 278, 630, 600, 278, 538, 519, 1883, 540, 524, 264, 543, 4422, 547, 575, 332, 630, 693, 519, 10239, 2262, 540, 968, 11004, 616, 10239, 892, 799, 594, 3494, 568, 1631, 519, 1883, 540, 674, 267, 543, 538, 1249, 5543, 1407, 547, 674, 269, 2052, 596, 2285, 803, 707, 1491, 593, 1018, 338, 8345, 972, 780, 11847, 569, 692, 7367, 5775, 2917, 654, 692, 296, 723, 1044, 1210, 6281, 8789, 22334, 538, 1250, 5152, 1603, 543, 4769, 1406, 1256, 917, 621, 269, 594, 1223, 2995, 789, 32131, 1434, 1498, 269, 2394, 917, 594, 1185, 2016, 2370, 2219, 607, 547, 1946, 269, 1589, 1250, 2247, 814, 1175, 1044, 27762, 1586, 269, 713, 4667, 547, 581, 513, 1455, 6249, 950, 1565, 2575, 3069, 780, 11847, 569, 692, 7871, 20917, 692, 15124, 2022, 855, 594, 993, 11821, 540, 835, 3364, 269, 634, 21022, 16147, 568, 2141, 23304, 12023, 1174, 2406, 1317, 621, 4992, 1167, 867, 656, 269, 4208, 666, 1406, 649, 1175, 1118, 519, 21022, 16147, 513, 2101, 610, 8789, 476, 278, 16147, 286, 4340, 547, 707, 2022, 519, 8789, 16147, 540, 25831, 568, 2141, 2469, 547, 581, 519, 1482, 18749, 4110, 4063, 540, 519, 4336, 630, 323, 574, 31944, 1040, 4208, 3884, 1406, 621, 1175, 6026, 1287, 547, 2141, 1404, 519, 21022, 16147, 607, 2101, 610, 8789, 476, 278, 2094, 621, 568, 519, 8789, 540, 519, 25831, 16147, 2496, 7312, 1702, 543, 3896, 616, 606, 5863, 948, 256, 594, 993, 865, 19914, 594, 1336, 621, 256, 8729, 2439, 11847, 569, 692, 7918, 667, 269, 25306, 692, 16031, 269, 717, 3419, 7714, 2676, 2791, 6045, 519, 6281, 8789, 865, 1134, 2394, 594, 6956, 538, 835, 9361, 15660, 454, 12648, 2575, 3069, 543, 621, 666, 581, 7168, 4101, 693, 2053, 269, 594, 3893, 519, 1523, 1369, 3764, 540, 2542, 621, 269, 594, 917, 602, 898, 12582, 1406, 1491, 585, 2479, 547, 1451, 621, 269, 540, 1576, 621, 5673, 593, 519, 1367, 269, 594, 6557, 19914, 594, 1336, 707, 3135, 269, 594, 786, 581, 1394, 563, 12552, 513, 2929, 269, 667, 269, 25306, 692, 11847, 569, 692, 4649, 966, 1564, 515, 571, 9652, 692, 14188, 596, 14298, 1454, 585, 713, 7778, 269, 594, 993, 4867, 19801, 538, 606, 30551, 9828, 1576, 547, 11886, 513, 10421, 538, 519, 9457, 779, 5358, 538, 8535, 543, 654, 11208, 269, 901, 729, 15760, 674, 2752, 519, 1655, 7778, 594, 4076, 2938, 865, 2484, 543, 2731, 23498, 930, 1919, 909, 585, 803, 780, 296, 1223, 2731, 946, 513, 1434, 20131, 547, 1118, 621, 998, 713, 1362, 256, 772, 21203, 692, 309, 1564, 515, 571, 9652, 692, 11847, 569, 692, 6321, 667, 20632, 692, 306, 597, 267, 596, 616, 26460, 547, 713, 5108, 269, 8627, 594, 798, 5873, 1004, 1404, 713, 855, 1775, 2760, 6785, 602, 922, 713, 6281, 2531, 514, 1218, 596, 1175, 6026, 721, 23511, 1411, 6026, 721, 607, 952, 649, 941, 1318, 538, 519, 1362, 269, 1411, 1118, 782, 707, 7778, 2653, 585, 721, 267, 543, 1775, 2731, 5660, 707, 4674, 27205, 269, 2696, 12196, 596, 27205, 269, 667, 20632, 689, 13280, 692, 11847, 569, 692, 6872, 667, 7056, 7637, 692, 306, 597, 267, 596, 616, 26460, 547, 713, 5108, 269, 8627, 594, 798, 5873, 1004, 1404, 713, 855, 1775, 2760, 6785, 602, 922, 713, 6281, 2531, 514, 1218, 596, 1175, 6026, 721, 23511, 1411, 6026, 721, 607, 952, 649, 941, 1318, 538, 519, 1362, 269, 1411, 1118, 782, 707, 7778, 2653, 585, 721, 267, 543, 1775, 2731, 5660, 707, 4674, 27205, 269, 2696, 12196, 596, 27205, 269, 667, 7056, 7637, 689, 13280, 692, 11847, 569, 692, 6812, 667, 8775, 4200, 692, 17098, 808, 1069, 12578, 267, 594, 723, 1945, 547, 1039, 269, 2913, 779, 2161, 594, 6557, 2324, 538, 717, 321, 5634, 269, 594, 10355, 4766, 4376, 1210, 5857, 1186, 865, 32696, 803, 585, 513, 2034, 593, 602, 269, 1924, 1934, 594, 993, 538, 717, 321, 5634, 267, 3257, 1250, 3364, 267, 543, 540, 1576, 602, 779, 519, 19274, 540, 589, 269, 1924, 594, 4076, 3927, 512, 4577, 1242, 519, 19274, 543, 3388, 568, 12082, 538, 602, 717, 321, 5634, 269, 634, 942, 2501, 585, 513, 669, 11501, 1287, 513, 2490, 19925, 865, 594, 946, 519, 966, 540, 519, 19274, 267, 799, 568, 667, 321, 278, 269, 901, 2306, 519, 1274, 1616, 519, 717, 321, 5634, 547, 8207, 1919, 269, 6423, 586, 320, 267, 7064, 585, 20171, 593, 713, 1888, 780, 11847, 569, 692, 6795, 1546, 4011, 1695, 692, 27345, 5508, 20231, 5990, 25723, 7034, 3951, 2464, 594, 700, 8780, 2894, 3633, 9215, 9474, 27345, 24199, 570, 8008, 2975, 9358, 11965, 654, 3008, 5990, 661, 3008, 296, 12239, 9215, 6167, 29308, 4306, 13263, 269, 8946, 3198, 298, 9358, 918, 2562, 13036, 312, 780, 11847, 569, 692, 2568, 1284, 7719, 597, 692, 18661, 12196, 596, 2439, 11847, 569, 692, 346, 476, 272, 3950, 3724, 7684, 692, 28095, 2022, 1384, 9202, 2022, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27063, 281, 476, 272, 692, 20132, 19560, 476, 274, 1496, 272, 316, 2073, 2016, 281, 476, 273, 692, 2162, 8058, 16193, 692, 4029, 4239, 476, 1001, 271, 267, 476, 1321, 281, 4649, 454, 272, 454, 298, 11070, 5308, 454, 1729, 4194, 713, 6446, 267, 579, 1590, 991, 519, 9386, 540, 519, 1776, 1899, 1862, 585, 1383, 952, 891, 476, 273, 3515, 616, 13902, 610, 693, 606, 5086, 267, 2161, 476, 1789, 4110, 907, 1287, 1152, 579, 3513, 581, 2111, 547, 1265, 519, 3830, 540, 519, 2034, 1899, 780, 810, 267, 952, 621, 513, 26712, 2243, 267, 707, 20735, 521, 644, 581, 661, 1312, 519, 3948, 1927, 678, 711, 6190, 692, 2252, 579, 899, 519, 2022, 267, 5225, 2015, 918, 11070, 5308, 907, 8729, 692, 10972, 696, 747, 1321, 5206, 912, 17098, 782, 10484, 27745, 596, 5225, 2491, 875, 649, 666, 4194, 519, 2630, 2243, 563, 2252, 1079, 3515, 616, 12969, 532, 693, 1448, 630, 1015, 267, 2767, 264, 543, 3830, 540, 835, 1899, 568, 586, 284, 274, 343, 268, 274, 454, 1432, 568, 519, 3830, 540, 1776, 1899, 563, 12421, 454, 1805, 9850, 281, 7351, 9906, 454, 16274, 281, 476, 1626, 2904, 476, 1001, 271, 454, 15803, 281, 476, 4510, 454, 18662, 338, 281, 667, 31678, 1412, 1724, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 280, 1496, 272, 316, 2073, 2016, 281, 476, 275, 692, 2162, 8058, 16193, 692, 6187, 8734, 476, 1001, 271, 267, 476, 866, 281, 4649, 454, 272, 454, 298, 11070, 5308, 454, 32513, 13124, 15813, 269, 594, 1589, 707, 11282, 9511, 15059, 568, 1732, 982, 631, 29479, 543, 11518, 590, 871, 2006, 781, 11192, 17918, 4569, 269, 901, 2022, 5280, 803, 513, 9522, 269, 11289, 596, 563, 3725, 281, 4569, 281, 3213, 15453, 16387, 5231, 1496, 258, 21529, 316, 476, 6187, 8734, 476, 1001, 271, 267, 476, 866, 281, 4649, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1741, 1109, 274, 1741, 1109, 275, 1109, 5231, 8921, 476, 1109, 314, 476, 10602, 9708, 476, 6540, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 10870, 15453, 16387, 268, 476, 272, 476, 2190, 3057, 476, 1001, 277, 267, 476, 6734, 281, 1428, 454, 273, 3213, 15453, 9511, 476, 271, 476, 6349, 9484, 476, 1001, 272, 267, 476, 1015, 281, 1789, 454, 10870, 15453, 16387, 476, 273, 476, 6734, 9947, 476, 1001, 272, 267, 476, 6021, 281, 2537, 454, 10870, 15453, 16387, 910, 28924, 16086, 476, 271, 476, 1789, 4455, 476, 1001, 271, 267, 476, 1556, 281, 1789, 454, 272, 3213, 15453, 16387, 4063, 476, 271, 476, 2420, 4455, 476, 1001, 271, 267, 476, 1691, 281, 4097, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 303, 9331, 5183, 910, 15382, 11286, 19845, 27073, 5058, 692, 18298, 492, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 11774, 362, 484, 18298, 504, 18298, 379, 18298, 364, 18298, 379, 18298, 363, 18298, 364, 28159, 491, 18298, 499, 18298, 367, 28159, 479, 18298, 509, 18298, 358, 28159, 491, 476, 272, 268, 18298, 484, 18298, 358, 28159, 491, 268, 272, 11774, 362, 484, 18298, 366, 28159, 489, 18298, 504, 18298, 358, 28159, 486, 11774, 362, 357, 28159, 485, 18298, 364, 18298, 353, 28159, 491, 18298, 353, 28159, 486, 18298, 359, 28159, 491, 11774, 362, 359, 28159, 484, 18298, 365, 28159, 479, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 269, 11774, 362, 509, 18298, 378, 18298, 359, 28159, 491, 18298, 359, 18298, 364, 28159, 491, 11774, 362, 484, 18298, 369, 18298, 353, 18298, 365, 28159, 491, 18298, 499, 28159, 479, 11774, 362, 357, 18298, 378, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 11774, 362, 359, 18298, 363, 18298, 379, 18298, 365, 28159, 491, 18298, 504, 18298, 379, 11774, 362, 483, 18298, 367, 18298, 379, 18298, 359, 28159, 491, 18298, 359, 28159, 489, 18298, 362, 28159, 491, 692, 9349, 5131, 5915, 334, 454, 309, 514, 599, 1109, 6665, 1243, 519, 7404, 2344, 267, 543, 646, 4767, 602, 1109, 1492, 5613, 543, 5388, 1109, 26200, 6854, 538, 513, 8799, 267, 15116, 6073, 269, 1261, 8068, 519, 1808, 4806, 538, 519, 1259, 519, 5613, 616, 11231, 269, 634, 1297, 540, 5613, 538, 1142, 4737, 4679, 676, 3230, 272, 2330, 1109, 520, 513, 942, 780, 8253, 1152, 538, 519, 2344, 267, 855, 649, 666, 849, 7747, 519, 1808, 4806, 610, 5311, 693, 1082, 4025, 563, 7078, 912, 7883, 543, 3643, 707, 25047, 13826, 269, 1703, 596, 666, 1294, 1142, 25047, 616, 9738, 693, 513, 1808, 4463, 269, 4935, 621, 568, 1500, 676, 1739, 513, 1978, 5311, 780, 763, 9696, 666, 581, 1336, 538, 6128, 607, 1134, 269, 16319, 4277, 267, 1318, 2496, 4131, 721, 1413, 693, 519, 1305, 540, 519, 1297, 609, 1978, 3270, 780, 276, 267, 476, 279, 267, 476, 1556, 267, 476, 1691, 267, 476, 1704, 267, 476, 736, 1862, 2507, 692, 10376, 2165, 538, 519, 1657, 1305, 540, 2338, 568, 2799, 676, 476, 274, 269, 1924, 519, 2016, 1109, 3553, 540, 2338, 616, 11179, 2799, 676, 476, 274, 780, 4322, 2338, 4866, 547, 513, 7121, 1572, 968, 306, 3225, 1878, 9731, 288, 1483, 29705, 4240, 5311, 568, 513, 1599, 3989, 593, 519, 1305, 540, 2067, 2338, 543, 2921, 1483, 2418, 563, 10376, 3693, 538, 519, 5311, 568, 1572, 513, 2165, 540, 519, 5311, 269, 634, 3693, 538, 519, 1101, 2990, 568, 1572, 519, 1101, 2165, 540, 519, 5311, 269, 634, 3693, 538, 519, 2034, 2990, 568, 1572, 519, 2034, 2165, 540, 519, 5311, 543, 865, 593, 563, 763, 2489, 2165, 540, 519, 5311, 912, 2252, 519, 3230, 333, 317, 339, 2330, 2330, 317, 327, 2330, 2165, 568, 20922, 676, 3230, 320, 5332, 18079, 1287, 3230, 320, 318, 272, 2330, 568, 519, 1101, 2165, 267, 3230, 320, 318, 273, 2330, 568, 519, 2034, 2165, 267, 543, 865, 593, 269, 589, 5311, 666, 581, 2854, 607, 3230, 320, 318, 272, 18079, 3230, 320, 318, 273, 18079, 3230, 320, 318, 274, 18079, 3230, 320, 318, 275, 29634, 4131, 781, 1294, 1896, 1806, 547, 1174, 621, 1732, 563, 7078, 912, 272, 269, 3230, 273, 18079, 3230, 275, 18079, 3230, 277, 18079, 3230, 279, 2330, 1862, 568, 513, 5311, 609, 519, 2489, 2165, 3230, 320, 5332, 815, 476, 273, 333, 21974, 1879, 649, 2322, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 1862, 18079, 649, 1205, 3230, 320, 318, 272, 815, 476, 273, 18079, 3230, 320, 318, 273, 815, 476, 275, 18079, 3230, 320, 318, 274, 815, 476, 277, 18079, 3230, 320, 318, 275, 815, 476, 279, 18079, 2560, 692, 273, 269, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 3267, 568, 513, 5311, 609, 519, 2489, 2165, 3230, 320, 5332, 815, 476, 273, 333, 6567, 476, 272, 21974, 1879, 649, 2322, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 2807, 18079, 649, 1205, 3230, 320, 318, 272, 815, 476, 272, 18079, 3230, 320, 318, 273, 815, 476, 274, 18079, 3230, 320, 318, 274, 815, 476, 276, 18079, 3230, 320, 318, 275, 815, 476, 278, 18079, 2560, 692, 274, 269, 4399, 2765, 346, 272, 2410, 274, 9574, 315, 2765, 346, 272, 2410, 276, 9574, 315, 2765, 346, 272, 2410, 278, 9574, 315, 2765, 346, 272, 2410, 280, 20954, 3267, 568, 513, 5311, 609, 2489, 2165, 4399, 2765, 346, 272, 2410, 273, 333, 266, 272, 23201, 1879, 649, 12990, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 267, 3267, 18079, 649, 1205, 3230, 320, 318, 272, 815, 1422, 2765, 346, 272, 2410, 274, 6525, 267, 3230, 320, 318, 273, 815, 1422, 2765, 346, 272, 2410, 276, 6525, 269, 3230, 320, 318, 274, 815, 1422, 2765, 346, 272, 2410, 278, 6525, 267, 3230, 320, 318, 275, 815, 1422, 2765, 346, 272, 2410, 280, 6525, 27250, 293, 9548, 5311, 912, 2691, 519, 1297, 540, 2609, 538, 513, 5311, 568, 13113, 267, 621, 568, 1634, 607, 513, 13113, 5311, 563, 7078, 912, 272, 269, 3230, 275, 18079, 3230, 278, 18079, 3230, 1015, 18079, 3267, 3230, 2420, 29634, 273, 269, 4399, 2765, 346, 272, 2410, 273, 9574, 315, 2765, 346, 273, 2410, 274, 9574, 315, 2765, 346, 274, 2410, 275, 9574, 315, 2765, 346, 275, 2410, 276, 9574, 1862, 315, 28783, 3189, 22364, 346, 271, 269, 15704, 655, 2410, 271, 1410, 3686, 12101, 2765, 346, 6078, 2410, 2412, 21456, 14813, 9548, 5311, 912, 2252, 519, 1297, 540, 2609, 538, 513, 5311, 568, 12808, 267, 621, 568, 1572, 606, 1109, 8882, 9548, 5311, 563, 7078, 912, 272, 269, 3230, 273, 18079, 3230, 277, 18079, 3230, 1015, 18079, 27250, 273, 269, 4399, 2765, 346, 272, 2410, 1015, 9574, 315, 2765, 346, 272, 2410, 736, 9574, 315, 2765, 346, 272, 2410, 1789, 9574, 315, 2765, 346, 272, 2410, 2412, 9574, 14204, 27270, 912, 15862, 676, 8834, 670, 689, 623, 1460, 629, 599, 0, 22706, 476, 276, 779, 21602, 476, 275, 11498, 2875, 1620, 540, 6824, 4238, 547, 8691, 543, 6498, 540, 1312, 8454, 543, 8918, 8454, 269, 4518, 23131, 689, 7664, 540, 1899, 13602, 799, 1331, 27847, 7403, 547, 16208, 8454, 607, 6498, 543, 7744, 827, 4466, 8454, 540, 5036, 998, 6824, 676, 2898, 780, 292, 675, 6390, 21602, 476, 276, 269, 18224, 532, 782, 3211, 1644, 547, 910, 25876, 6390, 21602, 476, 276, 269, 6096, 616, 17039, 3391, 547, 7598, 552, 675, 6390, 2979, 3446, 476, 276, 267, 25876, 6390, 2979, 6780, 25961, 476, 1001, 26392, 1626, 3446, 476, 276, 267, 25876, 6390, 2979, 9074, 476, 276, 7194, 543, 5506, 267, 6103, 476, 276, 2200, 585, 3384, 3446, 1377, 2770, 4293, 267, 6103, 476, 276, 9074, 476, 272, 267, 7689, 476, 276, 519, 4642, 1587, 3959, 267, 25876, 6390, 2979, 6780, 25961, 476, 1001, 26392, 1626, 3446, 476, 273, 780, 22706, 476, 272, 21602, 476, 275, 281, 9255, 10025, 267, 18948, 267, 18827, 543, 25513, 547, 476, 2412, 269, 21602, 476, 275, 13976, 2390, 21602, 476, 273, 779, 960, 609, 1747, 1871, 1369, 476, 736, 267, 1631, 2519, 593, 519, 1909, 540, 1747, 1871, 538, 519, 1840, 543, 12408, 540, 2338, 547, 476, 2412, 780, 16665, 547, 552, 675, 6390, 2979, 3446, 476, 276, 9074, 476, 272, 3992, 476, 278, 2626, 1883, 267, 21912, 514, 2488, 513, 7347, 4183, 547, 1450, 2043, 609, 1870, 16490, 28780, 547, 5639, 891, 2152, 936, 513, 1857, 28379, 585, 4966, 547, 2626, 269, 901, 28379, 568, 1572, 21912, 514, 6114, 267, 543, 621, 1223, 7654, 581, 519, 19044, 547, 4259, 909, 707, 10639, 607, 606, 4274, 1369, 519, 780, 2080, 596, 786, 1265, 6402, 547, 519, 25876, 6390, 4569, 9046, 30498, 602, 1053, 5249, 693, 1153, 267, 519, 14581, 602, 5205, 602, 7689, 267, 543, 7044, 540, 519, 6780, 1373, 6045, 269, 589, 1906, 3688, 538, 519, 14581, 27678, 949, 4268, 5594, 1813, 547, 519, 1249, 602, 938, 1053, 616, 1210, 5063, 8242, 2326, 269, 634, 2035, 616, 519, 1482, 269, 476, 276, 628, 6103, 4569, 910, 21602, 476, 274, 269, 9977, 5240, 12072, 269, 22227, 11196, 272, 264, 12989, 267, 596, 780, 763, 7689, 12697, 543, 6096, 616, 5258, 883, 3670, 13838, 269, 6103, 476, 276, 14581, 267, 7689, 12697, 267, 543, 6096, 269, 11762, 543, 20505, 630, 9556, 2544, 476, 272, 264, 589, 269, 11638, 2364, 894, 18963, 593, 519, 9255, 10025, 15873, 269, 9208, 281, 476, 276, 12991, 6630, 269, 272, 267, 476, 276, 12991, 6630, 269, 273, 267, 476, 276, 8160, 291, 269, 272, 269, 21602, 476, 272, 11137, 269, 13445, 589, 11137, 269, 7689, 476, 272, 281, 17217, 6405, 569, 543, 3182, 3645, 569, 1210, 1747, 1871, 1620, 780, 2467, 616, 849, 2385, 3377, 24393, 689, 1776, 8664, 1210, 519, 1482, 6437, 602, 949, 948, 2491, 519, 2979, 2326, 2417, 269, 1703, 949, 581, 7044, 610, 7044, 3773, 2663, 547, 891, 2200, 547, 948, 2491, 519, 6780, 4245, 269, 634, 824, 6402, 896, 519, 13838, 666, 948, 596, 2259, 1082, 540, 519, 1919, 596, 4121, 538, 707, 11359, 3446, 1362, 780, 1012, 25876, 6390, 4569, 6103, 476, 272, 6096, 910, 7689, 6096, 780, 292, 675, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 272, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 273, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 274, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 275, 780, 292, 675, 6390, 4569, 6103, 476, 276, 21602, 476, 272, 7689, 476, 278, 8382, 6206, 13565, 547, 552 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 2632, 9418, 568, 20803, 513, 595, 20110, 974, 17393, 9539, 324, 580, 525, 6288, 1310, 9410, 13162, 3751, 12789, 563, 298, 550, 5244, 786, 581, 26948, 9410, 13162, 3751, 5244, 1310, 519, 1977, 3540, 2924, 6205, 945, 729, 18272, 3990, 538, 476, 3422, 279, 267, 2687, 547, 513, 6571, 519, 2749, 779, 10324, 12233, 568, 4397, 547, 29343, 13723, 563, 339, 777, 1934, 547, 1294, 824, 7044, 689, 938, 2319, 563, 9802, 528, 4406, 2946, 4471, 7233, 324, 26916, 3751, 779, 968, 4186, 9084, 547, 519, 13287, 540, 606, 552, 6549, 9107, 2486, 602, 568, 1863, 540, 7292, 7130, 1759, 593, 5198, 3034, 21914, 729, 968, 514, 11584, 11365, 538, 30176, 3540, 2924, 543, 519, 7862, 540, 3109, 1004, 543, 538, 28530, 7292, 7130, 538, 519, 2136, 2276, 2223, 1352, 3773, 269, 968, 14367, 960, 814, 1185, 2101, 29854, 585, 519, 20237, 540, 12102, 2924, 711, 1152, 538, 519, 772, 2529, 1421, 855, 849, 538, 4516, 543, 1472, 519, 1158, 3034, 30949, 5646, 322, 650, 528, 7395, 6767, 15352, 534, 340, 267, 945, 4564, 519, 1858, 602, 13315, 519, 6288, 267, 7074, 27292, 814, 513, 1804, 3109, 2551, 563, 2108, 2026, 971, 267, 621, 568, 1898, 547, 22632, 519, 9295, 540, 713, 1390, 812, 547, 938, 2146, 2223, 1767, 15352, 534, 340, 267, 945, 568, 3743, 585, 4763, 2152, 593, 27292, 779, 10324, 12233, 269, 0, 347, 13043, 1475, 769, 519, 2063, 1079, 4374, 267, 649, 19927, 519, 2185, 1034, 2596, 4238, 543, 9981, 1210, 1297, 1899, 1547, 2171, 13736, 1906, 2055, 1759, 593, 873, 267, 1500, 1650, 2042, 538, 8424, 543, 12193, 873, 676, 1210, 1297, 3515, 269, 5015, 267, 649, 3323, 609, 513, 1007, 1770, 2048, 32622, 267, 3515, 543, 7285, 9957, 11406, 3528, 281, 2672, 9366, 534, 15011, 534, 2871, 24473, 454, 347, 23458, 543, 24145, 1155, 1475, 3683, 519, 2250, 1079, 4374, 649, 9916, 519, 30732, 7410, 1500, 676, 721, 269, 1284, 5059, 593, 519, 2934, 540, 30732, 2280, 8888, 543, 875, 30732, 7410, 6655, 1344, 593, 513, 1880, 1641, 547, 519, 3988, 269, 1284, 10630, 593, 519, 1620, 540, 17720, 6906, 630, 14588, 6033, 267, 5304, 543, 3483, 264, 547, 1711, 513, 30732, 2280, 269, 1284, 849, 27416, 938, 8239, 2035, 971, 607, 2694, 540, 4633, 543, 1641, 268, 14620, 6876, 269, 11406, 3528, 281, 2672, 9366, 534, 15011, 534, 2871, 24473, 454, 347, 31714, 1299, 5081, 7724, 1475, 769, 519, 2250, 1079, 4374, 267, 649, 4843, 938, 1620, 540, 519, 2189, 2934, 540, 519, 6149, 2085, 998, 8642, 25696, 269, 1284, 19927, 827, 519, 4496, 2085, 1932, 269, 1284, 14478, 7044, 543, 10630, 593, 873, 547, 917, 827, 6561, 543, 922, 2956, 269, 2171, 849, 5941, 519, 4539, 540, 9561, 938, 1378, 6561, 269, 11406, 3528, 281, 681, 880, 629, 327, 594, 9807, 918, 5255, 9618, 454, 16085, 7220, 1475, 10334, 14727, 13511, 1284, 941, 5189, 547, 513, 1007, 1770, 1031, 585, 7893, 6263, 3615, 1775, 4318, 30562, 2678, 269, 1284, 19927, 875, 547, 5173, 3172, 2305, 540, 18784, 3615, 269, 1284, 13986, 513, 1906, 2042, 547, 1451, 547, 5173, 3172, 2305, 269, 13536, 538, 519, 3018, 649, 7902, 585, 938, 24233, 4879, 1635, 281, 1520, 527, 686, 26981, 592, 11406, 30125, 281, 3683, 519, 2250, 1079, 4374, 267, 649, 1705, 606, 2534, 593, 2978, 3106, 547, 1174, 519, 1585, 3106, 3800, 602, 1058, 581, 4553, 538, 519, 2978, 1547, 1284, 849, 19927, 519, 1101, 5351, 3800, 547, 581, 17298, 538, 2013, 540, 606, 6595, 269, 1284, 8737, 938, 1770, 609, 606, 2534, 13296, 649, 5941, 519, 2956, 540, 6111, 543, 8856, 538, 6482, 563, 3528, 281, 13225, 12320, 753, 327, 4210, 18081, 454, 19064, 6055, 5071, 1475, 901, 3018, 267, 649, 5249, 593, 513, 2458, 720, 593, 3327, 11640, 269, 1284, 21503, 519, 1888, 676, 1210, 930, 13057, 2055, 2016, 547, 721, 269, 1284, 849, 6394, 5961, 689, 2025, 14786, 543, 17476, 269, 1284, 8246, 1152, 835, 268, 2427, 1031, 1957, 547, 581, 538, 19820, 609, 519, 1888, 2048, 21666, 11640, 685, 543, 6249, 2048, 338, 7739, 1464, 9957, 11406, 3528, 281, 24910, 15608, 17754, 454, 300, 24688, 476, 272, 595, 454, 347, 19445, 5071, 1475, 769, 519, 2250, 4374, 267, 649, 4797, 609, 938, 6881, 540, 519, 3105, 1770, 2073, 13708, 2305, 540, 1565, 269, 1284, 849, 21845, 519, 4540, 1587, 543, 21503, 593, 519, 1888, 269, 5015, 267, 649, 24298, 519, 1374, 7291, 585, 938, 1587, 1547, 11406, 3528, 281, 24910, 15608, 13051, 454, 347, 23458, 21733, 9974, 1475, 3943, 281, 5475, 938, 24233, 4879, 540, 519, 1699, 1770, 267, 649, 15428, 519, 21371, 1031, 585, 10503, 938, 3237, 269, 1284, 14478, 7044, 543, 1705, 5578, 20671, 2238, 269, 1284, 10268, 938, 1620, 540, 1585, 21371, 676, 10503, 938, 2828, 269, 1284, 941, 849, 5189, 547, 513, 1007, 8239, 1888, 267, 2048, 3849, 11187, 25334, 612, 633, 9957, 11406, 3528, 281, 2983, 564, 20144, 3233, 807, 454, 295, 785, 328, 281, 2171, 1185, 13736, 513, 6648, 676, 13056, 714, 13259, 24703, 13056, 714, 585, 19446, 4144, 13195, 2773, 269, 1284, 849, 5941, 519, 6648, 538, 6935, 547, 938, 1770, 2048, 3240, 2123, 1158, 1406, 334, 1445, 593, 519, 5191, 540, 4082, 269, 1284, 849, 5941, 519, 1909, 540, 1920, 538, 5935, 938, 3961, 543, 7209, 563, 28049, 281, 7628, 519, 2250, 1079, 4374, 649, 19927, 519, 4082, 540, 519, 8231, 968, 652, 541, 892, 547, 1865, 3540, 4567, 540, 513, 1268, 538, 5053, 269, 1284, 14478, 519, 6881, 538, 799, 513, 1268, 6257, 1010, 1920, 2818, 269, 1284, 849, 19927, 519, 6863, 1644, 547, 2477, 543, 3084, 885, 538, 5053, 563, 3528, 281, 5345, 320, 19759, 327, 342, 8643, 454, 347, 24058, 3203, 1475, 769, 519, 2063, 1079, 4374, 649, 19927, 513, 1007, 1148, 1106, 1572, 2048, 3412, 16054, 1143, 685, 543, 4767, 930, 23877, 540, 519, 1482, 547, 1020, 513, 1732, 1620, 269, 1284, 7902, 585, 513, 24233, 4879, 1759, 593, 21205, 589, 540, 8551, 1775, 4318, 269, 18833, 543, 1620, 269, 13536, 267, 2921, 6667, 689, 4583, 5251, 7376, 779, 960, 267, 649, 2813, 938, 29282, 585, 519, 3803, 5888, 269, 11406, 3528, 2433, 25721, 3233, 341, 2871, 24473, 454, 347, 16498, 543, 2657, 4065, 630, 303, 4047, 10534, 769, 938, 1770, 2048, 325, 5893, 998, 5026, 8730, 649, 5941, 519, 2640, 540, 10649, 543, 13736, 968, 306, 1722, 320, 21601, 2532, 541, 6100, 1284, 849, 5129, 3983, 332, 15586, 543, 3349, 17281, 13292, 269, 11406, 3528, 281, 570, 2313, 7534, 18491, 25659, 454, 25238, 766, 1475, 1284, 1705, 606, 7664, 2534, 1759, 593, 7044, 269, 1284, 6956, 875, 18810, 1858, 2707, 607, 1134, 607, 606, 6667, 547, 1118, 5322, 269, 1284, 14478, 519, 3381, 6029, 13946, 10367, 540, 13225, 12494, 564, 6390, 23572, 621, 1500, 721, 1174, 602, 13946, 10367, 616, 513, 2707, 585, 2984, 543, 5322, 269, 1284, 849, 19927, 875, 8106, 29478, 7960, 609, 942, 543, 1185, 5634, 2242, 609, 1689, 538, 6197, 543, 2324, 3270, 269, 1923, 0, 278, 1428, 31816, 275, 4817, 31256, 568, 606, 1256, 12432, 1297, 269, 898, 568, 7768, 540, 1614, 3982, 6305, 2338, 16611, 1927, 269, 898, 814, 513, 2698, 540, 8938, 5498, 1597, 16975, 563, 28269, 26458, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 912, 2420, 6398, 476, 5325, 280, 273, 6398, 476, 6434, 274, 273, 263, 273, 6398, 476, 273, 6398, 476, 5325, 280, 6398, 476, 5325, 280, 6398, 476, 6434, 274, 6398, 476, 6434, 274, 994, 8450, 2630, 585, 4277, 6310, 5013, 827, 519, 1297, 476, 278, 1428, 31816, 275, 4817, 31256, 689, 519, 7089, 3901, 923, 6538, 563, 301, 1868, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 9315, 1400, 281, 476, 278, 1428, 31816, 275, 4817, 31256, 666, 581, 2854, 607, 18599, 4627, 19939, 5479, 267, 2947, 4627, 29235, 2929, 267, 2185, 4627, 562, 27197, 19317, 8536, 267, 1614, 4627, 562, 27197, 29350, 563, 268, 11660, 10035, 281, 476, 278, 269, 14028, 3583, 275, 4817, 274, 9834, 6398, 476, 6200, 272, 454, 26502, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 19667, 30583, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 289, 1162, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 23030, 281, 476, 6200, 9826, 6200, 9826, 6200, 6200, 18089, 18733, 9826, 9340, 9340, 18089, 18089, 6349, 454, 268, 1261, 343, 1228, 31565, 281, 476, 271, 343, 288, 7597, 289, 276, 3451, 11902, 275, 454, 268, 12476, 268, 3607, 281, 476, 11463, 304, 9262, 274, 311, 294, 454, 306, 638, 4100, 543, 5072, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 476, 278, 1428, 31816, 275, 4817, 31256, 16302, 630, 278, 1428, 31816, 275, 4817, 31256, 273, 264, 568, 476, 24423, 271, 6078, 15836, 6434, 272, 28510, 5952, 278, 3422, 279, 1626, 454, 268, 476, 278, 1428, 31816, 275, 4817, 31256, 7750, 539, 630, 278, 1428, 31816, 275, 4817, 31256, 274, 264, 568, 476, 3607, 277, 25002, 276, 2767, 279, 4097, 4649, 275, 279, 2412, 4817, 274, 28307, 6872, 273, 4200, 274, 5952, 280, 15793, 454, 278, 1428, 31816, 275, 4817, 31256, 568, 513, 454, 704, 2739, 4009, 1297, 269, 4706, 4009, 3597, 529, 476, 279, 3393, 280, 1691, 454, 322, 4209, 3597, 1993, 476, 278, 1428, 31816, 275, 4817, 31256, 568, 476, 8660, 275, 275, 269, 4375, 272, 5780, 280, 18891, 276, 454, 9928, 2297, 543, 16198, 1692, 2462, 568, 476, 278, 1428, 31816, 275, 4817, 31256, 888, 268, 476, 278, 1428, 267, 31816, 267, 275, 4817, 267, 31256, 7643, 568, 3160, 547, 476, 2420, 267, 4037, 273, 1296, 267, 476, 4366, 4374, 267, 476, 272, 1554, 267, 476, 2420, 3108, 267, 476, 274, 3764, 267, 476, 1626, 7643, 563, 2414, 1293, 689, 476, 272, 547, 476, 278, 1428, 267, 31816, 267, 275, 4817, 267, 31256, 1131, 1491, 596, 827, 17288, 19317, 8536, 267, 2947, 4627, 2947, 1296, 2336, 1607, 568, 513, 1360, 11315, 7447, 267, 1759, 593, 513, 6340, 2557, 540, 3368, 513, 2034, 1169, 3791, 1931, 540, 9588, 269, 1403, 596, 3717, 3533, 267, 596, 1223, 4440, 2161, 1022, 14477, 7302, 4923, 1297, 1063, 835, 543, 513, 8536, 538, 1472, 3368, 513, 2034, 269, 15020, 2462, 2338, 15069, 1491, 3476, 547, 2161, 267, 865, 649, 1039, 3368, 513, 2034, 585, 1169, 3063, 1535, 1911, 271, 269, 630, 2171, 798, 711, 1293, 32246, 533, 13415, 267, 19880, 9397, 610, 519, 13766, 540, 3207, 538, 938, 9819, 26695, 268, 589, 13306, 609, 513, 4320, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 12945, 6279, 1131, 581, 1472, 476, 278, 3393, 269, 275, 3952, 7381, 563, 3725, 920, 1049, 13004, 609, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 29791, 547, 713, 2985, 454, 12487, 7876, 281, 1677, 3095, 547, 713, 2985, 267, 1175, 5299, 543, 13594, 519, 3095, 2630, 883, 707, 5816, 267, 1357, 2985, 610, 4757, 563, 17668, 4596, 14701, 281, 1677, 3095, 547, 713, 2985, 538, 513, 8468, 2022, 610, 6085, 4216, 267, 1175, 5299, 543, 13594, 519, 3095, 3009, 2630, 912, 29241, 713, 2985, 454, 257, 10831, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 2668, 7089, 3901, 923, 2593, 269, 476, 1708, 271, 269, 5680, 269, 476, 275, 4989, 476, 1708, 271, 563, 10831, 3901, 923, 269, 630, 1708, 271, 1040, 7089, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 269, 8158, 476, 275, 4989, 476, 1708, 271, 267, 689, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 278, 1428, 31816, 275, 4817, 31256, 13045, 10831, 3901, 923, 269, 476, 1708, 271, 269, 834, 10831, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 2668, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 278, 1428, 31816, 275, 4817, 31256, 13045, 763, 1344, 649, 723, 593, 3758, 585, 476, 278, 1428, 31816, 275, 4817, 31256, 2882, 6310, 1239, 543, 10230, 7194, 7229, 1210, 3044, 6620, 543, 2409, 269, 1284, 616, 4946, 811, 782, 519, 942, 269, 1403, 972, 616, 1022, 2934, 596, 1131, 899, 547, 1294, 267, 5225, 3346, 721, 269, 6176, 3177, 585, 3872, 946, 267, 7214, 7279, 543, 1187, 2336, 21292, 281, 6555, 30583, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 2979, 267, 11790, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 6437, 267, 1153, 267, 2852, 267, 11400, 267, 6280, 267, 11788, 26458, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 13241, 267, 2257, 267, 2029, 267, 4702, 267, 6323, 267, 9297, 267, 9498, 267, 5722, 4627, 19939, 5479 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 519, 824, 1915, 12264, 2413, 2070, 540, 15683, 269, 2060, 607, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 2451, 519, 4055, 269, 968, 14549, 640, 3294, 2223, 2687, 547, 23006, 267, 968, 529, 513, 15683, 1848, 23006, 23216, 609, 519, 2413, 1098, 16058, 1235, 602, 649, 616, 3768, 793, 1881, 538, 810, 30138, 607, 649, 616, 5462, 676, 2470, 267, 676, 938, 20032, 269, 769, 1010, 17976, 593, 15979, 630, 10082, 280, 1070, 23006, 1767, 281, 11096, 9372, 543, 2802, 545, 626, 1955, 28609, 23006, 729, 9565, 538, 1010, 11984, 1063, 3902, 543, 15683, 269, 5369, 9332, 28748, 1058, 2061, 11980, 267, 711, 21559, 621, 910, 8176, 19811, 267, 14265, 343, 630, 1001, 279, 1040, 23006, 779, 1034, 4583, 19862, 540, 15683, 568, 602, 1480, 15683, 568, 513, 4567, 799, 4025, 519, 1272, 540, 1480, 7919, 1657, 782, 269, 32068, 2802, 545, 626, 3081, 552, 30984, 814, 1831, 1412, 338, 659, 1537, 1242, 262, 910, 8176, 19811, 267, 14265, 343, 630, 1001, 279, 1040, 10886, 267, 19539, 267, 15421, 267, 3092, 269, 607, 1797, 547, 606, 1439, 269, 667, 793, 640, 607, 513, 5837, 1523, 12462, 684, 1392, 531, 15683, 5608, 2687, 547, 594, 269, 23006, 264, 1915, 3278, 519, 1367, 607, 513, 1268, 281, 519, 15683, 540, 513, 1268, 568, 5462, 711, 676, 1010, 5169, 267, 5763, 267, 2069, 610, 1514, 4567, 267, 855, 676, 1010, 7915, 5191, 607, 606, 1367, 1268, 543, 12504, 269, 898, 4667, 1256, 16970, 518, 952, 513, 1268, 814, 3893, 782, 891, 968, 326, 22284, 892, 689, 2470, 543, 568, 9117, 3983, 267, 4636, 267, 25796, 269, 1955, 28609, 23006, 568, 1419, 2808, 547, 581, 519, 2707, 540, 519, 4207, 2856, 540, 1480, 15683, 267, 855, 1010, 17748, 540, 1480, 15683, 543, 922, 6935, 547, 1480, 1871, 543, 547, 519, 10421, 547, 2463, 1866, 723, 711, 1044, 4922, 6956, 269, 4658, 779, 3527, 1058, 4061, 581, 5340, 2687, 547, 519, 11807, 8471, 4031, 540, 13919, 269, 1546, 4003, 1058, 711, 581, 2808, 1256, 950, 1373, 4294, 585, 4636, 4777, 619, 269, 834, 2420, 4340, 547, 918, 826, 18255, 267, 23006, 7551, 7947, 338, 519, 22632, 12454, 5837, 621, 344, 540, 1312, 519, 28665, 543, 519, 1368, 843, 338, 538, 22733, 10601, 5125, 269, 2537, 13177, 269, 968, 14549, 640, 3294, 2223, 2687, 547, 23006, 267, 968, 529, 513, 15683, 1848, 23006, 23216, 609, 519, 2413, 1098, 16058, 1235, 602, 649, 616, 3768, 793, 1881, 538, 810, 30138, 607, 649, 616, 5462, 676, 2470, 267, 676, 938, 20032, 269, 1325, 553, 267, 1100, 269, 23006, 1014, 7881, 616, 632, 2632, 1670, 267, 2847, 6295, 7357, 1472, 10279, 2864, 982, 4664, 610, 1439, 3853, 269, 5472, 3527, 616, 5340, 538, 13076, 609, 930, 5817, 12366, 610, 6240, 267, 799, 616, 27723, 1114, 689, 1142, 824, 282, 621, 568, 2687, 547, 713, 602, 519, 5837, 4502, 540, 1022, 2962, 568, 24565, 269, 2334, 2470, 568, 10257, 543, 7787, 267, 543, 865, 547, 581, 1863, 568, 547, 957, 585, 4128, 543, 689, 2601, 269, 3571, 2856, 540, 519, 5837, 568, 1360, 6986, 543, 585, 1864, 9117, 585, 519, 19160, 540, 10279, 814, 4986, 547, 798, 609, 6530, 267, 1256, 968, 333, 823, 892, 6530, 899, 6568, 267, 1577, 4805, 4376, 5778, 6776, 267, 610, 519, 30254, 540, 2744, 610, 5413, 269, 634, 2219, 568, 602, 1152, 1863, 267, 10257, 543, 7787, 7919, 1131, 581, 2111, 547, 957, 17033, 585, 519, 19160, 540, 10279, 269, 23006, 13187, 602, 9117, 609, 8103, 6770, 538, 15683, 585, 1480, 7919, 630, 275, 281, 24496, 1040, 23006, 593, 5274, 667, 793, 640, 3091, 519, 2560, 634, 2035, 968, 16451, 892, 543, 968, 516, 32208, 543, 7787, 892, 616, 2352, 267, 543, 1620, 23006, 779, 17748, 540, 968, 16451, 267, 10257, 543, 7787, 7919, 892, 568, 2352, 1932, 269, 1306, 513, 1686, 540, 938, 1459, 6377, 1523, 540, 15683, 267, 519, 2062, 4707, 568, 693, 1655, 513, 1175, 27940, 1650, 269, 23006, 779, 26874, 7869, 1547, 476, 273, 269, 23006, 1419, 13000, 519, 15683, 540, 7606, 607, 513, 2249, 540, 20519, 2864, 982, 4376, 7606, 723, 7488, 540, 20519, 269, 2904, 476, 1001, 273, 3738, 15683, 543, 2463, 623, 4815, 546, 7578, 21001, 526, 7637, 267, 11292, 15683, 2093, 256, 3245, 519, 21654, 945, 12038, 519, 1034, 5693, 827, 1480, 15683, 568, 5043, 958, 1644, 547, 1482, 256, 10163, 540, 23006, 11313, 521, 3527, 1058, 4061, 581, 5340, 2687, 547, 23006, 5837, 4502, 568, 538, 269, 6153, 607, 23006, 4991, 267, 543, 952, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 2638, 14174, 17988, 269, 1261, 6585, 602, 519, 4909, 6240, 3297, 5837, 11645, 540, 1480, 7919, 630, 5827, 540, 938, 1862, 23006, 972, 2115, 547, 581, 513, 3017, 1063, 10279, 543, 31007, 5079, 1004, 723, 585, 2126, 693, 519, 1439, 1272, 1862, 6925, 910, 24380, 2917, 808, 8055, 267, 590, 1584, 23364, 630, 476, 1001, 279, 3738, 602, 1058, 22035, 880, 547, 5963, 9784, 922, 20650, 10910, 25352, 269, 2986, 938, 8723, 2729, 602, 1058, 22035, 880, 5931, 540, 519, 2962, 610, 957, 547, 581, 5293, 1931, 256, 11930, 585, 4636, 4777, 619, 814, 3893, 782, 891, 968, 13344, 9232, 689, 2470, 543, 3976, 1862, 11202, 1811, 540, 6057, 585, 519, 15752, 649, 957, 593, 513, 2582, 3184, 540, 513, 2582, 1018, 568, 15683, 2687, 547, 737, 656, 540, 2582, 1862, 4989, 476, 2420, 267, 476, 15094, 275, 538, 918, 7238, 333, 12127, 6199, 267, 2282, 519, 338, 21750, 13272, 540, 519, 2165, 1480, 15683, 941, 13994, 4327, 2506, 28609, 269, 667, 7578, 21001, 526, 7637, 267, 11292, 15683, 547, 2093, 543, 547, 7919, 267, 24402, 630, 15426, 2334, 723, 547, 581, 513, 7787, 8665, 1797, 593, 23006, 1412, 338, 1034, 5432, 5683, 12591, 267, 543, 1862, 589, 3364, 267, 1510, 2965, 10747, 1018, 621, 1797, 4010, 1063, 10279, 543, 907, 2201, 2463, 543, 15683, 540, 19443, 2669, 910, 1744, 27553, 623, 709, 4206, 2393, 267, 5839, 14211, 1412, 338, 476, 1001, 277, 1862, 2060, 519, 7826, 4659, 540, 589, 582, 792, 10394, 1715, 10215, 630, 570, 5746, 3738, 2460, 540, 938, 8723, 602, 1862, 901, 15683, 2306, 621, 4636, 585, 1866, 547, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 602, 15683, 1862, 910, 19937, 4901, 267, 7467, 540, 4975, 543, 7256, 1857, 8468, 630, 949, 476, 1001, 273, 3738, 19443, 2669, 910, 1744, 27553, 267, 29755, 24049, 610, 21189, 547, 1569, 519, 2407, 1543, 602, 2470, 568, 10257, 543, 7787, 9232, 568, 711, 3730, 256, 14348, 581, 2111, 547, 1294, 519, 2407, 1257, 1543, 568, 827, 607, 1434, 607, 23006, 4991, 543, 1862, 661, 30984, 568, 711, 1659, 2685, 1018, 568, 15683, 2687, 547, 737, 656, 5583, 547, 1265, 519, 2626, 972, 267, 5225, 3346, 707, 7172, 4115, 1318, 547, 15683, 269, 4475, 581, 5340, 2687, 547, 519, 11807, 8471, 4031, 540, 13919, 543, 547, 7919, 2757, 540, 256, 1656, 811, 3730, 10206, 540, 15683, 568, 693, 1655, 513, 1175, 27940, 1650, 15683, 1018, 568, 15683, 2687, 547, 737, 656, 581, 3501, 610, 20541, 4464, 256, 3245, 3257, 519, 1318, 3364, 17033, 1317, 621, 568, 2966, 568, 16180, 1808, 256, 4347, 1441, 689, 519, 21654, 945, 12038, 519, 1034, 5693, 827, 1480, 15683, 729, 1500, 1862, 18983, 24777, 2687, 547, 23006, 267, 595, 1538, 5566, 16122, 630, 16275, 3738, 7919, 568, 513, 4341, 547, 1246, 568, 519, 540, 256, 12653, 1457, 610, 8585, 1097, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 7256, 1862, 2334, 1058, 22035, 880, 519, 3844, 5931, 540, 1018, 568, 15683, 2687, 547, 737, 656, 3844, 5931, 540, 519, 2165, 1480, 15683, 1044, 256, 1656, 547, 7919, 8585, 1097, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 7256, 256, 23006, 13187, 602, 9117, 609, 8103, 6770, 538, 15683, 585, 1004, 676, 1202, 12371, 1018, 568, 15683, 2687, 547, 737, 656, 835, 1866, 269, 23006, 5837, 4502, 568, 5462, 538, 519, 13814, 2501, 827, 998, 552, 30984, 7569, 2463, 543, 15683, 4641, 1862, 5131, 569, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 723, 1880, 2924, 17709, 1862, 5272, 1367, 267, 621, 666, 2479, 581, 21739, 26991, 1655, 267, 5207, 267, 1034, 3407, 3364, 855, 256, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 543, 7256, 1857, 630, 256, 589, 10279, 1759, 593, 513, 632, 2632, 1670, 2802, 545, 1906, 1919, 543, 594, 1589, 602, 519, 6240, 1862, 634, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 676, 1202, 12371, 602, 835, 13000, 1866, 607, 7475, 543, 1797, 256, 5620, 15683, 267, 1317, 649, 616, 6148, 865, 1031, 547, 713, 2856, 607, 513, 5837, 14196, 596, 3313, 1862, 11916, 2259, 538, 4915, 910, 24380, 2917, 808, 8055, 267, 590, 1584, 23364, 630, 476, 1001, 279, 3738, 19443, 2669, 910, 1744, 27553, 11783, 6168, 607, 1434, 607, 23006, 4991, 267, 543, 952, 621, 941, 267, 4487, 538, 835, 11313, 6138, 256, 3629, 2463, 543, 15683, 543, 568, 3976, 3564, 3902, 269, 3184, 540, 513, 968, 1434, 15884, 9232, 968, 269, 22032, 602, 1058, 22035, 880, 17271, 538, 1018, 568, 15683, 2687, 547, 737, 656, 476, 3393, 7972, 538, 519, 595, 1538, 5566, 16122, 16275, 269, 645, 732, 2463, 585, 519, 5837, 1876, 1369, 9232, 5310, 540, 700, 3581, 3425, 723, 15683, 1317, 789, 11313, 7787, 1862, 2311, 891, 543, 519, 1964, 540, 23006, 1412, 338, 12591, 593, 2463, 543, 2648, 1367, 3593, 949, 1820, 856, 7300, 269, 1772, 1946, 585, 23006, 13919, 568, 1336, 538, 519, 1158, 713, 2631, 568, 547, 581, 513, 7787, 1797, 1862, 30667, 540, 1492, 16140, 1740, 875, 1131, 649, 917, 2282, 519, 338, 21750, 13272, 540, 519, 4207, 256, 7736, 267, 711, 21559, 621, 910, 8176, 19811, 267, 14265, 343, 630, 476, 1001, 279, 907, 1306, 20244, 17709, 540, 2463, 543, 15683, 543, 5191, 281, 1955, 28609, 23006, 23006, 11313, 521, 3527, 1058, 4061, 5340, 269, 476, 1015, 269, 11820, 274, 270, 10907, 2889, 325, 281, 522, 810, 270, 7818, 25171, 280, 5780, 18605, 280, 269, 9826, 269, 1822, 272, 267, 11553, 19860, 3633, 689, 10228, 18623, 1222, 6732, 3340, 513, 20478, 616, 2111, 269, 476, 1220, 271, 3738, 2413, 2070, 540, 15683, 267, 519, 22062, 566, 630, 476, 1001, 274, 3738, 581, 538, 1862, 11408, 957, 2687, 547, 23006, 267, 15683, 568, 513, 4387, 267, 7548, 540, 23080, 14306, 4915, 693, 9315, 858, 2160, 543, 4830, 1862, 1677, 2303, 602, 713, 568, 519, 1655, 267, 5207, 267, 1034, 3407, 28011, 3657, 7787, 8069, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 568, 8572, 547, 2491, 875, 267, 952, 568, 1862, 1677, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 5191, 2501, 609, 5837, 5539, 519, 269, 1677, 3494, 2582, 3184, 540, 513, 2582, 3184, 540, 513, 1395, 1748, 538, 744, 12569, 585, 2123, 2807, 7427, 539, 676, 971, 19206, 281, 476, 272, 30464, 9116, 519, 3557, 1412, 338, 9314, 538, 27986, 1133, 9799, 907, 1306, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 2451, 519, 4055, 26637, 1408, 10418, 568, 18005, 609, 256, 2142, 1863, 568, 547, 581, 513, 7787, 8665, 1797, 519, 26637, 1408, 10418, 568, 18005, 28337, 519, 1862, 2060, 8103, 6770, 538, 15683, 585, 1480, 7919, 630, 5827, 540, 2601, 2687, 256, 2060, 602, 540, 824, 15806, 2093, 543, 547, 7919, 24004, 28748, 1058, 2061, 11980, 267, 711, 21559, 621, 910, 8176, 28011, 13242, 547, 713, 2856, 602, 13919, 568, 4052, 2601, 568, 513, 6986, 2339, 540, 1857, 3106, 799, 256, 13898, 4267, 519, 2055, 6679, 713, 1557, 5837, 5539, 585, 519, 11361, 543, 16981, 3425, 8103, 607, 606, 1439, 711, 269, 26812, 3215, 3877, 540, 23006, 11313, 521, 2093, 568, 2463, 543, 15683, 2729, 602, 1058, 22035, 880, 538, 1250, 1995, 540, 2944, 1862, 4460, 2349, 665, 615, 267, 3397, 5886, 10753, 1156, 328, 2806, 10407, 9291, 7335, 910, 4864, 476, 1001, 280, 267, 27950, 30464, 9116, 3557, 269, 1635, 7421, 543, 19286, 908, 5570, 976, 1619, 2093, 827, 13919, 267, 1519, 519, 2093, 540, 513, 968, 1434, 15884, 9232, 968, 1421, 7548, 540, 23080, 14306, 4915, 693, 9315, 858, 2160, 543, 606, 4830, 3444, 17754, 577, 4759, 540, 519, 2165, 1480, 941, 1862, 654, 3994, 585, 1866, 547, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 568, 8037, 23006, 29755, 649, 723, 2907, 2097, 2066, 513, 23319, 607, 547, 1018, 646, 5921, 602, 540, 824, 907, 715, 31415, 1265, 519, 2495, 543, 4641, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1280, 17787, 454, 258, 589, 585, 8520, 568, 1031, 585, 12055, 908, 936, 513, 5311, 630, 7474, 568, 2901, 513, 1592, 267, 513, 24042, 267, 513, 8675, 267, 513, 1305, 267, 610, 513, 5569, 1916, 258, 901, 568, 1447, 899, 519, 585, 20438, 538, 824, 5752, 4654, 267, 543, 1568, 811, 899, 606, 12055, 1807, 1505, 607, 1336, 538, 824, 1843, 11399, 1304, 730, 5752, 4654, 563, 258, 2060, 519, 585, 8520, 649, 666, 14892, 513, 1305, 540, 6898, 267, 2899, 585, 1142, 6221, 538, 513, 1592, 267, 24042, 267, 1305, 3092, 780, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 585, 1535, 538, 5613, 912, 258, 672, 1820, 3287, 2020, 258, 10753, 14563, 998, 513, 5569, 454, 258, 585, 1535, 538, 834, 3316, 3570, 13426, 258, 672, 1820, 3287, 2020, 258, 2736, 15048, 454, 258, 609, 519, 2736, 3948, 649, 666, 3247, 519, 8520, 1354, 621, 814, 8520, 539, 998, 782, 519, 3688, 563, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 585, 1535, 538, 5613, 912, 258, 672, 1820, 3287, 994, 258, 672, 952, 1535, 2652, 834, 3316, 3570, 13426, 258, 1363, 2736, 692, 258, 634, 3136, 3948, 454, 258, 609, 519, 3136, 3948, 649, 666, 3247, 519, 1699, 21767, 540, 519, 8520, 543, 3136, 609, 519, 1985, 21767, 563, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 257, 6540, 258, 585, 1535, 538, 5613, 912, 258, 672, 952, 1535, 2652, 834, 3316, 3570, 13426, 258, 1363, 3136, 454, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 9577, 454, 258, 1677, 8520, 998, 513, 1305, 540, 3009, 513, 9138, 1297, 540, 2053, 267, 649, 666, 946, 519, 2039, 3890, 1599, 2676, 258, 634, 2039, 3890, 1599, 7024, 513, 5311, 540, 2338, 267, 4358, 689, 476, 271, 676, 9949, 267, 543, 1213, 906, 676, 476, 272, 630, 2421, 9949, 1070, 543, 7475, 693, 513, 9138, 1297, 563, 258, 585, 1535, 538, 2039, 263, 277, 2187, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 1599, 9949, 338, 547, 476, 271, 607, 513, 4358, 1871, 267, 2705, 621, 568, 2009, 547, 14574, 519, 4358, 1871, 676, 4946, 513, 9936, 281, 2039, 263, 273, 267, 476, 277, 1070, 799, 1797, 2418, 689, 476, 273, 547, 476, 277, 630, 8117, 711, 1519, 476, 277, 2187, 258, 585, 1535, 538, 2039, 263, 273, 267, 476, 277, 2187, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 1599, 9949, 338, 547, 27261, 519, 5311, 676, 476, 272, 267, 2705, 621, 568, 2009, 547, 14574, 519, 27261, 1871, 676, 4946, 513, 3791, 9936, 281, 2039, 263, 273, 267, 476, 1789, 267, 476, 274, 2187, 258, 585, 1535, 538, 2039, 263, 273, 267, 476, 1789, 267, 476, 274, 2187, 258, 672, 1820, 3287, 2020, 258, 22527, 538, 1280, 31230, 454, 258, 634, 3116, 20438, 538, 513, 585, 8520, 23403, 513, 3625, 540, 3009, 547, 581, 13401, 950, 519, 8520, 568, 8737, 912, 258, 585, 1535, 538, 2039, 263, 277, 2187, 258, 672, 1820, 3287, 994, 258, 3116, 912, 258, 672, 1820, 2891, 7661, 5685, 1639, 10590, 2020, 258, 715, 6479, 10753, 3591, 454, 258, 589, 29005, 8520, 568, 513, 8520, 3330, 513, 8520, 563, 258, 634, 834, 27903, 8520, 257, 786, 581, 13401, 835, 942, 585, 1142, 21767, 540, 519, 834, 537, 614, 8520, 13426, 258, 7755, 815, 22373, 1042, 2580, 834, 15927, 2580, 834, 339, 7360, 31116, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 257, 6540, 258, 585, 1535, 538, 7755, 912, 258, 672, 585, 586, 538, 5613, 912, 258, 1363, 1820, 3287, 267, 586, 2020, 258, 634, 1780, 15048, 454, 258, 585, 17787, 3112, 581, 8900, 267, 855, 952, 596, 585, 930, 2601, 723, 513, 585, 8520, 609, 1100, 1543, 267, 2322, 538, 519, 1780, 3948, 547, 2057, 3478, 606, 5470, 563, 258, 585, 1535, 538, 1496, 271, 267, 476, 272, 267, 476, 273, 14158, 258, 672, 1780, 692, 258, 5124, 12793, 454, 258, 589, 1599, 568, 513, 3625, 540, 3009, 799, 1152, 8255, 950, 621, 568, 1572, 563, 258, 1411, 666, 1780, 1239, 267, 1634, 607, 6724, 267, 883, 513, 1599, 563, 258, 589, 1599, 666, 2132, 1239, 607, 513, 1267, 780, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1820, 2891, 15916, 689, 513, 1599, 15419, 258, 11910, 532, 513, 1599, 454, 258, 1677, 1289, 513, 1599, 267, 946, 519, 1599, 2012, 4553, 676, 2385, 4185, 912, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1820, 2891, 15916, 689, 513, 1599, 257, 9239, 258, 1250, 6958, 4233, 30800, 258, 14803, 3701, 454, 258, 6176, 666, 581, 5293, 883, 3252, 607, 7440, 563, 258, 14803, 3701, 616, 9138, 1310, 519, 1599, 2012, 267, 3330, 519, 24324, 269, 1411, 666, 1039, 607, 1082, 7440, 607, 596, 1616, 267, 1175, 5094, 873, 609, 513, 26893, 563, 258, 634, 1739, 1383, 814, 513, 1599, 609, 835, 4661, 6600, 4067, 1040, 1879, 519, 1599, 568, 1572, 267, 649, 1780, 2059, 513, 1101, 2012, 267, 799, 568, 1031, 3330, 519, 1599, 547, 1820, 519, 2407, 2012, 1384, 258, 1219, 1250, 6958, 4233, 6600, 4067, 2187, 258, 672, 1820, 6600, 4067, 1341, 834, 4676, 338, 5886, 257, 9239, 258, 1250, 6958, 4233, 2891, 10387, 841, 5602, 258, 1250, 6958, 4233, 2891, 307, 984, 5362, 5602, 258, 1250, 6958, 4233, 2891, 299, 19434, 15419, 258, 30352, 610, 14803, 3701, 888, 258, 634, 2474, 9936, 543, 4661, 666, 581, 1031, 585, 519, 1482, 3364, 281, 1344, 602, 616, 5293, 883, 513, 1599, 563, 258, 3245, 513, 1599, 781, 5133, 912, 258, 589, 9936, 568, 519, 4756, 7396, 3330, 519, 24324, 538, 519, 1599, 4214, 563, 258, 1323, 4661, 568, 519, 1871, 602, 568, 2366, 547, 519, 1599, 950, 621, 568, 1572, 780, 258, 7089, 540, 14803, 3701, 454, 258, 1635, 9949, 267, 513, 1599, 1590, 581, 1572, 609, 519, 2953, 1297, 540, 7440, 269, 12791, 602, 952, 707, 1599, 26770, 476, 273, 7440, 267, 596, 723, 547, 1289, 519, 1599, 609, 476, 273, 7440, 267, 711, 811, 267, 543, 711, 1447, 563, 258, 1219, 1250, 6958, 4233, 6600, 4067, 267, 561, 4067, 2187, 258, 672, 1820, 6600, 4067, 1341, 834, 834, 1341, 561, 4067, 9239, 258, 1250, 6958, 4233, 2891, 10387, 841, 2580, 834, 8269, 338, 5886, 15419, 258, 1488, 4226, 9009, 14803, 3701, 267, 2608, 16911, 454, 258, 1403, 596, 798, 711, 917, 875, 1082, 7440, 602, 786, 581, 5293, 883, 707, 1599, 267, 1039, 513, 2608, 1354, 519, 9936, 2012, 538, 519, 1599, 4214, 563, 258, 901, 1259, 519, 1599, 786, 4309, 513, 24042, 540, 7440, 267, 543, 666, 1569, 519, 3688, 9935, 912, 258, 1219, 1250, 6958, 4233, 28949, 330, 1749, 2187, 258, 672, 1820, 2891, 763, 21836, 1126, 568, 834, 1341, 3214, 314, 273, 20285, 258, 1250, 6958, 4233, 2891, 10387, 841, 2580, 834, 307, 984, 5362, 2580, 834, 299, 19434, 15419, 258, 6206, 5320, 14803, 3701, 454, 258, 1411, 666, 849, 6494, 7440, 609, 519, 1883, 815, 1871, 16105, 563, 258, 901, 1259, 519, 1931, 540, 519, 7440, 1281, 711, 2339, 563, 258, 1219, 1250, 6958, 4233, 263, 18876, 274, 267, 1126, 273, 267, 1126, 272, 2187, 258, 672, 1820, 2891, 763, 21836, 1126, 568, 834, 1341, 1126, 274, 9239, 258, 1250, 6958, 4233, 263, 18876, 272, 6889, 10387, 841, 2580, 1126, 273, 6889, 307, 984, 5362, 2580, 1126, 274, 6889, 299, 19434, 15419, 258, 1488, 4226, 9009, 6206, 5320, 14803, 3701, 267, 2878, 29220, 16911, 454, 258, 1403, 596, 798, 711, 917, 875, 1082, 20438, 7440, 602, 786, 581, 5293, 883, 707, 1599, 267, 1039, 1079, 14531, 7416, 281, 2878, 1354, 519, 9936, 2012, 538, 519, 1599, 4214, 563, 258, 901, 1259, 519, 1599, 786, 4309, 513, 8675, 540, 7440, 267, 543, 666, 1569, 519, 3688, 9935, 912, 258, 1219, 1250, 6958, 4233, 263, 1262, 330, 573, 2187, 258, 672, 1820, 2891, 14367, 2063, 2012, 568, 834, 1341, 4819, 14277, 331, 4067, 19312, 9239, 258, 1250, 6958, 4233, 6600, 4067, 6889, 307, 984, 5362, 2580, 561, 4067, 6889, 8269, 338, 5886, 15419, 258, 4347, 5435, 20368, 2678, 10025, 454, 258, 634, 1739, 1383, 2982, 875, 547, 946, 513, 9949, 9936, 1871, 563, 258, 1403, 649, 1289, 519, 1599, 1510, 4661, 267, 621, 3096, 519, 9949, 1871, 912, 258, 1219, 1250, 6958, 4233, 6262, 870, 787, 6889, 301, 528, 3118, 257, 2187, 258, 672, 1820, 2891, 296, 993, 689, 834, 1341, 2197, 2020, 258, 1250, 6958, 4233, 2891, 306, 14954, 523, 5602, 258, 1250, 6958, 4233, 2891, 19328, 5602, 258, 1250, 6958, 4233, 4590, 258, 1250, 6958, 4233, 2891, 24154, 7588, 15419, 258, 10426, 532, 513, 5903, 607, 606, 21261, 454, 258, 1411, 666, 6494, 1022, 1239, 2010, 540, 4661, 547, 513, 1599, 30415, 267, 1297, 267, 1592, 267, 8675, 3092, 13776, 543, 621, 786, 581, 5701, 607, 519, 1482, 1239, 1826, 3330, 519, 1599, 563, 258, 661, 3052, 269, 952, 596, 6494, 513, 5903, 607, 606, 4661, 267, 621, 786, 1869, 581, 513, 5903, 950, 621, 10301, 519, 1599, 912, 258, 1219, 1250, 6958, 4233, 6600, 797, 2187, 258, 672, 585, 1535, 538, 1426, 912, 258, 1363, 1820, 3287, 9239, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 1250, 6958, 4233, 6600, 21209, 2020, 258, 17776, 18880, 454, 258, 1677, 1577, 513, 1599, 2132, 513, 1871, 267, 946, 519, 2132, 3948, 1384, 258, 1219, 1250, 6958, 4233, 3287, 2187, 258, 672, 2132, 476, 276, 20080, 7531, 258, 1820, 30044, 6958, 4233, 263, 274, 4917, 258, 1820, 30044, 6958, 4233, 263, 276, 4917, 258, 1820, 30044, 6958, 4233, 263, 280, 264, 9239, 258, 634, 1780, 15048, 454, 258, 1599, 8847, 3112, 581, 8900, 267, 855, 952, 596, 585, 930, 2601, 723, 513, 1599, 4214, 609, 1100, 1543, 267, 2322, 538, 519, 1780, 3948, 547, 2057, 3478, 606, 5470, 780, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1780, 692, 258, 1234, 15479, 542, 454, 258, 5124, 849, 24693, 1599, 16571, 542, 267, 799, 1797, 513, 3989, 1599, 666, 1289, 3294, 563, 258, 1234, 15479, 542, 568, 513, 1455, 6310, 543, 5752, 1523, 269, 898, 1797, 602, 513, 1599, 7125, 3294, 269, 901, 814, 519, 4324, 540, 2495, 602, 596, 666, 8520, 998, 1239, 547, 3914, 513, 1267, 563, 258, 634, 17354, 1058, 581, 1360, 6297, 609, 16571, 542, 607, 621, 666, 581, 3833, 2653, 547, 17277, 883, 1603, 513, 1599, 799, 2760, 2165, 7149, 267, 610, 835, 602, 3096, 4430, 5666, 540, 3965, 610, 16267, 1379, 269, 1717, 267, 950, 2854, 7157, 16571, 542, 666, 581, 513, 1360, 3608, 543, 28879, 3887, 5586, 656, 1935, 547, 5752, 563, 258, 769, 713, 1383, 267, 2468, 23631, 15479, 542, 3890, 568, 513, 1599, 602, 649, 723, 3989, 547, 1289, 3294, 9497, 516, 2017, 572, 20257, 1284, 946, 519, 737, 4756, 607, 519, 1239, 267, 799, 3526, 906, 11196, 272, 264, 1169, 942, 649, 973, 9309, 269, 634, 16571, 542, 7475, 950, 519, 2783, 568, 711, 3152, 982, 476, 271, 630, 328, 4318, 269, 950, 621, 568, 476, 271, 1916, 258, 1677, 513, 1007, 17354, 621, 666, 1491, 930, 942, 547, 960, 856, 875, 4010, 713, 1568, 267, 1655, 1259, 547, 1265, 856, 568, 676, 4152, 543, 22212, 621, 780, 258, 1219, 2468, 23631, 15479, 542, 17347, 2187, 258, 672, 952, 737, 3436, 476, 271, 912, 258, 1363, 1267, 815, 737, 1341, 2468, 23631, 15479, 542, 17347, 268, 274, 994, 258, 1363, 1820, 31114, 994, 258, 672, 3116, 912, 258, 1363, 1267, 815, 476, 271, 454, 258, 672, 2132, 1267, 7531, 258, 1820, 19629, 333, 14826, 13434, 2720, 542, 1383, 2164, 5602, 258, 2468, 23631, 15479, 542, 263, 277, 2020, 258, 5124, 700, 10033, 454, 258, 589, 25754, 1599, 568, 513, 1507, 20822, 1599, 563, 258, 589, 25754, 1599, 666, 1491, 1022, 1297, 540, 7440, 267, 855, 666, 1152, 723, 835, 4082, 563, 258, 5410, 476, 1015, 547, 4661, 513, 2073, 543, 2132, 519, 1267, 10778, 258, 1535, 815, 25754, 513, 281, 513, 1341, 476, 1015, 454, 258, 1820, 3287, 263, 276, 11723, 258, 19681, 6767, 3252, 666, 1491, 1022, 1297, 540, 7440, 454, 258, 1535, 284, 14433, 513, 14720, 281, 513, 265, 321, 454, 258, 1820, 3287, 263, 276, 267, 277, 11723, 258, 1535, 815, 25754, 513, 267, 536, 267, 524, 281, 513, 17070, 25239, 454, 258, 1820, 3287, 263, 272, 267, 476, 273, 267, 476, 274, 11723, 258, 4208, 2422 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 476, 6110, 13646, 267, 1101, 22286, 3233, 10685, 2230, 267, 543, 11895, 18736, 568, 2469, 909, 538, 22208, 779, 3162, 8235, 5742, 269, 2290, 540, 519, 3119, 5820, 585, 519, 2679, 568, 6405, 269, 1306, 1142, 6405, 14903, 7962, 625, 922, 9115, 883, 519, 3135, 267, 513, 1007, 835, 27605, 909, 281, 602, 779, 513, 14903, 2903, 540, 6405, 1169, 2947, 3764, 269, 1306, 519, 7414, 19566, 1630, 1682, 267, 621, 779, 1210, 513, 2603, 540, 6405, 547, 1628, 5656, 267, 9897, 543, 824, 5989, 2443, 543, 1818, 782, 602, 6405, 568, 513, 2462, 851, 540, 938, 3327, 11640, 16634, 634, 1152, 9160, 2030, 538, 6115, 568, 538, 3162, 22208, 281, 12891, 717, 17311, 269, 898, 2306, 835, 3791, 540, 782, 519, 9160, 1031, 538, 6115, 269, 4706, 4893, 985, 20441, 519, 6607, 1467, 676, 519, 5800, 540, 22208, 269, 1656, 621, 849, 8309, 606, 856, 13355, 32004, 547, 22208, 779, 3327, 11640, 281, 519, 2030, 6589, 585, 4557, 2600, 540, 519, 2749, 779, 8511, 3154, 5434, 269, 661, 559, 6403, 338, 744, 262, 10468, 650, 5359, 269, 630, 298, 308, 8582, 994, 289, 5861, 269, 2912, 3218, 2489, 1305, 547, 29506, 1125, 13505, 595, 2481, 1788, 454, 289, 5861, 9538, 338, 2912, 3218, 2489, 814, 1305, 1200, 24738, 593, 519, 13505, 595, 2481, 538, 22583, 645, 5861, 1421, 4352, 1352, 3884, 1405, 2943, 2386, 799, 2460, 540, 519, 803, 8615, 3491, 915, 1200, 2319, 786, 581, 29506, 1944, 269, 834, 2005, 781, 971, 513, 1950, 1788, 2437, 1767, 8349, 13852, 2590, 518, 267, 945, 5950, 1200, 476, 1001, 279, 268, 866, 14422, 1544, 13723, 269, 13852, 2590, 518, 1767, 1082, 540, 519, 2055, 1200, 5604, 1185, 827, 13505, 595, 941, 12943, 538, 519, 645, 5861, 269, 7780, 1988, 8189, 2079, 5950, 2063, 1032, 267, 855, 1352, 11099, 519, 2481, 781, 4070, 1869, 3340, 3544, 23388, 269, 12448, 27956, 329, 1092, 5359, 269, 630, 290, 6195, 994, 302, 24810, 5808, 14190, 539, 10326, 28981, 1635, 681, 2644, 9469, 13574, 518, 1772, 715, 3139, 2817, 20088, 10615, 454, 763, 1007, 9117, 8689, 540, 519, 2817, 5244, 6796, 568, 513, 5449, 11614, 4013, 945, 729, 1065, 3234, 663, 539, 476, 1321, 1296, 3516, 585, 2046, 1005, 5520, 547, 1450, 519, 8227, 540, 519, 6115, 681, 2644, 9469, 547, 2759, 1524, 4054, 585, 513, 1732, 2070, 540, 519, 8000, 558, 659, 5211, 269, 25181, 4972, 27116, 269, 24138, 2098, 514, 651, 9307, 519, 13319, 540, 6754, 12253, 8055, 593, 13723, 269, 3245, 476, 1220, 275, 547, 476, 1001, 276, 267, 8055, 729, 2706, 23734, 550, 540, 20616, 2817, 8466, 5244, 16634, 589, 476, 1220, 277, 7634, 676, 519, 25181, 779, 8524, 528, 2489, 779, 5604, 1336, 602, 8055, 968, 514, 1952, 10187, 2299, 1031, 1010, 2990, 547, 4019, 2604, 543, 4931, 1203, 715, 4916, 5773, 892, 593, 15773, 540, 8355, 590, 5500, 1457, 267, 519, 8227, 540, 519, 715, 14566, 779, 6115, 681, 2644, 9469, 269, 590, 5500, 1457, 13604, 2759, 1524, 811, 982, 476, 9873, 4054, 593, 10480, 518, 958, 6870, 2244, 1063, 1010, 2777, 543, 519, 595, 261, 302, 22575, 269, 19846, 331, 654, 4461, 2917, 5359, 269, 630, 301, 11266, 994, 3086, 267, 707, 512, 1872, 4365, 734, 454, 26156, 9980, 8896, 772, 2529, 269, 27347, 26463, 2986, 20844, 1546, 674, 1075, 320, 268, 476, 28796, 7537, 623, 4306, 774, 340, 3967, 476, 1839, 476, 1001, 279, 454, 15674, 31165, 590, 2842, 476, 1015, 547, 476, 736, 737, 339, 1287, 4742, 476, 276, 547, 476, 1428, 737, 339, 538, 519, 12784, 269, 6489, 6329, 476, 272, 547, 476, 274, 10264, 269, 17335, 2220, 749, 476, 279, 10264, 693, 476, 1015, 7643, 269, 8058, 619, 563, 307, 2177, 20846, 17335, 2842, 476, 276, 547, 476, 1428, 737, 339, 8375, 547, 476, 1428, 547, 476, 1839, 737, 339, 1310, 28813, 269, 6489, 6329, 476, 273, 10264, 610, 1447, 2679, 547, 476, 273, 547, 476, 275, 10264, 1310, 28813, 269, 654, 2220, 749, 476, 1015, 10264, 693, 476, 1724, 7643, 269, 8058, 619, 563, 257, 21946, 880, 7256, 5240, 1299, 16661, 257, 568, 16432, 607, 513, 2146, 3028, 676, 19375, 590, 6737, 269, 1677, 24049, 267, 6494, 707, 2012, 543, 4757, 547, 20444, 6737, 31822, 264, 2892, 880, 572, 659, 558, 2593, 269, 2659, 4757, 1344, 568, 2760, 3838, 543, 596, 666, 5667, 889, 18285, 693, 1022, 942, 563, 21946, 880, 7256, 5240, 281, 4004, 6510, 267, 3447, 622, 267, 5917, 11229, 454, 10287, 593, 12108, 563, 21946, 880, 7256, 18058, 281, 18266, 4270, 570, 1245, 0, 3674, 1352, 2352, 547, 1174, 950, 1352, 568, 6158, 888, 9989, 646, 723, 7411, 16460, 543, 1620, 2055, 888, 9989, 1352, 723, 7411, 6998, 2055, 610, 6085, 532, 593, 606, 2680, 888, 3674, 646, 711, 1210, 2347, 5220, 888, 9989, 1352, 3100, 547, 723, 536, 17056, 4633, 888, 6701, 1010, 8292, 1055, 2389, 8084, 888, 11854, 3663, 543, 5678, 22627, 2488, 1367, 20241, 543, 3797, 585, 1453, 6502, 476, 274, 268, 1240, 945, 723, 17799, 538, 454, 14588, 3663, 543, 5924, 1893, 269, 3776, 5692, 568, 547, 948, 1142, 1126, 1921, 609, 519, 1004, 538, 1010, 17017, 1604, 538, 513, 6209, 1259, 998, 2792, 563, 4596, 12613, 7419, 2975, 9569, 281, 519, 957, 610, 1184, 540, 1210, 1913, 267, 4992, 267, 4191, 267, 610, 5615, 547, 2769, 610, 5385, 1344, 610, 547, 2769, 454, 20365, 2093, 267, 4555, 267, 4606, 267, 3092, 1421, 547, 2576, 3116, 630, 30560, 26713, 268, 31812, 264, 0, 3528, 1849, 633, 661, 916, 2917, 454, 548, 12069, 267, 543, 519, 1259, 519, 8375, 1533, 2829, 540, 519, 8884, 12038, 1394, 547, 10363, 2534, 998, 519, 4434, 540, 7128, 4229, 543, 519, 27715, 540, 12204, 540, 10751, 563, 763, 552, 26247, 24870, 538, 519, 13354, 2470, 1369, 799, 9867, 2829, 6594, 835, 1776, 543, 741, 12205, 267, 543, 519, 2081, 602, 9867, 6963, 619, 22121, 3741, 543, 11567, 2384, 532, 543, 10336, 6901, 538, 1114, 6082, 269, 898, 10123, 7710, 519, 7811, 4145, 30343, 4195, 4983, 267, 3746, 2358, 602, 519, 19260, 538, 3741, 593, 6760, 543, 20737, 723, 1044, 9444, 5276, 6862, 5180, 267, 543, 11744, 25442, 569, 602, 1082, 3741, 688, 6150, 607, 1007, 676, 1259, 540, 2413, 14761, 543, 538, 454, 9690, 7521, 593, 6760, 543, 922, 1412, 338, 30055, 3299, 723, 513, 5963, 17890, 543, 3879, 686, 748, 1686, 563, 5649, 610, 8281, 17235, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 7300, 454, 13436, 20410, 1686, 2835, 454, 1692, 1705, 4789, 1780, 689, 513, 1747, 540, 17071, 640, 547, 519, 2178, 5053, 10504, 547, 9585, 3486, 840, 15041, 29561, 286, 1282, 713, 1360, 1271, 4090, 19545, 267, 1325, 2581, 3381, 3756, 267, 513, 7810, 1977, 14787, 267, 7710, 519, 8884, 689, 476, 14444, 271, 547, 476, 14917, 271, 267, 1247, 4789, 13934, 2531, 514, 542, 936, 519, 586, 534, 27365, 17407, 267, 8810, 1007, 1279, 26591, 5385, 11507, 1369, 519, 29534, 11335, 543, 519, 5101, 28851, 267, 543, 7153, 1369, 519, 27867, 2540, 607, 606, 10504, 547, 22672, 517, 609, 563, 5575, 5950, 538, 476, 1960, 277, 269, 30296, 568, 606, 29501, 540, 13177, 1299, 14731, 267, 606, 1217, 320, 2754, 563, 763, 9872, 540, 519, 4095, 18487, 6837, 538, 476, 6642, 276, 6825, 513, 7432, 2460, 538, 5347, 3162, 7489, 3140, 2250, 269, 593, 519, 942, 267, 1906, 9787, 539, 519, 2956, 540, 519, 1646, 267, 6862, 6956, 519, 2702, 602, 922, 8783, 1223, 2097, 547, 29937, 269, 3245, 18803, 20297, 267, 519, 6837, 3366, 3842, 19413, 949, 1847, 2047, 547, 27490, 3650, 3127, 521, 6560, 585, 7115, 689, 3703, 4341, 281, 538, 476, 3707, 278, 621, 16309, 519, 3703, 14076, 1317, 519, 8378, 15194, 1648, 563, 292, 26663, 1296, 1310, 519, 1975, 527, 13933, 729, 2899, 1101, 3710, 621, 5170, 547, 581, 606, 12835, 540, 7952, 18229, 269, 711, 5976, 9227, 1082, 24988, 922, 11802, 2429, 519, 4655, 540, 24469, 1317, 519, 7050, 2460, 1369, 519, 4282, 540, 519, 1975, 527, 13933, 267, 519, 1296, 1739, 723, 1044, 540, 6697, 1871, 269, 11109, 649, 9312, 519, 16861, 19996, 267, 538, 519, 4098, 540, 476, 3707, 272, 674, 7660, 16710, 3576, 519, 6560, 547, 519, 16586, 609, 18086, 13485, 936, 519, 19305, 563, 268, 2060, 519, 717, 12584, 476, 4489, 275, 1107, 476, 4489, 279, 281, 1323, 4427, 531, 1181, 779, 9452, 630, 3412, 1137, 540, 2782, 994, 268, 634, 26308, 540, 15331, 281, 853, 1645, 7849, 13898, 538, 20640, 7570, 31588, 1722, 6628, 454, 268, 1772, 629, 7578, 267, 10348, 9453, 513, 3117, 7220, 454, 268, 11545, 5020, 538, 932, 29694, 781, 4789, 454, 21206, 9623, 585, 17235, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 454, 24979, 830, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 676, 1849, 633, 661, 916, 2917, 0, 306, 5271, 257, 5460, 267, 562, 269, 476, 272, 269, 2290, 1985, 538, 1931, 1310, 519, 15795, 282, 835, 4947, 1310, 3670, 1866, 563, 273, 269, 634, 23479, 540, 513, 1770, 5258, 676, 5722, 282, 835, 540, 5722, 3160, 2694, 883, 799, 4376, 568, 5258, 563, 263, 15404, 4700, 630, 320, 264, 1323, 8884, 8508, 5722, 1019, 520, 4577, 5232, 540, 519, 4336, 269, 630, 321, 264, 589, 16147, 799, 2882, 519, 8884, 540, 513, 18749, 2436, 2101, 267, 5634, 267, 610, 21022, 563, 6124, 910, 5410, 9218, 9612, 547, 2659, 13505, 454, 2791, 666, 1039, 513, 1863, 8675, 3406, 4216, 547, 707, 1378, 1357, 3135, 676, 25718, 543, 2250, 532, 519, 1739, 14103, 883, 835, 540, 707, 1357, 3817, 912, 283, 845, 2962, 6889, 10674, 2517, 4178, 8807, 7517, 1112, 16691, 16896, 270, 14142, 21703, 257, 1505, 6889, 14006, 22969, 2999, 335, 2511, 6889, 3667, 268, 7955, 281, 4099, 282, 13944, 1922, 13637, 281, 521, 753, 1606, 518, 604, 282, 22969, 2999, 320, 2511, 6889, 325, 2632, 27954, 281, 12050, 282, 257, 27430, 6889, 10674, 2517, 4178, 8807, 7517, 1112, 16691, 16896, 270, 257, 2140, 6889, 10403, 291, 1112, 1863, 2228, 8675, 22969, 10403, 291, 1112, 9572, 320, 285, 2999, 6358, 1826, 6889, 3667, 257, 2012, 6889, 5320, 257, 2450, 6889, 736, 257, 1871, 284, 3269, 29451, 2999, 6358, 1826, 6889, 11357, 2466, 257, 2012, 6889, 11357, 2466, 257, 1871, 6889, 15507, 9218, 257, 29451, 21742, 335, 285, 21742, 845, 11417, 26607, 476, 736, 628, 5988, 476, 1001, 280, 0, 295, 1716, 807, 2049, 950, 513, 9761, 5160, 610, 606, 1418, 24864, 998, 606, 6679, 538, 513, 4887, 610, 5160, 602, 6585, 621, 538, 1747, 269, 28871, 1200, 11844, 786, 2049, 538, 17737, 538, 930, 2665, 621, 786, 2049, 538, 5580, 25427, 267, 17987, 7735, 543, 9240, 514, 2127, 563, 28808, 340, 1400, 1200, 11844, 263, 6418, 9240, 514, 1070, 19743, 7614, 670, 1716, 807, 630, 21639, 7181, 1070, 772, 3387, 559, 673, 670, 1716, 807, 630, 17987, 7735, 16532, 5549, 29850, 670, 1716, 807, 630, 4611, 689, 606, 1651, 1707, 3738, 616, 519, 1034, 1455, 2010, 540, 1200, 11844, 563, 268, 769, 7666, 1400, 670, 1716, 807, 281, 634, 3824, 340, 1400, 12324, 568, 1336, 538, 707, 9240, 514, 3148, 16638, 2367, 267, 621, 568, 519, 1858, 1141, 519, 14203, 1738, 10260, 10596, 689, 519, 17737, 547, 519, 1085, 8527, 636, 269, 769, 2021, 9240, 514, 3148, 568, 2270, 609, 1082, 28587, 799, 2337, 547, 3180, 19786, 269, 7790, 286, 1607, 1826, 540, 1200, 11844, 568, 1455, 538, 2367, 982, 2021, 563, 268, 19743, 7614, 670, 1716, 807, 281, 769, 713, 1826, 540, 1200, 11844, 1022, 851, 540, 707, 7181, 786, 31732, 26360, 998, 29690, 883, 707, 9221, 269, 19743, 7614, 1200, 11844, 786, 2049, 6140, 1310, 476, 2004, 1296, 2025, 269, 769, 1126, 621, 568, 3361, 676, 4332, 8919, 563, 268, 772, 3387, 559, 673, 670, 1716, 807, 281, 1703, 568, 811, 4960, 547, 2049, 713, 1826, 540, 1200, 11844, 538, 1453, 543, 9002, 896, 476, 277, 3275, 2025, 269, 901, 4523, 950, 741, 16892, 4439, 613, 998, 741, 14159, 3774, 2282, 741, 17987, 7735, 563, 268, 5549, 29850, 670, 1716, 807, 2433, 5549, 29850, 1200, 11844, 786, 2049, 1152, 1310, 606, 14159, 6391, 269, 2271, 32347, 949, 7903, 998, 519, 1651, 1707, 10077, 610, 519, 10450, 563, 23382, 1588, 540, 4887, 267, 8467, 543, 8833, 616, 519, 1292, 2014, 540, 1200, 11844, 269, 18127, 23472, 267, 2085, 267, 5945, 610, 6391, 616, 519, 824, 1455, 3123, 540, 1200, 11844, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6769, 1038, 18007, 267, 8624, 284, 6358, 2891, 11767, 4737, 1299, 897, 910, 272, 267, 273, 610, 476, 274, 281, 834, 1040, 20889, 14052, 1038, 4737, 25507, 27562, 578, 3418, 1038, 897, 25507, 263, 8624, 3418, 1038, 952, 4737, 285, 271, 543, 4737, 283, 275, 543, 897, 285, 271, 543, 897, 283, 275, 543, 711, 29033, 314, 992, 268, 272, 6012, 3712, 268, 272, 316, 2525, 262, 311, 262, 610, 4604, 314, 992, 268, 272, 6012, 3712, 268, 272, 316, 2525, 262, 302, 10807, 2433, 1477, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 2891, 8923, 4283, 513, 4570, 1297, 14744, 825, 4604, 314, 992, 268, 272, 6012, 3712, 268, 272, 24557, 32188, 5897, 3698, 1404, 28399, 825, 585, 1775, 538, 2039, 263, 280, 8029, 1038, 952, 1775, 260, 273, 2525, 271, 6769, 2018, 1820, 3488, 311, 2490, 20298, 2018, 1747, 9638, 272, 338, 3418, 2018, 952, 4465, 9638, 272, 338, 8029, 3546, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 302, 2490, 20298, 2018, 1747, 9638, 273, 338, 3418, 2018, 952, 4465, 9638, 273, 338, 8029, 3546, 2736, 1477, 825, 952, 711, 26028, 517, 9638, 272, 338, 4297, 543, 711, 26028, 517, 9638, 273, 338, 264, 8029, 2018, 1820, 2891, 291, 6938, 310, 14744, 2452, 3890, 0, 258, 901, 3009, 5932, 2947, 1114, 8849, 5121, 543, 23607, 1142, 540, 741, 12644, 538, 1362, 4328, 1688, 2854, 9704, 780, 258, 634, 1739, 9479, 1104, 8021, 454, 5228, 11885, 1104, 4452, 339, 868, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 267, 25065, 1084, 454, 5228, 737, 10327, 269, 583, 2812, 1104, 547, 6831, 1538, 5566, 454, 5228, 737, 10327, 1104, 9271, 454, 5228, 737, 10327, 7456, 16558, 1104, 16511, 958, 21010, 539, 272, 291, 267, 16511, 958, 21010, 539, 273, 291, 267, 1230, 341, 273, 291, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 258, 901, 568, 519, 1292, 9577, 269, 898, 7125, 1142, 540, 519, 8849, 5121, 543, 13602, 519, 3977, 7455, 20193, 849, 3157, 519, 1239, 1305, 269, 3097, 3698, 1292, 10031, 825, 10471, 815, 4452, 339, 868, 3488, 32502, 6745, 1778, 10807, 1363, 1948, 20509, 519, 2866, 13096, 553, 564, 454, 825, 2473, 815, 10471, 18020, 272, 281, 27038, 316, 4449, 567, 1948, 901, 12981, 8637, 519, 3403, 2934, 540, 1142, 8343, 454, 825, 586, 815, 10471, 18020, 271, 281, 272, 316, 4449, 672, 1948, 901, 4971, 8637, 519, 3403, 10297, 540, 1142, 8343, 454, 825, 586, 815, 547, 6831, 1538, 5566, 12169, 264, 4449, 476, 1948, 595, 1538, 528, 3278, 519, 2866, 10297, 672, 3097, 825, 1449, 24512, 815, 4452, 339, 868, 2891, 32502, 6745, 652, 8442, 11434, 1948, 4452, 519, 4530, 13096, 553, 564, 454, 825, 1449, 9078, 8475, 272, 815, 1449, 24512, 18020, 271, 281, 272, 316, 1038, 1948, 901, 12981, 8637, 519, 3403, 10297, 540, 1142, 8343, 454, 825, 1449, 24512, 815, 1449, 24512, 18020, 272, 281, 27038, 316, 11434, 1948, 901, 12981, 8637, 519, 3403, 2934, 540, 1142, 8343, 454, 825, 1449, 9078, 8475, 815, 547, 6831, 1538, 5566, 6025, 652, 9078, 8475, 272, 264, 14030, 476, 1948, 595, 1538, 528, 3278, 519, 2866, 10297, 454, 825, 6111, 318, 821, 815, 6339, 1740, 318, 821, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 672, 1948, 595, 8712, 3060, 835, 454, 825, 6111, 4671, 6851, 815, 6339, 1740, 4671, 6851, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 672, 1948, 595, 8712, 3060, 1079, 454, 825, 6111, 318, 22764, 815, 6339, 1740, 318, 22764, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 1948, 595, 8712, 3060, 1614, 454, 825, 6111, 6958, 712, 815, 6339, 1740, 6958, 712, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 567, 1948, 595, 8712, 3060, 2185, 454, 825, 6111, 6958, 633, 815, 6339, 1740, 6958, 633, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 567, 1948, 595, 8712, 3060, 2947, 454, 258, 634, 1739, 9479, 605, 1372, 340, 806, 519, 3977, 7455, 454, 825, 512, 815, 5286, 30784, 1052, 263, 271, 1421, 476, 1789, 1421, 476, 272, 264, 14030, 4449, 3097, 825, 12301, 11859, 16932, 2891, 32086, 9210, 5255, 338, 5602, 825, 12301, 269, 29786, 2891, 260, 28557, 2201, 4530, 4578, 5602, 825, 12301, 19502, 6025, 267, 6111, 318, 821, 267, 1412, 337, 3299, 6003, 815, 262, 15187, 1740, 2290, 5073, 825, 12301, 19502, 6025, 267, 6111, 4671, 6851, 267, 1412, 321, 3299, 6003, 815, 262, 15187, 1740, 5565, 5073, 825, 12301, 19502, 6025, 267, 6111, 318, 22764, 267, 1412, 326, 3299, 6003, 815, 262, 15187, 1740, 8422, 5073, 825, 12301, 19502, 6025, 267, 6111, 6958, 712, 267, 1412, 344, 3299, 6003, 815, 262, 15187, 1740, 9050, 5073, 825, 12301, 19502, 6025, 267, 6111, 6958, 633, 267, 1412, 18872, 3299, 6003, 815, 262, 15187, 1740, 12866, 5073, 825, 12301, 269, 5586, 754, 4590, 825, 12301, 20481, 4590, 8931, 258, 901, 1599, 28352, 519, 3060, 609, 3143, 6456, 4494, 454, 3698, 3060, 318, 821, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 318, 821, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 3403, 5091, 574, 284, 16348, 267, 11852, 8782, 11927, 327, 262, 4297, 1038, 1948, 4347, 1149, 513, 4494, 454, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 338, 326, 323, 3299, 14573, 284, 9131, 3147, 5596, 262, 8079, 567, 1948, 3281, 3796, 519, 3060, 454, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 264, 1363, 1948, 3004, 1231, 519, 3060, 454, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 264, 4449, 567, 1948, 9751, 6452, 5596, 568, 6027, 454, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 264, 8587, 1948, 634, 3060, 21023, 338, 519, 3977, 540, 519, 1449, 1239, 1305, 454, 1038, 2953, 815, 271, 454, 258, 4855, 338, 519, 6111, 540, 519, 3060, 585, 1449, 1239, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 318, 821, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 318, 821, 692, 258, 901, 1599, 28352, 519, 3060, 609, 2290, 6456, 4494, 454, 3698, 3060, 4671, 6851, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 4671, 6851, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2203, 14491, 20573, 1619, 263, 1321, 267, 3403, 5091, 574, 284, 16348, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 4671, 6851, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 4671, 6851, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 12725, 4448, 454, 3698, 3060, 318, 22764, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 318, 22764, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 1449, 24512, 284, 1449, 24512, 269, 31412, 6025, 652, 24512, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 5038, 267, 630, 274, 267, 274, 1070, 3403, 318, 27729, 14352, 1626, 267, 476, 1626, 267, 272, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 1626, 267, 630, 276, 267, 276, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 263, 14503, 520, 1084, 15405, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 318, 22764, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 318, 22764, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 267, 12725, 4448, 609, 2597, 4687, 454, 3698, 3060, 6958, 712, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 6958, 712, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 1449, 24512, 284, 1449, 24512, 269, 31412, 6025, 652, 24512, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 2203, 14491, 263, 3519, 341, 273, 291, 263, 12553, 267, 263, 274, 267, 274, 1070, 3403, 318, 27729, 14352, 1626, 267, 1626, 267, 272, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 1626, 267, 630, 276, 267, 276, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 263, 14503, 520, 1084, 15405, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 6958, 712, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 6958, 712, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 267, 12725, 4448, 267, 1079, 2157, 540, 2597, 4687, 454, 3698, 3060, 6958, 633, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 6958, 633, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 10387, 1176, 32591, 2023, 454, 258, 4596, 17092, 476, 14596, 454, 258, 23911, 3009, 547, 1711, 476, 273, 4351, 476, 273, 291, 14249, 543, 9062, 873, 476, 7531, 5228, 4351, 1104, 6079, 454, 5228, 4351, 1104, 28219, 842, 692, 2745, 4590, 2745, 10797, 9795, 815, 11713, 337, 815, 476, 276, 454, 322, 815, 476, 276, 692, 1721, 1775, 538, 2039, 16868, 2187, 825, 2855, 815, 11713, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 1871, 272, 815, 28219, 842, 263, 271, 267, 1911, 994, 1038, 2855, 6910, 263, 7407, 272, 994, 825, 5119, 6910, 19906, 994, 8931, 2745, 2891, 9795, 476, 272, 8442, 22322, 1721, 1775, 538, 2039, 16868, 2187, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 1820, 263, 9795, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2745, 630, 2020, 9795, 273, 815, 11713, 337, 273, 815, 678, 454, 322, 273, 815, 524, 692, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 2855, 273, 815, 11713, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1871, 272, 815, 28219, 842, 263, 271, 267, 1911, 994, 1038, 2855, 273, 6910, 263, 7407, 272, 994, 825, 5119, 273, 6910, 19906, 273, 994, 8931, 2745, 2891, 9795, 476, 273, 8442, 22322, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1820, 263, 9795, 273, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2908, 30467, 815, 11713, 1721, 1775, 538, 2039, 16868, 2187, 825, 1617, 815, 11713, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 15254, 272, 815, 703, 263, 9795, 5157, 6012, 329, 7481, 1038, 15254, 273, 815, 703, 263, 9795, 273, 14728, 6012, 328, 7481, 1038, 15254, 274, 815, 15254, 272, 265, 12534, 273, 454, 1038, 1617, 6910, 263, 12534, 274, 994, 825, 1007, 30467, 6910, 9852, 738, 2020, 2745, 4590, 2745, 2891, 20123, 328, 680, 1221, 1319, 878, 625, 8442, 22322, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1820, 28956, 30467, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2745, 3890, 825, 454, 0, 28495, 580, 2784, 657, 815, 703, 9272, 2891, 28808, 516, 572, 17485, 5552, 657, 22966, 857, 639, 24097, 333, 8442, 2020, 4910, 738, 5964, 815, 10581, 18154, 550, 580, 2784, 657, 265, 280, 270, 276, 264, 1341, 476, 3953, 692, 2745, 2891, 299, 657, 5552, 657, 674, 13873, 15241, 5067, 281, 834, 1341, 1193, 263, 4910, 738, 5964, 4297, 0, 5228, 31287, 1104, 31287, 454, 655, 1943, 2465, 272, 815, 31287, 2891, 332, 1695, 332, 797, 2580, 476, 2767, 267, 834, 17359, 23637, 1821, 331, 641, 618, 645, 2393, 322, 2086, 2580, 8771, 994, 655, 1943, 2465, 273, 815, 31287, 2891, 299, 599, 628, 2580, 476, 1789, 2073, 834, 294, 22003, 2580, 6936, 2020, 2745, 9497, 32715, 2465, 8745, 2580, 655, 1943, 2465, 272, 20508, 267, 834, 32715, 2465, 2085, 2580, 655, 1943, 2465, 272, 269, 720, 267, 834, 32715, 2465, 4972, 2580, 655, 1943, 2465, 272, 6155, 788, 3477, 267, 834, 529, 15440, 286, 2580, 655, 1943, 2465, 272, 18994, 318, 2006, 4526, 2020, 2745, 9497, 32715, 2465, 8745, 2580, 655, 1943, 2465, 273, 20508, 267, 834, 32715, 2465, 2085, 2580, 655, 1943, 2465, 273, 269, 720, 267, 834, 32715, 2465, 4972, 2580, 655, 1943, 2465, 273, 6155, 788, 3477, 267, 834, 529, 15440, 286, 2580, 655, 1943, 2465, 273, 18994, 318, 2006, 4526, 994, 0, 258, 5442, 22552, 10813, 5746, 2177, 2464, 912, 258, 4856, 2958, 597, 3288, 2936, 24265, 1642, 3473, 528, 527, 15879, 632, 21482, 1938, 692, 258, 476, 272, 11607, 12456, 657, 1130, 2803, 538, 2772, 525, 454, 2745, 2891, 11749, 2803, 538, 2772, 525, 5602, 288, 815, 476, 17734, 454, 289, 815, 476, 4572, 454, 2745, 10490, 994, 2745, 16360, 994, 258, 476, 273, 11607, 595, 545, 5979, 1642, 3473, 528, 527, 15879, 454, 1721, 1775, 538, 2039, 263, 276, 2187, 476, 1820, 2891, 296, 614, 24265, 834, 1341, 1193, 9217, 4917, 476, 681, 815, 589, 4939, 645, 454, 476, 1820, 2891, 305, 815, 834, 1341, 1193, 27562, 11723, 476, 589, 815, 645, 454, 476, 645, 815, 681, 454, 476, 1820, 2891, 288, 815, 834, 1341, 1193, 10490, 4917, 476, 1820, 2891, 289, 815, 834, 1341, 1193, 16360, 4917, 258, 28088, 15606, 630, 553, 793, 541, 1714, 1267, 5964, 1642, 631, 5861, 6185, 269, 513, 3288, 4756, 631, 994, 2745, 2891, 14976, 631, 5861, 6185, 269, 1965, 815, 834, 1341, 1193, 29687, 4917, 0, 258, 290, 3918, 12442, 815, 595, 6020, 2752, 570, 5723, 5085, 288, 454, 258, 27486, 12224, 815, 5442, 306, 2207, 7644, 454, 258, 308, 11520, 12442, 815, 11083, 308, 3201, 22003, 2752, 454, 258, 14701, 4041, 15288, 815, 16692, 4041, 307, 2752, 454, 258, 10345, 22268, 815, 11550, 290, 7838, 2752, 8528, 5814, 13483, 29411, 274, 692, 258, 1366, 9339, 268, 288, 12702, 296, 661, 4041, 5442, 2975, 8656, 589, 595, 6020, 288, 383, 485, 12728, 302, 11298, 645, 3198, 4596, 16692, 667, 4696, 5308, 31909, 302, 661, 4041, 715, 12728, 302, 12327, 8780, 288, 8206, 256, 1366, 9339, 268, 16482, 28947, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 19387, 815, 4276, 269, 19387, 4590, 338, 27942, 272, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 7548, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 13376, 2012, 570, 28692, 10691, 715, 26097, 2676, 13376, 524, 335, 325, 570, 28692, 10691, 715, 26097, 2676, 13376, 8977, 3512, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 272, 994, 28947, 2593, 2466, 10797, 338, 27942, 273, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 620, 684, 334, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 672, 2012, 570, 28692, 10691, 715, 26097, 2676, 4449, 672, 524, 335, 325, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 273, 994, 28947, 2593, 2466, 10797, 338, 27942, 274, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 5676, 2088, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 1363, 2012, 570, 28692, 10691, 715, 26097, 2676, 4449, 1363, 13798, 318, 4134, 4184, 2088, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 274, 994, 28947, 2593, 2466, 10797, 338, 27942, 275, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 2881, 2742, 263, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 567, 13798, 4671, 584, 2742, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 1974, 334, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 13798, 318, 4134, 4184, 2088, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 524, 335, 325, 318, 2889, 13940, 528, 570, 28692, 2676, 4449, 567, 524, 335, 325, 318, 531, 684, 334, 570, 28692, 264, 18411, 19387, 20216, 31146, 4433, 27942, 275, 994, 28947, 2593, 2466, 10797, 28947, 25379, 10797, 5035, 7905, 263, 2567, 8528, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 8073, 318, 2889, 13940, 528, 4311, 267, 2012, 267, 524, 335, 325, 267, 8257, 2187, 1038, 1582, 20508, 815, 2012, 269, 21639, 4590, 1038, 1582, 6983, 335, 325, 815, 524, 335, 325, 454, 1038, 1582, 6155, 788, 3477, 815, 8257, 269, 21639, 10797, 1038, 1219, 8890, 10045, 4311, 2187, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 7548, 7055, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 269, 992, 1496, 273, 316, 2652, 1582, 6983, 335, 325, 2187, 7386, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 7386, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 7548, 630, 4067, 267, 524, 335, 325, 267, 8977, 3512, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 267, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 335, 325, 267, 1582, 6155, 788, 3477, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 4449, 17264, 692, 1038, 8890, 10045, 4311, 2020, 16875, 1948, 12239, 288, 674, 7419, 383, 485, 12728, 302, 16843, 383, 479, 590, 2207, 11555, 2316, 305, 4696, 288, 692, 1363, 692, 5035, 1325, 684, 334, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 8073, 318, 531, 684, 334, 4311, 267, 2012, 267, 524, 335, 325, 2187, 1038, 1582, 20508, 815, 2012, 269, 21639, 4590, 1038, 1582, 6983, 335, 325, 815, 524, 335, 325, 692, 1038, 1219, 8890, 10045, 10031, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 620, 684, 334, 7055, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 6983, 335, 325, 2652, 1582, 269, 992, 314, 273, 316, 2187, 4449, 567, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 4449, 567, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 620, 684, 334, 630, 4067, 267, 524, 335, 325, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 335, 325, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 13872, 1038, 8890, 10045, 10797, 692, 5035, 2598, 4184, 2088, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 22562, 825, 1219, 8073, 318, 4134, 4184, 2088, 4311, 267, 2012, 267, 13798, 2187, 1038, 1582, 6983, 617, 815, 13798, 454, 1038, 1582, 20508, 815, 2012, 269, 21639, 10797, 1038, 1219, 8890, 10045, 10031, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 5676, 2088, 1412, 454, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 6983, 617, 2652, 1582, 269, 992, 314, 273, 316, 610, 1582, 20508, 2652, 1582, 269, 992, 314, 272, 316, 2187, 4449, 567, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 4449, 567, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 5676, 2088, 630, 4067, 267, 13798, 318, 4134, 4184, 2088, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 617, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 13872, 1038, 8890, 10045, 4590, 672, 19638, 5035, 5695, 2742, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 13798, 4671, 584, 2742, 267, 1974, 334, 267, 13798, 318, 4134, 4184, 2088, 2187, 1038, 1582, 6983, 617, 4671, 584, 2742, 815, 13798, 4671, 584, 2742, 454, 1038, 1582, 269, 704, 1675, 334, 815, 1974, 334, 454, 1038, 1582, 6983, 617, 318, 4134, 4184, 2088, 815, 13798, 318, 4134, 4184, 2088, 28329, 8931, 825, 1219, 8073, 4311, 2187, 1038, 1780, 22562, 825, 1219, 3367, 4311, 2187, 1038, 1780, 454, 672, 692, 825, 1219, 22352, 4311, 2187, 1038, 1780, 692, 825, 1219, 1546, 8541, 4311, 2187, 1038, 1780, 692, 18411, 20694, 663, 516, 815, 1325, 684, 334, 4590, 20694, 663, 516, 269, 5719, 8541, 318, 531, 684, 334, 3488, 11277, 10807, 18257, 0, 548, 14285, 6359, 323, 284, 24834, 9272, 2891, 613, 1030, 14247, 682, 14285, 6359, 323, 281, 27328, 335, 5684, 334, 677, 14352 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5728, 687, 267, 865, 519, 3621, 2146, 16143, 602, 15679, 293, 729, 1271, 267, 855, 649, 4769, 1406, 917, 1946, 2223, 918, 1177, 752, 9564, 1767, 563, 16281, 293, 2090, 1185, 1044, 3908, 676, 1896, 2188, 936, 519, 1296, 267, 646, 3773, 267, 1519, 519, 17418, 547, 2203, 15679, 293, 4205, 538, 8983, 269, 769, 1840, 267, 918, 1177, 752, 9564, 1767, 5821, 547, 2697, 519, 15679, 293, 13805, 849, 30281, 3356, 563, 17606, 779, 1360, 267, 1360, 8966, 585, 1082, 1296, 547, 1780, 1063, 519, 6602, 540, 513, 11140, 543, 519, 8446, 540, 922, 13805, 2223, 646, 1767, 269, 968, 1103, 713, 2013, 267, 476, 1428, 1296, 1185, 5293, 269, 9453, 519, 13805, 267, 649, 7948, 1406, 1174, 519, 1909, 540, 713, 3940, 538, 10447, 543, 11959, 2223, 646, 1767, 563, 298, 1177, 752, 9564, 543, 1010, 2319, 941, 519, 1101, 547, 4194, 713, 9814, 538, 476, 1220, 278, 4534, 7114, 513, 15410, 540, 16384, 292, 543, 16384, 294, 6675, 607, 15679, 293, 13364, 269, 901, 1344, 5795, 1010, 1895, 519, 2565, 7508, 4062, 540, 519, 15679, 293, 11015, 543, 13087, 519, 3173, 547, 4786, 15679, 293, 779, 1909, 538, 14711, 11852, 563, 763, 1353, 814, 1044, 5063, 3370, 2228, 538, 519, 4750, 540, 11916, 27148, 269, 0, 16085, 7428, 7615, 267, 11908, 267, 7330, 2008, 23277, 582, 1729, 281, 834, 8489, 1548, 781, 19171, 547, 2659, 9839, 12846, 25198, 257, 2008, 19613, 538, 20306, 532, 5069, 6019, 543, 519, 1533, 540, 11908, 454, 27242, 26302, 1475, 289, 691, 517, 25548, 9007, 2008, 27242, 11192, 1475, 273, 269, 272, 13483, 11465, 630, 273, 269, 272, 5998, 273, 10245, 27242, 8092, 1475, 273, 269, 272, 13483, 11465, 630, 273, 269, 272, 5998, 273, 10245, 27242, 4826, 1475, 271, 269, 271, 13483, 11465, 630, 271, 5998, 273, 10245, 347, 292, 4582, 566, 1475, 8064, 10264, 630, 2190, 544, 10245, 27242, 25670, 1475, 5952, 275, 269, 274, 4882, 336, 11465, 630, 5952, 275, 269, 274, 270, 14790, 273, 10245, 347, 11742, 7997, 1475, 12239, 630, 7473, 290, 268, 276, 10245, 27242, 14400, 630, 291, 4306, 10534, 3633, 307, 630, 7473, 290, 268, 275, 10245, 347, 294, 301, 3041, 4183, 9517, 1475, 30033, 20542, 278, 2008, 347, 2171, 2125, 924, 1475, 30949, 540, 11354, 7615, 11908, 2008, 347, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 630, 20809, 476, 1220, 279, 10245, 306, 7428, 7615, 568, 519, 10160, 540, 2229, 585, 20306, 532, 5069, 6019, 269, 661, 321, 2940, 10045, 729, 519, 10315, 10160, 689, 476, 9692, 278, 547, 476, 9692, 280, 269, 769, 476, 9692, 280, 267, 20306, 532, 5069, 6019, 1185, 1614, 1114, 10315, 16295, 269, 634, 1533, 23328, 12912, 513, 10243, 547, 2824, 513, 1007, 31344, 958, 4092, 3135, 585, 519, 8628, 10315, 10160, 269, 589, 4087, 2947, 5195, 689, 519, 4099, 540, 519, 10315, 729, 6074, 543, 3957, 11354, 7615, 267, 585, 519, 24873, 540, 4937, 6424, 2349, 4169, 515, 541, 563, 763, 10315, 2229, 23500, 519, 1007, 4884, 267, 543, 11280, 10754, 267, 6266, 267, 543, 519, 1857, 10945, 602, 941, 547, 581, 1031, 585, 519, 1330, 628, 1787, 543, 519, 21569, 269, 634, 6266, 941, 4421, 547, 8804, 519, 4070, 540, 891, 1857, 5656, 269, 589, 4786, 6537, 538, 476, 9264, 272, 2982, 2185, 5087, 1700, 338, 1926, 10754, 543, 8370, 7532, 1700, 8054, 10754, 269, 4886, 540, 519, 1007, 10315, 10160, 729, 3500, 267, 607, 621, 729, 9678, 689, 22232, 11507, 540, 4123, 269, 2311, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 621, 729, 7396, 607, 2348, 1152, 827, 12964, 8075, 563, 288, 476, 5002, 278, 4786, 4951, 519, 16456, 1185, 2097, 547, 4884, 267, 606, 791, 28127, 585, 2208, 269, 9050, 1007, 7532, 1700, 8054, 10754, 1185, 1044, 3773, 267, 607, 1134, 607, 1896, 1007, 5087, 1700, 338, 1926, 10754, 269, 901, 1974, 4718, 519, 6574, 2208, 538, 11354, 7615, 269, 634, 5696, 8657, 21805, 689, 14205, 20087, 729, 3710, 827, 476, 5002, 278, 267, 607, 729, 519, 6723, 631, 269, 5696, 8657, 27517, 17524, 269, 769, 476, 5002, 279, 519, 1459, 6019, 3938, 628, 1787, 729, 9112, 269, 769, 519, 8717, 689, 476, 5002, 271, 547, 476, 4489, 271, 267, 519, 2551, 540, 11354, 7615, 2799, 547, 476, 4335, 689, 476, 16328, 563, 9961, 519, 476, 866, 628, 268, 543, 2038, 476, 736, 628, 10601, 3162, 267, 519, 1330, 628, 1787, 4009, 6039, 607, 519, 13540, 540, 4884, 2534, 543, 519, 19671, 1472, 799, 519, 2146, 729, 9709, 269, 634, 1330, 628, 1787, 729, 2356, 11303, 676, 1857, 2230, 610, 676, 513, 4009, 269, 670, 11817, 7153, 593, 519, 535, 2590, 525, 540, 519, 4009, 267, 543, 2208, 1131, 2356, 2234, 5573, 689, 519, 1330, 628, 1787, 267, 3384, 513, 4009, 4884, 1544, 269, 11354, 7615, 814, 1806, 540, 971, 1646, 267, 855, 1454, 2038, 6189, 729, 4503, 1813, 547, 513, 3126, 540, 11642, 689, 519, 3735, 476, 866, 628, 2540, 998, 519, 476, 3422, 271, 338, 269, 11354, 7615, 781, 476, 5002, 279, 1330, 628, 1787, 267, 2966, 538, 519, 8106, 5259, 2511, 607, 513, 3090, 540, 14081, 534, 2229, 267, 568, 606, 1383, 540, 519, 1330, 628, 1787, 607, 4884, 19671, 563, 4263, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 519, 20306, 532, 5069, 6019, 3938, 628, 1787, 729, 513, 1079, 3613, 800, 7406, 2679, 6849, 7216, 9335, 269, 634, 2539, 6989, 8659, 519, 5480, 4055, 543, 513, 1906, 13646, 269, 634, 2034, 6989, 6039, 607, 519, 808, 1722, 18740, 269, 769, 476, 5002, 279, 267, 519, 1459, 1330, 628, 1787, 729, 3710, 267, 2966, 676, 14205, 20087, 4056, 5754, 2006, 654, 269, 31864, 16225, 269, 769, 476, 3192, 280, 606, 24509, 729, 3773, 585, 3606, 2230, 269, 634, 1330, 628, 1787, 1185, 1831, 811, 982, 513, 2679, 538, 799, 547, 5873, 3656, 2665, 269, 6019, 1870, 9450, 8506, 2230, 585, 13646, 971, 607, 519, 12525, 8178, 528, 267, 519, 12525, 11814, 528, 267, 543, 519, 6019, 8189, 619, 269, 4746, 4092, 538, 519, 1330, 628, 1787, 729, 519, 11525, 622, 7040, 267, 799, 13950, 786, 338, 543, 1449, 14613, 543, 6743, 1310, 610, 874, 753, 543, 11097, 3298, 269, 634, 7395, 626, 3433, 781, 7040, 799, 12199, 593, 1312, 7803, 543, 3540, 2665, 563, 306, 7428, 7615, 4810, 922, 2101, 10821, 2208, 1472, 476, 4489, 271, 269, 4438, 602, 1974, 267, 519, 11265, 6752, 538, 8075, 729, 13346, 689, 519, 14969, 543, 3810, 2143, 16972, 2511, 547, 519, 12863, 8551, 543, 27207, 610, 645, 25193, 578, 269, 634, 5354, 540, 11354, 7615, 781, 8978, 5321, 2992, 713, 2663, 536, 25193, 578, 2511, 269, 901, 27139, 6752, 568, 1419, 5219, 547, 607, 28477, 16972, 269, 898, 568, 25992, 676, 519, 946, 540, 32605, 960, 1472, 552, 2314, 543, 11188, 2583, 267, 16560, 11188, 577, 7028, 267, 4806, 539, 30133, 538, 519, 575, 1963, 543, 2582, 1790, 534, 539, 267, 5595, 3620, 2426, 9486, 563, 763, 8075, 941, 9862, 547, 9381, 11908, 781, 3636, 1604, 269, 4107, 8075, 941, 3710, 593, 6659, 13210, 267, 547, 9101, 3002, 8375, 689, 519, 2666, 543, 1450, 585, 14910, 547, 2569, 14927, 1145, 543, 9044, 269, 8837, 941, 21825, 5116, 547, 1683, 3444, 14910, 543, 547, 7001, 3579, 10543, 30089, 269, 634, 27105, 552, 2314, 543, 11188, 2583, 2149, 519, 9703, 689, 1463, 3141, 267, 4227, 519, 10338, 540, 3002, 267, 543, 849, 1683, 606, 9205, 2713, 1858, 563, 1103, 10262, 2609, 540, 1164, 2781, 559, 902, 543, 5595, 3620, 2426, 9486, 5280, 609, 9023, 269, 2201, 3636, 2395, 519, 5580, 6885, 521, 1662, 1223, 581, 22485, 547, 1450, 519, 3905, 2011, 547, 9101, 267, 1247, 3579, 2011, 729, 6537, 538, 519, 6659, 2539, 6885, 521, 1662, 269, 1452, 2609, 13745, 609, 5394, 29147, 6821, 547, 1711, 513, 6899, 1604, 563, 5194, 9381, 2783, 568, 5230, 4764, 269, 4475, 267, 1034, 22908, 616, 14869, 569, 8486, 3481, 547, 2087, 8122, 12775, 269, 3509, 540, 519, 8978, 22908, 616, 4496, 267, 547, 8774, 4764, 543, 547, 2061, 519, 3262, 540, 3595, 689, 835, 2497, 547, 519, 1985, 269, 1306, 11354, 7615, 729, 13840, 513, 4718, 17524, 4884, 267, 3362, 3015, 29421, 8329, 547, 519, 2392, 7631, 766, 540, 11308, 7406, 8075, 269, 634, 5354, 540, 519, 8978, 5321, 941, 9112, 1354, 519, 18914, 267, 865, 789, 1705, 711, 723, 1286, 7964, 610, 6095, 1137, 563, 306, 7428, 7615, 568, 4092, 693, 630, 3953, 269, 3607, 279, 13301, 267, 910, 10037, 269, 20542, 13923, 1916, 6097, 547, 519, 2136, 2276, 17227, 13163, 267, 519, 2749, 814, 513, 2698, 1858, 540, 476, 273, 269, 272, 4009, 5195, 630, 276, 269, 275, 5998, 273, 1070, 782, 540, 621, 2244, 563, 2026, 540, 519, 14829, 540, 476, 1220, 271, 267, 972, 941, 476, 272, 267, 279, 2641, 1004, 267, 476, 277, 3451, 10820, 267, 543, 476, 28526, 3885, 23493, 538, 519, 2749, 269, 634, 2551, 5860, 729, 476, 5952, 275, 269, 274, 1004, 829, 4009, 13304, 630, 20065, 269, 272, 270, 14790, 11054, 1040, 1703, 941, 476, 3583, 275, 8027, 4559, 693, 606, 3328, 5860, 540, 476, 20065, 269, 274, 829, 4009, 13304, 630, 14096, 269, 277, 270, 14790, 11054, 1040, 634, 7292, 17539, 540, 519, 2749, 729, 476, 10602, 269, 2764, 260, 6519, 267, 476, 2420, 269, 1724, 260, 3979, 1977, 267, 476, 271, 269, 4343, 260, 7111, 1977, 267, 476, 271, 269, 4962, 260, 7489, 267, 476, 271, 269, 1556, 260, 7414, 29474, 267, 476, 271, 269, 6507, 260, 689, 824, 14797, 267, 543, 476, 271, 269, 2767, 260, 689, 1079, 610, 811, 14797, 269, 17104, 610, 21337, 540, 1022, 5198, 941, 476, 273, 269, 6734, 260, 540, 519, 2551, 563, 2467, 941, 476, 277, 3451, 10820, 856, 540, 799, 476, 3607, 269, 273, 260, 1185, 1453, 896, 519, 2085, 540, 476, 1240, 2713, 609, 873, 267, 476, 7906, 269, 271, 260, 941, 9310, 15185, 2713, 1927, 267, 476, 1704, 269, 275, 260, 1185, 513, 4775, 7622, 518, 609, 1100, 9393, 1459, 267, 543, 476, 2764, 269, 274, 260, 941, 1875, 1922, 7056, 625, 269, 476, 1839, 269, 277, 260, 540, 782, 10820, 941, 1500, 909, 540, 2043, 543, 476, 1556, 269, 276, 260, 1185, 2576, 2713, 4805, 945, 729, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 3328, 7622, 2450, 729, 476, 273, 269, 4366, 543, 519, 3328, 1920, 2450, 729, 476, 273, 269, 9032, 563, 1103, 519, 2749, 519, 2551, 729, 3262, 856, 609, 476, 2190, 269, 272, 260, 896, 519, 2085, 540, 476, 1240, 267, 476, 280, 269, 278, 260, 689, 476, 1240, 547, 476, 2190, 267, 476, 1789, 269, 273, 260, 689, 476, 1839, 547, 476, 4510, 267, 476, 1240, 269, 280, 260, 689, 476, 3393, 547, 476, 5038, 267, 543, 476, 1704, 269, 272, 260, 945, 941, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 11667, 2085, 729, 476, 3607, 1296, 269, 1280, 1169, 476, 1911, 8951, 972, 941, 476, 9834, 269, 278, 9038, 269, 1280, 1169, 476, 1911, 8951, 2085, 476, 1240, 543, 936, 267, 972, 941, 476, 11152, 269, 279, 9038, 563, 763, 11667, 4747, 585, 513, 7622, 538, 519, 2749, 729, 1269, 3607, 267, 276, 4510, 267, 543, 519, 11667, 4747, 585, 513, 1920, 729, 1269, 6078, 267, 5881, 272, 269, 631, 2297, 1185, 513, 11667, 4747, 540, 1269, 3374, 267, 6021, 277, 8957, 1269, 1839, 267, 4572, 585, 8951, 269, 634, 829, 21027, 4747, 585, 519, 2749, 729, 1269, 1626, 267, 31982, 269, 6168, 476, 1556, 269, 272, 260, 540, 3885, 543, 476, 1724, 269, 275, 260, 540, 519, 2551, 941, 2630, 519, 6710, 1899, 267, 1519, 476, 1704, 269, 275, 260, 540, 1346, 896, 2085, 476, 1240, 543, 476, 279, 269, 277, 260, 540, 1346, 2085, 476, 4792, 610, 936, 563, 292, 742, 532, 5069, 6019, 3427, 10588, 454, 763, 20306, 532, 5069, 6019, 3427, 10588, 6585, 9344, 840, 17469, 547, 3446, 12964, 267, 602, 5161, 540, 5216, 10026, 3506, 267, 1614, 1647, 3506, 267, 543, 1079, 1164, 3506, 269, 634, 8664, 814, 476, 276, 1556, 2407, 6066, 3610, 543, 936, 476, 280, 267, 271, 4391, 1053, 563, 268, 645, 1633, 5112, 16504, 3427, 454, 268, 661, 321, 2940, 10045, 16504, 3427, 454, 268, 24053, 2023, 16504, 3427, 454, 268, 3057, 869, 16504, 3427, 454, 268, 681, 514, 935, 16504, 3427, 454, 268, 9995, 10830, 16504, 3427, 454, 268, 3162, 20306, 532, 5069, 16504, 3427, 454, 268, 11354, 7615, 16504, 3427, 454, 268, 661, 321, 2940, 10045, 5664, 3427, 454, 268, 20306 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 5490, 883, 519, 1761, 1764, 540, 15345, 1122, 548, 593, 519, 2790, 1072, 267, 1514, 1983, 267, 543, 2228, 3106, 540, 922, 1762, 3593, 3490, 563, 26045, 2657, 20480, 912, 3080, 2460, 547, 2015, 950, 6313, 15345, 1122, 548, 779, 3310, 568, 519, 1761, 1764, 593, 519, 2790, 1134, 5630, 540, 922, 3755, 269, 12056, 538, 7391, 609, 21046, 2228, 666, 16616, 2043, 547, 513, 2647, 2039, 540, 2833, 267, 930, 540, 799, 949, 581, 2942, 610, 5739, 269, 15536, 24830, 267, 18275, 267, 543, 4598, 547, 8763, 1543, 616, 1175, 513, 1906, 1806, 540, 519, 1761, 4220, 3755, 3068, 593, 15345, 1122, 548, 269, 1452, 2833, 666, 723, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 11762, 1315, 2506, 12568, 1299, 26790, 1315, 14740, 543, 5617, 784, 532, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 9556, 2544, 476, 1015, 281, 634, 24090, 995, 2622, 540, 24434, 543, 9540, 24371, 4373, 265, 2608, 2608, 692, 25603, 6341, 543, 5981, 256, 1358, 1312, 723, 2462, 9909, 540, 6679, 909, 741, 1378, 8637, 910, 6341, 6499, 547, 6133, 8949, 19471, 12897, 267, 1247, 5981, 814, 2141, 1044, 13730, 827, 21338, 30158, 269, 1809, 4358, 513, 1870, 3884, 1405, 2653, 282, 972, 616, 1082, 9276, 899, 10519, 267, 5820, 267, 2645, 267, 543, 9441, 23269, 269, 2334, 779, 1141, 8492, 2097, 538, 13561, 2439, 289, 3471, 616, 2027, 4025, 602, 3180, 1004, 781, 2724, 543, 948, 873, 4383, 621, 20617, 269, 9894, 596, 917, 602, 8492, 666, 849, 1489, 1507, 4213, 1572, 590, 10933, 338, 630, 22102, 543, 23839, 9373, 1440, 2478, 264, 547, 1332, 286, 1452, 590, 10933, 338, 3565, 3648, 547, 938, 2197, 781, 4346, 269, 1717, 267, 3006, 3478, 513, 10211, 666, 581, 4101, 585, 873, 269, 2913, 781, 3605, 875, 8492, 543, 590, 10933, 338, 960, 1927, 543, 1451, 930, 3579, 1007, 2035, 2059, 519, 1259, 2439, 1262, 4089, 476, 272, 281, 8490, 16200, 22627, 4373, 5331, 952, 1169, 942, 596, 4941, 1945, 6653, 267, 596, 1185, 547, 979, 547, 1114, 536, 6033, 625, 1472, 4884, 1175, 1317, 789, 4769, 1405, 3972, 1142, 824, 269, 16319, 9688, 532, 267, 1318, 286, 3767, 5372, 1346, 536, 6033, 625, 609, 8492, 543, 4952, 2348, 547, 6467, 1063, 2789, 8492, 585, 1585, 2533, 269, 3502, 1187, 693, 782, 2439, 6546, 779, 1946, 2679, 2178, 4296, 1063, 8492, 543, 590, 10933, 338, 568, 1898, 269, 1879, 513, 4871, 6238, 2324, 609, 513, 2754, 2038, 593, 267, 789, 1174, 922, 3853, 267, 6075, 3490, 267, 1256, 519, 1297, 540, 5520, 269, 6056, 540, 713, 2078, 899, 1655, 2828, 4687, 11580, 1107, 855, 3079, 540, 11580, 267, 621, 781, 1344, 827, 519, 1870, 256, 1635, 6616, 811, 827, 519, 590, 10933, 267, 8492, 666, 2709, 1732, 9388, 543, 2472, 14018, 4481, 547, 741, 2115, 780, 2690, 1383, 267, 950, 6341, 16976, 547, 1930, 1200, 23739, 4558, 267, 1352, 23297, 513, 2199, 4871, 1352, 7959, 6899, 609, 269, 3683, 942, 267, 519, 4871, 17358, 6341, 781, 1870, 2203, 267, 1200, 27606, 267, 543, 2591, 269, 1924, 267, 8164, 6341, 11394, 2883, 6351, 267, 971, 607, 9750, 1200, 6300, 610, 9140, 1007, 3937, 267, 519, 4871, 786, 581, 5432, 609, 1200, 3510, 543, 1683, 5363, 3435, 3533, 780, 1262, 4089, 476, 273, 281, 28518, 15894, 10290, 1465, 4373, 3086, 1577, 781, 2911, 827, 1018, 2306, 2576, 14718, 585, 513, 10211, 269, 2290, 1883, 3815, 568, 17258, 267, 799, 1797, 6029, 5539, 2509, 23231, 906, 269, 3807, 899, 3610, 2638, 707, 6780, 1354, 4758, 596, 513, 1449, 267, 8492, 1413, 883, 707, 2250, 8852, 267, 1634, 607, 707, 968, 920, 9016, 1686, 2223, 547, 1294, 2436, 596, 4312, 6976, 1394, 3105, 12029, 29367, 269, 1403, 865, 267, 789, 2015, 596, 5491, 18976, 2439, 4913, 267, 10442, 5491, 10290, 1465, 666, 1831, 16602, 950, 7231, 609, 1007, 4213, 899, 5981, 781, 11332, 7816, 6300, 2094, 789, 1522, 711, 723, 1454, 5491, 1686, 2943, 269, 1677, 10994, 713, 3390, 267, 8492, 991, 547, 1589, 21176, 543, 1020, 4244, 2409, 540, 12570, 1981, 543, 1761, 1967, 269, 12344, 789, 1223, 4983, 2147, 3964, 4213, 610, 2263, 2189, 4485, 547, 2327, 3743, 23831, 3664, 780, 3528, 1620, 891, 2035, 267, 649, 8275, 875, 4105, 8492, 616, 538, 4543, 590, 10933, 338, 8853, 269, 1656, 3314, 267, 14693, 9358, 949, 2196, 707, 1360, 1378, 590, 10933, 1932, 256, 13773, 22934, 607, 649, 3136, 3695, 4241, 3344, 540, 8492, 543, 3059, 12948, 2429, 713, 9074, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2691, 621, 2501, 547, 519, 2804, 2208, 540, 938, 2197, 267, 590, 10933, 338, 1404, 606, 1271, 1909, 538, 621, 269, 9747, 267, 891, 4213, 1590, 581, 3144, 1416, 540, 676, 741, 18083, 269, 590, 10933, 338, 849, 1404, 606, 1271, 1909, 538, 1373, 835, 540, 519, 1034, 10121, 5561, 540, 519, 12948, 5823, 269, 4634, 1498, 789, 616, 1271, 267, 590, 10933, 338, 1205, 12029, 609, 1390, 7411, 269, 589, 4871, 1058, 581, 2111, 547, 1265, 5499, 2081, 538, 799, 621, 666, 22937, 590, 10933, 338, 563, 30395, 20556, 609, 590, 10933, 338, 7216, 454, 306, 10933, 338, 1745, 6899, 543, 2356, 6529, 609, 519, 8492, 789, 2907, 723, 606, 2272, 609, 269, 1306, 741, 1870, 9428, 267, 789, 2119, 547, 1847, 547, 1776, 4871, 799, 666, 1711, 513, 1966, 269, 24434, 1058, 2119, 547, 1628, 3347, 609, 891, 3549, 607, 2038, 607, 2009, 269, 898, 568, 4443, 585, 519, 8492, 547, 1832, 513, 3950, 540, 741, 5491, 12773, 267, 519, 3077, 5304, 267, 519, 1297, 540, 5520, 267, 3092, 269, 901, 849, 2337, 519, 4871, 547, 8597, 547, 1978, 2127, 538, 799, 519, 590, 10933, 338, 616, 2519, 593, 563, 305, 1168, 1251, 593, 519, 28946, 2225, 540, 519, 645, 6563, 518, 454, 763, 8492, 2356, 1445, 593, 519, 5491, 12773, 540, 519, 10210, 518, 1759, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 24434, 1299, 30914, 1315, 7913, 30914, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 5122, 11443, 543, 8060, 1369, 519, 2796, 540, 2203, 16456, 532, 267, 5373, 4296, 547, 3140, 2853, 1247, 6220, 2413, 7760, 543, 2553, 269, 3414, 3695, 1585, 3344, 540, 2203, 16456, 5547, 787, 267, 649, 786, 3986, 938, 1620, 540, 6626, 3741, 10858, 547, 3875, 12348, 543, 4610, 780, 1262, 296, 269, 9978, 14362, 540, 24542, 543, 27989, 4373, 6524, 11362, 883, 1808, 3156, 538, 2203, 16456, 532, 267, 621, 568, 1898, 547, 3715, 13654, 1702, 827, 5201, 543, 11387, 269, 589, 6806, 8520, 998, 799, 3167, 5279, 666, 2095, 11179, 13054, 606, 5122, 5547, 269, 6206, 3334, 1331, 6453, 630, 19491, 668, 12067, 3196, 1070, 4187, 267, 543, 1699, 269, 7937, 332, 781, 4521, 9598, 919, 602, 1699, 11224, 6453, 5258, 676, 4187, 269, 4197, 891, 17950, 6087, 2500, 1374, 543, 6388, 540, 1852, 1949, 585, 2203, 14884, 780, 1262, 2862, 269, 5295, 4675, 15533, 585, 7844, 3004, 1231, 4373, 20175, 7727, 6460, 20367, 1699, 630, 3722, 264, 610, 1463, 1699, 630, 17584, 264, 689, 7622, 19093, 883, 26729, 28696, 585, 1379, 532, 2203, 5721, 2981, 619, 269, 17992, 619, 2569, 1164, 19581, 5653, 8028, 547, 10930, 2157, 5078, 585, 1970, 19581, 5653, 9823, 16546, 4122, 1031, 538, 744, 3766, 879, 613, 543, 4130, 10253, 269, 7073, 6467, 2173, 1712, 1379, 7727, 2709, 4824, 1648, 4398, 3379, 547, 2757, 5276, 6272, 269, 1358, 849, 1683, 28253, 3977, 6453, 543, 2110, 2275, 1844, 3726, 4027, 2934, 6225, 585, 6946, 29282, 14053, 5730, 1852, 780, 1262, 7656, 269, 6034, 7351, 5288, 7913, 16710, 6513, 4373, 9199, 3431, 267, 2203, 14884, 6964, 2241, 9823, 5179, 1852, 2409, 1141, 8701, 640, 30729, 12012, 4287, 543, 8795, 6453, 6417, 3432, 269, 1717, 267, 3059, 4971, 1852, 630, 291, 6717, 264, 814, 19117, 2203, 16456, 532, 676, 7175, 1367, 2232, 762, 1232, 18344, 13365, 8704, 1369, 21525, 582, 1161, 269, 1452, 1232, 617, 619, 4612, 1239, 21168, 2366, 3842, 519, 986, 2812, 267, 9013, 3252, 899, 8654, 2360, 267, 3280, 267, 543, 10231, 10446, 269, 901, 1377, 540, 30704, 640, 20546, 525, 1018, 1223, 581, 6913, 1210, 6671, 12746, 2409, 780, 1262, 4353, 269, 16530, 9828, 543, 7454, 13756, 4373, 19187, 5911, 2359, 5849, 6325, 5106, 543, 29776, 30076, 950, 2152, 8451, 269, 22982, 18843, 539, 7601, 5911, 3079, 540, 4396, 4295, 1813, 547, 922, 8112, 543, 15006, 269, 3828, 626, 2789, 18364, 8424, 1927, 547, 11574, 13590, 13779, 269, 14146, 1668, 12904, 547, 15814, 1379, 2066, 1804, 29282, 7561, 269, 17115, 8524, 28339, 543, 10943, 823, 2798, 585, 4191, 540, 14809, 610, 3441, 267, 5466, 1022, 4145, 16425, 780, 1262, 309, 269, 7457, 1559, 543, 20233, 719, 31786, 4373, 19741, 4412, 2454, 14884, 1472, 13475, 267, 1134, 27059, 2203, 16749, 1305, 5725, 6451, 1569, 800, 2609, 13324, 3842, 3606, 29650, 4839, 4221, 1055, 1292, 3761, 3515, 269, 5871, 17960, 1331, 8265, 22311, 267, 5365, 8279, 267, 2679, 954, 12542, 267, 543, 15385, 19235, 269, 3962, 3693, 3340, 6297, 7156, 3823, 6453, 6749, 267, 18041, 13369, 267, 543, 17356, 609, 11105, 3457, 269, 6684, 267, 19355, 26149, 10597, 21599, 267, 26089, 3617, 20856, 675, 5542, 267, 17935, 267, 543, 3897, 2719, 1852, 780, 1262, 9654, 269, 11628, 11762, 281, 28290, 543, 3955, 325, 5217, 4373, 20663, 1242, 12957, 2636, 1950, 9696, 547, 14892, 8850, 267, 1863, 532, 12427, 547, 1445, 593, 18399, 2864, 982, 32462, 8261, 4247, 269, 1635, 10128, 29668, 619, 610, 2582, 1532, 13635, 5904, 899, 20798, 610, 30722, 13100, 267, 2688, 20072, 666, 4383, 15202, 267, 23332, 267, 14318, 267, 543, 1256, 29278, 5872, 269, 3958, 267, 17103, 2291, 585, 5007, 2792, 1063, 3631, 543, 21438, 7006, 2255, 7740, 267, 28043, 2168, 10616, 1063, 12439, 29050, 14335, 3838, 10600, 780, 1103, 3932, 267, 13215, 5122, 11443, 543, 8060, 538, 2203, 16456, 532, 7569, 1312, 7811, 8223, 543, 4052, 3498, 540, 4909, 3621, 3741, 269, 1306, 2029, 8441, 267, 865, 1932, 798, 3255, 585, 5647, 1369, 713, 9159, 15908, 269, 6787, 596, 29954, 790, 547, 4739, 23939, 10853, 18187, 553, 610, 7903, 6302, 998, 17634, 267, 11439, 609, 713, 1702, 3490, 267, 707, 3460, 14767, 547, 581, 14785, 543, 24084, 2287, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17138, 281, 8330, 15929, 12267, 267, 2904, 267, 476, 4350, 272, 454, 29394, 281, 16452, 645, 919, 454, 3725, 3161, 4266, 281, 5437, 476, 2537, 267, 476, 1220, 280, 1496, 324, 9349, 1948, 25134, 3953, 2639, 7197, 5063, 8242, 281, 5181, 476, 1015, 267, 476, 1001, 276, 454, 290, 1042, 1080, 281, 21277, 1027, 676, 590, 1678, 541, 6250, 9774, 11936, 267, 15535, 1284, 4060, 267, 543, 519, 6732, 454, 18850, 30744, 19577, 15105, 12243, 693, 5291, 2517, 4178, 4877, 326, 31389, 14492, 454, 310, 269, 631, 269, 595, 6369, 312, 307, 2177, 267, 21629, 670, 2752, 23802, 645, 2969, 2464, 267, 15503, 19010, 269, 667, 5495, 21923, 3008, 631, 269, 667, 5357, 291, 267, 31173, 15503, 454, 6546, 519, 2984, 972, 514, 616, 2973, 267, 4277, 267, 12667, 267, 676, 3056, 5830, 540, 519, 1554, 543, 12349, 896, 2175, 9516, 676, 519, 22439, 262, 13477, 540, 3013, 3248, 6546, 971, 17476, 616, 14475, 538, 5742, 15945, 676, 1977, 960, 5443, 3248, 6546, 1142, 3377, 1372, 29993 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17782, 519, 1942, 540, 4881, 513, 1788, 568, 1898, 547, 922, 1967, 269, 9453, 6325, 1942, 20327, 267, 596, 949, 1265, 3054, 538, 519, 2699, 610, 7508, 856, 593, 1761, 9806, 269, 1924, 267, 875, 798, 596, 5173, 519, 1318, 1942, 20327, 286, 901, 10700, 3391, 786, 1683, 596, 609, 513, 1900, 8386, 9912, 3391, 547, 1942, 21501, 2533, 543, 1818, 2386, 602, 707, 1788, 3788, 593, 6578, 563, 7072, 547, 8779, 5741, 687, 454, 12179, 1870, 8227, 786, 2995, 596, 602, 835, 540, 519, 1034, 1271, 3344, 540, 4881, 513, 3811, 5106, 568, 6616, 707, 2338, 269, 901, 568, 2523, 3020, 950, 621, 2501, 547, 1942, 20327, 563, 289, 644, 1326, 21501, 2533, 616, 606, 1898, 1907, 585, 1022, 1870, 8227, 610, 9614, 269, 1358, 1683, 5813, 883, 1018, 513, 1788, 786, 1942, 543, 948, 596, 1118, 5483, 3664, 827, 875, 547, 21138, 707, 2200, 563, 17730, 4977, 1942, 20327, 666, 581, 513, 4161, 267, 855, 609, 513, 1906, 2241, 3268, 267, 596, 666, 1020, 513, 1062, 602, 1568, 585, 707, 1870, 269, 3371, 779, 513, 1900, 8386, 9912, 3391, 547, 12719, 1942, 21501, 20327, 912, 268, 16294, 519, 9165, 540, 707, 1788, 269, 1548, 616, 519, 6859, 286, 5548, 1853, 1963, 281, 1018, 616, 789, 286, 1548, 616, 519, 28868, 286, 18833, 519, 4267, 547, 891, 2055, 786, 948, 596, 1711, 811, 4977, 1942, 21501, 2533, 563, 268, 10576, 782, 540, 519, 2200, 602, 786, 581, 2838, 547, 2347, 519, 1788, 269, 901, 2882, 2326, 267, 4074, 267, 3937, 267, 3092, 269, 5269, 2386, 547, 1331, 1312, 1463, 543, 9940, 3790, 538, 707, 2079, 563, 268, 3763, 9193, 585, 1142, 1942, 6221, 269, 901, 1900, 3340, 930, 1382, 543, 1995, 269, 1411, 949, 991, 547, 5077, 609, 4966, 610, 2689, 3140, 1239, 547, 2097, 909, 609, 10853, 5515, 563, 268, 8073, 20314, 1890, 4566, 269, 3143, 2339, 875, 1134, 596, 1544, 267, 972, 786, 2141, 581, 930, 10462, 950, 621, 2501, 547, 3790, 269, 12706, 930, 8112, 883, 707, 6578, 676, 2870, 20314, 1890, 4566, 585, 6397, 9276, 563, 268, 25397, 4890, 3790, 607, 519, 1788, 3356, 543, 5635, 873, 1996, 707, 20327, 269, 901, 786, 948, 454, 32575, 543, 6480, 26305, 26959, 454, 2026, 609, 1022, 1870, 14679, 267, 621, 568, 1271, 547, 723, 513, 2312, 1620, 540, 519, 3790, 2404, 609, 707, 1788, 269, 901, 786, 1450, 596, 547, 1711, 4977, 1942, 20327, 543, 2057, 1022, 562, 7360, 26208, 1524, 519, 1899, 563, 2467, 616, 513, 1297, 540, 1114, 3790, 602, 596, 991, 547, 1491, 883, 2272, 950, 4058, 513, 1788, 267, 1519, 912, 268, 10049, 543, 4074, 281, 901, 568, 5310, 519, 1034, 6654, 1942, 21501, 2533, 543, 786, 4268, 4470, 593, 519, 2450, 543, 9165, 540, 707, 1788, 269, 5269, 2386, 547, 1205, 10530, 689, 2789, 14273, 547, 2327, 596, 616, 3478, 519, 1655, 4308, 563, 268, 3683, 21650, 281, 1452, 616, 519, 3790, 602, 616, 711, 2047, 1644, 547, 1570, 1491, 4752, 610, 4074, 267, 971, 607, 10519, 267, 6142, 267, 20848, 267, 3092, 269, 1358, 666, 1419, 581, 16618, 827, 855, 991, 547, 581, 1249, 1819, 883, 707, 9273, 563, 268, 5685, 3496, 281, 1403, 596, 616, 2921, 856, 513, 10211, 547, 2508, 707, 1788, 267, 1287, 596, 991, 547, 3815, 538, 519, 1719, 11033, 2059, 609, 1022, 824, 12375, 2404, 609, 24228, 2724, 563, 268, 12525, 525, 281, 13689, 593, 1141, 707, 1788, 568, 4092, 267, 972, 949, 581, 1114, 9204, 602, 991, 547, 581, 6976, 269, 5269, 2386, 596, 616, 3222, 540, 782, 4143, 9204, 543, 3815, 873, 883, 707, 6578, 563, 268, 18983, 1080, 543, 27121, 281, 1703, 949, 581, 1978, 14998, 610, 27121, 2838, 538, 1931, 547, 4163, 856, 707, 1788, 269, 1452, 666, 3006, 581, 14427, 865, 1118, 2386, 547, 3815, 873, 883, 707, 6578, 607, 1134, 563, 15612, 908, 519, 11192, 8779, 540, 513, 5741, 454, 2414, 5173, 519, 2698, 1942, 540, 513, 1788, 267, 596, 991, 547, 2015, 782, 540, 519, 3790, 2404, 609, 519, 1788, 267, 1519, 2326, 267, 4074, 267, 16841, 267, 543, 1022, 824, 9940, 3790, 269, 4495, 596, 723, 782, 540, 519, 2556, 1344, 267, 596, 666, 946, 513, 2241, 4542, 547, 5173, 519, 2698, 1942, 563, 763, 2698, 1942, 540, 513, 1788, 568, 3160, 547, 519, 2040, 540, 782, 1463, 3790, 7132, 782, 9940, 3790, 269, 6034, 3790, 616, 1346, 602, 616, 2047, 2404, 609, 519, 1788, 267, 971, 607, 2326, 543, 4074, 269, 1473, 1311, 3790, 616, 1346, 602, 616, 711, 2047, 2404, 609, 519, 1788, 855, 1869, 991, 547, 581, 2808, 267, 971, 607, 16841, 610, 10519, 563, 2414, 5173, 519, 2698, 1942, 540, 513, 1788, 267, 3274, 1039, 909, 782, 540, 519, 1463, 3790, 543, 9940, 3790, 269, 634, 3803, 2626, 786, 2285, 596, 519, 2698, 1942, 540, 519, 1788, 563, 22860, 4506, 519, 4578, 1299, 10435, 17797, 906, 454, 10574, 2079, 568, 513, 2565, 1900, 538, 1022, 1942, 16879, 269, 634, 1101, 1900, 568, 547, 2697, 519, 1239, 596, 991, 543, 1287, 10891, 621, 538, 513, 1259, 602, 2306, 2631, 585, 707, 1870, 269, 4495, 596, 723, 707, 1239, 6896, 267, 596, 666, 2253, 547, 5659, 621, 543, 1413, 585, 3466, 563, 5629, 596, 723, 4857, 3466, 538, 707, 1239, 267, 596, 666, 1376, 547, 1118, 11941, 547, 707, 20327, 269, 901, 949, 4125, 4946, 610, 9427, 1978, 3790, 267, 4657, 519, 1259, 596, 5173, 1978, 3790, 267, 610, 4376, 3116, 602, 786, 948, 2087, 6111, 269, 634, 3804, 568, 547, 2141, 581, 5355, 707, 16879, 2409, 865, 602, 596, 666, 811, 8308, 3589, 2104, 3790, 563, 17730, 606, 6452, 23847, 8779, 5741, 542, 7797, 454, 2304, 4977, 1942, 16879, 1867, 568, 2565, 547, 519, 1967, 540, 1022, 1870, 269, 6787, 596, 2461, 3168, 547, 5150, 7616, 610, 3274, 1616, 547, 1832, 3950, 540, 707, 2754, 779, 2883, 1072, 267, 513, 1942, 16879, 1867, 666, 2285, 596, 519, 4030, 596, 991, 563, 17730, 513, 1942, 16879, 1867, 949, 3100, 899, 513, 18447, 4305, 267, 855, 609, 513, 2370, 4058, 543, 3007, 547, 1469, 267, 621, 666, 581, 5266, 2653, 269, 3371, 779, 513, 1900, 8386, 9912, 3391, 547, 948, 596, 1205, 3323, 912, 272, 269, 5700, 2659, 18786, 8672, 454, 6524, 596, 666, 2253, 2870, 707, 1942, 16879, 1867, 267, 596, 991, 547, 917, 707, 4358, 1448, 269, 901, 1797, 2348, 513, 2312, 1620, 540, 707, 1699, 3790, 267, 1312, 6378, 543, 4756, 269, 4495, 596, 723, 713, 1344, 267, 596, 666, 2253, 21501, 2104, 3790, 563, 273, 269, 14419, 1548, 779, 21744, 454, 5629, 596, 917, 707, 4358, 1448, 267, 621, 779, 942, 547, 3313, 1018, 267, 952, 4376, 267, 568, 4657, 538, 707, 1870, 602, 1223, 1764, 707, 3790, 269, 901, 1223, 1331, 1919, 899, 1007, 1587, 31782, 267, 9750, 883, 1007, 6990, 267, 610, 17849, 3606, 5234, 269, 1635, 2921, 891, 2242, 883, 2272, 267, 596, 666, 811, 8308, 7447, 707, 2104, 3790, 563, 274, 269, 2422, 8466, 4578, 454, 2252, 713, 3884, 1406, 707, 1101, 1942, 16879, 1867, 267, 1287, 8458, 616, 596, 723, 930, 3140, 1239, 547, 960, 609, 269, 901, 1239, 666, 581, 5393, 5363, 538, 21501, 2104, 3790, 607, 621, 666, 1683, 3466, 543, 3270, 602, 949, 711, 581, 5612, 6654, 269, 1717, 267, 621, 779, 1271, 547, 3314, 602, 2250, 1239, 568, 711, 2141, 22566, 540, 2104, 3466, 267, 865, 946, 621, 607, 454, 8448, 11790, 1677, 6333, 1879, 29626, 26959, 454, 2467, 616, 513, 1906, 824, 1271, 1919, 547, 2015, 950, 12719, 1942, 20327, 912, 268, 634, 1826, 540, 1788, 281, 1772, 621, 513, 835, 6066, 1788, 610, 606, 5571, 1788, 286, 2290, 6066, 3785, 3622, 723, 2362, 909, 12506, 3790, 855, 2539, 1279, 3856, 3790, 269, 744, 32054, 3785, 3622, 723, 2539, 909, 12506, 3790, 855, 2362, 1279, 3856, 3790, 563, 268, 634, 9165, 540, 519, 1788, 281, 1215, 2462, 568, 519, 1788, 286, 1548, 568, 922, 9165, 286, 634, 3677, 543, 811, 1950, 519, 1788, 267, 519, 2362, 519, 3790, 786, 581, 563, 268, 634, 15415, 540, 519, 1788, 281, 1215, 1279, 786, 519, 1788, 1491, 547, 2347, 286, 18768, 609, 10156, 28868, 3622, 723, 2362, 3790, 982, 1346, 609, 3476, 28868, 563, 268, 634, 4087, 540, 519, 1788, 281, 7316, 786, 519, 1788, 581, 4092, 286, 18768, 538, 6753, 609, 2362, 3790, 540, 2713, 786, 3622, 723, 2362, 3790, 982, 1346, 538, 6753, 609, 2539, 3790, 540, 2713, 563, 268, 634, 2319, 2450, 281, 1215, 1082, 1004, 786, 581, 2324, 593, 519, 1788, 286, 634, 3677, 519, 2319, 267, 519, 2362, 519, 3790, 786, 581, 563, 21798, 21501, 2533, 616, 606, 1898, 851, 540, 1022, 1870, 269, 1358, 1683, 519, 4493, 585, 22343, 267, 20925, 267, 543, 4058, 269, 901, 2376, 814, 3177, 513, 3102, 1900, 8386, 9912, 3391, 547, 948, 596, 1174, 875, 547, 5173, 1942, 20327, 585, 707, 1788, 610, 23492, 2856, 269, 2060, 513, 1434, 1620, 540, 519, 1184, 543, 922, 3334, 267, 596, 666, 1118, 811, 4977, 9193, 593, 1942, 20327, 799, 786, 2285, 707, 3785, 1732, 8458, 693, 1967, 538, 519, 2104, 563, 5415, 3877, 281, 14716, 2754, 6142, 2956, 543, 15147, 720, 0, 16391, 545, 12202, 666, 2901, 581, 513, 8748, 15908, 267, 855, 849, 14331, 607, 1134, 269, 634, 1739, 5796, 786, 948, 596, 547, 1831, 513, 5260, 344, 5214, 32529, 563, 16605, 707, 2645, 2673, 693, 1688, 547, 1118, 519, 1034, 540, 707, 12202, 942, 563, 13014, 2386, 596, 960, 538, 707, 4677, 269, 5213, 1406, 3653, 707, 942, 10478, 585, 4503, 2645, 269, 16259, 782, 540, 707, 2645, 1991, 547, 2324, 538, 519, 4677, 267, 543, 1287, 2322, 873, 1394, 538, 741, 1747, 950, 2944, 269, 1411, 666, 946, 513, 1907, 12966, 267, 610, 3442, 27890, 602, 2270, 1896, 1804, 22836, 563, 1103, 341, 9876, 519, 2898, 1920, 538, 707, 12202, 15908, 282, 1453, 1265, 3395, 1919, 547, 581, 1360, 4277, 269, 25052, 616, 513, 8748, 1747, 585, 3214, 547, 1451, 267, 543, 2324, 2427, 676, 2427, 609, 873, 666, 7794, 519, 6125, 602, 596, 723, 563, 303, 710, 666, 581, 513, 19599, 1434, 2707, 540, 22890, 269, 15147, 707, 15135, 609, 519, 19271, 267, 543, 789, 786, 771, 704, 572, 23639, 547, 519, 3037, 2630, 607, 789, 31693, 563, 290, 4752, 2465, 12406, 616, 513, 1390, 6404, 538, 609, 707, 3037, 5861, 4752, 2465, 12406, 1039, 1082, 9436, 748, 5567, 547, 519, 3037, 602, 2371, 666, 946, 563, 2252, 596, 723, 513, 1164, 10862, 585, 6940, 538, 707, 5214, 12202, 267, 2119, 6028, 513, 7944, 540, 519, 3959, 3768, 324, 975, 539, 607, 513, 9910, 7320, 9675, 269, 2290, 2427, 1198, 540, 713, 568, 602, 1141, 2831, 8853, 267, 865, 798, 5017, 543, 7786, 602, 948, 20741, 543, 3542, 3729, 2371, 267, 799, 786, 2333, 519, 2298, 540, 707, 4677, 563, 8196, 513, 27445, 11127, 547, 948, 596, 2445, 3132, 689, 707, 3132, 269, 634, 27445, 11127, 786, 1599, 607, 513, 897, 6387, 585, 519, 5613, 543, 5388, 563, 5278, 1455, 1806, 616, 4620, 684, 5362, 543, 4620, 684, 5362, 269, 1403, 596, 2461, 711, 2386, 952, 707, 5452, 991, 7943, 267, 2119, 547, 1224, 519, 10189, 610, 1265, 519, 2626, 2228, 563, 293, 650, 519, 20220, 609, 14420, 547, 606, 10759, 2539, 982, 519, 20220, 779, 1283, 269, 590, 1663, 7714, 616, 13631, 676, 519, 14420, 543, 4465, 1406, 581, 2111, 547, 14827, 519, 8708, 563, 16605, 519, 2837, 538, 707, 1753, 1063, 476, 4792, 543, 476, 4037, 5232, 18278, 267, 952, 596, 616, 5329, 610, 3395, 1022, 2186, 540, 2030, 538, 707, 2777, 269, 634, 2837, 2115, 547, 2611, 3636, 865, 789, 949, 1332, 269, 1403, 596, 1810, 1406, 899, 5329, 707, 1753, 602, 2837, 538, 519, 5162, 267, 596, 949, 6999, 547, 2015, 3478, 513, 3002, 17689, 267, 3079, 267, 547, 1832, 707, 5214, 2371, 519, 2953, 2837, 563, 2252, 596, 6133, 610, 946, 1418, 1227, 6738, 3132, 538, 513, 5010, 4259, 267, 596, 1058, 1205, 606, 5214, 4677, 14468, 13021, 269, 901, 666, 5818, 6455, 543, 2995, 10121, 5561, 602, 789, 616, 3478, 519, 1655, 547, 873, 563, 4407, 5214, 12202, 3790, 811, 543, 3340, 811, 4674, 267, 519, 12587, 616, 1454, 1732, 269, 2755, 3114, 2861, 12202, 2472, 1118, 12050, 6811, 267, 3395, 1418, 1227, 568, 519, 1034, 14785, 4781, 585, 596, 543, 1346, 945, 8532, 707, 7031, 563, 11754, 22890, 547, 1832, 707, 4677, 547, 2087, 519, 21755, 540, 519, 3037, 269, 25109, 577, 786, 2149 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 10380, 540, 2413, 2473, 7304, 599, 3937, 269, 9093, 543, 2021, 540, 782, 14797, 543, 10764, 3357, 1927, 538, 513, 1390, 4674, 547, 13468, 19210, 543, 7092, 269, 769, 606, 2085, 1354, 2564, 7239, 3357, 547, 581, 7608, 607, 519, 2343, 267, 519, 11233, 3177, 513, 1390, 3028, 585, 3638, 543, 4057, 7567, 269, 769, 476, 3707, 271, 519, 4860, 269, 9045, 23025, 729, 835, 540, 519, 27428, 540, 519, 14886, 540, 519, 590, 1157, 5948, 630, 293, 20166, 2529, 6993, 264, 799, 1869, 6818, 2221, 563, 763, 4144, 665, 3150, 3222, 540, 922, 9021, 543, 3222, 540, 519, 1390, 1514, 543, 1570, 10575, 3424, 618, 799, 1185, 3144, 1747, 538, 519, 4095, 2146, 936, 519, 2250, 32210, 1296, 267, 5293, 513, 22375, 630, 16898, 476, 1556, 540, 476, 3707, 277, 264, 799, 8754, 1721, 628, 5116, 519, 7245, 540, 519, 6413, 896, 513, 21398, 19181, 540, 10790, 2793, 294, 30121, 269, 901, 4604, 15538, 540, 476, 1321, 2818, 267, 3670, 540, 7247, 941, 11221, 676, 519, 14271, 617, 543, 519, 6967, 3670, 1131, 581, 11221, 676, 519, 5442, 14888, 3198, 631, 19075, 590, 27263, 2975, 2464, 13138, 19851, 269, 634, 21674, 1131, 957, 608, 6815, 1470, 607, 30626, 610, 4244, 569, 267, 513, 3493, 14280, 30626, 12912, 676, 519, 21674, 1131, 1095, 728, 630, 520, 1459, 519, 681, 10725, 540, 853, 22707, 534, 779, 3474, 880, 1040, 634, 4095, 6481, 7896, 11565, 267, 3964, 593, 476, 2420, 5147, 476, 3707, 278, 543, 10805, 593, 476, 3066, 5181, 476, 3707, 278, 267, 6719, 519, 4690, 540, 519, 4095, 2146, 543, 729, 7768, 540, 7189, 267, 22278, 543, 7606, 689, 519, 22825, 269, 3220, 918, 8160, 269, 23268, 520, 729, 519, 1101, 30626, 540, 519, 11565, 543, 538, 713, 4390, 267, 646, 6394, 681, 4366, 476, 1822, 689, 519, 4095, 2146, 585, 519, 2034, 5123, 540, 519, 1646, 540, 519, 1007, 6413, 563, 288, 2264, 540, 519, 8650, 17732, 540, 22098, 267, 519, 8274, 540, 5004, 24389, 593, 513, 681, 10602, 476, 1822, 10872, 540, 7269, 269, 4438, 476, 3707, 279, 270, 5392, 4566, 941, 6192, 543, 538, 4864, 476, 3707, 280, 24909, 862, 10642, 269, 2201, 476, 2420, 5181, 476, 4198, 272, 519, 1007, 24909, 941, 13166, 8118, 676, 519, 12968, 269, 6004, 269, 631, 14371, 269, 2701, 335, 7723, 267, 8556, 15249, 540, 715, 7614, 269, 1635, 476, 4198, 273, 519, 6413, 1185, 22098, 585, 476, 1911, 15135, 269, 1879, 6192, 519, 3844, 2679, 7902, 607, 513, 13551, 609, 513, 1804, 3844, 4009, 607, 4677, 269, 634, 24909, 1185, 1942, 681, 4037, 476, 27868, 269, 2004, 543, 519, 715, 7614, 28393, 1017, 10029, 8329, 1079, 22188, 540, 519, 2698, 1942, 563, 1103, 2904, 476, 4198, 273, 7323, 700, 269, 2398, 3430, 543, 16700, 661, 269, 19134, 9788, 519, 5748, 6149, 540, 519, 853, 269, 19279, 779, 30989, 799, 7755, 334, 1441, 519, 6413, 269, 898, 568, 713, 4168, 2460, 799, 814, 2016, 853, 269, 22707, 534, 779, 5692, 922, 2027, 8984, 269, 634, 6413, 8098, 1080, 782, 14797, 607, 2550, 543, 18271, 3818, 268, 24055, 5234, 269, 898, 3091, 6703, 585, 519, 2866, 540, 11923, 269, 2311, 1459, 476, 14991, 2199, 7189, 543, 12665, 3643, 741, 2550, 693, 519, 6413, 269, 1703, 616, 1614, 2010, 540, 2550, 267, 2407, 13927, 1790, 11691, 267, 851, 13927, 1790, 11691, 543, 4557, 2600, 540, 519, 15135, 616, 11603, 585, 30724, 550, 2550, 269, 4438, 1142, 8717, 519, 6413, 814, 1193, 1508, 547, 2709, 519, 1034, 909, 3562, 15082, 6703, 543, 2550, 666, 581, 8383, 730, 538, 4357, 607, 1134, 607, 2489, 530, 1841, 269, 769, 476, 3422, 271, 519, 11233, 5185, 606, 7357, 1007, 1966, 7308, 6828, 19791, 2920, 267, 799, 10294, 519, 11233, 513, 968, 22492, 18630, 892, 543, 585, 1082, 1296, 519, 8274, 8179, 10479, 547, 22738, 2417, 968, 2169, 5014, 6100, 769, 476, 3422, 277, 519, 1007, 853, 22707, 534, 779, 5939, 729, 3710, 593, 513, 4729, 7755, 334, 1456, 519, 6413, 269, 1635, 476, 3192, 271, 950, 519, 715, 7614, 4095, 2551, 1185, 6603, 476, 4335, 476, 1822, 267, 2550, 22098, 1185, 6603, 8650, 17114, 855, 15335, 585, 11923, 729, 5310, 519, 1034, 14849, 10862, 563, 30631, 1302, 538, 476, 3192, 278, 519, 6413, 24389, 593, 513, 681, 276, 2929, 1788, 799, 1058, 581, 6192, 676, 476, 2735, 275, 269, 634, 4566, 267, 6537, 676, 519, 11629, 338, 267, 11619, 3464, 595, 269, 1325, 32024, 543, 16170, 5112, 616, 1034, 11141, 543, 960, 593, 519, 1788, 814, 5258, 883, 1614, 11775, 563, 4002, 476, 2190, 5437, 476, 3192, 279, 6004, 7671, 9410, 267, 631, 9950, 5861, 13166, 8118, 513, 1007, 10029, 13332, 267, 799, 3769, 513, 7006, 839, 776, 267, 10551, 8637, 267, 5753, 779, 20758, 267, 2271, 2400, 5516, 5149, 3092, 269, 2201, 476, 277, 5988, 476, 2735, 272, 6004, 9410, 8118, 513, 476, 1911, 5127, 12502, 525, 685, 5851, 543, 606, 7755, 334, 1456, 6796, 3625, 799, 16621, 11000, 11623, 267, 513, 18226, 4055, 543, 519, 23695, 8257, 269, 2201, 14349, 267, 476, 274, 5181, 476, 2735, 274, 267, 519, 21674, 267, 519, 681, 339, 269, 4860, 269, 7812, 25326, 2145, 267, 13166, 8118, 1007, 24909, 799, 3769, 267, 513, 1007, 20989, 13332, 267, 13880, 673, 654, 1841, 267, 631, 24471, 23267, 18740, 2672, 924, 543, 22410, 10162, 1682, 267, 8556, 13577, 5510, 1182, 543, 13675, 547, 519, 6413, 269, 2060, 519, 3791, 5123, 630, 560, 650, 538, 3356, 264, 519, 2832, 568, 547, 8831, 6413, 22098, 547, 476, 13301, 2550, 563, 1805, 22707, 534, 779, 17030, 11233, 13234, 607, 519, 4357, 6413, 585, 782, 891, 1296, 269, 769, 4989, 476, 1220, 275, 519, 11233, 729, 13166, 19942, 936, 547, 519, 918, 11445, 313, 21343, 9539, 7614, 4972, 540, 2657, 593, 513, 476, 1015, 1296, 25755, 563, 301, 289, 281, 1401, 1356, 14186, 540, 713, 1686, 941, 4562, 21242, 609, 519, 2186, 10479, 540, 519, 29842, 534, 5783, 779, 853, 22707, 534, 779, 17030, 3474, 880, 269, 0, 21801, 476, 6021, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 17208, 9120, 8473, 540, 519, 24924, 1756, 267, 519, 4102, 540, 519, 1614, 7633, 602, 19467, 547, 1106, 519, 15259, 1071, 343, 320, 267, 610, 12048, 5642, 269, 898, 568, 4092, 593, 519, 9120, 543, 14694, 6316, 540, 519, 24924, 1756, 1360, 2673, 547, 519, 2627, 540, 519, 2960, 538, 519, 12048, 3148, 269, 1879, 513, 1268, 4025, 741, 3946, 593, 741, 25637, 267, 621, 568, 519, 2960, 1657, 519, 476, 8270, 659, 30160, 602, 789, 1964, 741, 3946, 593, 269, 4924, 476, 1321, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 17208, 25170, 693, 519, 1283, 540, 519, 23856, 5642, 269, 898, 3029, 519, 7986, 5642, 540, 519, 12048, 269, 634, 476, 8270, 659, 5642, 30160, 568, 519, 26627, 25958, 6316, 540, 519, 24924, 1756, 267, 835, 540, 1614, 535, 4310, 7633, 267, 519, 24924, 1756, 267, 519, 568, 577, 1756, 267, 543, 519, 1435, 529, 267, 602, 1927, 1118, 909, 519, 10652, 6665, 269, 2986, 519, 1614, 23856, 7633, 267, 519, 24924, 1756, 568, 4586, 763, 476, 8270, 659, 30160, 568, 519, 17208, 25170, 693, 519, 1283, 540, 519, 23856, 5642, 269, 898, 3029, 519, 7986, 5642, 540, 519, 12048, 269, 634, 476, 8270, 659, 5642, 30160, 568, 519, 26627, 25958, 6316, 540, 519, 24924, 1756, 267, 835, 540, 1614, 535, 4310, 7633, 267, 519, 24924, 1756, 267, 519, 568, 577, 1756, 663, 519, 1435, 529, 267, 602, 1927, 1118, 909, 519, 10652, 6665, 563, 8170, 519, 1614, 23856, 7633, 267, 519, 24924, 1756, 568, 519, 4102, 269, 898, 814, 513, 2647, 267, 6366, 3337, 267, 543, 2337, 547, 2149, 519, 10347, 14159, 8219, 269, 634, 2178, 267, 17208, 6316, 540, 519, 24924, 1756, 602, 3029, 519, 476, 8270, 659, 30160, 3947, 4222, 547, 519, 2497, 540, 519, 10652, 6665, 269, 898, 568, 849, 606, 1271, 2497, 538, 2474, 540, 16757, 1489, 269, 11153, 1271, 12048, 267, 1394, 267, 543, 14159, 6091, 723, 741, 5169, 693, 713, 5642, 269, 634, 476, 8270, 659, 30160, 568, 513, 3226, 1271, 5642, 2497, 538, 4915, 267, 607, 621, 3568, 1804, 5666, 540, 5642, 20768, 563, 2005, 568, 1419, 1031, 607, 513, 2707, 540, 2699, 5642, 20768, 2281, 543, 6565, 2281, 585, 5642, 20768, 13003, 5773, 269, 634, 476, 8270, 659, 5642, 30160, 568, 2356, 2808, 547, 581, 513, 10930, 1747, 547, 7556, 5642, 20768, 689, 982, 519, 31175, 538, 519, 12636, 563, 11101, 267, 519, 2298, 540, 519, 5642, 20768, 602, 666, 581, 13939, 689, 713, 5642, 568, 3622, 2808, 547, 581, 875, 547, 9062, 15821, 7215, 609, 23055, 513, 1360, 2147, 2298, 547, 11983, 5642, 20768, 563, 763, 1804, 2179, 540, 5642, 602, 2306, 909, 519, 476, 8270, 659, 5642, 30160, 568, 849, 3006, 1031, 607, 513, 2707, 585, 5642, 21910, 338, 563, 2005, 666, 1683, 267, 585, 1383, 267, 6190, 12531, 540, 5642, 585, 1082, 2010, 540, 11132, 16646, 6391, 269, 634, 476, 8270, 659, 30160, 17911, 3148, 267, 693, 519, 1394, 540, 519, 12048, 267, 2488, 3226, 1804, 12531, 540, 5642, 269, 594, 2993, 659, 30160, 6794, 267, 3006, 1572, 519, 476, 8270, 659, 30160, 1928, 6794, 267, 568, 513, 4524, 6353, 676, 20443, 2539, 1394, 1928, 269, 634, 1928, 949, 2049, 3226, 1310, 3635, 267, 610, 1310, 9361, 610, 7555, 538, 513, 1880, 2990, 585, 513, 1279, 942, 563, 5194, 10835, 602, 568, 4122, 4767, 609, 713, 6794, 568, 835, 476, 8270, 659, 5642, 30160, 1373, 2539, 982, 519, 824, 269, 634, 3597, 2014, 568, 1419, 606, 28332, 610, 14324, 24924, 2723, 29856, 30301, 6518, 568, 519, 30301, 602, 13462, 519, 476, 8270, 659, 5642, 30160, 547, 519, 12636, 269, 589, 17795, 949, 581, 2938, 538, 930, 2665, 540, 12048, 8194, 269, 1452, 18655, 616, 2356, 5701, 11122, 8271, 267, 543, 538, 513, 2635, 2937, 786, 2356, 12115, 6923, 267, 4352, 1928, 1852, 949, 581, 2556, 563, 296, 2993, 659, 5642, 30160, 18655, 616, 849, 12212, 2938, 607, 513, 28658, 538, 5642, 20768, 22881, 267, 1141, 20768, 814, 1044, 13939, 689, 519, 24924, 1756, 269, 9410, 7831, 3525, 1881, 11261, 281, 5988, 476, 1321, 267, 7490, 4283, 519, 1739, 3009, 15545, 8298, 514, 281, 1280, 326, 582, 10957, 888, 12914, 476, 1691, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 1034, 7986, 851, 540, 519, 24924, 1756, 267, 519, 4102, 540, 519, 1614, 7633, 602, 1118, 909, 519, 536, 3415, 10652, 6665, 610, 12048, 5642, 269, 898, 568, 519, 17208, 8191, 281, 2549, 7701, 4446, 22641, 269, 634, 476, 8270, 659, 30160, 568, 519, 24924, 1756, 779, 1283, 8473, 267, 519, 4102, 540, 519, 1614, 7633, 602, 1118, 909, 519, 10652, 6665, 269, 634, 24924, 1756, 5642, 814, 1079, 2694, 281, 519, 1560, 543, 519, 13617, 269, 1677, 1745, 707, 24924, 1756, 30160, 267, 2322, 707, 1688, 593, 269, 4119, 476, 1428, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 1858, 1141, 2895, 532, 7633, 1694, 593, 2901, 2427, 540, 707, 10652, 6665, 269, 1358, 1413, 10169, 899, 12209, 543, 8831, 547, 707, 25637, 543, 2539, 1394, 269, 634, 8191, 281, 667, 10005, 28243, 563, 4322, 5642, 21910, 338, 616, 1572, 1313, 690, 2761, 338, 543, 616, 1031, 5097, 547, 5372, 5642, 4503, 547, 5945, 610, 4576, 269, 24942, 21910, 338, 616, 1031, 538, 1082, 2694, 540, 519, 1560, 543, 5351, 538, 519, 7067, 540, 7633, 602, 723, 1044, 5762, 3293, 610, 7633, 602, 1705, 711, 1106, 5265, 693, 4332, 563, 763, 24924, 1756, 568, 519, 4102, 5642, 540, 519, 12048, 269, 898, 568, 1500, 909, 540, 513, 1318, 543, 513, 2451, 3368, 602, 1927, 1711, 519, 13617, 11057, 23856, 575, 2273, 548, 269, 634, 476, 8270, 659, 30160, 568, 519, 5580, 17208, 6712, 540, 1142, 2427, 540, 519, 24924, 1756, 269, 589, 1804, 2627, 1858, 2306, 519, 24924, 1756, 513, 15028, 3135, 585, 16276, 5642, 547, 581, 1031, 585, 606, 476, 8270, 659, 30160, 21910, 269, 24942, 19122, 689, 519, 24924, 1756, 568, 3638, 538, 2208, 2188, 543, 2281, 602, 12954, 5642, 2208, 269, 634, 476, 8270, 659, 30160, 21910, 666, 4196, 607, 513, 5943, 585, 1007, 5642, 2208, 1063, 1079, 4773, 540, 5642, 563, 294, 2761, 338, 689, 519, 476, 8270, 659, 30160, 666, 581, 17332, 1063, 1079, 31175, 950, 513, 11983, 12760, 568, 2556, 547, 24644, 519, 11983, 6241, 269, 1452, 21910, 338, 666, 849, 581, 1031, 547, 7816, 1579, 1111, 5493, 919, 267, 18655, 540, 1279, 7633, 602, 786, 711, 12115, 267, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2782, 16503, 3603, 267, 476, 277, 628, 5147, 267, 476, 4489, 279, 269, 834, 2080, 267, 538, 27859, 267, 1216, 568, 1272, 8487, 268, 834, 763, 674, 697, 585, 519, 12567, 540, 3798, 523, 257, 689, 519, 1433, 3509, 674, 1258, 1206, 454, 268, 834, 310, 15903, 538, 27859, 257, 689, 606, 4013, 1867, 676, 11683, 681, 4460, 5069, 25020, 269, 4329, 1344, 634, 3689, 2622, 2782, 267, 634, 2817, 19964, 2228, 14266, 563, 268, 27859, 15875, 2782, 631, 13952, 269, 23093, 4751, 476, 1240, 538, 519, 3126, 966, 7860, 540, 519, 3689, 2622, 2782, 269, 6987, 847, 338, 689, 7980, 6589, 267, 609, 513, 13973, 540, 519, 15264, 563, 268, 1496, 291, 10706, 21555, 316, 31924, 8361, 11829, 1575, 540, 476, 272, 270, 276, 628, 24900, 1215, 12688, 23996, 267, 9576, 12197, 3203, 20455, 729, 1459, 693, 519, 26362, 540, 918, 583, 269, 2817, 8136, 7467, 563, 268, 22307, 4536, 685, 12267, 281, 1496, 28398, 21555, 316, 17721, 5261, 20289, 540, 476, 272, 270, 276, 628, 15506, 30119, 634, 20873, 338, 630, 292, 770, 13573, 31118, 269, 1323, 2272, 540, 519, 3801, 547, 14867, 519, 14850, 773, 3022, 3703, 268, 24465, 4229, 693, 918, 583, 269, 22291, 3877, 540, 519, 23487, 995, 2175, 519, 20754, 28815, 1813, 547, 3668, 540, 2564, 6703, 269, 562, 600, 28482, 16896, 454, 268, 834, 289, 4861, 731, 1512, 13428, 572, 269, 1215, 1261, 667, 1221, 269, 1133, 342, 3128, 13135, 15349, 645, 4593, 7057, 2668, 2817, 5917, 11229, 630, 289, 987, 32231, 267, 29517, 264, 476, 2767, 8734, 476, 4489, 278, 8525, 476, 274, 7708, 557, 8542, 5055, 10993, 28898, 269, 25512, 731, 1512, 13428, 572, 540, 519, 21816, 17621, 3203, 20455, 23996, 5747, 4166, 1310, 519, 2887, 540, 918, 583, 563, 268, 22307, 4536, 262, 12267, 281, 11683, 6723, 23720, 24747, 518, 476, 280, 628, 717, 24642, 3873, 681, 604, 956, 267, 4465, 519, 15117, 9061, 1247, 15385, 519, 5211, 570, 580, 5142, 1282, 519, 5822, 11135, 540, 918, 583, 593, 476, 2537, 5988, 476, 4489, 278, 269, 562, 600, 28482, 16896, 563, 268, 19415, 547, 519, 476, 2735, 276, 5967, 609, 8361, 11977, 10374, 339, 15875, 2782, 631, 13952, 269, 3703, 11464, 945, 21821, 539, 693, 519, 12614, 540, 2112, 543, 6039, 607, 6481, 20229, 609, 519, 4095, 6481, 6796, 7923, 547, 476, 3451, 6113, 595, 10052, 787, 3204, 339, 538, 3127, 543, 27859, 267, 476, 4489, 275, 268, 4489, 279, 563, 268, 16452, 779, 590, 1938, 327, 3298, 676, 16452, 674, 1815, 8636, 737, 9820, 619, 29589, 2593, 2882, 454, 268, 634, 11135, 540, 10548, 14508, 281, 27859, 267, 476, 2767, 268, 3066, 5181, 476, 4489, 278, 454, 268, 918, 6324, 6017, 476, 4489, 280, 281, 13639, 15051, 538, 23104, 1014, 918, 6324, 6017, 281, 3162, 918, 6324, 6017, 267, 2904, 1700, 18907, 476, 4489, 280, 269, 22291, 1344, 827, 1082, 4095, 8136, 3204, 9323, 563, 268, 27859, 476, 4572, 271, 268, 2641, 14066, 2338, 540, 10136, 689, 3127, 941, 2366, 547, 4308, 609, 513, 27693, 538, 476, 4572, 271, 454, 268, 634, 4339, 547, 14867, 681, 6373, 603, 1695, 281, 589, 2673, 2196, 3364, 281, 27859, 267, 5147, 476, 4572, 271, 454, 268, 27859, 476, 4489, 278, 268, 4489, 279, 689, 476, 1839, 628, 6019, 540, 5507, 20676, 626, 15506, 30119, 281, 634, 5507, 31118, 454, 268, 834, 763, 23104, 1014, 13571, 256, 1306, 9866, 5703, 676, 31924, 29962, 11977, 16026, 267, 772, 2529, 269, 595, 10052, 787, 267, 476, 4489, 279, 2668, 14022, 528, 4728, 5025, 1440, 559, 476, 1220, 274, 267, 3817, 476, 1839, 268, 476, 3374, 269, 16814, 4528, 267, 7824, 454, 268, 3703, 268, 24465, 4640, 543, 3609, 538, 27859, 2433, 5437, 476, 4489, 275, 910, 4989, 476, 4489, 277, 676, 623, 918, 269, 16026, 267, 1912, 323, 19080, 3751, 781, 5441, 5507, 630, 17206, 540, 5507, 264, 476, 2735, 272, 269, 6599, 5308, 3703, 7732, 563, 268, 634, 23104, 1014, 22411, 281, 634, 3703, 15232, 538, 12925, 538, 519, 3689, 2622, 2782, 676, 18496, 623, 29336, 2073, 11683, 267, 2475, 13149, 17620, 267, 476, 1556, 5988, 476, 1960, 272, 269, 589, 1957, 4843, 547, 519, 20513, 540, 519, 25220, 2782, 5441, 269, 25201, 3820, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 4015, 563, 268, 834, 8072, 18744, 676, 519, 18156, 685, 281, 3703, 4831, 13001, 1231, 4026, 1890, 538, 12925, 267, 476, 4572, 271, 257, 676, 4460, 10496, 10849, 523, 3817, 476, 26825, 268, 3607, 274, 9540, 12668, 1299, 6184, 584, 2102, 2886, 11730, 476, 273, 267, 17136, 476, 273, 267, 4864, 476, 1960, 272, 269, 901, 4528, 568, 513, 6478, 11657, 4647, 799, 267, 4470, 593, 707, 11422, 267, 596, 949, 991, 547, 12398, 538, 707, 28085, 17835, 269, 2508, 1721, 6420, 523, 718, 625, 3820, 454, 268, 12925, 267, 476, 1220, 274, 268, 275, 543, 27859, 267, 476, 4489, 275, 268, 1240, 281, 589, 22414, 5811, 538, 661, 2738, 543, 31283, 676, 31924, 29962, 6276, 667, 2480, 644, 29800, 269, 476, 866, 4728, 476, 1220, 275, 269, 2475, 8136, 2782, 5441, 267, 2961, 5894, 548, 4446, 13715, 267, 13698, 269, 25201, 3820, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 14635, 563, 268, 634, 3703, 15232, 538, 12925, 689, 476, 4489, 275, 268, 4572, 277, 281, 1548, 27067, 2052, 634, 2136, 2276, 8571, 3245, 4706, 15232, 286, 676, 15623, 654, 269, 13879, 269, 589, 5098, 4843, 547, 519, 20513, 540, 519, 2475, 8136, 16710, 543, 4937, 16065, 5441, 10783, 2274, 13273, 10290, 267, 17857, 476, 1704, 4873, 476, 1220, 275, 269, 10395, 1441, 1488, 916, 3194, 7732, 7913, 7732, 269, 7824, 4647, 546, 6776, 6230, 559, 25201, 3820, 4528, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 14635, 563, 268, 834, 763, 3689, 2622, 2782, 23104, 1014, 22411, 338, 281, 13639, 16497, 593, 12925, 328, 16140, 2782, 11071, 257, 676, 962, 28907, 325, 2806, 9567, 7232, 928, 514, 267, 21864, 29362, 267, 642, 269, 476, 277, 267, 3390, 476, 277, 630, 18907, 476, 1220, 276, 1040, 2836, 327, 1735, 267, 519, 25220, 5403, 12392, 3427, 269, 8053, 699, 344, 267, 4993, 267, 7330, 267, 606, 4013, 772, 2529, 269, 13108, 3896, 563, 268, 834, 763, 3703, 20431, 566, 540, 27859, 267, 476, 4489, 275, 268, 4572, 273, 257, 676, 26701, 1014, 3213, 919, 21853, 5341, 11420, 269, 634, 4750, 540, 21864, 5525, 5292, 476, 1789, 269, 3143, 476, 273, 267, 476, 4097, 280, 268, 4391, 278, 267, 4989, 476, 1220, 278, 269, 24243, 12975, 454, 268, 834, 13981, 634, 10434, 10158, 281, 634, 4095, 8136, 769, 27859, 267, 476, 4489, 275, 268, 4489, 279, 257, 676, 3220, 26701, 1014, 3213, 919, 21853, 5341, 11420, 267, 7460, 300, 295, 14400, 10985, 476, 1001, 273, 1107, 4095, 14022, 625, 630, 763, 3703, 8189, 585, 13639, 3778, 536, 9492, 327, 3820, 16896, 267, 1631, 606, 2895, 1882, 2546, 8094, 268, 1280, 326, 13516, 5794, 8705, 281, 5794, 12741, 538, 519, 23104, 1014, 22411, 676, 8834, 808, 19681, 6975, 267, 476, 1220, 274, 9457, 540, 13639, 3203, 543, 3163, 19080, 267, 16710, 543, 4937, 16065, 5441, 630, 290, 14899, 290, 264, 10783, 2274, 13273, 10290, 267, 23794, 269, 10395, 1441, 1488, 916, 3194, 7732, 1496, 290, 2752, 299, 316, 7913, 7732, 269, 25201, 3820, 4528, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 4015, 563, 268, 595, 10052, 787, 540, 519, 1849, 10796, 281, 31834, 540, 519, 5794, 2782, 538, 519, 8109, 20989, 267, 4489, 275, 268, 4489, 279, 676, 595, 670, 269, 1733, 1856, 344, 476, 1960, 278, 269, 589, 5098, 11643, 538, 9864, 3505, 16667, 331, 618, 540, 519, 4170, 585, 519, 23422, 540, 9457, 540, 8551, 538, 3778, 538, 519, 2160, 540, 2052, 26248, 267, 1715, 10215, 269, 589, 7824, 4647, 267, 799, 4470, 593, 707, 11422, 267, 596, 949, 991, 547, 12398, 538, 707, 28085, 17835, 563, 268, 834, 763, 589, 15598, 769, 12182, 614, 1849, 1307, 281, 634, 5794, 2782, 3683, 634, 23104, 1014, 19164, 257, 676, 5794, 2155, 617, 648, 4460, 700, 1314, 269, 3487, 540, 519, 10554, 1635, 634, 1530, 520, 2986, 4256, 623, 1218, 634, 18619, 540, 519, 10985, 4371, 476, 1321, 5437, 476, 1001, 273, 693, 519, 681, 8150, 293, 7467, 267, 8672, 13648, 676, 13639, 3778, 1656, 11595, 15117, 563, 268, 9576, 5794, 10414, 8466, 5980, 4750, 476, 4366, 476, 1001, 271, 269, 16814, 4528, 267, 7824, 986, 325, 332, 5237, 3820, 16896, 269, 986, 325, 6230, 617, 16896, 4528, 269, 22291, 834, 18744, 589, 590, 1938, 6011, 286, 634, 681, 15598, 1656, 17241, 293, 769, 27859, 476, 4489, 275, 268, 4489, 279, 257, 676, 24053, 2782, 1676, 3817, 476, 280, 268, 866, 543, 834, 763, 17241, 293, 14022, 10696, 2961, 14992, 769, 12925, 630, 7197, 569, 264, 476, 4572, 272, 268, 3707, 278, 257, 676, 3220, 18332, 24261, 3817, 476, 736, 268, 4343, 563, 268, 834, 29753, 12925, 281, 6628, 267, 3127, 543, 519, 4414, 18277, 540, 7276, 543, 5303, 538, 519, 3689, 2622, 2782, 257, 676, 30410, 5984, 9045, 807, 12815, 1299, 10558, 630, 1220, 278, 264, 11730, 476, 3192, 267, 17136, 476, 272, 267, 3817, 476, 21076, 268, 14838, 454, 268, 2037, 5937, 528, 1133, 557, 6150, 2433, 634, 9452, 3297, 634, 10003, 547, 2037, 1673, 528, 676, 25414, 15434, 1597, 21701, 5988, 476, 1001, 275, 269, 16814, 4528, 267, 7824, 267, 3095, 547, 824, 28085, 11688, 704, 639, 12304, 2593, 269, 8158, 476, 2918, 5239, 476, 1001, 275, 269, 1230, 13935, 19359, 689, 661, 670, 13643, 267, 3277, 834, 23208, 2835, 2228, 257, 2630, 269, 1261, 729, 513, 4759, 540, 519, 21816, 17621, 3203, 20455, 23996, 630, 305, 836, 3019, 1230, 1154, 550, 1040, 15020, 2693, 713, 729, 2073, 610, 729, 4448, 609, 267, 519, 681, 836, 3019, 5800, 4347, 775, 21816, 17621, 17620, 267, 799, 1185, 606, 3203, 20455, 3296, 563, 268, 15080, 676, 589, 2466, 822, 13850, 9655, 281, 834, 4537, 1563, 29813, 4900, 281, 12075, 543, 18433, 2103, 538, 519, 7890, 13122, 540, 681, 553, 620, 268, 8072, 288, 514, 267, 476, 4489, 277, 268, 1240, 2668, 898, 568, 1759, 593, 606, 2272, 2854, 676, 606, 4095, 4759, 540, 519, 19377, 2549, 12712, 766, 17620, 630, 289, 3722, 1070, 945, 2968, 513, 26956, 1310, 519, 2887, 540, 918, 583, 269, 543, 8694, 909, 538, 519, 7890, 13122, 540, 681, 553, 620, 268, 262, 288, 514, 267, 538, 7187, 16850, 267, 538, 476, 4489, 277, 269, 968, 763, 2601, 519, 1650, 814, 15068, 568, 602, 835, 540, 519, 4095, 14586, 5949, 547, 2328, 827, 827, 1010, 2112, 2833, 17288, 1296, 2663, 269, 3571, 2012, 729, 590, 529, 597, 7203, 21112, 327, 1731, 926, 543, 1010, 1433, 2806, 6062, 2274, 20045, 24863, 611, 630, 528, 2201, 1677, 20045, 24863, 611, 264, 7902, 538, 476, 4198, 279, 892, 898, 568, 538, 476, 1240, 2694, 267, 538, 9258, 1931, 267, 9967, 540, 1079, 3817, 269, 2480, 2651, 547, 519, 5377, 540, 713, 2985, 585, 851, 476, 272, 269, 2480, 2651, 547, 519, 5377, 540, 713, 2985, 547, 3136, 269, 630, 21287, 3820, 6402, 476, 272, 543, 476, 273, 264, 634, 4505, 851, 540, 519, 17728, 267, 689, 11836, 909, 538, 2836, 12827, 3279, 547, 519, 2887, 540, 918, 583, 568, 4330, 538, 834, 4002, 547, 20045, 24863, 611, 2668, 2480, 2651, 547, 519, 5377, 540, 519, 2985, 585, 851, 476, 272, 454, 268, 32439, 676, 18279, 918, 3315, 534, 27958, 631, 4157, 615, 10202, 2073, 513, 4759, 540, 519, 4095, 6481, 6796, 267, 8385, 2854, 538, 15622, 8932, 269, 2991, 519, 2887, 540, 918, 583, 646, 729, 2366, 547, 513, 26956, 6361, 21351, 3786, 693, 681, 553, 620, 268, 8072, 288, 514, 267, 16850, 1141, 646, 5747, 538, 476, 4489, 278, 269, 1261, 729, 2022, 21065, 3585, 13752, 519, 13639, 9061, 269, 3571, 6589, 267, 538, 15622, 8932, 267, 616, 2139, 2228, 267, 3277, 2630, 269, 2368, 32461, 723, 1044, 12261, 883, 2296, 676, 589, 2466, 822, 13850, 9655, 269, 2480, 2651, 1524, 547, 519, 7127, 634, 2048, 12709, 543, 519, 2622, 685, 538, 12925, 476, 4489, 276, 268, 1704, 281, 3487, 476, 272, 547, 30134, 269, 1280, 519, 3803, 9708, 267, 20801, 1524, 547, 519, 5377, 1614, 9708, 269, 18838, 5147, 268, 4864, 476, 1001, 273, 993, 527, 822, 724, 9655, 2593, 630, 4958, 7205, 476, 1015, 2904, 476, 1001, 275, 1916, 268, 968, 21953, 1776, 4095, 3689, 2622, 2782, 17728, 1336, 17373, 9137, 827, 519, 2782, 6490, 7546, 338, 540, 18279, 7799, 599, 324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28843, 28843, 28843, 283, 16777, 4696, 454, 4499, 2525, 23751, 5035, 2368, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 8782, 17249, 262, 2187, 1038, 1582, 20508, 815, 1871, 22562, 825, 1219, 1205, 4067, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 454, 672, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 454, 825, 7711, 4067, 15630, 614, 454, 825, 1219, 2012, 4311, 267, 1871, 2187, 1038, 1582, 11519, 4067, 815, 1871, 454, 672, 692, 338, 815, 2368, 3488, 338, 611, 5073, 258, 338, 815, 1412, 329, 329, 329, 329, 7055, 2745, 4433, 10947, 4067, 15405, 9563, 9563, 24257, 476, 272, 324, 278, 321, 275, 322, 5038, 278, 324, 276, 5379, 22396, 2764, 324, 279, 323, 659, 10623, 320, 271, 321, 8064, 275, 279, 4029, 1789, 764, 325, 321, 274, 454, 0, 5814, 4351, 454, 5814, 533, 2096, 903, 27942, 7531, 5035, 9061, 5320, 912, 825, 2450, 815, 476, 271, 454, 825, 30573, 8217, 815, 29129, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 2891, 2162, 8080, 547, 519, 30573, 11015, 20536, 12693, 5602, 1038, 1247, 6936, 912, 2018, 1582, 25915, 815, 703, 9272, 19629, 333, 11767, 519, 4009, 2450, 540, 30573, 281, 27328, 2018, 952, 1582, 25915, 2999, 476, 274, 912, 3546, 1820, 2891, 32451, 1507, 3403, 269, 9373, 1776, 1871, 23528, 3546, 3136, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 6910, 8443, 7481, 7386, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 13376, 1582, 6983, 1484, 5320, 8217, 5157, 4940, 6572, 263, 271, 994, 3546, 2736, 692, 825, 1219, 2262, 7272, 1157, 518, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 1582, 28482, 1484, 7272, 1157, 518, 9217, 267, 795, 994, 3546, 1582, 6155, 1144, 7272, 1157, 518, 9217, 267, 795, 2020, 825, 1219, 2066, 7272, 1157, 518, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 476, 271, 912, 2018, 13214, 815, 834, 572, 937, 1793, 267, 5320, 689, 8675, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 2018, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 3546, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 3546, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 257, 2187, 7386, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 5602, 7386, 2132, 692, 1038, 8640, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 2018, 2132, 454, 1038, 3116, 912, 2018, 547, 8548, 2255, 815, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 2639, 2018, 13214, 815, 834, 572, 937, 1793, 267, 2262, 689, 8675, 1141, 2262, 899, 1412, 260, 257, 1341, 547, 8548, 2255, 314, 271, 316, 1341, 834, 262, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 952, 1293, 318, 6919, 11203, 476, 271, 912, 3546, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 3546, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 7386, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 7386, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 7386, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 257, 2187, 13376, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 5602, 13376, 2132, 454, 2018, 3116, 912, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 2891, 311, 2580, 1535, 267, 586, 2437, 1584, 311, 257, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 815, 834, 311, 4840, 3546, 2132, 692, 825, 1219, 1524, 7272, 1157, 518, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 476, 271, 912, 2018, 13214, 815, 834, 572, 937, 1793, 267, 5320, 689, 8675, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 2018, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 3546, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 3546, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 257, 2187, 7386, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 5602, 7386, 2132, 692, 1038, 8640, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 2018, 2132, 454, 1038, 3116, 912, 2018, 547, 8548, 2255, 815, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 2639, 2018, 13214, 815, 834, 572, 937, 1793, 267, 2262, 689, 8675, 1141, 2262, 899, 1412, 257, 1341, 547, 8548, 2255, 314, 271, 316, 1341, 834, 260, 262, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 1948, 1820, 263, 6919, 994, 2018, 952, 1293, 318, 6919, 11203, 476, 271, 912, 3546, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 3546, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 7386, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 7386, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 7386, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 257, 2187, 13376, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 5602, 13376, 2132, 454, 2018, 3116, 912, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 2891, 311, 2580, 1535, 267, 586, 2437, 1584, 311, 257, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 815, 834, 311, 4840, 3546, 2132, 692, 825, 1219, 1921, 5091, 520, 15390, 4311, 267, 13214, 2187, 1038, 2119, 912, 2018, 24563, 815, 533, 2096, 903, 27942, 269, 6618, 2891, 29985, 10676, 2580, 834, 10174, 2580, 834, 289, 880, 531, 268, 28670, 274, 2580, 834, 335, 2814, 1180, 19668, 5602, 2018, 23684, 815, 24563, 269, 19387, 4590, 2018, 23684, 20216, 31146, 263, 638, 2044, 994, 2018, 1239, 815, 23684, 8807, 21255, 718, 4590, 2018, 3611, 659, 870, 815, 23684, 269, 992, 12248, 454, 1038, 4849, 912, 2018, 1820, 2891, 4462, 762, 547, 30321, 1344, 5602, 1038, 24563, 25379, 4590, 1038, 1913, 815, 11713, 1038, 585, 1775, 538, 1239, 912, 2018, 1913, 6910, 8443, 328, 314, 271, 3910, 1775, 314, 272, 316, 7481, 1038, 2132, 1913, 267, 3611, 659, 870, 692, 825, 1219, 2262, 318, 680, 659, 1464, 4311, 267, 2262, 267, 1535, 267, 586, 267, 2493, 2187, 1038, 952, 2493, 2652, 834, 659, 1484, 13426, 2018, 952, 7003, 27182, 264, 3436, 630, 1345, 25915, 910, 586, 2187, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 12169, 267, 586, 1341, 7003, 27182, 15892, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 11203, 476, 271, 912, 13376, 2132, 8771, 454, 3546, 952, 586, 11203, 476, 271, 912, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 268, 272, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 268, 272, 316, 11203, 834, 311, 13426, 13376, 2132, 8771, 692, 1038, 8640, 2493, 2652, 834, 6658, 13426, 2018, 952, 7003, 27182, 264, 3436, 630, 1345, 25915, 910, 1535, 2187, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 3287, 266, 272, 267, 1535, 1341, 7003, 27182, 15892, 7386, 952, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 11203, 476, 271, 912, 13376, 2132, 8771, 454, 3546, 952, 1535, 11203, 476, 271, 912, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 268, 272, 6012, 344, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 268, 272, 6012, 344, 316, 11203, 834, 311, 13426, 13376, 2132, 8771, 692, 1038, 8640, 2493, 2652, 834, 1584, 311, 13426, 2018, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 3546, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 2262, 27133, 1154, 4311, 267, 2262, 267, 1535, 267, 586, 267, 2493, 2187, 1038, 952, 2493, 2652, 834, 659, 1484, 13426, 2018, 1775, 815, 586, 454, 2018, 585, 12055, 19963, 680, 3873, 538, 2262, 912, 3546, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 815, 12055, 19963, 680, 3873, 454, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 1582, 25915, 912, 3546, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 815, 834, 311, 4840, 1038, 3116, 912, 2018, 1775, 815, 1535, 454, 2018, 585, 12055, 19963, 680, 3873, 538, 2262, 912, 3546, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 815, 12055, 19963, 680, 3873, 454, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 1582, 25915, 912, 3546, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 815, 834, 311, 5016, 825, 1219, 6445, 13448, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 952, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 329, 316, 2652, 476, 271, 912, 7386, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 329, 316, 815, 834, 311, 5016, 825, 1219, 2070, 6831, 1484, 5320, 4311, 2187, 1038, 1820, 2891, 5602, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 1820, 4311, 6983, 1484, 5320, 8217, 5157, 6012, 329, 3910, 1439, 6889, 476, 19515, 2018, 1820, 2891, 257, 9239, 29589, 5320, 318, 28128, 815, 9061, 5320, 4590, 29589, 5320, 318, 28128, 269, 5320, 7272, 1157, 518, 4590, 29589, 5320, 318, 28128, 8807, 650, 13448, 4590, 29589, 5320, 318, 28128, 269, 1613, 6831, 1484, 5320, 10797, 0, 258, 28605, 8193, 281, 29031, 293, 268, 279, 20609, 8894, 258, 323, 5877, 16583, 30936, 23746, 23284, 29004, 499, 420, 492, 371, 19764, 480, 27747, 372, 18998, 19404, 491, 13644, 499, 31284, 420, 377, 377, 11133, 318, 4958, 1845, 18998, 454, 258, 23946, 370, 18777, 378, 419, 377, 362, 17958, 16043, 371, 28786, 419, 494, 484, 12528, 318, 26047, 454, 5814, 2712, 961, 756, 273, 454, 3698, 4647, 263, 14766, 267, 12528, 318, 26047, 8782, 342, 1873, 335, 3299, 11133, 318, 4958, 1845, 815, 476, 273, 2187, 13537, 834, 12606, 532, 24333, 14766, 454, 453, 3650, 619, 28121, 262, 27165, 268, 26047, 9166, 12528, 318, 26047, 8679, 453, 258, 21928, 19764, 499, 24662, 7511, 584, 961, 756, 273, 18021, 497, 18809, 420, 364, 481, 17958, 7528, 652, 16583, 30936, 18998, 17958, 25622, 5405, 509, 454, 453, 7528, 652 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 273, 267, 476, 277, 264, 1058, 723, 8120, 476, 271, 4799, 1038, 7682, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 274, 267, 476, 277, 264, 2652, 476, 271, 267, 567, 834, 24445, 547, 1205, 7272, 31242, 318, 520, 263, 274, 267, 476, 277, 264, 1058, 723, 8120, 476, 271, 3010, 1038, 7682, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 274, 264, 2652, 476, 277, 267, 567, 834, 24445, 547, 1205, 7272, 31242, 318, 520, 263, 272, 267, 476, 274, 264, 1058, 723, 8120, 476, 277, 4799, 825, 4849, 2667, 1068, 542, 13286, 607, 552, 912, 1038, 1948, 7179, 856, 513, 3593, 7888, 5470, 5048, 454, 1038, 1820, 552, 692, 258, 14840, 519, 4255, 269, 901, 1505, 16493, 4986, 952, 519, 4255, 454, 258, 1780, 269, 901, 1505, 16493, 606, 5470, 5048, 585, 519, 1101, 3097, 258, 5470, 621, 13341, 563, 258, 11687, 318, 1326, 7272, 31242, 318, 520, 30800, 3698, 3328, 15058, 5334, 584, 1037, 532, 9638, 31242, 14682, 5090, 267, 1775, 267, 795, 2187, 825, 23288, 825, 16849, 519, 796, 7076, 539, 3328, 540, 519, 2418, 540, 519, 18920, 693, 4737, 1775, 3097, 825, 543, 6241, 795, 543, 519, 5216, 19641, 4478, 621, 563, 825, 15981, 692, 825, 1535, 815, 795, 910, 476, 272, 454, 825, 586, 815, 1775, 910, 476, 272, 454, 825, 8700, 815, 795, 1341, 476, 272, 454, 825, 4463, 815, 1775, 1341, 476, 272, 692, 825, 23288, 825, 1820, 834, 343, 815, 4939, 323, 257, 4939, 1535, 454, 825, 1820, 834, 344, 815, 4939, 323, 257, 4939, 586, 454, 825, 1820, 834, 12296, 476, 815, 4939, 323, 257, 4939, 8700, 454, 825, 1820, 834, 19417, 815, 4939, 323, 257, 4939, 4463, 454, 825, 15981, 692, 825, 18920, 23544, 815, 476, 271, 454, 825, 585, 897, 538, 2039, 3287, 267, 8700, 266, 272, 2187, 1038, 585, 4737, 538, 2039, 12169, 267, 4463, 266, 272, 2187, 2018, 18920, 23544, 6834, 1205, 7272, 31242, 318, 520, 9638, 31242, 14682, 5090, 267, 4737, 267, 897, 2020, 825, 1948, 2745, 834, 335, 31242, 23544, 815, 4939, 323, 834, 4939, 18920, 23544, 454, 825, 1948, 31087, 10976, 292, 24199, 25265, 7728, 6730, 29187, 299, 19781, 8668, 23166, 22400, 2910, 14701, 27250, 825, 1948, 18920, 23544, 1058, 581, 606, 8870, 269, 1284, 20053, 585, 713, 547, 581, 3097, 825, 1948, 959, 15635, 908, 8870, 6498, 269, 22322, 825, 2132, 18920, 23544, 1315, 476, 280, 7531, 3698, 1820, 14682, 5090, 9638, 31242, 14682, 5090, 17107, 825, 8700, 476, 815, 7003, 9638, 31242, 14682, 5090, 314, 271, 7481, 825, 4463, 815, 7003, 9638, 31242, 14682, 5090, 2020, 825, 585, 586, 538, 2039, 263, 271, 267, 4463, 2187, 1038, 585, 1535, 538, 2039, 263, 271, 267, 8700, 2187, 2018, 1820, 9638, 31242, 14682, 5090, 314, 344, 6012, 343, 316, 13211, 1038, 1820, 27719, 333, 5016, 3698, 1449, 19963, 2071, 15058, 5334, 584, 1037, 532, 10031, 825, 15981, 9978, 267, 5618, 7254, 640, 11974, 585, 3328, 15058, 5334, 584, 1037, 532, 269, 23288, 825, 1948, 6684, 547, 1449, 318, 1326, 7272, 31242, 318, 520, 267, 8429, 782, 540, 891, 4255, 454, 825, 1948, 1281, 711, 10018, 602, 707, 6388, 540, 3097, 825, 1948, 3328, 15058, 5334, 584, 1037, 532, 568, 2953, 780, 825, 1449, 14682, 5090, 815, 1496, 454, 1038, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 16689, 1038, 1496, 271, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 16689, 1038, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 2639, 825, 476, 6540, 825, 1948, 2745, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 994, 825, 1948, 2745, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 994, 825, 2119, 912, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 275, 264, 2652, 476, 277, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 1058, 723, 8120, 476, 277, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 2652, 476, 273, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 1058, 723, 8120, 476, 273, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 276, 264, 2652, 476, 275, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 276, 264, 1058, 723, 8120, 476, 275, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 276, 264, 2652, 476, 274, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 276, 264, 1058, 723, 8120, 476, 274, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 264, 2652, 476, 275, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 264, 1058, 723, 8120, 476, 275, 4799, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 271, 264, 2652, 476, 271, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 271, 264, 1058, 723, 8120, 476, 271, 4799, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 273, 267, 476, 276, 264, 2652, 476, 274, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 273, 267, 476, 276, 264, 1058, 723, 8120, 476, 274, 4799, 825, 4849, 2667, 1068, 542, 13286, 607, 552, 912, 1038, 1820, 552, 692, 258, 11687, 19963, 2071, 15058, 5334, 584, 1037, 532, 30800, 3698, 20747, 9638, 31242, 14682, 5090, 2187, 825, 23288, 825, 9717, 18920, 14682, 5090, 630, 320, 7470, 540, 19641, 1070, 7024, 513, 1007, 7470, 540, 19641, 454, 825, 602, 568, 519, 1267, 540, 20747, 2590, 18920, 14682, 5090, 269, 769, 519, 3977, 7470, 267, 3097, 825, 1142, 18920, 568, 519, 3328, 540, 602, 18920, 543, 922, 5216, 12543, 538, 454, 825, 519, 3403, 7470, 269, 3097, 825, 15981, 692, 825, 1948, 31087, 10976, 292, 24199, 25265, 7728, 6730, 29187, 299, 19781, 8668, 23166, 22400, 2910, 14701, 4429, 692, 7531, 258, 7224, 1292, 3252, 538, 9226, 594, 7058, 454, 11687, 318, 1326, 7272, 31242, 318, 520, 4590, 11687, 19963, 2071, 15058, 5334, 584, 1037, 532, 10797, 0, 5814, 942, 1477, 5814, 15259, 1477, 6112, 6936, 6769, 258, 19670, 2934, 1477, 258, 604, 596, 1265, 1022, 6959, 726, 345, 3346, 803, 538, 930, 1259, 1775, 21645, 917, 875, 555, 334, 689, 1631, 593, 1775, 786, 2491, 1018, 993, 1775, 3257, 543, 875, 1281, 621, 960, 23228, 258, 8421, 334, 281, 713, 568, 519, 20446, 540, 519, 1982, 332, 1477, 258, 328, 2322, 713, 1247, 3020, 1175, 585, 1964, 691, 532, 519, 1982, 950, 621, 26088, 979, 1294, 693, 519, 1439, 540, 519, 3009, 585, 2417, 9623, 476, 5897, 24541, 825, 15259, 269, 17882, 3488, 10233, 513, 20298, 24541, 825, 1820, 3488, 5257, 24653, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 1477, 16123, 486, 21735, 16123, 482, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 482, 21735, 16123, 486, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 482, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 482, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 482, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 21735, 16123, 482, 21735, 16123, 486, 21735, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 482, 16123, 478, 16123, 486, 1477, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 478, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 478, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 21735, 16123, 482, 16123, 486, 1477, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 5897, 18257, 10142, 825, 942, 4732, 2748, 263, 272, 10142, 258, 663, 6673, 325, 271, 343, 270, 1042, 325, 2135, 568, 1250, 2012, 621, 568, 1500, 676, 803, 269, 5897, 825, 1820, 3488, 5257, 5897, 16123, 486, 16123, 478, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 482, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 476, 587, 481, 16123, 486, 16123, 482, 16123, 482, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 476, 587, 481, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 478, 16123, 482, 16123, 478, 1477, 16123, 486, 16123, 495, 16123, 478, 16123, 495, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 482, 16123, 478, 587, 481, 16123, 486, 16123, 486, 16123, 482, 587, 481, 476, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 16123, 495, 16123, 486, 16123, 495, 587, 481, 476, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 16123, 486, 16123, 478, 16123, 495, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 16123, 486, 16123, 495, 16123, 486, 5897, 5257, 10807, 476, 5897, 258, 5228, 1934, 519, 1982, 6238, 672, 5897, 825, 1820, 630, 18257, 1477, 268, 547, 1685, 519, 6906, 267, 2046, 476, 272, 6902, 1477, 268, 547, 14892, 519, 4009, 543, 13551, 2046, 476, 273, 282, 1477, 18257, 3418, 24541, 258, 14140, 851, 1175, 585, 7446, 627, 603, 12166, 1106, 579, 1616, 547, 5173, 1477, 24541, 825, 1247, 6936, 6769, 1038, 1781, 1047, 815, 3403, 3488, 11767, 513, 1297, 7222, 547, 707, 5697, 5106, 4534, 15010, 1412, 3418, 1038, 952, 1781, 1047, 538, 18358, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 11172, 6769, 2018, 2736, 1477, 825, 1948, 10472, 568, 4781, 476, 272, 6906, 972, 786, 581, 824, 476, 273, 3681, 949, 29560, 835, 811, 538, 519, 2104, 1477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 13064, 272, 31574, 348, 22570, 16535, 558, 23533, 266, 330, 268, 272, 2410, 330, 16585, 13064, 272, 270, 273, 330, 348, 1422, 28254, 476, 273, 13064, 272, 31574, 348, 630, 333, 266, 330, 268, 272, 264, 13064, 272, 270, 273, 348, 630, 330, 14386, 3867, 272, 270, 273, 330, 10592, 7445, 6234, 1422, 28254, 476, 273, 13064, 272, 31574, 348, 552, 13064, 272, 270, 273, 348, 737, 3867, 272, 270, 273, 348, 630, 333, 266, 330, 268, 272, 264, 13064, 272, 270, 273, 348, 1547, 6911, 2171, 666, 3976, 6961, 14497, 476, 272, 676, 4259, 20270, 330, 28701, 1422, 331, 28776, 595, 589, 317, 273, 1422, 337, 28776, 4151, 585, 930, 18481, 1804, 6207, 3586, 20270, 290, 31859, 2026, 1082, 3988, 949, 2907, 917, 267, 1250, 1434, 3659, 543, 8284, 6310, 5816, 3455, 7033, 717, 10183, 267, 2348, 20386, 909, 960, 593, 519, 23134, 12660, 542, 547, 9119, 630, 6518, 594, 3494, 568, 1631, 538, 2046, 1070, 814, 13175, 1776, 6310, 11036, 267, 12077, 513, 968, 307, 9581, 26264, 892, 547, 957, 607, 513, 23789, 585, 6310, 15361, 543, 2553, 269, 6892, 7033, 814, 2907, 3323, 519, 3440, 12902, 609, 1896, 6079, 4930, 593, 1010, 1378, 5816, 267, 543, 4280, 803, 547, 849, 3565, 930, 4930, 269, 1109, 630, 2026, 594, 1174, 621, 267, 891, 4930, 786, 581, 28953, 547, 519, 26264, 538, 513, 1906, 3275, 267, 2899, 621, 568, 4628, 1305, 909, 267, 543, 1287, 789, 786, 11457, 609, 1196, 1080, 543, 7418, 676, 4896, 945, 16858, 547, 12334, 538, 267, 538, 519, 6891, 540, 9504, 282, 538, 1880, 267, 4930, 616, 711, 5497, 547, 581, 18385, 30363, 610, 9896, 676, 1022, 2582, 23784, 24355, 3383, 2221, 594, 8910, 899, 547, 1376, 676, 25935, 930, 1570, 689, 606, 2025, 2022, 540, 9553, 593, 968, 8649, 680, 2305, 267, 11737, 14141, 267, 543, 519, 21723, 1379, 8945, 892, 630, 553, 1134, 607, 689, 930, 540, 519, 8292, 1070, 543, 14291, 621, 547, 519, 570, 9581, 26264, 3898, 267, 1247, 849, 2921, 519, 4316, 547, 1039, 513, 1906, 811, 1806, 780, 17138, 281, 634, 21723, 1379, 8945, 692, 30022, 6609, 281, 1403, 835, 6499, 547, 6961, 606, 8635, 1269, 311, 1422, 19008, 962, 259, 585, 930, 1875, 24308, 9424, 2473, 267, 962, 267, 855, 666, 1152, 1294, 875, 547, 6961, 513, 29610, 268, 710, 638, 1275, 1269, 311, 1422, 19008, 595, 312, 259, 602, 19380, 513, 3818, 2364, 894, 3586, 595, 267, 1287, 2119, 547, 5372, 782, 3615, 3238, 538, 519, 1966, 676, 968, 339, 16428, 7060, 892, 540, 2933, 543, 4019, 519, 29610, 268, 710, 638, 1275, 547, 1346, 7060, 269, 1109, 1403, 782, 4422, 1134, 267, 835, 666, 1397, 602, 1269, 311, 317, 300, 1422, 19008, 595, 962, 317, 300, 259, 585, 782, 1269, 300, 1422, 28254, 476, 272, 8961, 609, 513, 3586, 595, 799, 568, 4830, 540, 631, 267, 799, 10522, 602, 1269, 311, 1422, 19008, 962, 259, 607, 5551, 676, 2921, 1269, 300, 3867, 628, 4151, 5072, 543, 1287, 2921, 7182, 607, 1269, 300, 1422, 1729, 1422, 13727, 10608, 0, 299, 15145, 268, 274, 7304, 7416, 266, 663, 266, 27987, 692, 258, 774, 626, 4286, 1993, 23251, 9084, 4754, 10106, 965, 1729, 325, 553, 629, 1105, 691, 692, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 476, 271, 2600, 568, 1978, 547, 2049, 269, 27159, 609, 513, 5506, 540, 4642, 786, 2760, 2049, 269, 7151, 30692, 32207, 534, 7577, 779, 2250, 9193, 5815, 602, 519, 17831, 540, 519, 533, 612, 574, 2065, 267, 1034, 2693, 267, 543, 23904, 4093, 616, 476, 1839, 9077, 476, 2004, 9077, 543, 476, 1839, 9077, 6606, 269, 8074, 602, 519, 2040, 540, 891, 17831, 1590, 3160, 476, 1911, 260, 282, 602, 568, 267, 789, 1590, 581, 1759, 593, 782, 519, 8925, 2808, 269, 476, 2641, 17438, 20518, 1903, 17438, 20518, 1903, 589, 5506, 3892, 568, 513, 2203, 602, 12211, 17831, 547, 519, 2404, 4093, 269, 634, 14724, 1826, 540, 5506, 3892, 568, 519, 3046, 5750, 267, 799, 2982, 1152, 513, 3908, 1297, 540, 6364, 1700, 22238, 1464, 10974, 269, 634, 3046, 12125, 585, 22374, 7577, 779, 7221, 589, 543, 645, 616, 3254, 538, 519, 1739, 7612, 1547, 4014, 1312, 7221, 723, 519, 1482, 1034, 2693, 2132, 267, 519, 2039, 540, 2132, 568, 1454, 3152, 267, 610, 811, 24797, 267, 585, 10697, 645, 982, 585, 10697, 589, 1765, 1626, 2600, 8957, 476, 275, 2600, 269, 476, 2420, 4446, 15873, 585, 2667, 564, 589, 543, 645, 779, 17776, 4446, 15873, 585, 2667, 564, 589, 543, 645, 779, 17776, 476, 2537, 17438, 20518, 1903, 17438, 20518, 1903, 1403, 649, 6785, 782, 519, 2009, 4093, 543, 2404, 17831, 267, 649, 1223, 1020, 513, 6024, 5506, 3892, 269, 901, 1826, 540, 3892, 666, 581, 2219, 540, 607, 513, 3046, 5750, 585, 513, 1360, 1804, 1297, 540, 4093, 269, 634, 1739, 4137, 6799, 6024, 5506, 14778, 585, 7221, 589, 543, 645, 269, 8074, 602, 4352, 7221, 589, 543, 645, 723, 519, 1482, 1034, 2693, 2132, 630, 1428, 2600, 1070, 519, 3892, 540, 7024, 585, 10697, 645, 814, 1454, 3152, 24980, 982, 519, 3892, 585, 10697, 589, 269, 22682, 267, 10697, 645, 568, 811, 19408, 982, 10697, 589, 269, 476, 2190, 23120, 17438, 20518, 1903, 23120, 17438, 20518, 1903, 476, 1839, 11485, 6482, 11485, 6482, 769, 1840, 547, 6236, 922, 2039, 267, 519, 1981, 540, 606, 10697, 666, 581, 6027, 11050, 569, 676, 1210, 7194, 269, 3371, 649, 2015, 1079, 7194, 9789, 3044, 11539, 543, 519, 11664, 540, 8390, 1765, 602, 666, 581, 1031, 547, 2268, 519, 13260, 540, 10697, 7024, 269, 9208, 8061, 2747, 634, 1034, 1455, 8579, 13525, 540, 606, 10697, 779, 1981, 568, 519, 3044, 11539, 267, 799, 3800, 519, 12165, 328, 2483, 8698, 9509, 11657, 692, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 258, 1215, 798, 596, 14458, 11196, 274, 22677, 273, 270, 274, 4297, 263, 275, 22677, 272, 270, 275, 4297, 2496, 9802, 476, 4029, 267, 476, 1001, 278, 692, 7445, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 2410, 274, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 2410, 275, 14990, 2431, 264, 815, 910, 1422, 6912, 314, 1321, 31765, 275, 866, 3445, 275, 348, 815, 910, 476, 273, 269, 280, 6078, 278, 6911, 2971, 19247, 1384, 1103, 27847, 23055, 649, 723, 1269, 274, 259, 543, 1269, 275, 259, 607, 32159, 269, 1924, 1577, 721, 2569, 873, 547, 1455, 32159, 1775, 4318, 269, 1269, 1321, 259, 607, 1269, 1321, 259, 568, 717, 7374, 540, 1269, 274, 259, 543, 1269, 275, 10608, 9747, 692, 7445, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 2410, 274, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 2410, 275, 14990, 2431, 22491, 284, 4399, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 1422, 9392, 476, 275, 2410, 274, 1422, 9392, 476, 275, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 1422, 9392, 476, 274, 2410, 275, 1422, 9392, 476, 274, 14990, 2431, 22491, 284, 4399, 3847, 8987, 2715, 274, 23685, 2765, 346, 279, 2410, 1321, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 274, 2410, 1321, 14990, 2431, 22491, 284, 12276, 3847, 8987, 2715, 274, 8703, 279, 348, 1422, 9392, 2715, 275, 8703, 274, 4153, 2431, 264, 23685, 2765, 346, 272, 2410, 1321, 32556, 284, 12276, 3847, 8987, 476, 4792, 277, 272, 1422, 9392, 476, 5038, 9368, 264, 23685, 2765, 346, 272, 2410, 1321, 32556, 284, 1269, 268, 1422, 6912, 314, 1321, 31765, 275, 866, 3445, 275, 10592, 18823, 1211, 958, 267, 621, 568, 3160, 547, 1269, 268, 476, 273, 269, 280, 6078, 278, 259, 0, 258, 32341, 2436, 972, 6818, 513, 3802, 540, 2597, 4010, 737, 692, 13706, 519, 1739, 1966, 1384, 19152, 281, 513, 9859, 3113, 1269, 294, 815, 630, 309, 267, 292, 12101, 18652, 7751, 1141, 4399, 18652, 2433, 661, 1422, 14075, 21375, 1422, 13992, 346, 313, 20954, 1079, 14622, 1269, 341, 318, 272, 267, 642, 318, 273, 1422, 514, 966, 8961, 543, 513, 2597, 1269, 330, 1422, 514, 1422, 13992, 346, 313, 10592, 9223, 281, 6496, 972, 2291, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 259, 609, 2597, 4010, 1269, 330, 259, 2496, 763, 2597, 540, 513, 3802, 568, 3274, 519, 2040, 540, 782, 8728, 538, 519, 2619, 269, 8074, 602, 519, 3802, 666, 2270, 9979, 780, 3674, 713, 1966, 1232, 22421, 286, 1772, 972, 1022, 5690, 547, 4194, 713, 1966, 267, 952, 594, 1810, 1405, 1416, 827, 519, 4881, 942, 286, 3733, 1966, 568, 602, 2094, 649, 666, 723, 8728, 22051, 609, 2901, 2318, 610, 2942, 9981, 267, 621, 568, 2182, 547, 3313, 950, 547, 3247, 610, 2490, 1394, 950, 621, 4991, 1932, 1970, 610, 1932, 1164, 780, 2690, 1383, 267, 2016, 519, 3113, 1269, 294, 259, 1141, 1269, 309, 815, 1422, 346, 642, 318, 272, 267, 341, 318, 273, 1422, 4151, 543, 1269, 292, 815, 1422, 346, 324, 318, 272, 281, 263, 341, 318, 272, 267, 341, 268, 272, 1070, 552, 318, 273, 281, 263, 341, 318, 272, 267, 341, 318, 273, 9385, 4151, 543, 4399, 18652, 16216, 318, 272, 6661, 268, 273, 259, 543, 4399, 18652, 16216, 318, 273, 6661, 272, 8961, 519, 2243, 1223, 581, 568, 972, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 259, 609, 2597, 1269, 268, 4200, 10608, 634, 5690, 1058, 2161, 9811, 267, 607, 972, 568, 513, 3802, 4358, 689, 1269, 341, 318, 272, 259, 543, 1582, 8520, 532, 476, 2004, 2053, 936, 6316, 1269, 324, 318, 272, 259, 1354, 2921, 6316, 1269, 324, 318, 273, 259, 543, 2165, 3215, 780, 296, 5892, 4280, 827, 519, 6988, 540, 513, 2147, 1966, 1934, 267, 855, 972, 594, 729, 5059, 593, 519, 6988, 540, 519, 1966, 269, 11524, 723, 3254, 602, 713, 1966, 568, 26128, 3620, 731, 269, 4746, 267, 519, 5892, 2243, 4280, 827, 513, 2619, 267, 6466, 1934, 594, 993, 6998, 827, 513, 3802, 630, 320, 14584, 1522, 581, 10272, 2789, 2053, 5148, 519, 4528, 609, 10092, 568, 538, 26128, 543, 3976, 1232, 22421, 267, 855, 1934, 594, 993, 6998, 827, 15211, 2864, 982, 10092, 780, 30860, 602, 713, 1966, 568, 711, 24735, 267, 7361, 1317, 649, 616, 6158, 827, 15211, 2864, 982, 2241, 10092, 269, 1703, 568, 1100, 513, 1991, 328, 5580, 3808, 593, 519, 3259, 540, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 8961, 865, 1175, 679, 10179, 908, 782, 2009, 15211, 1522, 2760, 2165, 3729, 269, 4746, 267, 519, 3113, 1223, 2270, 28354, 1082, 9979, 267, 543, 519, 3802, 1522, 3643, 930, 540, 873, 1022, 1297, 540, 2053, 269, 1656, 267, 972, 568, 1100, 6654, 5580, 3808, 593, 519, 1297, 540, 2053, 602, 649, 29906, 1022, 2016, 4783, 269, 769, 1880, 267, 621, 568, 711, 6654, 2436, 713, 1966, 568, 538, 26128, 610, 711, 269, 589, 3551, 5786, 547, 8870, 5276, 5752, 630, 534, 8870, 4756, 585, 1142, 6316, 267, 10203, 875, 1082, 2053, 519, 3802, 21986, 525, 602, 6316, 264, 8255, 883, 519, 7411, 602, 621, 568, 711, 2312, 875, 547, 2327, 602, 596, 723, 513, 3802, 543, 711, 513, 2095, 780, 1892, 7490, 1810, 1405, 12575, 513, 2243, 676, 4946, 834, 3633, 3951, 281, 930, 3063, 8631, 2668, 5502, 267, 12575, 519, 2243, 547, 581, 1018, 621, 1058, 723, 1044, 689, 519, 1376, 267, 1775, 4318, 1421, 547, 581, 1582, 8410, 22633, 585, 2576, 945, 13341, 621, 689, 519, 4098, 269, 1703, 568, 1100, 991, 547, 8190, 519, 1991, 4528, 540, 519, 2243, 281, 649, 723, 513, 14469, 1686, 585, 602, 269, 1107, 1109, 291, 15030, 269, 9484, 476, 3066, 1412, 1691, 693, 476, 1626, 281, 4391, 454, 1892, 1215, 568, 713, 1631, 1114, 689, 519, 533, 1640, 2243, 286, 7671, 310, 781, 2626, 972, 2829, 602, 621, 781, 26128, 10687, 10968, 267, 799, 4267, 707, 2243, 269, 1403, 621, 781, 711, 834, 13700, 20190, 257, 607, 646, 2829, 267, 2307, 585, 27792, 538, 513, 6085, 269, 1107, 1109, 305, 777, 3873, 601, 9484, 476, 3066, 1412, 1691, 693, 476, 1704, 281, 7918, 454, 1892, 4706, 513, 1114, 1966, 267, 1354, 649, 1152, 4847, 513, 2619, 1063, 14622, 267, 855, 1631, 649, 1450, 513, 3802, 5627, 7368, 14622, 269, 1107, 1109, 307, 344, 2401, 667, 6324 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4335, 1296, 269, 6736, 513, 4050, 31008, 585, 1514, 2257, 3822, 267, 519, 4589, 6707, 14377, 513, 16854, 2179, 540, 1699, 10618, 1382, 593, 519, 5137, 543, 2226, 766, 540, 3661, 1949, 883, 606, 3015, 1433, 269, 834, 21848, 540, 31666, 7701, 257, 6054, 519, 4473, 540, 10229, 267, 519, 7771, 540, 9758, 1857, 11407, 267, 543, 519, 7915, 12178, 540, 4557, 2034, 3280, 321, 2572, 538, 8159, 938, 13821, 267, 2115, 267, 543, 3853, 269, 4329, 267, 789, 1469, 519, 2189, 7965, 538, 1818, 513, 834, 16884, 257, 3375, 538, 513, 3728, 19550, 267, 5048, 1673, 1619, 267, 2527, 2173, 4215, 2528, 269, 901, 1008, 25607, 543, 23892, 1433, 849, 19267, 513, 5732, 6926, 752, 4605, 585, 3013, 781, 11180, 5389, 269, 18641, 267, 519, 4589, 1683, 3988, 609, 834, 534, 19070, 531, 257, 540, 7214, 2645, 547, 1232, 1712, 6835, 543, 2149, 6000, 269, 1306, 519, 4589, 9959, 267, 834, 933, 1590, 4096, 593, 938, 1378, 1702, 540, 18259, 12485, 543, 938, 1378, 3646, 547, 1521, 1271, 2152, 607, 952, 789, 941, 5963, 1271, 4799, 1607, 1433, 729, 513, 1483, 21898, 256, 594, 2356, 1224, 513, 476, 4968, 2985, 1433, 538, 827, 1079, 3108, 543, 993, 1031, 547, 2542, 998, 873, 3533, 543, 3478, 5196, 519, 1985, 835, 269, 901, 1433, 729, 865, 4241, 602, 594, 30281, 1524, 547, 1118, 2386, 602, 594, 3893, 1169, 3787, 540, 1344, 856, 540, 621, 602, 729, 2139, 563, 1607, 1433, 1058, 581, 2838, 2542, 585, 3025, 945, 6499, 547, 917, 875, 789, 616, 1373, 6766, 676, 519, 6725, 1004, 267, 796, 2675, 14442, 592, 748, 6455, 1004, 267, 1381, 3401, 267, 6608, 543, 1866, 3260, 619, 540, 3310, 269, 898, 568, 513, 9488, 1576, 538, 875, 547, 5544, 606, 3801, 547, 13861, 596, 543, 875, 596, 666, 20272, 519, 3510, 547, 1294, 952, 621, 568, 2731, 1945, 596, 1616, 610, 711, 563, 2005, 814, 930, 540, 519, 1034, 2347, 5796, 593, 875, 547, 4983, 606, 6221, 543, 875, 547, 4431, 540, 1022, 1433, 593, 3310, 602, 594, 723, 1224, 269, 2201, 519, 834, 288, 257, 1592, 540, 1590, 22345, 2835, 563, 517, 2904, 476, 2537, 267, 476, 1220, 272, 454, 20091, 713, 1433, 4547, 547, 2247, 513, 4583, 10839, 676, 12253, 28732, 269, 898, 4422, 1945, 899, 713, 281, 834, 2252, 782, 1250, 22590, 941, 3144, 689, 803, 267, 609, 835, 9868, 267, 594, 1131, 3442, 547, 1832, 519, 1379, 540, 1250, 1913, 267, 585, 676, 621, 594, 1131, 4166, 22919, 782, 519, 1964, 4799, 2252, 596, 2811, 5461, 538, 1565, 811, 827, 519, 1379, 1913, 543, 741, 2702, 547, 5083, 340, 1228, 543, 3310, 267, 713, 568, 11613, 2838, 2542, 563, 763, 4589, 3277, 596, 547, 19421, 540, 2413, 1554, 1806, 543, 3621, 2090, 910, 6029, 596, 1018, 2553, 960, 267, 543, 1946, 269, 3509, 540, 519, 1034, 2500, 11580, 540, 30373, 1031, 676, 2229, 267, 14078, 267, 543, 5310, 1256, 707, 20148, 267, 616, 782, 7000, 563, 6826, 2062, 8705, 2740, 267, 2705, 281, 1411, 3513, 2760, 1413, 693, 513, 7641, 5010, 267, 11356, 267, 12139, 267, 610, 1857, 4013, 519, 1482, 1259, 1586, 630, 296, 4126, 1040, 3367, 621, 267, 543, 3262, 519, 2262, 563, 517, 5412, 476, 1626, 267, 476, 1220, 277, 454, 296, 993, 1603, 513, 5098, 585, 513, 1250, 4487, 781, 593, 14868, 267, 543, 11341, 602, 547, 18259, 267, 799, 3366, 803, 547, 713, 1433, 563, 296, 666, 1405, 2161, 2614, 1390, 1919, 827, 713, 1433, 269, 594, 12211, 782, 540, 519, 2093, 547, 4948, 2049, 1734, 1455, 547, 519, 834, 26792, 2006, 8487, 1607, 1433, 568, 1390, 585, 1382, 267, 543, 849, 1175, 547, 1451, 875, 519, 1158, 568, 2731, 10443, 563, 517, 4873, 476, 1704, 267, 476, 1220, 280, 454, 296, 1031, 547, 4074, 13124, 2445, 1344, 594, 1336, 593, 2923, 3310, 269, 6520, 540, 31666, 7701, 3568, 971, 513, 5318, 5044, 540, 1806, 540, 519, 632, 680, 22789, 946, 540, 18259, 282, 24903, 519, 2014, 540, 1082, 540, 938, 530, 3996, 607, 513, 2486, 267, 602, 594, 1631, 7048, 8185, 593, 713, 1433, 585, 1382, 563, 763, 11271, 9293, 540, 21478, 543, 24436, 538, 3776, 1261, 6758, 616, 4502, 519, 3902, 540, 519, 1433, 4805, 269, 1809, 621, 4422, 1454, 2417, 982, 602, 282, 6313, 3929, 19131, 542, 267, 4250, 543, 16203, 538, 10229, 543, 1256, 519, 6530, 3297, 1381, 338, 563, 763, 8545, 1641, 568, 1250, 835, 9880, 540, 713, 1433, 282, 594, 3494, 519, 2984, 540, 6424, 918, 2803, 327, 941, 29959, 547, 27313, 1125, 513, 1895, 799, 729, 267, 3274, 2322, 267, 2527, 659, 1042, 676, 5310, 711, 9409, 267, 855, 6157, 804, 3241, 612, 543, 538, 6016, 656, 2229, 8069, 563, 2467, 616, 8938, 835, 3817, 540, 8100, 267, 865, 519, 1543, 542, 676, 930, 602, 519, 1433, 3884, 1405, 20483, 909, 676, 2614, 2963, 4667, 547, 803, 19039, 569, 3765, 7666, 3660, 563, 517, 5412, 476, 2537, 267, 476, 1001, 274, 454, 1607, 568, 513, 1455, 2631, 1433, 602, 3877, 519, 2553, 1031, 676, 519, 1977, 2797, 1062, 547, 1852, 519, 13999, 269, 3013, 814, 2760, 2731, 1044, 513, 1360, 10995, 1747, 267, 865, 621, 729, 2141, 2653, 585, 18348, 3401, 547, 2220, 26295, 741, 1259, 538, 563, 25567, 753, 1589, 789, 2661, 538, 513, 9111, 267, 855, 789, 2965, 2661, 538, 513, 23654, 2782, 3557, 6417, 676, 519, 2923, 267, 14078, 543, 519, 14547, 267, 799, 946, 967, 24934, 337, 1588, 538, 3506, 267, 1920, 267, 543, 960, 547, 3337, 16496, 8186, 269, 7136, 633, 7449, 1938, 547, 29904, 20874, 1832, 29601, 593, 1344, 543, 1004, 267, 1500, 2653, 998, 6639, 7835, 543, 1344, 13936, 538, 5904, 269, 10555, 543, 804, 663, 32347, 4914, 834, 1417, 619, 540, 4987, 257, 630, 5746, 288, 267, 715, 6347, 264, 13230, 2112, 609, 1158, 11615, 543, 1875, 10687, 680, 5050, 3401, 563, 3528, 4758, 519, 13999, 3232, 6027, 9424, 540, 31666, 7701, 267, 789, 616, 2111, 547, 13861, 873, 543, 1256, 946, 873, 2509, 741, 5413, 630, 5408, 634, 5062, 10111, 20321, 16527, 910, 7920, 4550, 268, 10919, 626, 27421, 1040, 1358, 946, 796, 514, 845, 894, 834, 18080, 257, 5641, 338, 630, 325, 2683, 609, 2283, 1049, 1570, 1070, 9184, 331, 1355, 19761, 267, 27127, 2762, 267, 4641, 7641, 267, 3728, 1426, 267, 8446, 609, 2319, 5026, 267, 3092, 547, 3337, 12705, 762, 543, 1875, 2275, 15560, 8186, 563, 2005, 781, 513, 7168, 2653, 21037, 267, 607, 1034, 4892, 5749, 1405, 1360, 2111, 547, 10646, 602, 741, 12058, 616, 7432, 547, 13134, 267, 1346, 945, 798, 1589, 616, 3533, 16701, 5344, 676, 519, 967, 24934, 337, 1588, 1062, 1369, 610, 1500, 883, 513, 1875, 6253, 805, 563, 14187, 1433, 269, 18320, 3983, 1100, 835, 786, 1224, 621, 267, 4849, 538, 2342, 563, 517, 5147, 476, 1839, 267, 476, 1001, 272, 454, 15987, 11875, 3999, 1488, 6425, 517, 781, 1412, 763, 4317, 10960, 262, 568, 606, 6909, 1433, 267, 543, 5693, 21490, 519, 1259, 267, 1412, 21848, 540, 31666, 7701, 262, 568, 519, 2582, 1655, 267, 1034, 8532, 762, 1433, 856, 972, 269, 898, 14509, 899, 513, 17680, 6137, 3209, 267, 543, 22851, 519, 5467, 998, 946, 540, 1806, 689, 2442, 2528, 543, 1134, 8153, 3377, 2984, 563, 763, 1433, 568, 1360, 2653, 547, 1174, 543, 9305, 547, 267, 799, 568, 5310, 1946, 621, 1568, 865, 1134, 563, 296, 723, 11751, 713, 1433, 1896, 2053, 936, 519, 2250, 4557, 610, 865, 1296, 267, 543, 2016, 621, 607, 513, 10516, 547, 2828, 5461, 538, 10017, 543, 929, 520, 673, 3156, 540, 5369, 563, 9336, 1268, 594, 723, 2016, 621, 547, 814, 711, 1044, 4744, 777, 31212, 267, 543, 814, 5555, 9684, 539, 803, 585, 519, 1433, 563, 296, 6415, 909, 547, 476, 1321, 1114, 2828, 563, 2026, 594, 723, 11751, 519, 1433, 1082, 2053, 267, 594, 723, 8068, 602, 1169, 4528, 540, 519, 1433, 568, 513, 2370, 1114, 269, 898, 3576, 9236, 513, 1906, 1114, 8747, 609, 1250, 2828, 267, 855, 267, 594, 8068, 602, 2398, 520, 16988, 529, 2965, 2242, 543, 10311, 519, 1806, 538, 519, 1433, 563, 1607, 568, 27229, 547, 948, 519, 1433, 3251, 811, 4143, 910, 621, 781, 513, 13085, 2856, 563, 7069, 1152, 9880, 540, 834, 21848, 540, 31666, 7701, 257, 568, 519, 6151, 1379, 540, 519, 960, 282, 1310, 2542, 621, 267, 594, 5433, 602, 621, 1223, 581, 1031, 607, 513, 1907, 547, 9718, 1996, 1739, 9420, 569, 910, 610, 1175, 607, 1574, 6053, 519, 9258, 563, 2005, 781, 2212, 344, 8631, 267, 543, 267, 1310, 596, 1224, 621, 267, 596, 949, 1589, 1018, 594, 2219, 281, 834, 32452, 910, 594, 9327, 1405, 1616, 713, 9991, 883, 519, 4636, 3946, 4799, 15563, 910, 824, 8039, 723, 5018, 513, 2797, 16786, 1369, 713, 1433, 910, 543, 910, 602, 568, 10750, 569, 7301, 269, 2755, 972, 616, 2797, 1806, 630, 16269, 616, 2442, 2528, 543, 3377, 1070, 789, 616, 1031, 547, 2491, 1808, 1514, 268, 17595, 2553, 693, 960, 910, 543, 4986, 811, 269, 11109, 1224, 519, 1433, 1896, 2053, 609, 1896, 1114, 21820, 267, 594, 723, 711, 8068, 1022, 2797, 16786, 610, 6249, 543, 594, 723, 2938, 1896, 1114, 5011, 540, 519, 2797, 8552, 1031, 607, 1806, 540, 4480, 269, 4329, 267, 607, 519, 1806, 616, 7683, 4657, 267, 1082, 540, 1346, 8292, 543, 824, 8039, 827, 1412, 335, 11823, 16786, 262, 1100, 3476, 1256, 4019, 910, 607, 519, 1806, 723, 1044, 8242, 609, 1007, 2797, 5515, 267, 27504, 267, 2797, 6105, 267, 543, 865, 1721, 628, 563, 763, 1152, 16786, 594, 723, 2938, 568, 519, 3586, 5048, 2429, 519, 21820, 912, 257, 2791, 1810, 1405, 723, 547, 581, 524, 2106, 673, 910, 855, 581, 811, 26617, 1701, 0, 30726, 2065, 540, 610, 581, 7257, 1154, 513, 3659, 454, 282, 6029, 11505, 281, 513, 7874, 28551, 563, 3697, 513, 3659, 282, 2186, 282, 5363, 281, 513, 2370, 7874, 5796, 563, 325, 2948, 2406, 26356, 282, 20916, 547, 29343, 267, 948, 267, 610, 1489, 281, 513, 7874, 4871, 563, 2254, 20935, 610, 693, 13065, 282, 993, 27809, 281, 513, 7874, 10617, 1222, 282, 7874, 25165, 563, 324, 6470, 547, 946, 267, 7500, 267, 1174, 267, 3092, 269, 630, 17141, 1031, 538, 4999, 2567, 513, 7082, 7888, 6044, 8261, 282, 513, 7874, 1426, 16267, 563, 293, 5987, 17349, 568, 519, 2034, 17581, 676, 519, 3703, 4224, 1895, 29571, 16466, 269, 634, 17581, 454, 13195, 3812, 676, 29571, 16466, 543, 8841, 717, 2459, 693, 14675, 9828, 267, 5507, 563, 26239, 11618, 585, 3659, 17349, 693, 634, 28445, 2593, 609, 1863, 2228, 519, 28445, 2676, 656, 11618, 267, 543, 8847, 269, 9218, 543, 6478, 540, 519, 4303, 563, 320, 269, 10886, 2065, 540, 610, 1969, 532, 607, 513, 3659, 281, 513, 7874, 28551, 282, 568, 7874, 609, 1010, 454, 31371, 26092, 269, 536, 269, 4934, 4707, 543, 16990, 538, 1514, 1894, 281, 513, 7874, 804, 17064, 269, 524, 563, 9616, 519, 946, 540, 910, 974, 609, 519, 8231, 2443, 4352, 519, 2995, 518, 543, 519, 6075, 4769, 1405, 2408, 547, 581, 2828, 267, 519, 2995, 518, 729, 1210, 5432, 1893, 607, 513, 1259, 540, 1373, 7874, 563, 288, 2147, 946, 540, 519, 512, 14243, 3029, 568, 3592, 519, 2343, 891, 2395, 538, 519, 2854, 1893, 891, 2395, 676, 890, 1862, 2859, 19314, 9596, 811, 827, 3659, 17349, 610, 524, 643, 1006, 267, 6382, 1634, 607, 519, 1148, 540, 3282, 532, 519, 454, 20253, 1564, 540, 1514, 5872, 267, 543, 1373, 513, 16990, 13959, 563, 11779, 569, 6161, 267, 1719, 267, 610, 1489, 2999, 1492, 1920, 729, 16397, 676, 519, 454, 23136, 17349, 540, 519, 22205, 12233, 285, 14271, 11618, 993, 640, 267, 1649, 5271, 565, 775, 2676, 297, 517, 5500, 14478, 1200, 267, 1010, 4158, 4064, 8066, 9039, 540, 519, 6107, 610, 3659, 17349, 1352, 454, 8145, 14801, 269, 7102, 4960, 540, 3106, 602, 2482, 538, 519, 3659, 17349, 540, 513, 2178, 5428, 538, 454, 12901, 11618, 281, 4652, 5987, 17349, 269, 771, 3697, 4810, 607, 606, 9000, 540, 3659, 17349, 563, 15650, 281, 993, 545, 1464, 267, 993, 545, 629, 30276, 269, 513, 771, 514, 743, 1588, 547, 29170, 7758, 269, 1434, 786, 267, 1434, 15884, 563, 13971, 476, 1839, 267, 476, 1001, 273, 3267, 31541, 17349, 568, 1373, 513, 1434, 3659, 267, 998, 1434, 2053, 543, 3983, 269, 1411, 1491, 606, 454, 15517, 538, 824, 1004, 543, 1118, 873, 1745, 20888, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 272, 267, 2979, 269, 10339, 8987, 323, 2700, 8987, 272, 267, 476, 272, 267, 1535, 267, 586, 264, 1262, 273, 9984, 26444, 1038, 2979, 269, 10339, 8987, 323, 2700, 263, 272, 267, 476, 271, 267, 1535, 267, 586, 264, 1262, 273, 11723, 311, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 994, 312, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 994, 1721, 1535, 538, 2473, 912, 825, 585, 586, 538, 962, 912, 1038, 952, 3375, 3287, 267, 586, 264, 2525, 272, 912, 2018, 12301, 19502, 3287, 267, 586, 267, 834, 337, 266, 5602, 1038, 3116, 912, 2018, 12301, 19502, 3287, 267, 586, 267, 834, 2692, 5602, 10823, 20481, 4590, 0, 18411, 7529, 4499, 2525, 454, 274, 291, 14649, 7120, 454, 7529, 4499, 2525, 692, 20779, 2970, 566, 540, 513, 2596, 14649, 7120, 538, 476, 274, 291, 563, 18257, 692, 5228, 544, 680, 4671, 944, 330, 1080, 6230, 7120, 274, 323, 1104, 16547, 525, 274, 291, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 3698, 1224, 274, 7894, 4202, 6600, 32327, 2187, 825, 3758, 815, 1930, 6600, 32327, 267, 1412, 337, 5073, 825, 1899, 815, 3758, 18667, 1467, 4590, 825, 521, 696, 272, 815, 11713, 825, 521, 696, 273, 815, 11713, 825, 1247, 1899, 912, 1038, 1899, 815, 1899, 18622, 2897, 28361, 333, 3299, 1412, 30386, 1038, 1899, 815, 1899, 21858, 3488, 30386, 1038, 952, 7003, 263, 1467, 264, 2999, 476, 277, 912, 2018, 2736, 454, 1038, 31575, 272, 815, 1496, 15615, 263, 1467, 314, 271, 25818, 10581, 263, 1467, 314, 272, 25818, 10581, 263, 1467, 314, 273, 8079, 2639, 1038, 521, 696, 272, 6910, 6025, 5404, 272, 994, 1038, 31575, 273, 815, 1496, 15615, 263, 1467, 314, 274, 25818, 10581, 263, 1467, 314, 275, 25818, 10581, 263, 1467, 314, 276, 8079, 2639, 1038, 521, 696, 273, 6910, 6025, 5404, 273, 994, 1038, 1899, 815, 3758, 18667, 1467, 4590, 825, 2132, 521, 696, 272, 267, 521, 696, 273, 7531, 14808, 815, 12301, 8807, 2682, 4590, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 9340, 267, 16879, 8782, 274, 323, 17210, 333, 815, 476, 1911, 692, 338, 696, 272, 267, 521, 696, 273, 815, 1224, 274, 7894, 4202, 3488, 4944, 1877, 303, 1206, 17902, 17210, 258, 1280, 1142, 1305, 540, 2511, 543, 2039, 5468, 267, 4729, 562, 4351, 2798, 538, 519, 4216, 454, 258, 3989, 676, 1535, 538, 1496, 2537, 267, 476, 3953, 3910, 586, 538, 1496, 271, 267, 476, 1911, 3910, 1990, 538, 1496, 345, 869, 267, 1990, 14683, 14073, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 4433, 696, 272, 15892, 825, 28887, 272, 815, 521, 696, 272, 5157, 2639, 825, 28887, 273, 815, 521, 696, 273, 5157, 2639, 825, 4949, 31892, 2660, 263, 696, 272, 314, 271, 3910, 28887, 272, 314, 272, 3910, 28887, 272, 314, 273, 3910, 524, 8782, 337, 3299, 15262, 8782, 334, 5073, 825, 4949, 31892, 2660, 263, 696, 273, 314, 271, 3910, 28887, 273, 314, 272, 3910, 28887, 273, 314, 273, 3910, 524, 8782, 321, 3299, 15262, 8782, 317, 17210, 1314, 15630, 13448, 16932, 3488, 311, 22443, 5073, 1314, 15630, 318, 29786, 3488, 312, 22443, 5073, 1314, 15630, 318, 345, 16932, 3488, 313, 22443, 17210, 10823, 20481, 3890, 0, 454, 15161, 815, 22373, 15812, 639, 2580, 834, 19878, 807, 2580, 834, 16655, 2580, 834, 13900, 1457, 257, 6540, 258, 1820, 263, 15161, 314, 271, 7481, 258, 1820, 263, 15161, 314, 272, 7481, 258, 1820, 263, 15161, 314, 273, 7481, 258, 1820, 263, 15161, 314, 274, 20285, 15161, 314, 272, 316, 815, 834, 297, 2544, 345, 5016, 322, 3300, 815, 476, 271, 454, 6112, 4831, 2999, 7003, 263, 15161, 2187, 825, 1948, 1820, 19304, 6262, 3300, 1341, 476, 272, 264, 1341, 834, 281, 834, 1341, 1004, 314, 322, 3300, 7481, 825, 1820, 2891, 24001, 281, 15079, 2668, 8971, 6262, 3300, 1341, 476, 272, 267, 1004, 314, 322, 3300, 28413, 825, 4831, 6834, 476, 272, 0, 454, 3698, 1250, 288, 342, 13135, 305, 27654, 31262, 27182, 17107, 825, 9258, 17504, 815, 834, 5016, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 27182, 15892, 1038, 11604, 303, 657, 815, 7003, 27182, 264, 910, 328, 910, 272, 454, 1038, 11604, 4131, 614, 815, 2262, 314, 18029, 2928, 303, 657, 6540, 1038, 9258, 17504, 6834, 11604, 4131, 614, 692, 825, 2132, 9258, 17504, 692, 3698, 21686, 2005, 10000, 27182, 17107, 825, 546, 14414, 17504, 815, 834, 5016, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 27182, 15892, 1038, 952, 1775, 3436, 476, 271, 912, 2018, 546, 14414, 17504, 6834, 29038, 4840, 1038, 546, 14414, 17504, 6834, 2262, 5157, 6540, 825, 2132, 546, 14414, 17504, 692, 5320, 815, 834, 10946, 574, 27482, 4840, 516, 341, 815, 1250, 288, 342, 13135, 305, 27654, 31262, 27182, 994, 323, 14414, 3725, 341, 815, 21686, 2005, 10000, 263, 516, 341, 2020, 2745, 5560, 14414, 3725, 341, 264, 0, 258, 17692, 29865, 4932, 19006, 692, 720, 815, 476, 278, 692, 2745, 2891, 4047, 17247, 302, 10590, 2020, 604, 2085, 13843, 476, 1240, 912, 825, 1820, 2891, 17647, 513, 14420, 32405, 12828, 912, 825, 952, 2085, 3436, 476, 277, 912, 1038, 1820, 2891, 5970, 513, 535, 761, 345, 32405, 825, 3116, 912, 1038, 1820, 2891, 5970, 930, 5144, 10590, 2020, 2745, 2891, 21715, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2450, 540, 519, 5705, 872, 609, 476, 275, 543, 476, 276, 607, 9136, 568, 476, 274, 543, 476, 273, 6606, 269, 3973, 267, 1317, 519, 5705, 872, 609, 476, 275, 568, 1804, 267, 649, 2161, 602, 476, 275, 568, 519, 5230, 5067, 540, 476, 274, 267, 4448, 609, 513, 5230, 6316, 269, 634, 5067, 5044, 538, 519, 3009, 5638, 519, 7329, 540, 519, 5230, 5067, 609, 519, 1699, 6843, 607, 519, 2385, 6843, 780, 10190, 519, 1985, 1900, 568, 547, 946, 519, 5044, 547, 7941, 519, 5832, 998, 519, 1665, 540, 519, 5230, 5067, 1175, 1631, 780, 3499, 961, 2250, 314, 301, 316, 270, 265, 288, 11837, 540, 546, 12028, 1931, 547, 1448, 10974, 265, 32551, 4206, 338, 314, 301, 316, 270, 265, 4206, 338, 1931, 540, 519, 1448, 265, 32551, 9008, 314, 301, 3910, 339, 582, 267, 551, 337, 314, 301, 30092, 341, 1355, 6376, 17301, 1093, 328, 267, 842, 512, 335, 264, 2260, 763, 1448, 543, 519, 1283, 540, 519, 5230, 5832, 1141, 519, 1699, 1448, 568, 4092, 454, 19127, 9008, 314, 335, 16211, 24557, 339, 335, 3248, 4206, 338, 314, 335, 16211, 24557, 10030, 339, 582, 3248, 335, 770, 314, 339, 582, 24557, 335, 16211, 3248, 604, 4433, 517, 314, 335, 16211, 8079, 6376, 4433, 517, 314, 335, 16211, 3910, 339, 335, 5148, 2260, 24876, 10862, 547, 519, 5230, 5832, 454, 1721, 17301, 1775, 284, 515, 314, 335, 16211, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 256, 284, 5459, 314, 335, 16211, 316, 261, 261, 30198, 256, 284, 17304, 314, 335, 16211, 8079, 6376, 6025, 541, 25722, 541, 5148, 2260, 2775, 5832, 454, 8679, 551, 337, 314, 335, 16211, 24557, 339, 582, 282, 2260, 763, 2039, 540, 5705, 872, 568, 546, 12028, 314, 335, 16211, 316, 349, 551, 337, 314, 335, 16211, 3910, 799, 5638, 519, 5021, 546, 12028, 1931, 540, 5705, 872, 609, 1093, 328, 607, 3597, 454, 8679, 7884, 763, 524, 13700, 5044, 1934, 5638, 519, 5021, 546, 12028, 27402, 540, 1142, 5705, 872, 267, 799, 568, 2965, 519, 3259, 540, 1142, 5832, 15652, 780, 10190, 267, 538, 1931, 547, 7520, 519, 13214, 540, 891, 11800, 267, 649, 991, 547, 946, 930, 824, 1239, 3889, 547, 2226, 891, 11800, 269, 3371, 267, 519, 1507, 9375, 3096, 513, 10126, 3529, 780, 3499, 842, 7003, 282, 2260, 2690, 546, 12028, 1931, 5638, 540, 1899, 10126, 3529, 2676, 560, 1192, 6843, 454, 19127, 842, 561, 267, 337, 267, 573, 331, 267, 573, 337, 270, 265, 4002, 519, 1297, 540, 2451, 543, 1318, 14930, 540, 7003, 781, 11837, 265, 270, 3248, 961, 524, 267, 17218, 282, 2260, 322, 2594, 519, 2597, 540, 5230, 5832, 454, 348, 29728, 314, 301, 30092, 341, 1355, 1899, 4671, 872, 17301, 1535, 267, 842, 586, 994, 19127, 10030, 6352, 3248, 29728, 314, 6352, 4940, 331, 24210, 3248, 29728, 314, 6352, 4940, 337, 284, 344, 3248, 29728, 314, 6352, 4940, 17218, 284, 271, 3248, 604, 3287, 2525, 344, 994, 19127, 29728, 314, 6352, 4940, 573, 331, 284, 29728, 314, 6352, 4940, 573, 337, 15871, 272, 3248, 29728, 314, 6352, 4940, 322, 284, 1998, 314, 335, 770, 20572, 14963, 282, 2260, 10831, 25528, 1394, 547, 519, 3312, 1292, 3529, 454, 8679, 12828, 454, 19127, 842, 1631, 284, 6352, 267, 13232, 14352, 343, 20742, 264, 9563, 272, 3248, 29728, 314, 852, 4940, 573, 331, 284, 6352, 266, 272, 267, 1467, 4671, 872, 3287, 267, 13232, 11850, 29728, 314, 852, 4940, 573, 337, 284, 6352, 266, 272, 267, 1467, 4671, 872, 9852, 573, 266, 272, 11971, 11850, 29728, 314, 852, 4940, 322, 284, 29728, 314, 29728, 314, 852, 4940, 573, 331, 4940, 322, 266, 29728, 314, 29728, 314, 852, 4940, 573, 337, 4940, 322, 3248, 8679, 8679, 341, 1355, 2366, 17301, 1535, 264, 2260, 2690, 519, 4647, 5106, 540, 519, 1899, 10126, 3529, 267, 519, 3735, 851, 568, 27823, 454, 19127, 604, 6025, 872, 20572, 4940, 17218, 994, 19127, 29728, 20572, 4940, 322, 23785, 29728, 20572, 4940, 17218, 16732, 29728, 20572, 4940, 337, 2389, 872, 20572, 4940, 331, 266, 272, 11850, 842, 7117, 284, 29728, 20572, 4940, 573, 331, 28872, 284, 29728, 20572, 4940, 573, 337, 3248, 604, 32429, 256, 15871, 272, 264, 3529, 314, 336, 4940, 17218, 23785, 29728, 20572, 4940, 17218, 25722, 872, 314, 335, 4940, 17218, 23785, 29728, 20572, 4940, 17218, 282, 2260, 2252, 972, 568, 513, 5067, 1310, 713, 6843, 267, 519, 4647, 5106, 568, 5340, 454, 29728, 20572, 4940, 17218, 284, 271, 3248, 8679, 8679, 7884, 2080, 267, 649, 946, 519, 2497, 607, 519, 3529, 1770, 267, 799, 568, 811, 10375, 585, 10916, 269, 769, 1249, 267, 621, 568, 25528, 998, 519, 2039, 540, 1142, 5832, 538, 519, 3529, 269, 769, 713, 1259, 267, 998, 519, 6498, 540, 5230, 5832, 543, 1769, 5832, 267, 519, 942, 6988, 540, 561, 1758, 666, 581, 6913, 585, 1142, 13214, 780, 1103, 1249, 267, 519, 13214, 666, 581, 7691, 1934, 269, 1215, 547, 1689, 519, 2597, 538, 519, 3529, 780, 3499, 341, 1355, 1689, 17301, 1631, 267, 842, 1535, 267, 842, 586, 267, 842, 1990, 994, 19127, 604, 6025, 872, 314, 852, 4940, 331, 2525, 343, 261, 261, 29728, 314, 852, 4940, 337, 2525, 344, 994, 19127, 29728, 314, 852, 4940, 17218, 23785, 345, 3248, 338, 550, 263, 852, 11850, 8873, 3248, 8679, 338, 550, 263, 852, 11850, 842, 7117, 284, 29728, 314, 852, 4940, 573, 331, 28872, 284, 29728, 314, 852, 4940, 573, 337, 3248, 842, 4571, 14352, 29728, 314, 852, 4940, 331, 266, 29728, 314, 852, 4940, 337, 264, 9563, 272, 3248, 604, 12169, 27045, 13232, 264, 1689, 32429, 21726, 11971, 267, 345, 11850, 12828, 952, 3287, 285, 13232, 264, 1689, 9638, 21726, 11971, 267, 345, 11850, 12828, 1689, 32429, 21726, 267, 13232, 267, 345, 1070, 4219, 9638, 267, 13232, 266, 272, 11971, 267, 345, 11850, 29728, 314, 852, 4940, 322, 266, 14352, 344, 14870, 266, 272, 12684, 345, 3248, 8679, 7884, 1103, 1249, 267, 1934, 568, 547, 12189, 519, 3259, 540, 519, 5832, 547, 7520, 519, 2597, 6771, 267, 543, 12189, 519, 2040, 1871, 538, 519, 1858, 780, 9202, 267, 649, 786, 13214, 780, 3499, 341, 1355, 561, 8619, 17301, 1535, 267, 842, 586, 267, 842, 1990, 994, 19127, 6112, 6025, 641, 20572, 316, 256, 284, 9008, 314, 344, 8079, 2260, 8253, 593, 835, 5832, 454, 19127, 604, 5560, 788, 314, 9008, 20572, 14963, 285, 24119, 314, 9008, 314, 344, 316, 8079, 23396, 3287, 11971, 5148, 2260, 763, 9949, 1871, 540, 2620, 3178, 568, 586, 10862, 547, 18178, 519, 14584, 3178, 540, 5230, 5832, 454, 4219, 263, 272, 267, 4206, 338, 314, 9008, 314, 344, 316, 3910, 4206, 338, 314, 344, 3910, 345, 5148, 2260, 9359, 689, 519, 1101, 6989, 454, 344, 284, 17304, 314, 9008, 314, 344, 14963, 3248, 8679, 604, 5560, 788, 20572, 316, 285, 24119, 314, 344, 8079, 23396, 3287, 11971, 5148, 2260, 1410, 4219, 454, 4219, 263, 272, 267, 4206, 338, 20572, 3910, 4206, 338, 314, 344, 3910, 345, 5148, 2260, 2691, 538, 519, 1482, 5230, 5832, 267, 9337, 1586, 454, 8679, 7884, 331, 8619, 568, 1031, 1934, 269, 4595, 519, 7329, 540, 519, 3312, 3529, 568, 2016, 1934, 267, 649, 991, 547, 946, 519, 7329, 540, 519, 25528, 10126, 3529, 267, 865, 649, 991, 547, 946, 546, 12028, 547, 1265, 621, 689, 519, 1101, 4494, 540, 519, 10126, 3529, 780, 3499, 341, 1355, 2040, 17301, 1535, 267, 842, 586, 264, 2260, 26574, 2040, 540, 7194, 1535, 349, 344, 454, 19127, 961, 20735, 284, 271, 3248, 6112, 6025, 641, 20572, 316, 256, 284, 9008, 314, 344, 7481, 19127, 604, 5560, 788, 314, 9008, 20572, 14963, 285, 24119, 314, 9008, 314, 344, 316, 8079, 23396, 3287, 11971, 11850, 753, 14352, 753, 266, 1326, 23544, 263, 272, 267, 4206, 338, 314, 9008, 314, 344, 316, 3910, 4206, 338, 314, 344, 8079, 260, 335, 264, 260, 335, 3248, 344, 284, 17304, 314, 9008, 314, 344, 14963, 3248, 8679, 604, 5560, 788, 20572, 316, 285, 24119, 314, 344, 8079, 23396, 3287, 11971, 11850, 753, 23785, 1326, 23544, 263, 272, 267, 4206, 338, 20572, 3910, 4206, 338, 314, 344, 316, 5148, 2260, 2704, 2819, 593, 519, 1482, 5230, 5832, 454, 802, 263, 753, 260, 335, 1070, 1584, 10420, 28361, 333, 10807, 3248, 8679, 7884, 28415, 3009, 692, 3499, 258, 514, 2850, 283, 322, 560, 323, 1470, 11417, 258, 514, 2850, 283, 328, 739, 3195, 11417, 6748, 4408, 10628, 31901, 3248, 1399, 6244, 1030, 1279, 1279, 26270, 3248, 6247, 26270, 715, 284, 273, 324, 276, 266, 1556, 3248, 961, 562, 31599, 267, 337, 28872, 3248, 842, 1904, 21726, 11971, 267, 345, 3248, 961, 524, 660, 267, 1998, 314, 301, 3910, 1729, 314, 301, 3910, 515, 314, 301, 3910, 333, 868, 314, 301, 30092, 19127, 961, 1535, 343, 284, 271, 3248, 10420, 524, 284, 1326, 10420, 3890, 3248, 6112, 6262, 283, 262, 271, 262, 1475, 322, 285, 262, 280, 10807, 524, 284, 1326, 10420, 3890, 3248, 6112, 6262, 285, 8782, 271, 262, 261, 261, 322, 283, 8782, 280, 5073, 19127, 16282, 14352, 16282, 28843, 272, 11924, 263, 16282, 28843, 274, 11924, 322, 268, 262, 271, 262, 3248, 322, 284, 1326, 10420, 3890, 3248, 8679, 8873, 1535, 343, 3248, 8679, 341, 1355, 31872, 263, 961, 1003, 994, 19127, 604, 16325, 285, 280, 264, 31872, 16325, 270, 1015, 961, 11850, 1584, 10420, 16325, 260, 1015, 22065, 271, 10807, 3248, 8679, 19127, 10030, 322, 660, 3248, 333, 868, 314, 322, 660, 24557, 515, 314, 340, 30092, 515, 314, 340, 24557, 322, 660, 3248, 1729, 314, 322, 660, 24557, 341, 3248, 8679, 961, 521, 714, 314, 301, 3910, 24119, 314, 301, 3910, 5459, 314, 301, 3910, 17304, 314, 301, 22049, 2260, 306, 517, 568, 519, 11282, 540, 519, 1390, 5067, 4171, 22660, 568, 1535, 454, 341, 1355, 1628, 4671, 872, 17301, 1631, 994, 19127, 338, 714, 314, 852, 24557, 272, 282, 2260, 23917, 540, 3355, 1436, 3529, 454, 1721, 17301, 1775, 284, 515, 314, 852, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 2525, 17304, 314, 852, 8079, 3136, 3248, 17304, 314, 30198, 24557, 852, 267, 24119, 314, 30198, 24557, 24119, 314, 852, 27994, 272, 3248, 28265, 4671, 872, 6025, 541, 11850, 338, 714, 314, 852, 316, 23785, 338, 714, 314, 30198, 30092, 604, 4433, 714, 314, 30198, 316, 285, 338, 714, 314, 5459, 314, 852, 316, 8079, 5067, 314, 852, 24557, 30198, 3248, 8679, 8679, 961, 2250, 314, 301, 316, 270, 265, 288, 11837, 540, 546, 12028, 1931, 547, 1448, 10974, 265, 32551, 4206, 338, 314, 301, 316, 270, 265, 4206, 338, 1931, 540, 519, 1448, 265, 32551, 9008, 314, 301, 3910, 339, 582, 267, 551, 337, 314, 301, 30092, 341, 1355, 6376, 17301, 1093, 328, 267, 842, 512, 335, 264, 2260, 763, 1448, 543, 519, 1283, 540, 519, 5230, 5832, 1141, 519, 1699, 1448, 568, 4092, 454, 19127, 9008, 314, 335, 16211, 24557, 339, 335, 3248, 4206, 338, 314, 335, 16211, 24557, 10030, 339, 582, 3248, 335, 770, 314, 339, 582, 24557, 335, 16211, 3248, 604, 4433, 517, 314, 335, 16211, 8079, 6376, 4433, 517, 314, 335, 16211, 3910, 339, 335, 5148, 2260, 24876, 10862, 547, 519, 5230, 5832, 454, 1721, 17301, 1775, 284, 515, 314, 335, 16211, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 256, 284, 5459, 314, 335, 16211, 316, 261, 261, 30198, 256, 284, 17304, 314, 335, 16211, 8079, 6376, 6025, 541, 25722, 541, 5148, 2260, 2775, 5832, 454, 8679, 551, 337, 314, 335, 16211, 24557, 339, 582, 282, 2260, 763, 2039, 540, 5705, 872, 568, 546, 12028, 314, 335, 16211, 316, 349, 551, 337, 314, 335, 16211, 3910, 799, 5638, 519, 5021, 546, 12028, 1931, 540, 5705, 872, 609, 1093, 328, 607, 3597, 454, 8679, 842, 7003, 282, 2260, 2690, 546, 12028, 1931, 5638, 540, 1899, 10126, 3529, 2676, 560, 1192, 6843, 454, 19127, 842, 561, 267, 337, 267, 573, 331, 267, 573, 337, 270, 265, 4002, 519, 1297, 540, 2451, 543, 1318, 14930, 540, 7003, 781, 11837, 265, 270, 3248, 961, 524, 267, 17218, 282, 2260, 322, 2594, 519, 2597, 540, 5230, 5832, 454, 348, 29728, 314, 301, 30092, 341, 1355, 1899, 4671, 872, 17301, 1535, 267, 842, 586, 994, 19127, 10030, 6352, 3248, 29728, 314, 6352, 4940, 331, 24210, 3248, 29728, 314, 6352, 4940, 337, 284, 344, 3248, 29728, 314, 6352, 4940, 17218, 284, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 1422, 3847, 315, 13997, 325, 4153, 3847, 263, 271, 9368, 9385, 2431, 315, 18098, 3847, 28381, 271, 9368, 315, 21456, 4375, 476, 4343, 1535, 701, 336, 273, 323, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 21508, 480, 9943, 315, 3847, 315, 13997, 325, 4153, 3847, 263, 271, 9368, 9385, 2431, 315, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 2412, 476, 2190, 476, 4375, 552, 336, 339, 6113, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 2715, 325, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 6078, 17093, 268, 271, 335, 20270, 414, 488, 351, 2410, 271, 13925, 8740, 507, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 5655, 476, 2412, 476, 6078, 861, 331, 277, 18091, 337, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 2715, 325, 13157, 346, 271, 13925, 8740, 507, 21456, 6246, 476, 5655, 608, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 1422, 3847, 20719, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 1729, 2715, 325, 13157, 346, 271, 13925, 8740, 507, 4153, 2431, 7751, 454, 4510, 476, 6246, 683, 935, 274, 611, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 1422, 3847, 20719, 325, 4153, 928, 2715, 271, 13925, 8740, 507, 4153, 1729, 2485, 361, 346, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 7751, 454, 3393, 476, 1240, 476, 4510, 544, 335, 323, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 2485, 361, 346, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 14204, 5379, 476, 3393, 552, 336, 271, 6113, 341, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 14204, 5325, 476, 5379, 608, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 2431, 7751, 454, 4366, 546, 23950, 743, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 1729, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 514, 2715, 11433, 499, 13925, 271, 21456, 5392, 562, 333, 271, 613, 271, 20270, 414, 488, 351, 4153, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 514, 2715, 11433, 499, 13925, 271, 4153, 1729, 476, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 7751, 454, 2004, 476, 736, 476, 4366, 476, 5392, 476, 274, 1910, 331, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 476, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 7751, 454, 7906, 7329, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 14204, 7367, 476, 271, 21129, 20270, 414, 488, 351, 4153, 341, 7568, 5847, 1422, 514, 1422, 9507, 346, 19226, 21456, 7871, 476, 7906, 476, 7367, 861, 331, 277, 18091, 601, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 21456, 7918, 476, 7871, 1979, 656, 337, 6324, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 264, 16378, 498, 315, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 4649, 535, 557, 336, 273, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 347, 7807, 3847, 24689, 341, 7568, 5847, 1422, 2431, 347, 14204, 6321, 19474, 271, 20270, 414, 488, 351, 4153, 3847, 24689, 341, 7568, 5847, 1422, 2431, 347, 284, 271, 14204, 6872, 476, 4649, 476, 6321, 861, 331, 277, 18091, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 347, 284, 271, 14204, 6812, 476, 6872, 1786, 336, 272, 323, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 264, 16378, 498, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 7751, 454, 6795, 476, 7918, 476, 6812, 3787, 337, 274, 323, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 264, 16378, 498, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 7751, 454, 2568, 476, 2004, 476, 6795, 861, 331, 276, 2320, 1260, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 8618, 476, 5325, 476, 2568, 861, 671, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 7830, 476, 8618, 678, 2102, 20270, 414, 488, 351, 4153, 1721, 718, 2715, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 28783, 3189, 22364, 346, 269, 275, 655, 2410, 271, 1410, 14990, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2404, 609, 4389, 3635, 4390, 543, 4057, 5834, 282, 2360, 602, 949, 581, 31903, 676, 18024, 269, 5637, 18024, 543, 4887, 25026, 4094, 22930, 723, 1044, 2404, 609, 5945, 543, 10913, 3034, 763, 19002, 1590, 723, 1434, 840, 3766, 877, 4189, 6208, 1991, 547, 519, 3014, 607, 1134, 607, 20697, 269, 4634, 538, 21617, 3275, 20697, 568, 1360, 1271, 269, 4340, 547, 30078, 13437, 267, 9232, 519, 1764, 540, 19346, 21455, 1282, 519, 3368, 942, 8884, 1223, 1134, 4096, 2390, 519, 1991, 4189, 6208, 540, 519, 6345, 269, 6684, 267, 519, 556, 5139, 1674, 2115, 267, 543, 4061, 519, 12117, 540, 3368, 942, 556, 5139, 1674, 2994, 267, 786, 4096, 593, 840, 3766, 877, 20697, 4567, 607, 1454, 607, 519, 4730, 2175, 543, 6345, 960, 3928, 269, 11846, 6484, 1235, 2324, 609, 30856, 13477, 17502, 1356, 15731, 723, 7074, 602, 5716, 1419, 2490, 909, 547, 2866, 1447, 5688, 958, 19872, 1282, 4411, 4365, 982, 538, 519, 28555, 3275, 269, 901, 949, 581, 1813, 547, 5716, 2285, 1447, 10862, 950, 519, 3141, 568, 711, 695, 15619, 543, 616, 23387, 540, 519, 2799, 1216, 11517, 9271, 538, 4411, 2175, 269, 715, 19153, 267, 2523, 32690, 267, 949, 2061, 9854, 543, 2569, 4887, 25574, 538, 519, 2034, 3368, 269, 634, 1034, 1271, 23386, 4503, 538, 17570, 568, 9770, 3034, 3383, 1934, 568, 519, 15059, 607, 7150, 676, 30078, 13437, 2223, 1454, 1382, 6920, 547, 5372, 9761, 267, 1648, 10053, 3536, 609, 811, 19346, 269, 1677, 11694, 1379, 547, 2597, 5223, 282, 1142, 6121, 540, 19346, 6740, 607, 4887, 25026, 4094, 568, 3808, 547, 476, 274, 326, 540, 1216, 267, 865, 952, 513, 6345, 6238, 609, 476, 4335, 326, 540, 4887, 25026, 4094, 543, 713, 568, 1031, 1282, 519, 3014, 621, 786, 5305, 476, 272, 269, 276, 326, 540, 1216, 269, 901, 5950, 1216, 568, 1271, 950, 6236, 519, 5714, 543, 1648, 4170, 693, 3368, 942, 269, 1703, 723, 1044, 5359, 540, 13558, 5716, 9561, 2185, 547, 2947, 20990, 829, 5662, 540, 17570, 538, 1360, 3905, 543, 18519, 5054, 543, 909, 547, 1614, 20990, 538, 22465, 16374, 267, 17570, 9271, 6251, 547, 1079, 20990, 829, 5662, 616, 811, 6093, 269, 769, 971, 2665, 267, 513, 3368, 942, 5714, 4616, 540, 1063, 476, 4335, 543, 476, 8517, 332, 3149, 1058, 581, 6190, 547, 2061, 6175, 538, 1560, 2527, 3152, 982, 476, 272, 260, 1282, 519, 2034, 3368, 563, 3383, 3314, 267, 19346, 15165, 543, 23386, 10682, 568, 1883, 585, 3368, 942, 2773, 547, 2057, 2530, 540, 4887, 25026, 4094, 267, 2061, 18024, 267, 2061, 9854, 543, 4887, 25574, 269, 1280, 2245, 19160, 267, 596, 666, 1869, 1832, 519, 10538, 21100, 1932, 563, 13126, 281, 30078, 13437, 281, 21009, 6066, 6484, 0, 14071, 2461, 27102, 519, 3409, 2223, 519, 11347, 1767, 563, 10673, 3534, 22415, 1117, 1524, 519, 10689, 11319, 1200, 5604, 7450, 3592, 6806, 563, 14881, 6557, 711, 2469, 547, 1689, 1250, 2247, 3034, 22081, 666, 596, 798, 602, 9495, 5213, 3534, 4280, 563, 2108, 5591, 7128, 1867, 729, 19429, 269, 589, 7198, 31713, 519, 2272, 3034, 2108, 9515, 15861, 1352, 729, 593, 1200, 1591, 6049, 2223, 5213, 3534, 1486, 6479, 563, 2108, 9515, 7012, 1406, 593, 1200, 6049, 3034, 10673, 3534, 779, 5639, 22815, 1027, 519, 6821, 269, 3213, 22086, 619, 1835, 532, 539, 1524, 519, 10689, 563, 9515, 1185, 4503, 1852, 563, 6944, 1503, 543, 1445, 454, 1432, 5012, 547, 856, 6361, 20820, 2623, 286, 634, 4806, 4667, 547, 581, 912, 268, 23985, 856, 540, 707, 1852, 4523, 454, 268, 898, 6927, 282, 596, 1745, 12219, 454, 268, 2659, 1445, 568, 593, 3843, 547, 1852, 1018, 568, 856, 540, 707, 1852, 454, 268, 1411, 616, 856, 540, 1852, 607, 10002, 8793, 2623, 3217, 936, 454, 763, 3152, 519, 9228, 3463, 267, 519, 811, 1582, 20820, 568, 2838, 269, 634, 811, 596, 1416, 267, 519, 811, 707, 1582, 20820, 786, 581, 7318, 563, 6944, 1503, 543, 519, 1480, 2783, 454, 20236, 880, 1145, 568, 513, 851, 540, 519, 1480, 2783, 563, 8005, 3085, 1406, 1616, 1018, 789, 1616, 267, 950, 789, 1616, 621, 286, 898, 779, 2067, 547, 13404, 593, 707, 1378, 5413, 610, 2115, 543, 6336, 8289, 540, 519, 824, 1268, 267, 2523, 538, 519, 4090, 540, 4655, 269, 674, 745, 1598, 566, 14556, 5809, 950, 6788, 616, 711, 1558, 563, 12024, 513, 555, 2794, 538, 519, 3781, 267, 7050, 6161, 609, 1582, 5932, 9228, 6937, 538, 4948, 4205, 269, 23299, 547, 3635, 1582, 20820, 15583, 919, 707, 2566, 267, 1437, 908, 519, 4339, 610, 8184, 3210, 563, 1607, 12214, 5114, 3123, 606, 2333, 538, 2295, 2557, 267, 1973, 2604, 267, 543, 7244, 2557, 547, 581, 4712, 585, 6370, 269, 2755, 1390, 585, 519, 26570, 267, 971, 513, 3210, 568, 10002, 8793, 538, 519, 9036, 563, 17730, 2230, 585, 1852, 454, 2414, 1489, 1582, 20820, 596, 1590, 10605, 3054, 269, 12861, 2230, 547, 1589, 538, 519, 968, 1740, 2897, 26570, 892, 568, 2838, 547, 7639, 519, 6049, 7125, 267, 11401, 267, 543, 796, 995, 325, 2683, 6788, 563, 17730, 2230, 547, 1589, 3340, 596, 547, 1491, 1852, 540, 3054, 269, 3371, 616, 2185, 3268, 547, 948, 596, 3035, 968, 10628, 3054, 892, 912, 303, 815, 23249, 543, 13236, 454, 288, 815, 2307, 2055, 454, 290, 815, 4161, 707, 4978, 454, 292, 815, 12575, 519, 1650, 454, 268, 623, 1021, 543, 13236, 1107, 901, 2337, 3500, 1919, 1524, 267, 12777, 543, 28772, 10999, 282, 3247, 543, 1589, 454, 268, 9105, 2055, 1107, 4208, 798, 594, 1745, 12219, 286, 1548, 993, 594, 12922, 540, 286, 1548, 798, 594, 1616, 585, 713, 2078, 286, 1548, 1705, 594, 2503, 286, 12984, 621, 10853, 2507, 888, 268, 7420, 707, 4978, 1107, 1548, 993, 594, 16561, 607, 3020, 267, 1318, 1631, 286, 1548, 616, 1250, 10054, 888, 268, 22478, 519, 1650, 1107, 1548, 798, 594, 1616, 585, 713, 2078, 286, 1548, 1590, 594, 798, 585, 602, 547, 4755, 888, 2691, 596, 968, 303, 19781, 3054, 892, 596, 1711, 2230, 547, 3635, 1582, 20820, 543, 1732, 2164, 563, 2691, 5213, 3534, 10630, 593, 519, 1650, 1352, 7691, 1352, 5059, 593, 1018, 729, 856, 540, 1200, 1852, 3079, 540, 1200, 2623, 269, 1548, 1223, 1352, 723, 2944, 8335, 888, 2691, 538, 4655, 1141, 798, 596, 1445, 888, 2080, 779, 547, 707, 8921, 5426, 267, 0, 301, 710, 3275, 1310, 519, 23542, 819, 540, 9040, 686, 16549, 329, 573, 538, 15718, 617, 268, 27256, 267, 3127, 267, 538, 5412, 476, 1960, 273, 267, 513, 10554, 729, 4371, 538, 6115, 267, 667, 5861, 1421, 23032, 676, 966, 27426, 540, 3013, 267, 519, 772, 2529, 269, 7936, 540, 31155, 11445, 9699, 3474, 880, 611, 630, 13328, 9699, 13909, 1040, 6736, 519, 1249, 602, 966, 27426, 630, 19328, 264, 1185, 1044, 17049, 676, 519, 4095, 2229, 339, 585, 922, 1909, 538, 519, 9552, 540, 9040, 686, 16549, 329, 573, 543, 538, 519, 27632, 1824, 602, 4553, 267, 1896, 966, 27426, 3401, 941, 4847, 547, 7390, 519, 476, 1960, 274, 10554, 896, 519, 840, 3667, 602, 968, 17471, 17496, 476, 1220, 271, 892, 729, 17033, 513, 2686, 2680, 267, 16287, 519, 1298, 32418, 16683, 540, 4210, 9564, 966, 633, 16988, 7701, 781, 476, 6245, 274, 2232, 547, 519, 2622, 12057, 540, 9671, 687, 538, 9628, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 17323, 267, 12020, 543, 4886, 454, 268, 24205, 543, 11572, 3163 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 4677, 267, 543, 6854, 972, 2394, 621, 729, 2922, 585, 519, 8227, 547, 29379, 873, 269, 901, 11587, 1932, 4797, 547, 581, 15422, 267, 543, 519, 5144, 2006, 779, 5067, 729, 1869, 23478, 519, 772, 3464, 592, 1149, 538, 519, 2038, 476, 2735, 271, 779, 547, 1665, 1010, 1920, 779, 14696, 269, 1261, 26845, 1540, 2781, 2084, 519, 6765, 950, 646, 1223, 1100, 3476, 1265, 4600, 547, 1832, 1010, 10683, 3484, 2469, 269, 634, 4587, 19946, 1131, 2995, 875, 519, 16933, 941, 24428, 593, 519, 6366, 8122, 950, 12219, 676, 555, 773, 1407, 1107, 875, 789, 8452, 972, 3788, 513, 9814, 19529, 839, 543, 17544, 1705, 711, 10460, 519, 1482, 1966, 910, 789, 941, 4443, 547, 4163, 909, 547, 519, 8122, 269, 901, 729, 2556, 607, 950, 789, 941, 2451, 3544, 519, 10051, 267, 789, 20374, 685, 16074, 269, 13518, 2705, 3788, 7164, 585, 519, 19946, 941, 26997, 547, 11291, 519, 1928, 540, 1346, 2053, 269, 15526, 729, 17237, 538, 1346, 2395, 519, 19946, 1131, 1256, 4584, 546, 9820, 625, 689, 519, 15989, 547, 948, 30993, 741, 17339, 563, 1103, 519, 4670, 968, 763, 25753, 2280, 543, 519, 4563, 1848, 631, 23950, 744, 685, 293, 5055, 615, 1399, 630, 294, 2958, 800, 3212, 1188, 264, 11432, 619, 875, 547, 2777, 519, 3703, 2011, 5443, 945, 723, 8452, 538, 7507, 5275, 12062, 269, 1261, 9597, 332, 2720, 602, 519, 772, 3464, 592, 1149, 616, 22125, 267, 543, 602, 1034, 540, 1010, 824, 5150, 4609, 941, 11338, 8572, 547, 1491, 538, 811, 1004, 269, 19198, 540, 7642, 941, 2016, 513, 4055, 829, 1920, 593, 938, 1283, 6989, 269, 634, 2146, 9333, 809, 547, 12404, 873, 543, 3049, 873, 269, 1703, 941, 7453, 3652, 269, 3143, 10618, 1063, 519, 15076, 538, 835, 4055, 729, 547, 1491, 1747, 609, 1346, 540, 1776, 269, 769, 713, 1259, 267, 1058, 835, 1268, 581, 9676, 267, 789, 1100, 2856, 540, 945, 3116, 729, 2713, 593, 519, 3791, 6989, 543, 3976, 20729, 1023, 941, 14284, 269, 1703, 568, 519, 1650, 540, 519, 812, 945, 5433, 865, 804, 320, 755, 5268, 11131, 602, 646, 581, 13949, 31274, 1836, 547, 581, 4847, 547, 3802, 5180, 519, 9018, 3774, 540, 519, 5572, 1175, 2899, 269, 1261, 729, 19230, 602, 952, 646, 2451, 519, 19235, 267, 646, 1131, 581, 9676, 5612, 676, 519, 7996, 7980, 267, 855, 646, 1223, 711, 581, 18617, 1547, 16828, 646, 4682, 1055, 1107, 543, 2760, 3357, 1394, 2336, 6624, 1296, 2663, 930, 540, 519, 3885, 540, 6014, 14538, 540, 519, 2112, 2395, 3357, 1394, 547, 519, 5572, 547, 1294, 585, 2933, 1141, 741, 11361, 1894, 1185, 1044, 2016, 9675, 689, 519, 10546, 269, 1358, 4718, 519, 3791, 6989, 267, 1141, 789, 5030, 543, 519, 6366, 8122, 1141, 519, 16933, 941, 6456, 543, 799, 849, 3177, 606, 3635, 2230, 585, 519, 7264, 634, 19946, 941, 4843, 609, 13344, 538, 14696, 585, 519, 4220, 543, 24279, 1500, 676, 519, 2146, 4180, 519, 3106, 540, 741, 3885, 454, 1911, 7642, 941, 2016, 12062, 693, 1114, 2053, 543, 538, 6284, 540, 713, 267, 6178, 7702, 1280, 333, 926, 267, 945, 1185, 18423, 609, 721, 267, 11231, 609, 519, 962, 611, 23849, 1335, 5948, 585, 519, 2022, 21065, 748, 6881, 540, 519, 29274, 540, 519, 9406, 15667, 1851, 519, 8315, 267, 547, 12624, 21322, 2473, 32667, 6742, 324, 879, 538, 519, 2012, 540, 519, 772, 3464, 592, 1149, 269, 0, 288, 7548, 540, 9553, 2366, 803, 513, 3095, 2899, 609, 519, 1362, 4967, 454, 5228, 1010, 6138, 540, 6128, 1576, 269, 3371, 781, 519, 3296, 593, 2271, 340, 819, 1143, 267, 14263, 930, 8642, 8631, 602, 4769, 1405, 5299, 9706, 4292, 563, 3719, 594, 1589, 922, 2614, 547, 2285, 596, 519, 2856, 563, 1103, 1010, 13898, 540, 9119, 1362, 4967, 267, 3220, 269, 14161, 30142, 344, 5206, 912, 8512, 4083, 281, 2271, 340, 819, 1143, 267, 589, 12059, 667, 3925, 454, 2862, 269, 272, 4937, 4985, 547, 2271, 340, 819, 1143, 454, 763, 20932, 626, 781, 4605, 540, 6128, 729, 1114, 269, 769, 6719, 513, 27402, 540, 519, 10002, 641, 983, 23006, 1014, 1935, 547, 6128, 563, 4504, 340, 819, 1143, 729, 8547, 538, 476, 5002, 278, 538, 519, 1912, 6185, 269, 12031, 540, 700, 269, 661, 269, 808, 269, 645, 709, 4546, 693, 519, 2160, 540, 24545, 269, 2991, 13629, 1010, 12031, 267, 646, 5189, 1896, 1271, 30490, 5376, 916, 267, 3976, 4758, 1864, 930, 13416, 6310, 23146, 563, 4504, 340, 819, 1143, 17947, 1079, 1271, 10952, 6436, 912, 289, 709, 4546, 781, 1684, 551, 9068, 734, 547, 581, 3020, 568, 547, 581, 4810, 282, 8726, 6818, 814, 922, 5169, 538, 938, 6857, 2219, 563, 12385, 3012, 673, 3615, 616, 7493, 267, 513, 1991, 328, 267, 3029, 540, 938, 11521, 1431, 563, 10521, 20212, 689, 23006, 454, 289, 709, 4546, 729, 513, 1151, 2354, 626, 269, 1261, 5156, 519, 1152, 2247, 729, 1010, 1378, 267, 543, 729, 1447, 7255, 609, 954, 11357, 915, 2032, 982, 729, 23006, 563, 289, 709, 4546, 15653, 519, 3409, 540, 606, 513, 1991, 328, 20932, 540, 2230, 269, 5502, 267, 646, 2219, 6128, 729, 1759, 7357, 593, 606, 513, 1991, 328, 20932, 540, 942, 282, 645, 709, 4546, 5156, 519, 2497, 540, 942, 10274, 782, 6857, 2238, 269, 634, 4527, 540, 1875, 7232, 16090, 22470, 9511, 771, 718, 3298, 513, 2582, 513, 1991, 328, 20932, 540, 2230, 563, 289, 709, 4546, 1590, 18949, 1978, 2694, 540, 6128, 2016, 1010, 1378, 10148, 269, 634, 2318, 1982, 540, 20932, 1143, 568, 513, 4070, 540, 6128, 607, 3908, 676, 645, 709, 4546, 781, 7869, 540, 3117, 4109, 1145, 269, 634, 2942, 1982, 540, 20932, 1143, 13187, 602, 3044, 6128, 568, 2965, 4636, 630, 528, 693, 2547, 22522, 1916, 289, 709, 4546, 1281, 8044, 602, 3044, 6128, 568, 22522, 282, 1010, 4661, 568, 1759, 593, 1010, 26381, 1670, 4998, 1143, 269, 645, 709, 4546, 2306, 2370, 11984, 1063, 23664, 6975, 543, 519, 15107, 517, 1235, 563, 5278, 540, 645, 709, 4546, 781, 25481, 4096, 593, 519, 13429, 602, 952, 513, 20790, 568, 3020, 267, 649, 666, 2097, 547, 917, 602, 621, 568, 3020, 563, 2862, 269, 273, 2271, 340, 819, 626, 781, 14716, 540, 519, 7849, 10606, 454, 1103, 14335, 519, 2067, 2338, 267, 972, 568, 835, 4909, 2856, 281, 1284, 723, 519, 2702, 547, 10646, 835, 3364, 689, 1776, 269, 3973, 267, 649, 1590, 7493, 689, 519, 3017, 1063, 519, 1079, 1919, 267, 543, 1205, 519, 1523, 540, 8108, 606, 11769, 609, 835, 851, 543, 1776, 851, 269, 3414, 713, 2534, 267, 519, 2067, 2338, 616, 9112, 282, 519, 2067, 1297, 835, 14687, 547, 519, 20932, 1354, 7900, 713, 2790, 2534, 267, 1247, 1079, 14687, 547, 519, 20932, 1310, 519, 2534, 269, 15901, 908, 519, 2790, 27727, 3947, 519, 7766, 2067, 2338, 269, 898, 568, 1271, 547, 13404, 1152, 593, 519, 957, 3294, 734, 7493, 539, 689, 519, 1543, 282, 835, 1590, 1413, 693, 519, 8900, 1106, 563, 7437, 713, 1505, 267, 519, 20932, 1235, 849, 17589, 519, 2596, 10230, 12427, 269, 1323, 3830, 912, 529, 519, 1867, 540, 2185, 2238, 281, 10451, 519, 2338, 267, 3168, 693, 1079, 540, 873, 1927, 267, 543, 9301, 789, 2811, 519, 1482, 607, 513, 3791, 269, 3657, 526, 19850, 1154, 263, 4649, 264, 1767, 519, 1909, 540, 513, 2979, 4116, 568, 547, 1118, 519, 2875, 4163, 856, 519, 1482, 2790, 2238, 607, 646, 1705, 563, 763, 1448, 540, 7493, 6310, 10035, 568, 547, 948, 721, 5352, 1978, 2238, 269, 16390, 540, 6128, 7493, 2476, 689, 519, 4890, 2790, 2238, 269, 8299, 571, 842, 340, 819, 1143, 4145, 3294, 609, 2168, 7687, 607, 1134, 269, 645, 709, 4546, 781, 3044, 20932, 1143, 3274, 7182, 721, 547, 1018, 568, 1710, 3202, 563, 6097, 547, 20932, 626, 3069, 267, 1487, 551, 1470, 740, 21494, 636, 15997, 616, 711, 1450, 762, 547, 6961, 602, 1945, 6818, 630, 24392, 789, 616, 11807, 585, 2942, 2164, 15301, 6321, 994, 2862, 269, 274, 2271, 340, 819, 626, 781, 14716, 540, 519, 7464, 10606, 454, 19370, 281, 634, 3105, 3157, 723, 13113, 7687, 593, 519, 1297, 540, 3268, 269, 634, 1305, 540, 1483, 2338, 3340, 20581, 538, 930, 1259, 610, 1776, 563, 289, 709, 4546, 267, 538, 1010, 12031, 630, 5002, 278, 1070, 6700, 513, 5094, 957, 540, 9637, 568, 2877, 585, 10451, 1483, 2338, 269, 1261, 1572, 621, 2712, 20932, 734, 513, 4909, 2856, 649, 782, 4865, 7222, 547, 519, 27795, 269, 634, 2712, 568, 2141, 3395, 269, 1635, 476, 4489, 279, 267, 2705, 267, 645, 709, 4546, 1185, 2016, 909, 519, 2856, 540, 519, 2712, 269, 3571, 2489, 2856, 729, 602, 621, 568, 519, 2898, 602, 568, 1271, 950, 6340, 540, 519, 1483, 2338, 269, 634, 2609, 540, 519, 2898, 616, 1287, 7493, 539, 998, 2175, 610, 7687, 269, 2290, 540, 519, 1292, 4128, 519, 2856, 540, 2712, 20932, 729, 23987, 729, 602, 621, 26218, 1022, 28879, 3730, 2497, 563, 18600, 2338, 666, 581, 2938, 607, 513, 4780, 7217, 5311, 540, 7787, 2338, 267, 855, 9696, 616, 12808, 269, 1717, 267, 513, 4020, 762, 5311, 267, 609, 513, 4542, 610, 4341, 2016, 547, 5352, 519, 2609, 267, 568, 1450, 762, 269, 4935, 267, 519, 4780, 7217, 5311, 1590, 581, 5827, 540, 1373, 6383, 676, 513, 4341, 269, 3943, 22697, 3576, 519, 2070, 602, 519, 1152, 1483, 2338, 602, 6818, 616, 1346, 602, 616, 4780, 7217, 9696, 540, 32311, 1023, 799, 616, 2301, 762, 269, 1717, 267, 645, 709, 4546, 8068, 519, 1305, 540, 2301, 762, 6620, 568, 679, 10179, 762, 630, 13757, 29039, 1297, 476, 271, 1040, 4935, 267, 649, 666, 1405, 6615, 519, 1483, 2338, 547, 713, 1305, 267, 1317, 621, 1131, 1287, 711, 723, 3601, 602, 519, 4608, 870, 762, 556, 1023, 723, 563, 289, 709, 4546, 781, 3070, 729, 513, 31633, 540, 519, 10206, 540, 606, 5690, 610, 4341, 547, 2285, 606, 4608, 870, 762, 1297, 540, 6620, 547, 2285, 1018, 568, 2877, 585, 556, 1023, 269, 901, 729, 519, 10206, 540, 513, 3903, 5311, 563, 2862, 269, 275, 14893, 14938, 1878, 454, 2419, 4069, 9696, 2099, 645, 709, 4546, 781, 1292, 9295, 547, 23006, 1014, 6128, 563, 302, 6113, 27274, 267, 606, 5690, 568, 513, 4341, 585, 12719, 519, 2609, 538, 513, 5311, 269, 5565, 1919, 21656, 606, 5690, 281, 476, 272, 264, 621, 568, 4341, 6438, 282, 543, 476, 273, 264, 621, 568, 15002, 2065, 630, 527, 3947, 4010, 835, 1871, 1040, 645, 709, 4546, 20902, 6620, 676, 3138, 657, 2287, 519, 10421, 602, 606, 5690, 581, 15002, 2065, 269, 634, 1267, 568, 513, 5311, 538, 799, 606, 3693, 540, 513, 5311, 568, 2111, 547, 581, 6074, 856, 540, 513, 1305, 540, 10457, 563, 288, 3903, 5311, 568, 2016, 676, 513, 15002, 2065, 4341, 547, 2285, 519, 1101, 1906, 2609, 267, 543, 513, 711, 16250, 947, 3320, 1673, 9057, 514, 2065, 4341, 585, 16116, 7766, 2609, 269, 645, 709, 4546, 11329, 856, 602, 713, 14687, 547, 606, 513, 1991, 328, 20932, 540, 942, 281, 519, 2250, 568, 6378, 267, 1247, 519, 2104, 5673, 593, 519, 2250, 267, 855, 1082, 7399, 2611, 563, 529, 513, 5311, 540, 32311, 1023, 563, 263, 272, 264, 815, 476, 16006, 267, 630, 273, 264, 815, 476, 16006, 267, 630, 274, 264, 815, 476, 16006, 267, 630, 275, 264, 815, 476, 16006, 454, 3799, 266, 272, 264, 568, 930, 7787, 1297, 971, 602, 912, 13295, 630, 276, 264, 568, 593, 2073, 543, 630, 277, 264, 5673, 593, 1018, 568, 13603, 585, 630, 276, 1916, 763, 28138, 3903, 5311, 568, 519, 5311, 1031, 547, 5352, 8918, 8454, 563, 13706, 3989, 4010, 607, 568, 912, 529, 513, 5311, 540, 32311, 1023, 563, 263, 272, 264, 815, 476, 16006, 267, 630, 273, 264, 815, 476, 16006, 267, 630, 274, 264, 815, 476, 16006, 267, 630, 275, 264, 815, 476, 16006, 454, 3799, 266, 272, 264, 568, 930, 7787, 1297, 971, 602, 912, 6701, 543, 519, 1482, 286, 1684, 789, 27721, 547, 519, 1482, 1483, 1297, 286, 1284, 1810, 1405, 543, 3112, 917, 256, 2368, 1271, 2055, 827, 3903, 9696, 616, 711, 2626, 762, 538, 513, 13113, 2179, 540, 942, 269, 4935, 267, 972, 568, 1100, 5168, 7282, 2055, 827, 519, 7862, 540, 543, 1547, 1284, 1810, 1405, 1256, 917, 952, 649, 3513, 917, 519, 2626, 538, 513, 13113, 2179, 540, 942, 563, 289, 709, 4546, 1185, 547, 556, 1740, 1305, 3069, 547, 14626, 728, 609, 1010, 824, 25481, 269, 7201, 1010, 4528, 540, 1305, 3069, 267, 519, 11984 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 14756, 503, 22047, 10533, 368, 12255, 12255, 14756, 482, 8147, 19867, 378, 28996, 4970, 353, 14748, 12255, 12916, 379, 23523, 501, 10524, 500, 10524, 361, 7511, 25520, 419, 511, 487, 30678, 22047, 14756, 503, 27936, 7511, 12255, 3077, 12486, 692, 12916, 510, 421, 506, 478, 28884, 14395, 508, 27064, 364, 7511, 16583, 30936, 18314, 11764, 421, 506, 478, 28884, 13213, 498, 18713, 508, 30244, 4970, 353, 14748, 12255, 7511, 31284, 21550, 485, 267, 13127, 373, 370, 4970, 498, 21588, 361, 22047, 31284, 21550, 485, 16533, 493, 30678, 21588, 361, 11590, 490, 14748, 31284, 21550, 485, 12486, 21796, 357, 418, 482, 493, 30244, 19404, 490, 31284, 21550, 485, 7511, 420, 490, 481, 18713, 368, 15159, 476, 271, 476, 28996, 562, 268, 272, 12486, 692, 21550, 371, 28032, 489, 454, 7078, 272, 912, 14756, 503, 24731, 2338, 815, 1496, 273, 267, 476, 278, 267, 476, 1556, 267, 476, 1428, 3910, 3077, 815, 476, 280, 267, 476, 13213, 498, 18713, 508, 1496, 271, 267, 476, 272, 14073, 7078, 273, 912, 14756, 503, 24731, 2338, 815, 1496, 1428, 267, 476, 273, 267, 476, 278, 267, 476, 1556, 3910, 3077, 815, 476, 280, 267, 476, 13213, 498, 18713, 508, 1496, 272, 267, 476, 273, 14073, 418, 490, 495, 16043, 502, 454, 292, 2416, 540, 519, 1739, 3435, 616, 11807, 1384, 302, 3799, 264, 6611, 267, 744, 3799, 331, 1758, 264, 5384, 454, 302, 3799, 264, 6611, 267, 744, 3799, 264, 5384, 454, 21796, 357, 418, 482, 493, 11590, 489, 421, 350, 373, 454, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 9463, 359, 20069, 13601, 14756, 482, 419, 511, 498, 418, 350, 486, 25707, 12163, 5035, 8827, 912, 825, 8173, 825, 7711, 12407, 2338, 281, 1323, 5044, 540, 6715, 518, 454, 825, 7711, 12407, 3077, 281, 3077, 815, 2338, 27709, 272, 316, 1341, 2338, 27709, 273, 2639, 825, 7711, 8873, 281, 1496, 8161, 272, 267, 4994, 273, 316, 630, 8161, 272, 2999, 4994, 273, 994, 825, 8173, 825, 1219, 1079, 11764, 4311, 267, 2338, 267, 3077, 2187, 1038, 1948, 2328, 707, 3009, 1934, 454, 1038, 585, 1775, 538, 2039, 12759, 3799, 13246, 264, 2567, 1948, 17276, 504, 368, 20693, 505, 25335, 352, 25622, 454, 2018, 795, 815, 3077, 910, 2338, 5157, 2639, 2018, 952, 630, 329, 538, 2338, 543, 2338, 28827, 27203, 264, 11203, 1775, 2187, 3546, 2132, 15044, 8443, 328, 267, 2338, 28827, 27203, 264, 8079, 0, 9336, 10831, 22091, 9426, 17342, 316, 3097, 1721, 2338, 538, 2039, 630, 6200, 2567, 3097, 825, 5272, 10831, 22091, 9426, 6910, 3799, 13246, 1262, 273, 264, 3097, 8999, 272, 284, 271, 454, 1721, 1297, 538, 5272, 10831, 22091, 9426, 912, 825, 2040, 272, 23785, 15893, 825, 692, 8999, 15058, 7272, 10062, 5332, 13246, 17342, 2639, 1721, 9704, 538, 2039, 263, 6200, 2187, 825, 2040, 15058, 7272, 10062, 5332, 13246, 6910, 5560, 580, 1080, 994, 8931, 8999, 273, 284, 271, 454, 1721, 9704, 538, 2040, 15058, 7272, 10062, 5332, 13246, 912, 825, 2040, 273, 23785, 21745, 1080, 692, 2745, 4433, 636, 273, 994, 343, 14352, 8999, 273, 1262, 273, 994, 2745, 3287, 1606, 636, 272, 264, 0, 454, 258, 519, 31554, 786, 1491, 513, 5569, 540, 6151, 3403, 689, 513, 3593, 543, 2132, 513, 4845, 602, 781, 7768, 540, 513, 1592, 540, 8913, 1255, 609, 519, 630, 307, 10498, 2894, 267, 654, 16704, 264, 6292, 902, 269, 1403, 513, 2262, 3884, 1405, 851, 540, 519, 20750, 6625, 267, 1287, 621, 1058, 1869, 2132, 476, 519, 654, 16704, 855, 1305, 519, 9215, 298, 2894, 547, 606, 5470, 18351, 269, 1452, 5470, 21797, 786, 2995, 3755, 789, 3190, 539, 909, 780, 29715, 687, 815, 18358, 333, 2180, 3299, 1412, 338, 1926, 3299, 1412, 324, 770, 3299, 1412, 8054, 3299, 1412, 6658, 3299, 1412, 1575, 3299, 1412, 3847, 3299, 1412, 2431, 3299, 1412, 3724, 23300, 18690, 815, 18358, 2998, 3299, 1412, 17380, 3299, 1412, 26973, 3299, 1412, 324, 520, 23300, 17380, 815, 18358, 1492, 3299, 1412, 514, 3299, 1412, 5228, 3299, 1412, 520, 3299, 1412, 527, 3299, 1412, 1993, 23300, 333, 10494, 815, 18358, 21830, 3299, 1412, 321, 792, 3299, 1412, 1440, 514, 947, 3299, 1412, 322, 629, 6839, 262, 6540, 454, 3698, 6460, 20311, 4433, 2187, 825, 2119, 912, 1038, 2132, 703, 4433, 994, 825, 4849, 28759, 912, 1038, 2132, 7183, 692, 3698, 11571, 9272, 23952, 2187, 825, 1913, 815, 3403, 23952, 21858, 4590, 825, 2262, 8217, 815, 11713, 825, 585, 2262, 538, 1913, 912, 1038, 952, 2262, 538, 8846, 912, 2018, 18351, 815, 1412, 323, 3925, 7055, 1038, 8640, 2262, 538, 13450, 912, 2018, 18351, 815, 1412, 14620, 7055, 1038, 8640, 2262, 538, 3247, 912, 2018, 18351, 815, 1412, 17380, 7055, 1038, 8640, 2262, 538, 17205, 912, 2018, 18351, 815, 1412, 29825, 7055, 1038, 8640, 6460, 20311, 27182, 264, 11203, 7183, 912, 2018, 18351, 815, 1412, 15893, 7055, 2018, 2262, 815, 6460, 20311, 27182, 264, 1948, 713, 568, 28537, 267, 10912, 6460, 20311, 7466, 454, 1038, 3116, 912, 2018, 18351, 815, 1412, 19587, 7055, 1038, 2262, 8217, 6910, 9230, 339, 7505, 267, 2262, 4917, 825, 2132, 2262, 8217, 692, 0, 328, 815, 476, 272, 454, 329, 815, 476, 278, 692, 1721, 1775, 538, 2039, 263, 272, 267, 1015, 267, 273, 2187, 825, 795, 815, 476, 278, 454, 825, 585, 1535, 538, 2039, 263, 274, 2187, 1038, 1820, 2891, 296, 284, 24001, 808, 284, 24001, 2668, 8971, 9217, 25814, 4917, 1038, 795, 268, 284, 272, 0, 343, 815, 703, 9272, 15405, 344, 815, 703, 9272, 15405, 338, 5448, 815, 476, 271, 692, 604, 1535, 13843, 586, 912, 825, 585, 1775, 538, 2039, 12169, 21726, 266, 272, 2187, 1038, 952, 1775, 260, 1724, 11203, 271, 912, 2018, 1474, 320, 23785, 328, 454, 12828, 912, 825, 585, 1775, 538, 2039, 3287, 11971, 266, 272, 2187, 1038, 952, 1775, 260, 1724, 11203, 271, 912, 2018, 1474, 320, 23785, 328, 692, 2745, 4433, 5448, 264, 0, 550, 2784, 320, 815, 1592, 9852, 777, 263, 15615, 267, 3403, 14061, 20889, 3890, 4917, 550, 2784, 320, 31699, 4590, 550, 2784, 320, 18622, 2091, 10797, 320, 815, 1303, 2784, 320, 314, 271, 2639, 321, 815, 1303, 2784, 320, 314, 272, 2639, 322, 815, 1303, 2784, 320, 314, 273, 6540, 604, 513, 13843, 536, 25239, 912, 825, 1820, 2891, 301, 7776, 1106, 320, 2468, 836, 25222, 2668, 21639, 15405, 12828, 1384, 825, 952, 513, 1262, 273, 2652, 630, 321, 1262, 273, 11924, 263, 322, 1262, 273, 2187, 1038, 1820, 2891, 28256, 836, 25222, 1427, 836, 25222, 2668, 21639, 31156, 825, 952, 513, 265, 320, 3436, 536, 265, 321, 1341, 524, 265, 322, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 744, 6630, 4785, 20315, 8085, 302, 15419, 825, 952, 513, 265, 320, 2999, 536, 265, 321, 1341, 524, 265, 322, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 8028, 7473, 20315, 8085, 302, 15419, 825, 952, 513, 2652, 536, 2652, 524, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 661, 12702, 6579, 2969, 2207, 302, 15419, 825, 8640, 513, 2652, 536, 610, 513, 2652, 524, 610, 536, 2652, 524, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 4959, 5308, 4753, 299, 2464, 5602, 0, 343, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 272, 267, 6200, 2187, 825, 562, 815, 703, 9272, 15405, 825, 952, 562, 285, 343, 912, 1038, 1535, 815, 562, 454, 1038, 1064, 3821, 334, 815, 1775, 454, 2745, 3287, 994, 2745, 263, 1842, 3821, 334, 264, 0, 328, 815, 476, 271, 454, 6112, 1775, 283, 273, 912, 825, 585, 795, 538, 2039, 263, 272, 267, 275, 2187, 1038, 952, 1775, 2525, 271, 610, 1775, 2652, 476, 272, 610, 1775, 13843, 476, 272, 269, 280, 912, 2018, 1820, 2891, 296, 284, 10065, 271, 325, 808, 284, 10065, 271, 325, 257, 4939, 263, 328, 25814, 266, 328, 4917, 1038, 3116, 281, 8931, 2018, 1820, 2891, 296, 284, 24001, 808, 284, 24001, 2668, 8971, 263, 1037, 9217, 267, 272, 1070, 1037, 27203, 266, 328, 267, 272, 21875, 825, 1775, 23785, 271, 269, 273, 0, 12163, 17958, 4970, 353, 14748, 21550, 486, 14395, 508, 27064, 364, 22047, 421, 502, 509, 28578, 12486, 421, 502, 509, 28578, 7511, 417, 352, 364, 13107, 492, 417, 28187, 31284, 8147, 13644, 371, 14395, 508, 27064, 364, 14395, 481, 7511, 4970, 353, 14748, 16583, 30936, 16289, 307, 841, 13127, 23687, 18419, 23175, 5236, 376, 490, 454, 26166, 10254, 360, 14395, 490, 29873, 21928, 421, 502, 509, 28578, 16533, 378, 421, 481, 357, 418, 493, 496, 24662, 10533, 368, 12255, 25520, 21928, 421, 502, 509, 28578, 14035, 368, 421, 481, 357, 10254, 510, 30522, 353, 10533, 368, 12255, 7511, 20693, 509, 420, 25693, 12486, 263, 420, 489, 354, 421, 502, 509, 28578, 18809, 418, 366, 350, 20069, 30317, 27381, 510, 8147, 1372, 8541, 23175, 1109, 418, 497, 491, 30853, 13213, 498, 18713, 508, 910, 272, 25589, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 454, 14277, 290, 20075, 826, 14824, 6572, 307, 841, 14824, 1372, 8541, 23175, 14824, 1372, 8541, 23175, 31116, 314, 314, 25662, 274, 25662, 25662, 27663, 27447, 24731, 16088, 314, 333, 1638, 19885, 1638, 267, 274, 16427, 272, 2639, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 454, 14277, 290, 20075, 826, 14824, 1372, 8541, 23175, 14824, 6572, 307, 841, 14824, 6572, 307, 841, 14824, 1372, 8541, 23175, 14824, 1372, 8541, 23175, 31116, 314, 314, 25662, 25662, 276, 25662, 273, 25662, 25662, 27663, 27447, 24731, 16088, 314, 333, 1638, 16427, 272, 19885, 1638, 19885, 1638, 267, 276, 267, 273, 2639, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 2418, 10922, 476, 1911, 876, 454, 31006, 14035, 504, 25263, 504, 28098, 1109, 6572, 307, 841, 18998, 1372, 8541, 23175, 476, 13213, 505, 27310, 1109, 1911, 876, 1109, 418, 361, 350, 420, 364, 481, 17958, 454, 20701, 5035, 595, 20075, 826, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14714, 871, 272, 815, 29571, 4590, 1038, 1582, 14714, 871, 273, 815, 29571, 10797, 825, 1219, 16289, 307, 841, 4311, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 14714, 871, 272, 4877, 2313, 263, 7407, 2020, 825, 1948, 1219, 18419, 23175, 4311, 264, 9847, 703, 912, 825, 1948, 672, 952, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 825, 1948, 1363, 2132, 910, 272, 454, 825, 1948, 454, 825, 1948, 672, 1247, 711, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 825, 1948, 1363, 1582, 14714, 871, 273, 4877, 2313, 4311, 14714, 871, 272, 21014, 15405, 825, 1948, 454, 825, 1948, 672, 1267, 815, 1582, 14714, 871, 273, 21014, 4590, 825, 1948, 672, 1247, 711, 1582, 14714, 871, 273, 18994, 318, 24105, 10031, 825, 1948, 1363, 1582, 14714, 871, 272, 4877, 2313, 4311, 14714, 871, 273, 21014, 15405, 825, 1948, 454, 825, 1948, 672, 2132, 1267, 692, 825, 1219, 18419, 23175, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 14714, 871, 273, 18994, 318, 24105, 10031, 2018, 1247, 711, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 3546, 1582, 14714, 871, 273, 4877, 2313, 4311, 14714, 871, 272, 21014, 31156, 2018, 1267, 815, 1582, 14714, 871, 273, 21014, 4590, 1038, 3116, 912, 2018, 1267, 815, 1582, 14714, 871, 273, 21014, 10797, 1038, 2132, 1267, 7531, 5035, 29571, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4289, 815, 29129, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 7003, 4311, 269, 4289, 264, 2652, 476, 271, 692, 825, 1219, 7903, 4311, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 269, 4289, 6910, 263, 7407, 2020, 825, 1219, 1402, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 2132, 910, 272, 692, 1038, 2132, 1582, 269, 4289, 21014, 10797, 825, 1219, 1283, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 2132, 910, 272, 692, 1038, 2132, 1582, 269, 4289, 15631, 272, 6540, 454, 258, 2659, 595, 20075, 826, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 28128, 815, 595, 20075, 826, 4590, 28128, 6910, 307, 841, 263, 276, 994, 28128, 6910, 307, 841, 263, 273, 994, 2745, 263, 28128, 19709, 8541, 23175, 15405, 2745, 263, 28128, 19709, 8541, 23175, 15405, 2745, 263, 28128, 19709, 8541, 23175, 28829, 0, 12163, 14756, 503, 27936, 22047, 30837, 508, 420, 368, 509, 10533, 368, 12255, 12255, 14756, 482, 25520, 22047, 10533, 368, 12255, 1109, 332, 8147, 12916, 510, 421, 506, 478, 28884, 16533, 484, 30244, 14748, 12255, 14756, 482, 26166 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 32091, 1133, 2193, 2051, 514, 10484, 1103, 513, 2487, 981, 267, 594, 729, 14376, 547, 4194, 1269, 1321, 343, 317, 273, 910, 476, 6795, 343, 1341, 476, 7761, 284, 271, 259, 1510, 513, 9498, 269, 1772, 602, 513, 10257, 3364, 547, 2307, 2496, 25802, 594, 3433, 3798, 2750, 4897, 6874, 4381, 25826, 324, 692, 17098, 267, 17886, 4953, 292, 267, 543, 594, 1810, 1405, 16620, 596, 585, 1373, 3444, 910, 538, 513, 1875, 23343, 1529, 1807, 981, 267, 594, 6415, 711, 2386, 602, 2731, 4255, 519, 4675, 2216, 569, 12830, 10341, 596, 2811, 5921, 547, 723, 780, 6546, 1767, 267, 621, 781, 711, 7543, 780, 2162, 6396, 476, 272, 281, 1210, 519, 4542, 692, 1607, 568, 513, 3787, 22266, 267, 855, 621, 666, 581, 2944, 281, 952, 1269, 320, 284, 1321, 8961, 1269, 321, 15871, 6795, 259, 543, 1269, 322, 284, 7761, 8961, 596, 723, 4399, 2765, 346, 6795, 1422, 10975, 1422, 6912, 346, 8987, 6795, 8203, 273, 910, 476, 275, 263, 1321, 7565, 7761, 264, 12453, 273, 263, 1321, 264, 23201, 7183, 540, 602, 568, 2523, 8799, 267, 855, 1269, 6795, 317, 273, 815, 476, 4097, 279, 272, 8961, 799, 596, 1223, 1205, 676, 9750, 18159, 2568, 268, 272, 8203, 273, 259, 282, 1269, 275, 1422, 9392, 476, 1321, 1422, 9392, 476, 7761, 815, 476, 4366, 1422, 9392, 476, 7761, 815, 630, 2568, 268, 1321, 7565, 2568, 266, 1321, 264, 815, 476, 11740, 271, 910, 476, 13893, 815, 476, 24833, 277, 16859, 763, 3017, 1063, 1346, 568, 476, 1839, 267, 865, 519, 2462, 4009, 3597, 3587, 476, 276, 269, 2659, 4267, 616, 4399, 2765, 346, 6795, 1422, 10975, 476, 276, 2410, 2190, 20954, 610, 4399, 2765, 346, 5038, 2410, 2190, 18098, 2765, 346, 279, 2410, 274, 4151, 543, 4399, 2765, 346, 7918, 2410, 2190, 18098, 2765, 346, 280, 2410, 275, 31859, 2162, 6396, 476, 273, 281, 3815, 2358, 630, 272, 2020, 2791, 666, 849, 1404, 519, 834, 332, 20723, 2338, 257, 3014, 594, 4312, 14437, 827, 11992, 267, 543, 1265, 2188, 540, 1269, 1321, 1422, 9392, 476, 7761, 259, 602, 2040, 547, 1269, 268, 6795, 10608, 8074, 602, 594, 1810, 1405, 2731, 1416, 1018, 1269, 1321, 1422, 9392, 476, 7761, 259, 568, 910, 594, 6415, 1175, 2469, 547, 960, 609, 519, 2188, 827, 2394, 594, 1265, 513, 6292, 602, 1568, 780, 5278, 1919, 594, 5469, 281, 1312, 540, 519, 9059, 2338, 1590, 581, 2942, 282, 849, 267, 835, 1590, 581, 1256, 543, 835, 9642, 630, 1278, 3772, 741, 2040, 1131, 581, 1256, 6393, 4517, 8726, 1269, 1321, 1422, 9392, 476, 7761, 259, 568, 267, 621, 3085, 1405, 723, 782, 602, 1082, 9642, 2188, 269, 4706, 6305, 3815, 5314, 568, 1269, 273, 317, 276, 1422, 9392, 476, 274, 317, 274, 8961, 865, 922, 1152, 2942, 9642, 2188, 616, 910, 272, 267, 910, 274, 267, 910, 280, 543, 910, 2767, 269, 2986, 1346, 267, 1269, 8987, 2767, 264, 1341, 11196, 3953, 7751, 3947, 519, 2838, 1269, 268, 6795, 16859, 306, 5902, 1154, 519, 3312, 4082, 909, 607, 1269, 1321, 343, 317, 273, 910, 476, 2767, 343, 910, 476, 3953, 343, 1341, 476, 7761, 8961, 594, 1205, 1269, 274, 343, 263, 275, 343, 268, 280, 264, 910, 476, 279, 263, 275, 343, 268, 280, 7751, 610, 18159, 274, 343, 268, 279, 7565, 275, 343, 268, 280, 7751, 607, 1354, 780, 2162, 6396, 476, 274, 281, 3815, 2358, 630, 273, 2020, 6546, 1505, 1705, 2864, 4096, 593, 31986, 1945, 8799, 827, 519, 2188, 269, 1323, 4244, 1935, 568, 513, 4693, 543, 6454, 1505, 547, 1294, 799, 3815, 8424, 616, 1932, 2673, 1927, 610, 1932, 2484, 6306, 780, 2690, 1383, 267, 649, 917, 602, 1269, 268, 1321, 1422, 9392, 910, 7761, 259, 1131, 2285, 519, 2556, 1297, 910, 2705, 267, 1269, 8987, 1321, 264, 1341, 11196, 7761, 6661, 268, 10019, 8961, 799, 1797, 602, 6292, 568, 1932, 2484, 6306, 269, 1924, 267, 1577, 781, 2119, 30945, 519, 910, 1321, 543, 10300, 1324, 519, 910, 7761, 1384, 259, 8987, 2190, 264, 1341, 11196, 3607, 264, 815, 910, 2568, 8961, 799, 568, 2673, 267, 855, 1869, 1932, 2484, 6306, 910, 865, 938, 2188, 991, 547, 581, 1063, 910, 2190, 543, 910, 3607, 269, 2311, 2547, 835, 540, 873, 814, 547, 581, 513, 2789, 540, 476, 274, 267, 865, 938, 10457, 616, 910, 2767, 267, 910, 1789, 543, 910, 3451, 282, 910, 1789, 666, 1405, 960, 630, 11004, 781, 1100, 3815, 540, 476, 276, 264, 543, 9444, 666, 910, 3451, 630, 7224, 3815, 540, 476, 1556, 1070, 865, 910, 2767, 568, 938, 1152, 8929, 269, 589, 2370, 960, 630, 20123, 28745, 519, 1101, 676, 4399, 2765, 346, 280, 2410, 279, 4151, 543, 519, 2034, 676, 4399, 2765, 346, 279, 2410, 280, 4151, 3947, 519, 1482, 910, 2767, 543, 910, 3953, 607, 1354, 6393, 2162, 6396, 476, 275, 281, 11264, 519, 4009, 780, 32513, 13124, 286, 594, 1611, 1862, 596, 666, 798, 621, 267, 855, 594, 6415, 711, 2386, 596, 9364, 1616, 547, 780, 2791, 1439, 909, 609, 1945, 899, 1269, 1321, 13375, 24560, 3847, 3287, 910, 1422, 2765, 346, 6795, 2410, 2190, 4153, 2431, 8203, 273, 9368, 316, 910, 1422, 2765, 346, 6795, 317, 273, 2410, 4366, 15396, 7761, 815, 476, 271, 16859, 6546, 786, 2097, 856, 21453, 281, 4399, 3847, 24560, 3847, 3287, 910, 1422, 2765, 346, 6795, 2410, 2190, 4153, 2431, 8203, 273, 9368, 316, 815, 1422, 2765, 346, 6795, 317, 273, 2410, 275, 24585, 476, 1321, 317, 273, 348, 910, 476, 277, 259, 910, 855, 713, 1630, 2812, 1524, 547, 519, 1482, 12980, 538, 1505, 476, 272, 780, 3383, 267, 17886, 4953, 292, 281, 621, 781, 2009, 547, 798, 267, 855, 594, 1810, 1405, 1589, 621, 781, 606, 2523, 1434, 3364, 547, 581, 4280, 547, 798, 896, 2604, 538, 606, 981, 780, 28775, 602, 2337, 2439, 290, 692, 265, 3798, 1243, 476, 1001, 278, 268, 5400, 268, 1626, 547, 4368, 513, 19000, 5470, 780, 1012, 2051, 514, 692, 8624, 514, 568, 513, 1284, 2096, 1926, 13004, 20131, 267, 2278, 540, 1896, 13174, 1280, 667, 27186, 2835, 543, 589, 7400, 13004, 10274, 269, 1261, 3323, 674, 2391, 2051, 2293, 13174, 538, 476, 1220, 279, 269, 1261, 2729, 609, 606, 17611, 637, 810, 1494, 543, 4986, 547, 6961, 780, 2971, 9523, 692, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 292, 327, 286, 3733, 1101, 2219, 568, 602, 621, 3580, 3815, 1047, 607, 30967, 275, 343, 1107, 513, 7565, 274, 343, 1107, 536, 14638, 267, 1141, 3230, 320, 1422, 10383, 536, 815, 476, 7761, 2330, 543, 3230, 274, 320, 1341, 476, 275, 321, 815, 476, 6795, 21974, 3733, 1101, 7058, 693, 3815, 2358, 3230, 7761, 2330, 568, 3230, 280, 1422, 9392, 476, 279, 18079, 543, 594, 5469, 602, 3230, 320, 17070, 2330, 568, 9642, 267, 865, 621, 814, 547, 581, 30967, 275, 343, 268, 280, 7565, 274, 343, 268, 279, 14638, 780, 296, 1810, 1406, 1589, 621, 779, 602, 11389, 32208, 513, 13392, 267, 607, 2484, 607, 23722, 9076, 18267, 979, 780, 296, 1236, 5792, 513, 2603, 540, 4693, 543, 5470, 676, 18822, 5079, 972, 267, 799, 594, 1589, 519, 1305, 1562, 786, 723, 1044, 12948, 593, 780, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 28989, 267, 602, 779, 3230, 274, 320, 266, 275, 321, 2330, 568, 9642, 780, 1892, 476, 7462, 2051, 514, 692, 3963, 1281, 621, 723, 547, 581, 1269, 274, 343, 259, 543, 1269, 275, 343, 259, 2864, 982, 1269, 343, 259, 543, 1269, 1321, 343, 259, 286, 630, 7775, 729, 602, 835, 540, 519, 18822, 7058, 525, 286, 2020, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 6546, 729, 835, 540, 1250, 18822, 7058, 525, 269, 1703, 941, 1152, 1614, 5079, 585, 519, 3815, 5314, 540, 3230, 1321, 343, 317, 273, 18079, 865, 621, 9327, 1406, 723, 3144, 1932, 1279, 547, 2638, 873, 782, 780, 296, 4898, 952, 972, 779, 1945, 4277, 2620, 1369, 713, 2243, 281, 6266, 540, 1250, 13986, 3815, 31907, 1439, 909, 6721, 3230, 1321, 343, 317, 273, 1107, 476, 2568, 343, 1341, 7761, 18079, 799, 814, 513, 1455, 3815, 540, 3230, 1321, 21974, 1411, 666, 4341, 891, 3815, 31907, 856, 1354, 9750, 873, 1175, 676, 711, 6005, 602, 835, 3368, 814, 513, 3586, 1455, 3815, 267, 552, 3052, 269, 30967, 1321, 268, 2190, 7565, 343, 268, 274, 264, 815, 476, 1321, 3287, 268, 273, 7565, 343, 268, 274, 264, 9681, 3383, 519, 2016, 3830, 568, 968, 821, 2476, 892, 689, 513, 12863, 835, 269, 2052, 649, 946, 602, 1249, 547, 1753, 538, 593, 519, 3070, 811, 3533, 2496, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 1103, 1249, 267, 596, 666, 4341, 856, 30967, 273, 343, 266, 320, 7565, 277, 343, 17070, 14638, 5612, 1317, 972, 779, 1100, 1259, 602, 3580, 3132, 606, 9642, 3230, 343, 2330, 2165, 780, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 258, 9978, 11038, 9119, 692, 1012, 5384, 10025, 540, 14559, 692, 300, 2292, 568, 2808, 547, 4502, 811, 519, 19692, 621, 568, 5833, 267, 610, 952, 621, 568, 2139, 538, 519, 1459, 780, 1607, 568, 1317, 2724, 538, 519, 1459, 666, 581, 1031, 543, 16539, 547, 5352, 513, 2132, 1247, 2724, 547, 581, 4397, 538, 519, 2104, 3112, 581, 1031, 269, 5384, 1871, 540, 2724, 568, 4299, 676, 1312, 519, 5712, 540, 942, 1373, 2808, 607, 1134, 607, 519, 10958, 2557, 585, 12719, 1459, 1871, 780, 26296, 6128, 1223, 581, 3989, 607, 519, 1353, 540, 519, 1871, 540, 2724, 538, 942, 780, 1607, 1062, 2337, 596, 1174, 543, 946, 713, 1523, 269, 1411, 666, 4019, 621, 547, 1483, 1272, 3871, 281, 10753, 753, 267, 15894, 9315, 32439, 543, 14205, 902, 780, 1012, 2549, 677, 1436, 15873, 692, 299, 334, 753, 543, 9806, 616, 9916, 998, 7515, 5627, 2143, 1344, 540, 1142, 1974, 540, 519, 2165, 267, 1519, 1974, 3666, 267, 7389, 267, 13350, 1719, 267, 1689, 540, 519, 1974, 3666, 630, 21406, 993, 677, 1436, 593, 12029, 264, 543, 1419, 513, 3803, 4737, 693, 519, 5377, 5627, 519, 9103, 1023, 585, 1142, 540, 891, 2035, 780, 1607, 1062, 10525, 2407, 993, 677, 1436, 12125, 593, 782, 519, 6810, 827, 12029, 543, 9806, 269, 22549, 899, 519, 3283, 789, 2285, 596, 693, 519, 4871, 2439, 1012, 2598, 25068, 692, 1607, 6881, 729, 2813, 585, 3872, 5301, 267, 621, 568, 896, 6024, 2689, 543, 6454, 543, 896, 1100, 1797, 1058, 621, 581, 2808, 2883, 18973, 269, 4706, 17354, 4433, 264, 543, 922, 17404, 4433, 264, 723, 1100, 15752, 547, 1683, 1022, 1106, 540, 1808, 2883, 10066, 3823, 9541, 543, 9806, 547, 922, 3755, 780, 18770, 823, 827, 9541, 543, 9806, 1590, 2097, 1152, 689, 13931, 8804, 4648, 269, 901, 568, 513, 1907, 547, 1451, 2439, 1012, 12937, 692, 15368, 923, 540, 9314, 692, 19950, 454, 14240, 281, 14559, 9901, 676, 513, 561, 2658, 547, 513, 10210, 518, 585, 513, 10211, 936, 513, 2016, 2165, 267, 7229, 607, 513, 6824, 610, 6712, 540, 519, 10211, 781, 1871, 563, 26594, 9314, 11822, 1719, 568, 513, 2656, 1505, 540, 12719, 519, 1719, 5279, 593, 513, 10211, 780, 4002, 713, 2985, 596, 666, 5173, 476, 275, 4632, 540, 2241, 1719, 281, 10558, 1871, 267, 8892, 1871, 267, 1719, 2557, 543, 1297, 540, 5712, 563, 7883, 454, 15253, 895, 9314, 3281, 895, 1719, 630, 528, 7623, 532, 1719, 264, 568, 1719, 7229, 593, 519, 3355, 9030, 267, 799, 849, 2882, 782, 540, 519, 19017, 1719, 540, 3105, 5712, 540, 513, 16005, 610, 10211, 269, 769, 824, 1913, 267, 1719, 593, 1719, 780, 4002, 713, 2985, 596, 666, 5173, 476, 275, 4632, 540, 7623, 1719, 281, 10558, 1871, 267, 8892, 1871, 267, 1719, 2557, 543, 1297, 540, 5712, 563, 7883, 692, 306, 822, 902, 692, 293, 12089, 11270, 545, 14205, 902, 454, 14240, 281, 14205, 902, 9967, 538, 513, 6378, 2179, 540, 2724, 936, 513, 1297, 540, 5712, 21248, 1169, 942, 538, 930, 5092, 6174, 610, 9806, 2272, 602, 17188, 1055, 513, 2016, 1719, 2557, 563, 31306, 14205, 902, 6726, 566, 540, 519, 2698, 1871, 602, 786, 581, 19017, 950, 9494, 513, 1634, 6378, 2179, 267, 2016, 519, 13350, 1719, 2557, 543, 519, 1297, 540, 5712, 269, 3619, 454, 12507, 628, 569, 14205, 902, 547, 19793, 557, 513, 30540, 25779, 6726, 566, 540, 519, 2179, 596, 1590, 4688, 585, 513, 2016, 1297, 540, 5712, 693, 513, 6378, 1719, 2557, 547, 3914, 513, 9806, 3804, 269, 3619 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4692, 596, 948, 17412, 1018, 3751, 14880, 568, 3843, 547, 2161, 547, 11184, 717, 1177, 664, 538, 1142, 1257, 563, 268, 3973, 519, 3751, 26017, 1864, 547, 4473, 543, 2097, 4464, 543, 646, 11542, 3533, 267, 15336, 609, 1533, 569, 3268, 547, 9054, 601, 1354, 519, 4622, 543, 3409, 1010, 14049, 269, 14880, 19942, 621, 936, 543, 4371, 1010, 1688, 547, 2285, 1864, 2696, 779, 26460, 269, 2060, 513, 19914, 12837, 646, 9901, 1864, 547, 581, 25836, 538, 2295, 563, 268, 634, 4622, 1287, 26017, 602, 646, 3533, 1058, 4473, 267, 543, 646, 11593, 909, 13427, 543, 2047, 14059, 267, 9054, 9934, 1208, 29087, 1354, 1010, 1164, 1145, 267, 543, 18413, 1688, 593, 519, 14049, 282, 543, 646, 561, 990, 5944, 882, 22055, 1639, 621, 267, 543, 17666, 1010, 1688, 5795, 1864, 2696, 779, 26460, 267, 543, 1178, 19290, 679, 14765, 1441, 1864, 602, 1010, 1688, 543, 1010, 2295, 1058, 581, 25836, 7567, 269, 2048, 12648, 1416, 267, 23013, 16224, 844, 1054, 519, 4622, 267, 2048, 821, 2759, 547, 2232, 267, 543, 952, 23524, 1451, 652, 1864, 1010, 3992, 267, 594, 3494, 1360, 1134, 602, 23524, 530, 2830, 7703, 1022, 9514, 602, 646, 3947, 1394, 2663, 19028, 268, 3973, 14880, 26017, 519, 27585, 547, 4473, 267, 543, 646, 9782, 909, 3533, 543, 5679, 3881, 1524, 1354, 519, 4622, 267, 543, 9575, 3180, 540, 519, 14049, 282, 543, 519, 4622, 3138, 2216, 1010, 3180, 540, 621, 267, 543, 24850, 909, 1010, 1688, 267, 543, 5795, 1864, 1010, 26460, 267, 543, 536, 1228, 1864, 581, 2178, 1312, 540, 2295, 543, 1688, 269, 968, 16605, 26899, 1134, 267, 683, 15343, 342, 2223, 844, 1054, 14880, 267, 968, 7474, 23524, 2285, 1864, 855, 519, 835, 9514, 267, 543, 952, 23524, 2699, 652, 1864, 1318, 569, 594, 512, 992, 23524, 695, 5306, 1134, 705, 728, 519, 8482, 646, 949, 2285, 26899, 1310, 3034, 268, 1924, 519, 19988, 25009, 1010, 27585, 547, 1796, 269, 15775, 547, 1010, 3952, 646, 6410, 1178, 19290, 4464, 1656, 5679, 3881, 1354, 14880, 267, 2921, 3180, 540, 519, 4949, 324, 269, 2913, 1154, 979, 540, 621, 267, 14880, 1287, 4371, 909, 1010, 1688, 547, 2285, 1762, 717, 1177, 664, 519, 26460, 540, 2696, 543, 4126, 646, 9060, 6109, 1145, 538, 2295, 543, 31329, 269, 968, 12648, 1416, 267, 1762, 23013, 267, 547, 6952, 1864, 2973, 569, 267, 8196, 2407, 15918, 797, 539, 3196, 1287, 596, 991, 333, 1406, 4250, 519, 9514, 799, 646, 27938, 547, 4123, 538, 2132, 3034, 268, 1548, 798, 9358, 3494, 14880, 779, 5796, 547, 717, 1177, 664, 568, 6730, 875, 798, 596, 15475, 713, 5796, 786, 948, 717, 1177, 664, 607, 519, 1650, 22264, 286, 0, 11045, 569, 5832, 1107, 634, 5046, 476, 866, 6855, 814, 6157, 1185, 519, 1764, 540, 922, 1198, 593, 519, 1158, 269, 9483, 10832, 543, 1072, 723, 1044, 4299, 543, 782, 6080, 616, 20109, 1369, 513, 1259, 610, 1776, 269, 2290, 540, 519, 6080, 538, 799, 713, 729, 5693, 7805, 1131, 581, 519, 6683, 543, 1426, 1870, 563, 1103, 476, 1001, 280, 267, 519, 10656, 8105, 543, 1426, 5823, 8329, 476, 277, 269, 275, 4939, 547, 519, 14407, 6469, 1587, 630, 290, 7034, 267, 476, 1708, 271, 1040, 1306, 829, 519, 5253, 306, 16291, 2382, 15856, 583, 267, 519, 3536, 16291, 2872, 538, 519, 13814, 12628, 24843, 476, 278, 269, 272, 5479, 538, 476, 1708, 271, 269, 634, 24756, 1870, 4503, 476, 6078, 269, 276, 4939, 540, 922, 24826, 607, 1397, 676, 1160, 10810, 618, 301, 566, 267, 1247, 693, 519, 9838, 942, 2706, 5658, 1115, 2799, 519, 24826, 540, 741, 338, 609, 24843, 476, 272, 269, 279, 5479, 563, 11514, 4533, 687, 540, 519, 1426, 5832, 723, 1713, 4539, 585, 519, 10656, 4346, 543, 1426, 3354, 607, 513, 2603, 540, 8639, 616, 4299, 269, 4634, 1498, 621, 729, 2312, 547, 5354, 540, 1004, 602, 972, 729, 513, 1713, 1764, 693, 519, 1439, 540, 713, 5832, 630, 324, 3052, 1421, 11876, 8973, 1472, 1426, 6990, 267, 14060, 14656, 264, 607, 1134, 607, 693, 519, 4098, 540, 713, 5832, 630, 324, 3052, 1421, 19122, 12277, 711, 10478, 585, 5561, 1070, 972, 616, 3875, 11051, 538, 519, 2707, 5832, 585, 602, 519, 1764, 568, 1454, 1447, 2312, 269, 898, 779, 3976, 16122, 602, 596, 4137, 856, 875, 5265, 519, 1426, 3761, 5832, 607, 513, 2898, 568, 5423, 547, 25077, 609, 21463, 269, 12824, 689, 519, 15051, 3194, 543, 8298, 2524, 6828, 693, 25538, 2287, 523, 20513, 543, 849, 4947, 689, 25538, 2287, 523, 13188, 3194, 267, 3366, 676, 7905, 590, 6387, 632, 10557, 17703, 267, 6594, 519, 7506, 540, 519, 5046, 476, 866, 6855, 2429, 519, 1426, 3761, 5832, 269, 1358, 1759, 519, 2079, 540, 741, 338, 593, 11042, 609, 827, 13977, 10656, 2707, 5832, 11051, 563, 23921, 1369, 10685, 909, 267, 1336, 1426, 3028, 1524, 898, 568, 7805, 543, 2442, 602, 3747, 538, 519, 3536, 16291, 10473, 4682, 1524, 1813, 547, 519, 19479, 540, 14060, 267, 10838, 1866, 269, 769, 513, 1906, 8320, 267, 6455, 585, 21527, 540, 519, 1426, 3028, 2872, 3976, 8593, 547, 827, 476, 736, 4939, 540, 519, 3312, 4320, 269, 1306, 513, 2427, 1198, 267, 3747, 538, 519, 1592, 9055, 4682, 909, 543, 7283, 693, 513, 1377, 540, 513, 2889, 343, 574, 520, 11481, 476, 1015, 268, 736, 4939, 2362, 982, 1354, 519, 2042, 3323, 563, 303, 20094, 799, 1185, 547, 2097, 998, 13383, 1185, 741, 1360, 1378, 2042, 269, 2060, 519, 1689, 538, 991, 4947, 689, 3536, 16291, 547, 10685, 267, 519, 10421, 585, 11183, 4957, 13497, 267, 2859, 17646, 267, 7484, 610, 5068, 729, 2838, 585, 9849, 538, 7082, 11183, 269, 1306, 1454, 811, 540, 713, 1587, 11183, 1570, 8694, 909, 538, 6800, 685, 5321, 607, 10353, 547, 538, 4025, 267, 519, 21312, 9657, 1062, 3893, 22314, 849, 267, 4929, 22520, 563, 763, 10593, 538, 3747, 723, 1185, 606, 1271, 1764, 593, 2504, 2238, 269, 769, 513, 1906, 2665, 267, 713, 1256, 5921, 513, 2347, 3247, 538, 3977, 630, 324, 3052, 269, 538, 519, 21868, 8105, 1870, 267, 799, 7153, 547, 513, 1796, 560, 650, 593, 2272, 540, 3747, 2887, 856, 593, 519, 3536, 16291, 5823, 1040, 769, 824, 8320, 267, 513, 2101, 6712, 540, 519, 10986, 26438, 1351, 7431, 630, 324, 3052, 269, 538, 519, 1585, 16469, 4393, 2872, 1070, 4929, 513, 19479, 540, 3937, 563, 11045, 569, 5832, 1107, 17392, 2238, 941, 849, 4299, 269, 634, 1376, 540, 519, 4856, 7431, 6433, 538, 3624, 3361, 519, 2095, 540, 4262, 25510, 547, 3500, 1524, 7168, 4166, 538, 476, 1708, 271, 269, 901, 8507, 538, 3908, 3560, 5122, 4390, 2429, 519, 1101, 4374, 540, 519, 2042, 267, 543, 1164, 3790, 585, 8708, 3560, 607, 513, 1463, 1267, 269, 22427, 1188, 6283, 5185, 1114, 2152, 269, 2311, 1101, 267, 972, 941, 24604, 593, 875, 3560, 786, 581, 17411, 585, 10665, 267, 799, 538, 519, 1279, 2196, 941, 711, 607, 14461, 607, 21787, 269, 2334, 799, 729, 16609, 538, 1082, 2665, 267, 20866, 267, 729, 519, 10333, 540, 5179, 1235, 563, 763, 5114, 547, 5046, 268, 866, 1107, 1683, 5832, 6043, 634, 2707, 5832, 6043, 2079, 4371, 676, 4515, 269, 632, 10557, 17703, 543, 30793, 8046, 267, 729, 1759, 593, 519, 7650, 540, 713, 1292, 1919, 540, 3761, 5832, 6043, 912, 8794, 713, 1880, 5943, 585, 519, 4879, 540, 519, 5967, 267, 519, 2164, 5815, 602, 711, 1082, 3906, 1185, 1044, 1134, 5423, 585, 519, 1351, 7431, 6433, 543, 2965, 6140, 4294, 17841, 2409, 269, 634, 1034, 1271, 3761, 5832, 4245, 941, 912, 8201, 476, 272, 269, 20640, 1655, 2409, 585, 6980, 3761, 5832, 6043, 454, 2690, 26784, 267, 519, 991, 547, 1374, 519, 3761, 5832, 585, 17545, 607, 1134, 607, 22231, 269, 901, 5654, 2523, 4101, 585, 4130, 3549, 281, 2679, 6043, 883, 513, 3761, 5832, 3217, 942, 543, 3007, 538, 519, 3919, 267, 543, 4130, 3906, 2356, 1810, 1406, 723, 519, 12588, 547, 9585, 602, 563, 13553, 267, 621, 729, 4362, 602, 811, 1719, 729, 2877, 593, 10825, 3463, 543, 849, 17935, 585, 1981, 5786, 538, 519, 3761, 5832, 269, 1280, 519, 2104, 267, 1018, 713, 1797, 568, 2484, 811, 3007, 1058, 581, 3177, 547, 519, 1259, 3906, 1293, 593, 14273, 267, 5561, 267, 543, 1808, 2477, 563, 23612, 267, 3007, 568, 2877, 585, 8763, 3922, 1436, 543, 15931, 32311, 532, 2994, 538, 3871, 1141, 3747, 666, 1406, 581, 1558, 269, 1401, 14032, 3922, 1436, 568, 2556, 547, 3136, 547, 2743, 2344, 6788, 855, 538, 1840, 547, 5818, 2344, 8843, 1141, 15712, 4413, 3255, 269, 901, 4161, 3884, 1406, 1007, 267, 1498, 621, 779, 538, 1840, 1044, 3768, 699, 343, 12723, 538, 713, 2042, 543, 729, 2356, 711, 851, 540, 4549, 2218, 18697, 563, 19177, 628, 569, 267, 519, 1351, 7431, 2042, 2982, 721, 602, 519, 2804, 1764, 540, 513, 6433, 538, 1840, 568, 5462, 676, 519, 1259, 9316, 538, 519, 5832, 568, 1305, 909, 269, 898, 779, 2356, 15458, 875, 2417, 3790, 630, 663, 2640, 264, 616, 2366, 856, 538, 513, 5832, 267, 952, 693, 782, 563, 7661, 267, 3448, 547, 824, 3483, 995, 13623, 267, 519, 4238, 543, 3761, 5832, 1568, 616, 2965, 538, 519, 6117, 10160, 1282, 513, 6433, 269, 8605, 1646, 543, 10229, 2238, 991, 547, 979, 1688, 538, 2620, 1688, 609, 3761, 5832, 2238, 269, 6787, 519, 1351, 7431, 6855, 786, 1785, 12147, 1689, 519, 2757, 9270, 1063, 5108, 543, 17825, 593, 519, 835, 1688, 543, 10229, 543, 6725, 593, 519, 824, 1688, 267, 519, 1761, 2104, 786, 991, 547, 2491, 547, 563, 1692, 568, 519, 10656, 1426, 3761, 5832, 12003, 2429, 519, 1351, 7431, 6433, 286, 0, 273, 526, 6103, 19343, 16974, 9664, 454, 6812, 9735, 9251, 16439, 2238, 563, 273, 526, 3446, 554, 9994, 8696, 7801, 3817, 269, 19343, 2979, 1249, 7801, 9212, 269, 901, 3845, 1565, 2979, 2534, 1305, 2882, 476, 279, 3059, 7801, 3817, 18622, 1613, 2596, 1840, 1299, 12408, 5013, 609, 891, 24440, 3029, 602, 2285, 1053, 8216, 5955, 269, 1411, 7654, 666, 4647, 713, 3239, 267, 2824, 968, 323, 5877, 3239, 892, 543, 4688, 4605, 547, 707, 2123, 2780, 563, 1103, 2034, 3446, 267, 789, 2461, 1565, 811, 543, 972, 779, 865, 1454, 811, 789, 666, 798, 543, 917, 269, 2608, 3769, 3059, 2681, 676, 3009, 281, 769, 2034, 3446, 267, 789, 2461, 1565, 811, 543, 972, 779, 865, 1454, 811, 789, 666, 798, 543, 917, 563, 13043, 7801, 9212, 585, 1840, 267, 12408, 267, 8691, 543, 6498, 269, 8564, 543, 4647, 689, 713, 3638, 4015, 540, 476, 2412, 266, 554, 9994, 8696, 2979, 7801, 3817, 2592, 693, 1205, 9526, 902, 2593, 269, 4569, 4976, 31417, 554, 9994, 8696, 7801, 3817, 3239, 2093, 585, 476, 273, 526, 3446, 17585, 335, 601, 30516, 1676, 24263, 3211, 476, 275, 628, 24275, 1863, 563, 8450, 476, 1704, 1655, 2592, 540, 7792, 554, 9994, 8696, 7801, 3211, 9656, 269, 5131, 554, 9994, 8696, 7801, 3817, 585, 4079, 3214, 8788, 568, 19471, 6909, 3211, 3239, 2093, 269, 19343, 1840, 2681, 676, 1297, 1101, 3446, 1863, 7792, 5595, 7857, 7801, 3817, 585, 267, 9058, 554, 9994, 8696, 1840, 2681, 676, 1297, 563, 10403, 7792, 554, 9994, 8696, 2979, 7801, 3817, 269, 4569, 568, 538, 3388, 602, 649, 798, 269, 19343, 2979, 3211, 476, 273, 526, 3446, 3211, 9656, 2979, 3211, 1187, 3211, 476, 272, 560, 3446, 2979, 554, 9994, 8696, 2238, 1101, 3446, 3446, 476, 272, 554, 9994, 8696, 13492, 563, 11900, 25378, 7792, 554, 9994, 8696, 7801, 3211, 9656, 4976, 2592, 269, 26415, 338, 543, 979, 4565, 1231, 267, 26734, 543, 20807, 539, 8075, 9789, 344, 2461, 782, 1851, 938, 4015, 540, 2034, 3446, 554, 9994, 8696, 3211, 269, 5131, 7792, 554, 9994, 8696, 3211, 476, 273, 526, 3446, 554, 9994, 8696, 7792, 28618, 3211, 1863, 554, 9994, 8696, 2681, 676, 2979, 3211, 1863, 7792, 1130, 20634, 781, 1554, 7801, 3817, 9656, 16439, 1297, 476, 272, 476, 736, 454, 268, 8285, 2107, 24842, 2051, 28666, 9664, 454, 268, 28688, 25291, 16974, 9664, 454, 268, 8285, 16974, 9664, 1280, 20661, 454, 268, 8285, 10326, 16974, 8525, 5131, 454, 268, 8285, 623, 1872, 16974, 9664, 454, 268, 8285, 16974, 9664, 16114, 553, 22544, 454, 268, 4168, 8285, 16974, 9664, 21584, 454, 268, 8285, 16974, 9664, 21584, 3883, 454, 268, 8285, 16974, 9664, 13244, 590, 548, 662, 454, 268, 4168, 4132, 27231, 8285, 16974, 9664, 454, 268, 7994, 9877, 1145, 16974, 9664, 454, 268, 4168, 16974, 9664, 1280, 19343, 454, 268, 8285, 10326, 16974, 8525, 595, 2001, 7637, 454, 268, 8285 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1305, 1699, 547, 1985, 267, 543, 2312, 856, 1985, 454, 1038, 1699, 815, 1985, 338, 454, 1038, 1985, 338, 815, 1305, 10797, 825, 1948, 2638, 568, 3398, 1533, 568, 538, 519, 1305, 540, 519, 1699, 2829, 454, 825, 2132, 3799, 17304, 269, 23100, 538, 1699, 2020, 28744, 519, 3593, 3403, 543, 5569, 4086, 1707, 547, 1294, 952, 789, 6474, 454, 2745, 9852, 2255, 263, 8882, 1460, 267, 5569, 1070, 1102, 1460, 2073, 11415, 994, 0, 5814, 5569, 1477, 5228, 10070, 1104, 22388, 5897, 3430, 754, 766, 284, 13449, 9230, 6358, 2891, 11767, 29934, 766, 3758, 2012, 1547, 1547, 1547, 8442, 1070, 262, 337, 20298, 3667, 23952, 815, 20343, 18667, 14052, 2745, 28361, 333, 22923, 32075, 338, 29934, 766, 2433, 22207, 3667, 23952, 10142, 6312, 1181, 284, 9131, 23981, 12887, 653, 335, 12887, 653, 320, 12887, 12711, 320, 12887, 335, 777, 12887, 320, 777, 12887, 11985, 320, 12887, 1952, 11172, 5897, 325, 15968, 284, 24001, 1477, 1721, 533, 538, 4806, 6769, 453, 325, 15968, 314, 335, 24557, 3667, 23952, 29644, 9638, 10142, 325, 15968, 8217, 815, 4908, 269, 12399, 31476, 2745, 28361, 333, 19530, 532, 782, 20083, 4806, 1547, 1547, 1547, 20298, 1721, 1913, 538, 4908, 8217, 6769, 825, 1820, 630, 6919, 267, 9166, 3299, 325, 15968, 314, 6919, 316, 10142, 10946, 318, 4486, 815, 3193, 6600, 15968, 267, 1883, 284, 325, 15968, 10947, 264, 453, 258, 23694, 609, 5207, 6474, 5897, 330, 284, 290, 3300, 6600, 15968, 3418, 14683, 284, 330, 269, 2865, 318, 21720, 263, 274, 10142, 2745, 19629, 333, 19530, 532, 5440, 476, 274, 23694, 5853, 1547, 1547, 1547, 14744, 1721, 1775, 538, 1164, 6769, 13537, 9217, 314, 271, 3910, 9166, 3299, 328, 314, 272, 316, 10142, 2745, 19629, 333, 19530, 532, 9906, 21073, 1547, 1547, 1547, 14744, 16591, 284, 271, 1477, 21112, 284, 271, 1477, 604, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 262, 653, 335, 262, 6769, 13537, 3488, 16032, 16680, 20298, 19197, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 262, 12711, 320, 262, 6769, 13537, 3488, 310, 528, 560, 16680, 20298, 19197, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 3488, 320, 777, 262, 610, 1412, 23981, 262, 8029, 13537, 3488, 19894, 569, 7054, 10585, 20298, 12828, 6769, 22610, 795, 538, 1164, 6769, 453, 14851, 630, 329, 314, 271, 316, 610, 795, 314, 272, 316, 610, 795, 314, 273, 8079, 2525, 3488, 320, 777, 262, 610, 1412, 23981, 262, 610, 1412, 11985, 320, 262, 8029, 4848, 453, 21112, 23785, 272, 1477, 453, 14851, 630, 329, 314, 271, 316, 610, 795, 314, 272, 316, 610, 795, 314, 273, 8079, 2525, 3488, 653, 320, 262, 610, 1412, 335, 777, 262, 610, 1412, 1952, 262, 8029, 4848, 453, 16591, 23785, 272, 1477, 14851, 1434, 285, 21112, 6769, 453, 13537, 3488, 19894, 20298, 28432, 6769, 453, 13537, 3488, 296, 337, 10585, 20298, 5897, 5897, 5897, 24653, 258, 5814, 556, 5897, 258, 332, 2255, 318, 6312, 1181, 284, 516, 26098, 718, 16868, 262, 315, 321, 3890, 315, 321, 3299, 1257, 23952, 10142, 258, 325, 15968, 26514, 815, 585, 1535, 538, 1257, 23952, 29644, 3488, 23981, 12887, 653, 335, 12887, 653, 320, 12887, 12711, 320, 12887, 335, 777, 12887, 320, 777, 12887, 11985, 320, 12887, 1952, 262, 10142, 258, 1721, 2262, 538, 6474, 318, 6312, 1181, 6769, 258, 825, 1293, 815, 4908, 10947, 27182, 267, 271, 3418, 258, 825, 4908, 314, 5320, 316, 815, 1293, 1341, 476, 272, 5897, 24653, 258, 1551, 17342, 15947, 258, 1721, 1775, 538, 2039, 263, 1789, 8029, 258, 453, 1551, 6910, 9272, 6600, 257, 21196, 2715, 328, 266, 272, 348, 2433, 8442, 3418, 28744, 19906, 3418, 258, 30005, 284, 271, 1477, 258, 11274, 550, 284, 271, 1477, 258, 1721, 1775, 538, 2039, 263, 1789, 8029, 453, 0, 12163, 25363, 906, 513, 2203, 2866, 18180, 454, 5228, 840, 30112, 547, 2203, 5542, 3097, 1729, 2203, 6268, 563, 12163, 5814, 15259, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 2593, 2821, 1104, 28758, 9558, 845, 518, 454, 5228, 28189, 4877, 760, 5202, 1104, 26932, 5202, 454, 5228, 28189, 8807, 324, 1155, 26000, 3005, 1104, 8564, 298, 16032, 267, 535, 318, 2958, 1833, 692, 5035, 21290, 303, 760, 5202, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 7531, 825, 1219, 1205, 5334, 5902, 1540, 12774, 4311, 267, 3077, 267, 1449, 15481, 267, 3403, 318, 15953, 2187, 1038, 8173, 1038, 16849, 513, 8675, 5627, 519, 8237, 1540, 1239, 538, 5721, 267, 1449, 454, 1038, 543, 513, 1592, 540, 10230, 543, 28547, 9587, 780, 1038, 14803, 3701, 912, 2018, 3077, 281, 630, 11415, 264, 519, 8200, 4756, 649, 1616, 547, 3589, 519, 642, 331, 879, 525, 454, 2018, 3403, 318, 15953, 630, 11415, 1923, 21795, 6185, 1092, 20988, 264, 2619, 547, 519, 3403, 1239, 540, 21795, 1239, 7406, 454, 2018, 1449, 15481, 630, 15615, 264, 519, 6871, 540, 1449, 1239, 3448, 547, 2866, 1239, 692, 1038, 17776, 912, 2018, 513, 8675, 540, 519, 1106, 3097, 2018, 1239, 18380, 815, 13634, 7386, 1412, 333, 10179, 673, 22674, 8435, 9166, 1003, 22674, 338, 10086, 322, 1538, 5566, 22674, 8435, 9166, 3032, 22674, 338, 267, 22322, 7386, 1412, 311, 17601, 9166, 2473, 17601, 267, 1412, 344, 17601, 9166, 586, 17601, 2676, 7386, 1412, 311, 15305, 9166, 2473, 15305, 267, 1412, 344, 15305, 9166, 586, 15305, 454, 3546, 7684, 454, 1038, 8173, 1038, 17093, 815, 3403, 318, 15953, 454, 1038, 952, 568, 27349, 9272, 318, 15953, 267, 1193, 2187, 2018, 17093, 815, 19073, 18667, 32269, 9272, 318, 15953, 994, 1038, 25948, 318, 18196, 815, 18358, 842, 1626, 3299, 1412, 842, 3953, 3299, 1412, 842, 5038, 3299, 1412, 15615, 1626, 3299, 1412, 15615, 3953, 3299, 1412, 15615, 5038, 23300, 1038, 1875, 5332, 10179, 545, 318, 18196, 815, 18358, 15953, 23300, 1038, 1003, 22674, 338, 815, 1592, 29254, 269, 572, 937, 5091, 18196, 263, 514, 2850, 284, 333, 10179, 545, 318, 18196, 1040, 3712, 8435, 994, 1038, 3032, 22674, 338, 815, 1592, 29254, 269, 572, 937, 5091, 18196, 263, 514, 2850, 284, 12061, 5332, 10179, 545, 318, 18196, 1040, 3712, 8435, 994, 13872, 1038, 17093, 17601, 267, 17093, 15305, 815, 5721, 15305, 5334, 5902, 29254, 267, 1449, 15481, 284, 11687, 15481, 267, 4351, 26077, 284, 271, 994, 1038, 586, 17601, 815, 17093, 17601, 314, 339, 13759, 2639, 1038, 2473, 17601, 815, 17093, 17601, 6155, 1886, 6025, 13759, 267, 7852, 284, 272, 267, 538, 2897, 25716, 994, 1038, 586, 15305, 815, 17093, 15305, 314, 339, 13759, 2639, 1038, 2473, 15305, 815, 17093, 15305, 6155, 1886, 6025, 13759, 267, 7852, 284, 272, 267, 538, 2897, 25716, 994, 1038, 1239, 18380, 815, 13634, 3546, 1412, 333, 10179, 673, 22674, 8435, 9166, 1003, 22674, 338, 10086, 322, 1538, 5566, 22674, 8435, 9166, 3032, 22674, 338, 267, 22322, 3546, 1412, 311, 17601, 9166, 2473, 17601, 267, 1412, 344, 17601, 9166, 586, 17601, 2676, 3546, 1412, 311, 15305, 9166, 2473, 15305, 267, 1412, 344, 15305, 9166, 586, 15305, 454, 2018, 7684, 454, 1038, 2132, 1239, 18380, 7531, 825, 1219, 3514, 31200, 4311, 267, 2203, 267, 840, 15263, 528, 267, 1239, 267, 3077, 2187, 1038, 8173, 1038, 28546, 519, 2203, 563, 1038, 14803, 3701, 912, 2018, 2203, 281, 519, 2203, 547, 581, 19034, 454, 2018, 840, 15263, 528, 281, 513, 18180, 1210, 28189, 3097, 4449, 1363, 28758, 9558, 845, 518, 1362, 454, 2018, 1239, 281, 513, 8675, 5627, 519, 1239, 563, 4449, 476, 713, 568, 791, 548, 5471, 539, 538, 519, 1599, 1412, 1326, 5334, 5902, 1540, 12774, 7055, 1038, 17776, 912, 2018, 519, 19034, 2203, 454, 1038, 8173, 1038, 1239, 9131, 333, 10179, 673, 22674, 8435, 262, 4940, 24525, 6025, 13759, 994, 1038, 18180, 815, 26932, 5202, 8443, 454, 2018, 18011, 11907, 318, 2181, 15263, 528, 3299, 840, 15263, 528, 13211, 2018, 18011, 16347, 3299, 2203, 994, 1038, 476, 7481, 1038, 18180, 32265, 16597, 9131, 311, 17601, 28710, 1239, 9131, 344, 17601, 262, 7481, 1038, 2132, 18180, 7531, 825, 1219, 1449, 6958, 26860, 31200, 4311, 267, 19034, 31200, 267, 1239, 267, 11973, 2187, 1038, 8173, 1038, 4530, 519, 19034, 2203, 454, 1038, 8173, 1038, 586, 28177, 338, 815, 19034, 31200, 4877, 9438, 16597, 9131, 311, 15305, 262, 7481, 1038, 6060, 815, 11973, 12169, 28177, 338, 267, 1239, 9131, 344, 15305, 262, 7481, 1038, 2132, 6060, 7531, 825, 1219, 2196, 318, 23024, 2939, 4311, 267, 1239, 267, 3631, 267, 840, 15263, 528, 267, 11973, 267, 3077, 2187, 1038, 5727, 14725, 606, 4603, 547, 859, 520, 10663, 1114, 3631, 6111, 12163, 1038, 8464, 815, 31460, 1038, 585, 2012, 267, 2203, 538, 3631, 29096, 10031, 2018, 19034, 31200, 815, 1582, 32265, 31200, 263, 16347, 267, 840, 15263, 528, 267, 1239, 267, 3077, 994, 2018, 6060, 815, 1582, 6745, 652, 6958, 26860, 31200, 6600, 26860, 31200, 267, 1239, 267, 11973, 994, 2018, 8464, 314, 4067, 316, 815, 6060, 454, 1038, 2132, 8464, 7531, 825, 1219, 3444, 26371, 9179, 4311, 2187, 1038, 5727, 8110, 845, 3444, 15418, 585, 1018, 286, 12163, 1038, 1780, 7531, 825, 1219, 4688, 318, 2908, 6958, 324, 1155, 4311, 267, 17093, 267, 1163, 5332, 3518, 2187, 1038, 952, 711, 15259, 29624, 20216, 1235, 912, 2018, 2619, 815, 535, 257, 10623, 2137, 270, 346, 10339, 5332, 3518, 348, 4840, 2018, 15259, 6230, 8898, 15077, 9638, 987, 994, 1038, 17093, 30419, 32269, 6600, 257, 346, 12949, 348, 270, 23024, 2939, 346, 10339, 5332, 3518, 20731, 11907, 27406, 257, 9239, 825, 1219, 5352, 318, 23024, 2939, 23631, 1636, 4311, 2187, 1038, 1780, 7531, 825, 1219, 2824, 6958, 324, 2137, 4311, 267, 2473, 267, 586, 267, 9587, 2187, 1038, 2203, 815, 8564, 298, 16032, 263, 16557, 6958, 15635, 284, 325, 318, 2958, 1833, 267, 737, 8782, 718, 5073, 1038, 2203, 32265, 11583, 267, 586, 994, 1038, 12301, 269, 8663, 8443, 3712, 8435, 11468, 268, 272, 6012, 328, 316, 585, 1775, 538, 2039, 12759, 263, 16347, 4732, 13990, 318, 4297, 3910, 2203, 4732, 13990, 318, 994, 1038, 689, 28894, 629, 1104, 678, 322, 13640, 4461, 454, 1038, 678, 322, 13640, 4461, 9131, 29664, 8807, 12127, 1125, 11172, 815, 476, 1015, 267, 476, 1015, 454, 1038, 12301, 11859, 16932, 3488, 8722, 2137, 5073, 1038, 12301, 269, 29786, 3488, 30360, 5073, 1038, 12301, 26644, 3488, 8722, 1155, 2956, 6060, 5073, 1038, 12301, 20481, 10797, 19638, 692, 7531, 672, 0, 5814, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 2979, 1477, 5228, 2979, 1104, 21762, 5897, 332, 990, 625, 32470, 815, 19073, 18667, 32269, 3488, 332, 990, 625, 27406, 20298, 332, 990, 625, 32470, 9131, 20204, 11172, 815, 9413, 32470, 26644, 269, 1598, 269, 2169, 847, 3488, 7268, 7268, 323, 315, 323, 315, 323, 315, 323, 315, 4297, 3299, 10339, 663, 815, 8771, 3418, 332, 990, 625, 32470, 9131, 20204, 11172, 815, 9413, 32470, 26644, 269, 1598, 269, 2169, 847, 3488, 7268, 323, 315, 323, 315, 323, 315, 323, 264, 3299, 10339, 663, 815, 8771, 3418, 332, 990, 625, 32470, 9131, 27583, 11172, 815, 9413, 32470, 26644, 269, 1598, 18622, 2897, 3488, 7268, 7268, 323, 315, 323, 315, 323, 315, 323, 315, 4297, 3299, 5257, 3418, 332, 990, 625, 32470, 9131, 27583, 11172, 815, 9413, 32470, 9131, 27583, 262, 4940, 1952, 569, 10857, 10033, 1535, 281, 343, 14714, 8692, 3890, 3418, 332, 990, 625, 32470, 9131, 2102, 637, 11172, 815, 9413, 32470, 269, 2102, 637, 269, 1598, 21858, 3488, 347, 262, 10142, 332, 990, 625, 32470, 30419, 32269, 3488, 719, 27406, 262, 10142, 332, 990, 625, 5976, 2102, 637, 815, 9413, 32470, 6983, 4878, 31476, 1721, 4994, 267, 992, 538, 9413, 5976, 2102, 637, 269, 3438, 4900, 28399, 825, 585, 9135, 538, 4737, 9131, 2102, 637, 11172, 6769, 1038, 9413, 5976, 2102, 637, 269, 520, 27709, 267, 2102, 516, 316, 815, 476, 272, 1477, 332, 990, 625, 5976, 2102, 637, 815, 9413, 5976, 2102, 637, 8807, 650, 3534, 263, 271, 10142, 258, 3725, 764, 558, 2658, 3590, 5897, 12528, 6358, 815, 1496, 1477, 2018, 27835, 27583, 9166, 262, 17954, 752, 9724, 11833, 267, 634, 3299, 1412, 7992, 9166, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262, 307, 1195, 9452, 3299, 1412, 7992, 9166, 274, 269, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262, 297, 3861, 10202, 3299, 1412, 7992, 9166, 273, 9574, 1477, 2018, 27835, 27583, 9166, 257, 303, 592, 335, 11470, 2580, 1412, 7992, 9166, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 519, 654, 5417, 523, 7256, 563, 272, 264, 20636, 2165, 585, 519, 851, 540, 519, 6070, 23047, 1127, 538, 4395, 540, 519, 2377, 1678, 539, 2127, 563, 763, 23864, 1166, 1846, 13883, 693, 513, 1164, 1377, 798, 711, 1106, 513, 6024, 1055, 6879, 648, 3046, 3544, 519, 5032, 267, 855, 616, 9674, 538, 12150, 13063, 267, 1063, 799, 519, 1216, 689, 519, 2244, 1790, 686, 1564, 19707, 922, 1259, 547, 519, 17909, 998, 13719, 538, 7410, 610, 998, 6825, 23864, 9055, 269, 634, 23864, 1166, 1846, 3544, 519, 2244, 1790, 686, 1564, 616, 3622, 2182, 22501, 23864, 1166, 1846, 269, 2311, 4025, 267, 519, 5207, 14084, 2694, 949, 581, 13883, 693, 513, 1377, 799, 14687, 5176, 547, 631, 269, 670, 269, 570, 1421, 865, 602, 3921, 27274, 789, 616, 1152, 4988, 609, 1216, 513, 2110, 942, 282, 693, 9456, 2842, 543, 693, 683, 777, 20352, 789, 949, 581, 3819, 1282, 835, 20352, 21226, 1974, 610, 811, 269, 2201, 971, 23864, 1166, 1846, 616, 1336, 519, 4102, 1332, 2195, 540, 6428, 545, 1941, 807, 10786, 25445, 630, 291, 4314, 281, 737, 767, 2401, 1070, 799, 568, 513, 30362, 5993, 543, 568, 2111, 547, 5706, 513, 7928, 24492, 532, 540, 6070, 1216, 269, 634, 9424, 543, 519, 20825, 540, 6428, 545, 1941, 807, 1689, 1454, 689, 835, 1747, 547, 1776, 543, 689, 1032, 547, 1032, 267, 855, 1256, 519, 12136, 540, 10053, 1332, 2195, 540, 713, 2030, 1282, 1896, 8011, 532, 1296, 1281, 711, 4125, 9645, 19260, 540, 519, 1377, 540, 519, 23864, 1858, 6862, 540, 519, 5888, 540, 922, 3037, 563, 4002, 519, 682, 324, 20933, 540, 519, 23864, 5070, 267, 6849, 519, 2244, 3064, 601, 267, 835, 786, 1419, 1265, 930, 5386, 3766, 11712, 1570, 538, 519, 2627, 267, 543, 621, 568, 972, 602, 519, 2208, 540, 6428, 545, 1941, 807, 568, 7363, 1034, 10053, 543, 1034, 3586, 269, 634, 5920, 693, 713, 1747, 540, 519, 5386, 267, 2571, 267, 1216, 325, 2683, 1570, 630, 16435, 1731, 264, 543, 513, 10664, 540, 6428, 545, 1941, 807, 666, 581, 607, 8282, 547, 519, 1482, 2014, 281, 519, 12062, 532, 1198, 540, 519, 23864, 6366, 269, 1717, 267, 971, 2175, 1152, 7173, 841, 538, 1507, 2127, 543, 949, 2291, 538, 1279, 5712, 1510, 4758, 4473, 547, 6024, 7263, 1431, 540, 1022, 2956, 269, 8307, 538, 513, 1906, 2199, 885, 267, 585, 3236, 538, 1978, 536, 904, 610, 693, 4025, 609, 2027, 3289, 5766, 1429, 545, 2175, 267, 971, 607, 593, 519, 521, 317, 1926, 2427, 540, 681, 21417, 332, 21417, 2481, 267, 8628, 267, 20406, 2810, 7263, 1431, 540, 1793, 1731, 630, 338, 2830, 264, 949, 581, 4646, 269, 634, 2627, 540, 519, 3152, 851, 540, 519, 23864, 1166, 1846, 568, 21237, 6534, 547, 1699, 268, 543, 5951, 268, 13905, 540, 971, 513, 3196, 602, 519, 5386, 3766, 11712, 607, 1134, 607, 519, 22501, 2326, 949, 581, 14324, 909, 543, 5645, 2476, 610, 581, 2699, 788, 657, 1243, 563, 10214, 3543, 725, 540, 6428, 545, 1941, 807, 1152, 2709, 513, 13927, 1076, 4027, 1996, 713, 1184, 543, 949, 538, 930, 2665, 267, 607, 513, 1267, 540, 519, 5250, 540, 1196, 323, 625, 1472, 519, 2582, 2371, 267, 2014, 519, 2627, 540, 519, 23864, 6366, 547, 581, 2144, 10757, 563, 1103, 1978, 2665, 519, 1483, 6070, 22153, 2371, 267, 538, 519, 1101, 1747, 717, 22318, 807, 2261, 527, 9874, 630, 303, 25458, 514, 749, 807, 2261, 527, 9874, 269, 20636, 281, 3045, 601, 6371, 264, 949, 10393, 1118, 741, 5920, 593, 519, 5207, 14084, 2694, 540, 519, 23864, 6366, 3544, 519, 2244, 3064, 601, 269, 901, 4523, 2864, 25864, 543, 4667, 547, 2154, 513, 4999, 540, 7957, 24461, 2188, 563, 763, 1570, 16487, 676, 519, 1216, 666, 3362, 581, 20024, 538, 519, 717, 22318, 807, 10664, 267, 1141, 621, 568, 1352, 2741, 1229, 1996, 6329, 543, 14768, 269, 901, 568, 1946, 519, 11776, 540, 717, 22318, 807, 3322, 602, 519, 2627, 540, 513, 530, 278, 5417, 523, 267, 554, 2416, 1729, 540, 513, 2864, 19335, 1377, 5956, 547, 1689, 269, 2311, 1101, 267, 519, 1570, 568, 19017, 538, 519, 23661, 8913, 30835, 540, 717, 22318, 807, 267, 799, 6385, 3262, 676, 1797, 540, 3875, 1055, 6879, 334, 1824, 267, 543, 1507, 1208, 332, 4169, 616, 4646, 799, 593, 2272, 540, 519, 7263, 1431, 4473, 1657, 519, 2627, 540, 519, 23864, 6366, 563, 1103, 519, 9018, 851, 540, 519, 1007, 11526, 22153, 267, 1141, 1282, 5951, 9146, 513, 18254, 267, 9247, 540, 5070, 267, 3217, 1747, 267, 519, 1208, 332, 4169, 616, 14733, 543, 6385, 4473, 676, 1896, 1232, 22015, 637, 1657, 519, 23864, 6366, 269, 4329, 24654, 519, 1208, 332, 4169, 616, 811, 6366, 267, 543, 519, 1570, 20024, 568, 21246, 958, 521, 2830, 610, 5386, 3766, 11712, 5070, 269, 1635, 543, 676, 519, 1208, 332, 4169, 1332, 278, 1927, 267, 543, 538, 519, 1576, 540, 513, 1906, 1296, 513, 23864, 6366, 949, 3976, 581, 9927, 883, 513, 10053, 717, 22318, 807, 803, 20760, 563, 8245, 6714, 3585, 609, 519, 5137, 540, 519, 1007, 22153, 267, 519, 4262, 862, 1878, 547, 2144, 1712, 922, 9018, 2694, 267, 543, 538, 519, 1576, 540, 942, 513, 3982, 569, 6825, 29384, 568, 4646, 6849, 519, 23864, 6366, 269, 769, 519, 3312, 2244, 3064, 601, 267, 1141, 519, 12062, 532, 1198, 4679, 267, 606, 3606, 7274, 540, 1793, 1731, 568, 20024, 267, 543, 519, 6428, 545, 1941, 807, 10786, 25445, 543, 2663, 593, 519, 717, 22318, 807, 2261, 527, 9874, 3262, 538, 519, 4287, 540, 519, 2025, 2062, 1633, 269, 26431, 607, 519, 7263, 1431, 2014, 519, 1377, 547, 4473, 519, 1297, 540, 23864, 1016, 11302, 687, 11081, 3507, 2406, 267, 543, 2523, 519, 5207, 14084, 2694, 949, 538, 519, 4832, 4005, 581, 3819, 585, 1279, 5712, 563, 763, 1657, 4330, 1184, 5170, 998, 7263, 1431, 543, 1377, 1782, 540, 519, 2627, 267, 538, 971, 513, 6073, 267, 2705, 267, 602, 519, 9018, 2694, 2611, 519, 5207, 267, 519, 1377, 13302, 538, 519, 4287, 540, 519, 2244, 3064, 601, 267, 1141, 519, 18254, 540, 521, 2830, 3587, 811, 543, 811, 7986, 269, 634, 18254, 1152, 3217, 1747, 1282, 2462, 1164, 31662, 267, 799, 7363, 2408, 538, 4276, 609, 7088, 344, 4365, 269, 3245, 519, 530, 5417, 523, 267, 9424, 540, 5070, 616, 627, 597, 1194, 909, 267, 519, 3152, 851, 540, 799, 568, 20024, 538, 519, 9018, 1858, 267, 519, 11098, 540, 519, 5070, 2000, 16558, 13302, 538, 519, 4287, 540, 519, 2244, 3064, 601, 269, 634, 5386, 6588, 1441, 10036, 5674, 11159, 630, 291, 4314, 281, 737, 331, 19508, 326, 1070, 799, 568, 3812, 676, 4511, 523, 8412, 267, 538, 1880, 18024, 540, 1793, 1731, 630, 338, 2830, 264, 568, 538, 519, 9018, 1858, 1152, 1336, 538, 519, 1106, 540, 7522, 13164, 267, 519, 11098, 540, 519, 6106, 2810, 538, 27808, 4287, 267, 543, 519, 10036, 5674, 11159, 568, 3592, 24267, 538, 519, 1970, 268, 2391, 2694, 267, 1152, 6404, 609, 513, 1906, 6094, 5070, 2000, 16558, 538, 519, 3105, 2244, 3064, 601, 563, 11073, 2515, 519, 1007, 278, 454, 332, 6702, 513, 1007, 278, 9381, 9043, 609, 513, 811, 610, 454, 1652, 14733, 2244, 3064, 601, 568, 19038, 547, 581, 4646, 267, 543, 593, 519, 23864, 6366, 1055, 713, 2244, 3064, 601, 7399, 949, 8451, 585, 519, 5137, 540, 513, 1007, 22153, 269, 6884, 267, 1256, 1354, 519, 5250, 540, 835, 1858, 814, 1044, 12913, 267, 835, 610, 811, 1007, 23047, 1127, 616, 2919, 3544, 519, 1101, 1858, 269, 634, 1367, 834, 529, 956, 257, 666, 581, 14360, 585, 513, 1279, 942, 538, 519, 2627, 9043, 543, 538, 519, 3892, 540, 519, 5070, 2000, 16558, 543, 519, 10036, 5674, 21439, 269, 769, 930, 2665, 519, 11761, 568, 865, 3532, 602, 513, 1007, 22153, 1858, 786, 581, 21933, 3438, 730, 267, 11207, 610, 14356, 267, 1256, 1354, 922, 5250, 814, 2097, 547, 606, 1439, 563, 15152, 519, 4540, 23864, 2175, 519, 5250, 540, 513, 6070, 22153, 786, 581, 3592, 12913, 693, 519, 942, 950, 519, 9018, 2694, 723, 6603, 513, 1377, 540, 827, 476, 273, 544, 1657, 667, 12991, 12991, 269, 610, 513, 2370, 811, 982, 561, 544, 1657, 519, 3312, 530, 5417, 523, 269, 769, 519, 3105, 2244, 3064, 601, 267, 799, 585, 513, 1279, 942, 25601, 513, 32761, 344, 1915, 267, 519, 1377, 568, 1419, 966, 28462, 1765, 260, 678, 333, 2539, 982, 538, 519, 9018, 2694, 543, 14380, 538, 519, 4287, 2509, 519, 2062, 1633, 267, 1141, 519, 2025, 11761, 29384, 666, 581, 12873, 811, 610, 1447, 14733, 563, 20197, 16057, 2208, 540, 22153, 267, 799, 949, 1491, 454, 288, 4797, 11159, 566, 786, 1287, 1491, 1747, 693, 513, 1970, 2557, 267, 1317, 519, 1858, 538, 2243, 568, 1152, 24760, 513, 1906, 2053, 513, 1032, 269, 634, 3017, 540, 1377, 1063, 519, 1164, 268, 2391, 9018, 2694, 543, 519, 1970, 268, 2391, 6418, 2694, 568, 9243, 1242, 547, 930, 4110, 267, 855, 568, 711, 4625, 2944, 2476, 609, 267, 543, 538, 519, 556, 13094, 6070, 23047, 1127, 267, 799, 723, 14356, 1044, 4646, 538, 519, 6073, 4330, 1657, 267, 835, 786, 18867, 1869, 581, 2111, 547, 1265, 1896, 9343, 540, 1164, 267, 22501, 267, 14404, 1881, 2694, 609, 954, 329, 8809, 267, 811, 10036, 5674, 1970, 268, 2391, 2694, 563, 7437, 16057, 2208, 593, 513, 23864, 6366, 513, 6070, 22153, 814, 3976, 1044, 630, 11526, 799, 267, 711, 1152, 607, 2484, 607, 519, 1377, 568, 7255, 267, 855, 849, 609, 2543, 547, 519, 3037, 2175, 15320, 7494, 689, 519, 3312, 23864, 6366, 269, 901, 2067, 5250, 540, 2244, 814, 1044, 4767, 693, 930, 4025, 538, 519, 654, 5417, 523, 7256, 2059, 519, 5032, 540, 27623, 808, 583, 1633, 269, 634, 3803, 1267, 568, 513, 6070, 22153, 540, 519, 1482, 2460, 543, 540, 18374, 519, 1482, 1377, 607, 538, 519, 9018, 2694, 540, 519, 2025, 23047, 1127, 269, 9182, 267, 519, 2990, 540, 519, 8545, 689, 513, 1377, 1448, 540, 2070, 991, 711, 581, 8329, 547, 2244, 268, 340, 680, 3424, 563, 20197, 267, 519, 2067, 5250, 540, 2244, 814, 1044, 454, 516, 17474, 269, 634, 1505, 23295, 4294, 568, 513, 1062, 540, 6252, 546, 9662, 540, 513, 3178, 540, 827, 476, 1428, 1765, 1789, 4699, 538, 519, 23864, 6366, 610, 538, 513, 1007, 2389, 11526, 6070, 22153, 803, 20760, 269, 1306, 513, 4341, 519, 546, 9662, 630, 291, 4314, 281, 1989, 21417, 321, 2401, 264, 616, 5116, 693, 513, 1318, 5086, 547, 519, 5032, 609, 17752, 547, 519, 2244, 3064, 601, 269, 634, 1292, 3483, 540, 519, 546, 9662, 568, 547, 3895, 519, 12775, 540, 519, 26869, 267, 7551, 2417, 532, 519, 7399, 540, 2208, 585, 519, 6070, 22153, 2371, 269, 5015, 267, 519, 5250, 540, 6806, 267, 32761, 344, 9475, 543, 12150, 23864, 524, 872, 802, 630, 291, 4314, 281, 3138, 518, 264, 568, 7551, 14284, 269, 769, 519, 546, 9662, 267, 799, 616, 530, 23926, 21246, 958, 689, 519, 2244, 3064, 601, 267, 5386, 3766, 11712, 1570, 568, 6385, 20024, 282, 713, 1570, 568, 19952, 25653, 909, 543, 533, 6150, 593, 519, 954, 329, 8809, 4610, 269, 769, 1931, 547, 5000, 513, 4098, 2244, 5250, 593, 1164, 23864, 1166, 1846, 789, 723, 1044, 12630, 6707, 609, 717, 22318, 807, 2261, 527, 9874, 563, 306, 539, 2939, 566, 30520, 267, 14356, 6806, 267, 799, 616, 9112, 538, 519, 23864, 1166, 1846, 689, 9343, 540, 25985, 543, 3673, 1149, 267, 616, 1031, 609, 6574, 7443, 693, 4025, 1141, 593, 2272, 540, 2027, 3289, 5766, 1429, 545, 2175, 9645, 7727, 540, 5386, 6588, 1441, 1570, 616, 20024, 267, 855, 1141, 621, 568, 2352, 585, 513, 10053, 267, 7863, 6070, 22153, 10664, 593, 2272, 540, 519, 1970, 1377, 547, 10286, 9087, 1054, 1245, 267, 585, 3236, 593, 519, 5045, 2427, 540, 519, 681, 21417, 332, 21417, 2481, 563, 1103, 519, 7961, 25958, 2694, 540, 519, 2462, 6070, 22153, 2127, 267, 693, 11023, 636, 267, 25906, 324, 267, 11831, 636, 543, 570, 21417, 837, 267, 519, 2627, 568, 811, 5347, 982, 538, 519, 9018, 2694, 267, 543, 519, 3037, 5161, 30109, 540, 513, 24267, 3170, 267, 10036, 5674, 11159, 267, 799, 568, 4646, 896, 824, 2175, 982, 1346, 4540, 538, 519, 9018, 23047, 1127, 267, 713, 10036, 5674, 11159, 1373, 547, 513, 1390, 6708, 20024, 538, 556, 539, 10664, 630, 4942, 4048, 2466, 525, 32761, 1916, 763, 1377, 2175, 5018, 1657, 3277, 547, 519, 6070, 23047, 1127, 799, 723, 711, 267, 610, 723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 279, 1040, 1684, 607, 594, 4312, 7152, 538, 513, 1040, 1411, 1058, 2097, 909, 609, 476, 278, 6924, 271, 5195, 269, 630, 23114, 6376, 281, 594, 6415, 711, 1360, 5432, 609, 519, 11585, 540, 519, 2136, 2276, 267, 855, 713, 1267, 5654, 607, 952, 519, 5721, 1990, 580, 345, 698, 3022, 998, 782, 2829, 593, 621, 781, 1259, 689, 6728, 547, 6728, 2020, 294, 22901, 902, 692, 292, 289, 692, 274, 269, 20323, 17397, 676, 8065, 1695, 454, 288, 1164, 3432, 18213, 1449, 5721, 4429, 15916, 10484, 1877, 594, 993, 1586, 269, 594, 4312, 2219, 827, 519, 1599, 2016, 538, 707, 1966, 269, 901, 3830, 28994, 1405, 581, 1318, 780, 2026, 594, 4312, 1767, 538, 1250, 3105, 2022, 267, 713, 1360, 1164, 3432, 5721, 12599, 476, 278, 6924, 271, 5195, 538, 476, 279, 3108, 269, 2334, 1797, 621, 814, 606, 3328, 3432, 540, 476, 31634, 5195, 829, 5662, 780, 1103, 519, 2011, 519, 3432, 540, 3280, 568, 476, 278, 3393, 5195, 829, 5662, 269, 1924, 713, 5721, 12599, 5488, 982, 3280, 269, 9214, 323, 1043, 2439, 2690, 1383, 281, 1403, 713, 5721, 12599, 476, 1015, 3108, 267, 1287, 519, 3328, 3432, 568, 5176, 7466, 607, 1164, 607, 519, 3432, 540, 3280, 780, 3383, 267, 5225, 267, 2638, 519, 1257, 540, 707, 1966, 269, 1703, 1590, 581, 513, 630, 2381, 528, 264, 12161, 780, 294, 22901, 902, 692, 292, 289, 692, 275, 269, 20323, 17397, 676, 1274, 18485, 454, 15916, 10484, 1877, 594, 993, 1586, 269, 594, 4312, 2219, 827, 519, 1599, 2016, 538, 707, 1966, 269, 901, 3830, 28994, 1405, 581, 1318, 780, 2026, 594, 4312, 1767, 538, 1250, 3105, 2022, 267, 713, 1360, 1164, 3432, 5721, 12599, 476, 278, 6924, 271, 5195, 538, 476, 279, 3108, 269, 2334, 1797, 621, 814, 606, 3328, 3432, 540, 476, 31634, 5195, 829, 5662, 780, 1103, 519, 2011, 519, 3432, 540, 3280, 568, 476, 278, 3393, 5195, 829, 5662, 269, 1924, 713, 5721, 12599, 5488, 982, 3280, 269, 9214, 323, 1043, 2439, 2690, 1383, 281, 1403, 713, 5721, 12599, 476, 1015, 3108, 267, 1287, 519, 3328, 3432, 568, 5176, 7466, 607, 1164, 607, 519, 3432, 540, 3280, 780, 3383, 267, 5225, 267, 2638, 519, 1257, 540, 707, 1966, 269, 1703, 1590, 581, 513, 630, 2381, 528, 264, 12161, 780, 294, 22901, 902, 692, 292, 289, 454, 2467, 4440, 568, 1100, 12161, 267, 1175, 602, 945, 1197, 5206, 519, 2243, 4769, 1405, 1416, 827, 519, 2168, 2470, 540, 519, 3845, 1599, 780, 5937, 534, 692, 276, 269, 12361, 2659, 9406, 713, 568, 606, 5470, 269, 898, 1058, 581, 513, 2942, 692, 288, 1164, 3432, 18213, 1449, 5721, 12599, 689, 12052, 6728, 547, 24282, 6728, 538, 4010, 476, 279, 3108, 269, 634, 3845, 14612, 538, 5195, 689, 12052, 267, 693, 1022, 2016, 942, 538, 3108, 568, 2016, 676, 519, 1739, 1599, 912, 338, 6025, 6661, 910, 476, 277, 339, 317, 274, 266, 7761, 339, 317, 273, 780, 1692, 1082, 5195, 814, 519, 5721, 14612, 538, 476, 273, 5662, 883, 519, 7552, 2496, 1432, 568, 519, 3845, 538, 5195, 689, 12052, 6728, 547, 24282, 13749, 2496, 277, 269, 20323, 17397, 676, 8065, 1695, 318, 1794, 454, 288, 1164, 3432, 18213, 1449, 5721, 12599, 689, 12052, 6728, 547, 24282, 6728, 538, 4010, 476, 279, 3108, 269, 634, 3845, 14612, 538, 5195, 689, 12052, 267, 693, 1022, 2016, 942, 538, 3108, 568, 2016, 676, 519, 1739, 1599, 912, 338, 6025, 6661, 910, 476, 277, 339, 317, 274, 266, 7761, 339, 317, 273, 563, 1692, 1082, 5195, 814, 519, 5721, 14612, 538, 476, 273, 5662, 883, 519, 7552, 888, 1432, 568, 519, 3845, 538, 5195, 689, 12052, 6728, 547, 24282, 13749, 888, 15916, 10484, 11357, 538, 519, 942, 512, 815, 476, 273, 883, 707, 3830, 543, 596, 3513, 1205, 912, 338, 263, 273, 6661, 268, 277, 16732, 273, 8203, 274, 266, 7761, 16732, 273, 8203, 273, 815, 476, 13301, 5195, 692, 763, 2347, 3460, 3217, 476, 279, 554, 269, 1924, 11690, 538, 512, 815, 476, 279, 883, 707, 3830, 547, 1205, 519, 3845, 912, 338, 263, 279, 264, 815, 910, 277, 16732, 279, 317, 274, 11924, 7761, 263, 279, 8203, 273, 815, 476, 14631, 277, 5195, 692, 3528, 519, 1259, 281, 901, 1966, 3884, 1405, 1454, 1732, 982, 519, 1101, 4528, 1317, 952, 519, 5721, 12599, 476, 1428, 3108, 267, 621, 814, 24964, 513, 3845, 540, 910, 28147, 271, 5195, 269, 2334, 1797, 621, 781, 2469, 18807, 609, 513, 3328, 3432, 540, 476, 17734, 5195, 1315, 5662, 16317, 294, 22901, 902, 692, 292, 289, 0, 1012, 6034, 19577, 338, 692, 763, 1739, 568, 519, 1592, 540, 2042, 585, 3848, 476, 275, 540, 519, 3883, 540, 19577, 630, 2457, 476, 1911, 1040, 1703, 568, 513, 8468, 1930, 693, 519, 1439, 267, 865, 596, 666, 2307, 2055, 269, 898, 568, 513, 1390, 1259, 547, 2170, 609, 519, 14357, 543, 609, 824, 1053, 538, 707, 1362, 267, 1058, 596, 991, 930, 6351, 609, 1022, 2243, 269, 7490, 267, 798, 711, 2022, 3435, 780, 8196, 519, 1505, 540, 1463, 6169, 547, 6961, 519, 1739, 6898, 780, 272, 269, 1403, 3230, 343, 2330, 568, 606, 1256, 8870, 267, 1287, 3230, 343, 317, 273, 2330, 568, 1256, 563, 273, 269, 1403, 3230, 343, 2330, 568, 606, 9642, 8870, 267, 1287, 3230, 343, 317, 274, 2330, 568, 9642, 563, 274, 269, 1403, 3230, 320, 2330, 568, 606, 9642, 8870, 267, 1287, 3230, 320, 317, 273, 1341, 476, 274, 320, 1341, 276, 2330, 568, 9642, 563, 275, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 343, 2330, 543, 3230, 344, 2330, 616, 9642, 267, 1287, 3230, 15383, 2330, 568, 9642, 563, 276, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 343, 2330, 568, 1256, 267, 1287, 3230, 15383, 2330, 568, 1256, 563, 277, 269, 14597, 3230, 320, 267, 536, 267, 524, 267, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 543, 3230, 320, 1422, 3200, 524, 2330, 1287, 3230, 320, 1422, 3200, 630, 321, 25239, 14638, 563, 278, 269, 14597, 3230, 320, 267, 536, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 1287, 3230, 320, 317, 273, 1422, 3200, 536, 317, 273, 2330, 563, 279, 269, 14597, 3230, 320, 2330, 568, 606, 8870, 269, 1403, 3230, 276, 1422, 3200, 476, 273, 320, 18079, 1287, 3230, 276, 1422, 3200, 513, 2330, 563, 280, 269, 14597, 3230, 320, 2330, 568, 606, 8870, 269, 1403, 3230, 278, 1422, 3200, 476, 275, 320, 18079, 1287, 3230, 278, 1422, 3200, 513, 2330, 563, 1015, 269, 14597, 3230, 320, 2330, 543, 3230, 321, 2330, 616, 9981, 269, 1403, 3230, 320, 1422, 3200, 536, 18079, 1287, 3230, 320, 1422, 3200, 630, 274, 321, 317, 274, 1532, 317, 273, 266, 276, 321, 14638, 563, 1556, 269, 14597, 3230, 320, 267, 536, 267, 524, 267, 546, 267, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 543, 3230, 322, 1422, 3200, 546, 18079, 1287, 3230, 659, 1422, 3200, 536, 323, 2330, 563, 1321, 269, 1403, 3230, 343, 1422, 514, 1422, 13992, 23334, 6525, 543, 3230, 271, 2999, 1535, 2999, 476, 275, 18079, 1287, 6695, 339, 2765, 346, 275, 2410, 343, 263, 275, 14870, 14587, 1422, 28254, 476, 272, 2330, 563, 1724, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 23334, 6525, 269, 1403, 3230, 343, 317, 273, 1341, 476, 276, 344, 815, 586, 317, 273, 1341, 476, 276, 343, 18079, 1287, 3230, 343, 284, 344, 2330, 610, 3230, 343, 20742, 815, 476, 276, 2330, 563, 1691, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 276, 333, 317, 273, 1341, 476, 274, 333, 1341, 476, 278, 2330, 568, 9642, 269, 630, 2521, 2665, 8094, 1428, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 333, 317, 273, 1341, 476, 274, 333, 1341, 476, 275, 2330, 568, 1256, 269, 630, 2521, 2665, 8094, 1626, 269, 1403, 1079, 9981, 723, 519, 1482, 26027, 267, 1287, 741, 2040, 568, 1256, 269, 630, 2521, 2665, 8094, 1704, 269, 1403, 1079, 9981, 723, 6587, 26027, 267, 1287, 741, 1587, 568, 1256, 563, 1240, 269, 14597, 3230, 343, 2330, 543, 3230, 344, 2330, 616, 2318, 1483, 2338, 269, 1403, 3230, 343, 2999, 586, 18079, 1287, 3230, 343, 317, 273, 2999, 586, 317, 273, 2330, 563, 866, 269, 14597, 3230, 320, 267, 536, 2330, 543, 3230, 322, 2330, 616, 9981, 267, 1403, 3230, 320, 317, 273, 1422, 3200, 536, 2330, 543, 3230, 321, 317, 274, 1422, 3200, 524, 18079, 1287, 3230, 320, 317, 277, 1422, 3200, 524, 2330, 563, 736, 269, 1403, 3230, 320, 2330, 568, 606, 8870, 543, 3230, 320, 317, 273, 1422, 3200, 513, 18079, 1287, 3230, 320, 1422, 514, 1422, 346, 910, 272, 267, 271, 267, 272, 1422, 6525, 563, 2641, 269, 1403, 3230, 335, 2330, 568, 6305, 543, 3230, 330, 2330, 568, 606, 8870, 585, 799, 3230, 271, 2999, 737, 2999, 533, 18079, 1287, 3230, 335, 2330, 17337, 6695, 16535, 558, 22669, 2410, 330, 6525, 563, 2420, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 267, 1287, 3230, 333, 317, 273, 815, 476, 273, 1422, 16535, 558, 23533, 2410, 273, 348, 1341, 1422, 16535, 558, 23533, 2410, 272, 6525, 269, 630, 2791, 949, 991, 513, 5094, 2013, 585, 3230, 333, 284, 272, 2330, 8094, 2537, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 267, 1287, 6695, 16535, 558, 346, 273, 333, 2410, 333, 6525, 568, 1256, 563, 2190, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 543, 3230, 333, 1422, 28254, 476, 273, 18079, 1287, 519, 2338, 3230, 333, 256, 266, 273, 267, 562, 256, 266, 274, 267, 562, 256, 266, 275, 267, 562, 256, 266, 276, 267, 1422, 25854, 322, 267, 562, 256, 266, 333, 2330, 616, 782, 12432, 269, 630, 13295, 267, 585, 1022, 3230, 333, 315, 28254, 476, 273, 18079, 835, 666, 1265, 3230, 333, 2330, 15654, 12432, 2338, 269, 901, 1797, 972, 616, 11737, 337, 3320, 2434, 564, 968, 326, 2355, 892, 1063, 6305, 2338, 8094, 1839, 269, 1403, 3230, 320, 267, 536, 267, 524, 267, 1422, 514, 1422, 13992, 346, 301, 6525, 543, 3230, 322, 1422, 19008, 536, 1422, 19008, 513, 18079, 1287, 6695, 16535, 558, 21151, 2410, 321, 348, 1422, 16535, 558, 15830, 2410, 322, 348, 815, 1422, 16535, 558, 21151, 2410, 321, 2275, 348, 1422, 16535, 558, 21151, 1532, 25239, 2410, 322, 6525, 563, 2918, 269, 5272, 9642, 8870, 568, 513, 3017, 540, 1079, 10945, 269, 630, 7078, 3230, 278, 815, 476, 275, 317, 273, 268, 274, 317, 273, 18079, 3092, 8094, 2767, 269, 14597, 3230, 320, 267, 536, 1422, 514, 1422, 13992, 346, 301, 6525, 269, 1403, 6695, 326, 7251, 5416, 14720, 264, 285, 272, 18079, 1287, 3230, 321, 1422, 3200, 513, 2330, 610, 3230, 321, 2330, 568, 711, 6305, 563, 2764, 269, 1403, 3230, 320, 267, 536, 267, 524, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 322, 1422, 10383, 1422, 326, 7251, 5416, 14720, 264, 1422, 19008, 1422, 326, 7251, 6262, 320, 22698, 321, 14638, 269, 0, 10521, 1230, 5913, 5737, 10606, 692, 2971, 5565, 1230, 5913, 5737, 10606, 692, 1015, 4924, 267, 476, 1001, 273, 692, 288, 11819, 14659, 540, 1079, 15654, 2338, 538, 519, 2039, 476, 272, 547, 476, 1015, 267, 543, 6645, 5981, 835, 540, 519, 2338, 543, 6341, 519, 824, 780, 21579, 543, 5981, 723, 519, 1739, 6643, 1384, 20694, 281, 594, 1810, 1405, 917, 707, 1297, 563, 21579, 281, 594, 1810, 1405, 917, 707, 1297, 267, 2901, 563, 20694, 281, 3767, 594, 917, 2439, 4692, 596, 1265, 782, 476, 275, 3435, 2496, 11405, 454, 2252, 6341, 610, 5981, 1185, 476, 272, 610, 476, 1015, 267, 1287, 789, 1131, 723, 12193, 621, 2786, 2476, 269, 1809, 9444, 1705, 780, 3719, 950, 5981, 4362, 602, 6341, 4769, 1405, 917, 267, 646, 4682, 689, 711, 6616, 547, 6616, 269, 1924, 5981, 1590, 723, 1185, 513, 1297, 1141, 6341, 781, 2626, 729, 2629, 780, 2252, 5981, 1185, 476, 273, 267, 1287, 6341, 1223, 723, 476, 272, 610, 476, 274, 910, 543, 519, 2629, 2626, 834, 296, 1810, 1405, 917, 707, 1297, 267, 2901, 257, 1131, 723, 12199, 856, 476, 272, 267, 6028, 476, 274, 607, 519, 824, 1297, 630, 11405, 281, 476, 273, 543, 476, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 25153, 4916, 1849, 17064, 2776, 32093, 25705, 31727, 5999, 476, 1001, 280, 630, 21196, 268, 1015, 2020, 32091, 1306, 2869, 1218, 267, 3776, 25153, 4916, 6651, 2319, 568, 3246, 1007, 3126, 540, 25705, 5999, 585, 25153, 4916, 1849, 17064, 2776, 32093, 476, 1001, 280, 865, 519, 8321, 1218, 666, 2259, 621, 593, 513, 3232, 4493, 269, 1452, 2055, 616, 29600, 676, 938, 9952, 4966, 1310, 1620, 707, 2115, 8499, 269, 1306, 2869, 1218, 666, 2259, 891, 1007, 3126, 2055, 3232, 547, 24559, 609, 519, 3169, 981, 4806, 543, 1118, 707, 7041, 2500, 780, 13425, 1934, 585, 25153, 4916, 1849, 17064, 2776, 32093, 631, 1442, 4530, 476, 1001, 280, 692, 314, 310, 335, 3682, 5226, 714, 476, 278, 3953, 276, 6540, 303, 340, 26072, 692, 17445, 687, 630, 272, 5889, 11366, 2108, 276, 2567, 5530, 519, 1739, 1344, 5402, 543, 2626, 519, 2055, 2016, 2630, 621, 780, 292, 697, 7606, 623, 267, 1627, 267, 681, 267, 590, 267, 570, 267, 772, 267, 966, 543, 654, 616, 4535, 538, 519, 1482, 1032, 538, 519, 3275, 540, 5147, 267, 4864, 267, 5181, 543, 5239, 476, 279, 628, 610, 476, 1428, 628, 540, 891, 3275, 269, 3143, 1079, 7606, 941, 4535, 538, 1482, 1554, 269, 9050, 7606, 941, 4535, 1063, 966, 543, 681, 269, 966, 729, 4535, 1354, 681, 269, 623, 729, 4535, 538, 5147, 269, 5565, 7606, 941, 4535, 1063, 623, 543, 570, 269, 1627, 543, 654, 941, 4535, 538, 519, 1482, 3923, 269, 7089, 540, 7606, 4535, 1354, 1627, 729, 3160, 547, 519, 1297, 540, 7606, 4535, 1310, 772, 780, 272, 264, 570, 568, 4535, 593, 799, 540, 519, 1739, 1554, 2496, 320, 264, 476, 279, 628, 5181, 692, 321, 264, 476, 1428, 628, 5147, 692, 322, 264, 476, 279, 628, 4864, 692, 323, 264, 476, 1428, 628, 4864, 692, 324, 264, 7183, 540, 891, 692, 273, 264, 5808, 1851, 519, 1739, 723, 606, 981, 593, 5181, 2496, 320, 264, 570, 692, 321, 264, 590, 692, 322, 264, 681, 692, 323, 264, 1627, 692, 324, 264, 7183, 540, 891, 692, 274, 264, 9050, 540, 519, 1739, 2947, 616, 7567, 538, 513, 1978, 1259, 3976, 1106, 513, 1895, 269, 4855, 519, 835, 945, 1281, 711, 12851, 547, 519, 1895, 2496, 320, 264, 623, 692, 321, 264, 772, 692, 322, 264, 570, 692, 323, 264, 654, 692, 324, 264, 681, 692, 275, 264, 5808, 1851, 519, 1739, 814, 606, 981, 1063, 966, 543, 623, 2496, 320, 264, 570, 692, 321, 264, 1627, 692, 322, 264, 654, 692, 323, 264, 590, 692, 324, 264, 7183, 692, 276, 264, 1215, 1082, 7606, 616, 4535, 1063, 623, 543, 590, 2496, 320, 264, 14520, 692, 321, 264, 12866, 692, 322, 264, 8422, 692, 323, 264, 9050, 692, 324, 264, 7183, 692, 5353, 908, 11460, 692, 17445, 687, 630, 277, 5889, 11366, 2108, 1015, 2567, 5530, 519, 1739, 1344, 5402, 543, 2626, 519, 2055, 2016, 2630, 621, 780, 292, 697, 7606, 12882, 11366, 2108, 631, 267, 715, 267, 744, 267, 623, 267, 1627, 267, 681, 267, 590, 543, 570, 941, 27206, 1472, 513, 4009, 3349, 971, 602, 2185, 540, 873, 941, 27206, 6849, 8998, 1247, 476, 275, 941, 27206, 6849, 2476, 689, 519, 8998, 269, 12287, 9361, 693, 1312, 7944, 543, 8728, 616, 3160, 780, 305, 18795, 3791, 547, 519, 2451, 540, 744, 543, 1312, 941, 9361, 6849, 519, 1482, 4287, 1775, 4318, 1421, 2901, 1312, 3068, 2509, 519, 8998, 610, 2476, 689, 519, 8998, 269, 744, 729, 547, 519, 7525, 2451, 540, 1627, 269, 1627, 729, 6849, 519, 8998, 269, 1627, 729, 27206, 6587, 547, 590, 269, 631, 729, 27206, 3791, 547, 519, 1318, 540, 590, 269, 715, 729, 27206, 547, 519, 7525, 1318, 540, 570, 543, 6587, 547, 681, 269, 623, 543, 631, 941, 27206, 6849, 1482, 4287, 269, 623, 568, 711, 9361, 693, 835, 540, 519, 15174, 780, 277, 264, 9050, 540, 519, 1739, 2947, 616, 7567, 538, 513, 1978, 1259, 3976, 1106, 513, 1895, 269, 4855, 519, 835, 945, 1281, 711, 12851, 547, 519, 1895, 2496, 320, 264, 1627, 692, 321, 264, 715, 692, 322, 264, 681, 692, 323, 264, 744, 692, 324, 264, 590, 692, 278, 264, 5808, 18795, 2034, 547, 519, 2451, 540, 590, 2496, 320, 264, 744, 692, 321, 264, 715, 692, 322, 264, 570, 692, 323, 264, 623, 692, 324, 264, 681, 692, 279, 264, 1215, 1082, 7606, 616, 9361, 1063, 715, 543, 681, 2496, 320, 264, 2290, 692, 321, 264, 5565, 692, 322, 264, 8422, 692, 323, 264, 9050, 692, 324, 264, 7183, 540, 891, 692, 280, 264, 5808, 18795, 6587, 547, 744, 2496, 320, 264, 623, 692, 321, 264, 1627, 692, 322, 264, 715, 692, 323, 264, 681, 692, 324, 264, 590, 692, 1015, 264, 5808, 18795, 6587, 547, 519, 835, 945, 18795, 547, 519, 7525, 2451, 540, 715, 2496, 320, 264, 681, 692, 321, 264, 623, 692, 322, 264, 631, 692, 323, 264, 590, 692, 324, 264, 744, 692, 17445, 687, 630, 272, 268, 276, 17107, 5591, 1079, 7606, 4535, 538, 1482, 1554, 269, 623, 729, 4535, 538, 5147, 269, 5565, 7606, 941, 4535, 1063, 623, 543, 570, 780, 19177, 7606, 941, 4535, 1063, 966, 543, 681, 269, 966, 568, 4535, 1354, 681, 780, 304, 543, 654, 941, 4535, 538, 519, 1482, 3923, 269, 7089, 540, 7606, 4535, 1354, 1627, 729, 3160, 547, 519, 1297, 540, 7606, 4535, 1310, 772, 269, 13651, 1109, 1627, 729, 711, 4535, 538, 5239, 780, 3383, 519, 3803, 11460, 568, 10484, 17445, 687, 630, 277, 268, 1015, 17107, 302, 729, 547, 519, 7525, 2451, 540, 1627, 269, 1627, 729, 6849, 8998, 269, 1627, 729, 27206, 6587, 547, 590, 780, 305, 18795, 3791, 547, 519, 2451, 540, 744, 780, 300, 729, 27206, 3791, 547, 519, 1318, 540, 590, 780, 301, 729, 27206, 547, 519, 7525, 1318, 540, 570, 543, 6587, 547, 681, 780, 13828, 681, 543, 744, 941, 27206, 6849, 1482, 4287, 1775, 4318, 1421, 2901, 1312, 3068, 2509, 519, 8998, 610, 2476, 689, 519, 8998, 780, 303, 543, 631, 941, 27206, 6849, 1482, 4287, 780, 303, 568, 711, 9361, 693, 835, 540, 519, 7944, 780, 3383, 519, 3803, 11460, 568, 267, 0, 14631, 3445, 276, 274, 630, 15893, 2020, 272, 267, 276, 4375, 267, 4962, 274, 630, 821, 2929, 2947, 4627, 13977, 5991, 710, 8536, 15823, 31644, 264, 568, 606, 9642, 5722, 1673, 580, 1080, 6305, 1297, 1739, 476, 14631, 3445, 276, 273, 543, 18631, 476, 14631, 3445, 276, 275, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 269, 634, 2040, 540, 922, 9704, 568, 476, 2918, 269, 898, 814, 513, 2698, 540, 476, 272, 6305, 3815, 543, 476, 273, 2318, 16975, 269, 1703, 616, 476, 272, 267, 276, 4375, 267, 32180, 2318, 9981, 630, 1575, 547, 476, 14631, 3445, 276, 274, 264, 602, 616, 5266, 6305, 547, 476, 14631, 3445, 276, 274, 780, 21995, 3601, 692, 1892, 1772, 11788, 286, 8786, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 278, 454, 1892, 5681, 540, 6226, 1080, 476, 2918, 454, 1892, 7913, 17848, 476, 279, 692, 11243, 692, 14112, 2012, 476, 272, 2929, 476, 276, 4375, 8536, 476, 7871, 835, 2929, 2947, 4627, 13977, 5991, 710, 8536, 15823, 31644, 692, 8253, 566, 692, 26199, 10035, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 692, 28269, 16748, 1436, 540, 476, 14631, 3445, 276, 274, 692, 28269, 16748, 1436, 476, 14631, 3445, 276, 274, 692, 28269, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 272, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 272, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 272, 269, 276, 4375, 4962, 324, 266, 6187, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 910, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 1691, 269, 26727, 278, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 272, 267, 276, 4375, 267, 4962, 274, 568, 476, 14631, 3445, 276, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 272, 6305, 3815, 267, 476, 272, 267, 276, 4375, 267, 4962, 274, 568, 513, 6305, 1297, 780, 19667, 30583, 540, 476, 14631, 3445, 276, 274, 692, 273, 16975, 692, 4634, 16975, 476, 271, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 273, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 272, 269, 276, 4375, 4962, 324, 266, 6187, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 272, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 278, 7597, 276, 2767, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 14862, 271, 269, 6795, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 273, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 272, 267, 276, 4375, 267, 4962, 274, 666, 581, 5258, 676, 476, 273, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 272, 267, 276, 4375, 267, 4962, 274, 264, 568, 476, 272, 267, 276, 4375, 267, 4962, 275, 267, 519, 3328, 568, 476, 278, 7597, 267, 276, 2767, 780, 8448, 25226, 12793, 630, 333, 815, 476, 14631, 3445, 276, 274, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 14631, 3445, 276, 273, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 14631, 3445, 276, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 14138, 277, 3066, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 272, 267, 276, 4375, 267, 32180, 2318, 9981, 630, 1652, 982, 476, 272, 267, 276, 4375, 267, 4962, 274, 264, 602, 616, 2941, 31870, 609, 476, 272, 267, 276, 4375, 267, 4962, 274, 269, 1656, 972, 616, 5111, 476, 14138, 267, 277, 3066, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 272, 267, 276, 4375, 267, 4962, 274, 780, 19667, 529, 2225, 540, 476, 14631, 3445, 276, 274, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 273, 476, 272, 476, 274, 476, 276, 476, 276, 476, 276, 476, 279, 692, 272, 267, 276, 4375, 267, 4962, 274, 568, 711, 16883, 676, 1022, 1297, 1447, 982, 610, 3160, 547, 476, 280, 780, 1892, 25226, 454, 1892, 11788, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 11788, 5295, 454, 1892, 12384, 5131, 692, 26015, 7503, 630, 14631, 3445, 276, 274, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 8099, 9340, 6200, 9340, 6200, 6200, 454, 274, 570, 1716, 776, 476, 19442, 9826, 1001, 14338, 273, 454, 275, 2372, 15715, 776, 476, 13647, 15171, 28590, 4029, 454, 276, 2372, 2435, 476, 29340, 19442, 10711, 454, 277, 7354, 776, 476, 30589, 276, 4029, 1839, 454, 279, 4239, 531, 476, 6321, 278, 276, 4037, 276, 454, 1015, 27252, 476, 14631, 3445, 276, 274, 454, 1321, 13660, 1712, 31565, 476, 25118, 278, 320, 276, 454, 736, 966, 580, 525, 2711, 476, 280, 322, 278, 7251, 454, 3607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31363, 713, 2070, 609, 14172, 593, 12054, 12792, 18986, 1682, 538, 519, 1715, 11620, 17729, 2094, 519, 1160, 5586, 1580, 320, 779, 8313, 563, 4415, 519, 2669, 540, 654, 269, 674, 269, 20999, 538, 476, 4198, 273, 267, 5539, 547, 3136, 631, 9567, 2023, 779, 8239, 8593, 547, 715, 580, 601, 25306, 269, 589, 6297, 543, 524, 690, 550, 1840, 267, 25306, 779, 16522, 1314, 5170, 519, 18631, 12531, 685, 9371, 540, 11108, 14172, 267, 609, 835, 3017, 269, 25306, 779, 2079, 5267, 602, 968, 289, 10041, 5259, 568, 513, 2189, 1893, 609, 513, 9322, 543, 1915, 540, 922, 1378, 1848, 9521, 631, 9567, 2023, 267, 25306, 11363, 519, 5169, 1275, 540, 519, 1893, 1336, 538, 519, 5259, 540, 519, 1715, 11620, 269, 634, 18312, 21169, 2636, 519, 5467, 513, 2034, 1413, 693, 19978, 5259, 267, 11097, 2287, 519, 9165, 540, 741, 1353, 563, 15987, 1196, 4328, 547, 1022, 2875, 540, 5259, 267, 16522, 1314, 568, 16887, 2966, 585, 1614, 5049, 540, 5467, 281, 1101, 267, 519, 4116, 609, 606, 1719, 538, 608, 1122, 8412, 267, 610, 519, 6426, 6037, 1807, 945, 16858, 547, 917, 519, 3169, 4644, 540, 1169, 4070, 282, 2034, 267, 519, 21849, 10404, 585, 7247, 8984, 3604, 538, 519, 2278, 781, 2511, 949, 948, 547, 6430, 1063, 14726, 282, 543, 2063, 569, 267, 519, 2875, 540, 13354, 15599, 1108, 7255, 609, 519, 2078, 540, 19978, 5259, 547, 8106, 543, 18774, 523, 2065, 563, 763, 4320, 568, 9112, 2687, 547, 519, 2679, 909, 540, 519, 5259, 4845, 269, 898, 5956, 609, 2262, 2173, 1468, 585, 4845, 20671, 267, 7575, 593, 998, 519, 2079, 540, 2262, 3766, 12952, 10747, 17205, 610, 21371, 547, 2262, 2173, 1468, 10747, 519, 8231, 563, 763, 2034, 851, 540, 519, 8239, 4145, 519, 2347, 4845, 543, 922, 16105, 269, 898, 2934, 6810, 593, 519, 8723, 2241, 4845, 543, 922, 4070, 543, 593, 1114, 2010, 540, 5220, 543, 741, 8795, 3889, 563, 21206, 2200, 1331, 606, 11606, 540, 1806, 267, 1344, 827, 519, 4908, 540, 519, 12136, 540, 1978, 721, 1137, 267, 543, 824, 5613, 540, 2647, 2542, 543, 1382, 1118, 16522, 1314, 4998, 585, 3610, 543, 1053, 540, 8795, 4690, 543, 4170, 563, 5472, 945, 960, 609, 519, 5259, 1257, 540, 519, 1715, 11620, 1058, 1265, 1496, 306, 9321, 1314, 316, 3407, 563, 1765, 11990, 670, 269, 4787, 559, 2023, 267, 31689, 634, 1670, 4750, 454, 5353, 1203, 344, 1296, 1310, 519, 1101, 4320, 779, 8313, 267, 25306, 6770, 519, 8239, 547, 922, 3932, 269, 1261, 814, 17031, 1055, 519, 1305, 538, 513, 6752, 602, 1058, 6961, 1312, 3730, 543, 4277, 547, 782, 1053, 540, 519, 1715, 11620, 5259, 563, 306, 1399, 548, 568, 5258, 909, 7361, 676, 4589, 267, 5702, 7421, 741, 10058, 21342, 543, 10409, 2934, 269, 25306, 11828, 519, 30827, 543, 4852, 716, 673, 2934, 540, 519, 1585, 12591, 799, 616, 540, 2027, 1719, 538, 1142, 2013, 269, 634, 811, 2489, 6688, 540, 2262, 1931, 267, 20116, 267, 6252, 1143, 543, 2385, 4185, 616, 849, 8947, 269, 26929, 531, 12125, 543, 17523, 616, 3769, 607, 1134, 563, 8649, 921, 2230, 568, 2016, 547, 3695, 519, 2081, 538, 799, 1142, 4589, 685, 13172, 610, 3099, 540, 5259, 568, 10058, 689, 519, 1455, 25391, 710, 269, 3487, 7781, 3007, 568, 2016, 547, 12054, 12792, 7506, 538, 519, 1257, 563, 2005, 1131, 711, 581, 2653, 547, 12398, 11992, 519, 11141, 4015, 540, 1239, 799, 814, 1044, 19632, 1934, 563, 1765, 313, 269, 595, 269, 670, 3941, 267, 24157, 6139, 8619, 15762, 571, 454, 14367, 960, 568, 607, 18398, 607, 621, 568, 521, 2033, 543, 14046, 563, 1765, 24589, 760, 3798, 326, 322, 636, 2041, 24806, 267, 31689, 634, 1670, 4750, 454, 294, 1090, 3901, 673, 29362, 568, 606, 10137, 540, 715, 580, 601, 25306, 779, 8753, 538, 631, 9567, 2023, 779, 18049, 540, 1715, 11620, 5259, 269, 901, 2647, 8573, 4474, 543, 27283, 1353, 267, 17170, 547, 5259, 543, 1875, 8566, 9127, 5640, 7567, 267, 2488, 513, 2318, 9295, 547, 519, 8628, 2495, 540, 11786, 15102, 538, 519, 1715, 11620, 563, 2080, 267, 25306, 568, 7255, 607, 1454, 609, 519, 683, 4451, 974, 608, 1122, 23176, 607, 646, 568, 609, 519, 19023, 5259, 16159, 269, 1280, 519, 30497, 267, 646, 3091, 513, 3126, 540, 8903, 1806, 540, 519, 1198, 8239, 814, 593, 1715, 11620, 18381, 269, 1280, 519, 16159, 267, 646, 3091, 606, 7269, 540, 1010, 960, 538, 631, 9567, 2023, 779, 18049, 267, 28068, 519, 2093, 4843, 972, 883, 11182, 3046, 1042, 676, 519, 8239, 779, 9165, 563, 2419, 9532, 1331, 968, 763, 18049, 540, 2696, 2223, 968, 27716, 540, 9294, 732, 628, 2223, 968, 306, 4954, 540, 570, 1513, 639, 2223, 968, 1805, 269, 6754, 779, 9752, 2223, 968, 306, 5593, 3627, 2223, 543, 968, 8448, 19536, 1701, 589, 25759, 3184, 9388, 609, 513, 1966, 547, 799, 25306, 814, 1044, 4758, 1454, 1353, 543, 2219, 267, 968, 763, 5678, 540, 4906, 543, 1010, 2598, 3321, 3034, 6624, 5640, 2070, 631, 9567, 2023, 779, 18049, 607, 835, 540, 519, 11358, 1568, 538, 1715, 11620, 5259, 2090, 3812, 538, 519, 2063, 2540, 269, 1635, 30010, 519, 14046, 17284, 540, 713, 960, 609, 519, 1893, 543, 8239, 2645, 540, 519, 8298, 657, 6426, 12229, 1062, 267, 8298, 657, 814, 2919, 606, 5863, 4199, 585, 519, 1353, 540, 1715, 11620, 5259, 563, 1607, 2140, 568, 1152, 835, 540, 519, 30856, 5931, 593, 5259, 8239, 2907, 513, 851, 540, 519, 8298, 657, 6426, 12229, 5399, 269, 589, 18049, 540, 1715, 11620, 5259, 3568, 3875, 14327, 547, 1568, 971, 607, 589, 11053, 269, 21662, 517, 779, 18049, 540, 519, 5259, 1715, 11620, 538, 519, 8752, 540, 8466, 3194, 267, 7665, 2098, 518, 19213, 779, 19978, 5259, 267, 543, 19124, 645, 21516, 779, 589, 5259, 30165, 22858, 6625, 540, 519, 1715, 11620, 543, 4033, 7216, 4168, 9085, 12059, 9990, 269, 2060, 8644, 1258, 1460, 779, 538, 17856, 11239, 1883, 331, 9722, 267, 596, 666, 1847, 1063, 6121, 332, 1513, 267, 7393, 707, 1353, 609, 513, 3309, 2039, 540, 16752, 563, 3528, 4946, 5259, 1893, 10478, 267, 20750, 6625, 2200, 267, 22521, 2090, 267, 543, 519, 3044, 538, 17856, 10478, 596, 2503, 689, 8298, 657, 267, 4946, 513, 2947, 4320, 1305, 899, 519, 631, 9567, 2023, 268, 1692, 731, 6874, 1248, 518, 5259, 18049, 14635, 547, 707, 8298, 657, 6426, 12229, 2306, 621, 811, 3015, 543, 267, 4061, 267, 4443, 547, 1353, 563, 1103, 513, 942, 950, 972, 568, 13385, 6284, 540, 519, 1804, 9295, 799, 5259, 8239, 543, 16105, 666, 1118, 547, 938, 1620, 540, 519, 1715, 11620, 513, 4320, 971, 607, 25306, 779, 568, 10950, 8197, 563, 1765, 11990, 670, 269, 4787, 559, 2023, 267, 31689, 634, 1670, 4750, 454, 22832, 16593, 631, 9567, 2023, 630, 5908, 274, 1700, 4489, 278, 264, 729, 4535, 538, 29430, 267, 5080, 9445, 269, 589, 24380, 2917, 534, 14012, 267, 631, 9567, 2023, 4371, 1585, 4081, 20499, 269, 634, 1034, 1271, 540, 799, 729, 5682, 6229, 7548, 540, 18774, 523, 2065, 5259, 543, 21475, 1700, 28158, 15599, 1108, 693, 519, 2160, 540, 25480, 269, 1261, 729, 13752, 513, 1297, 540, 8956, 776, 5232, 676, 3056, 3703, 543, 4436, 9945, 267, 543, 3370, 1082, 2835, 543, 4574, 593, 2098, 19660, 770, 6929, 1143, 543, 519, 5259, 5931, 602, 519, 6426, 568, 6508, 689, 269, 3571, 1292, 12591, 616, 1323, 4985, 547, 519, 5530, 540, 1715, 11620, 5259, 267, 634, 3163, 540, 5678, 543, 519, 5530, 540, 519, 1715, 11620, 2073, 18049, 540, 1715, 11620, 5259, 5292, 269, 476, 272, 267, 7216, 16241, 17826, 540, 30111, 267, 7216, 2098, 19660, 770, 6929, 1143, 267, 9671, 687, 543, 15215, 267, 3245, 12266, 11676, 321, 880, 1261, 2355, 267, 3703, 543, 4436, 18623, 1222, 267, 634, 7066, 5501, 540, 519, 7395, 328, 267, 589, 10598, 21124, 15762, 26963, 543, 4033, 5525, 543, 17372, 525, 267, 543, 634, 4168, 15215, 538, 519, 5530, 543, 519, 9335, 269, 1261, 5747, 540, 4598, 1310, 519, 6928, 593, 799, 646, 729, 13059, 689, 513, 4663, 540, 3127, 729, 8731, 6244, 334, 539, 543, 3141, 330, 563, 301, 580, 601, 25306, 630, 4489, 277, 268, 3738, 729, 24153, 538, 28613, 693, 519, 2160, 540, 10910, 3941, 807, 269, 1261, 5280, 14377, 519, 1715, 2296, 6426, 269, 1261, 568, 849, 519, 2278, 540, 4168, 9293, 267, 634, 3203, 540, 519, 5259, 18179, 5783, 267, 543, 8329, 547, 1323, 12039, 547, 13985, 10042, 267, 5259, 268, 3891, 11119, 267, 12355, 8566, 9127, 267, 5824, 268, 3891, 11119, 267, 609, 519, 5204, 686, 659, 543, 29515, 15845, 563, 310, 559, 6975, 14731, 20999, 630, 6642, 271, 268, 4198, 273, 264, 30363, 8567, 4340, 547, 853, 269, 3627, 267, 634, 23620, 540, 1715, 11620, 18623, 1222, 267, 543, 634, 19549, 20227, 538, 10765, 29576, 543, 28604, 269, 0, 2171, 4076, 1185, 1187, 4974, 827, 27248, 2831, 543, 835, 540, 1346, 2831, 568, 2507, 1492, 22559, 256, 1703, 616, 31450, 1934, 538, 11908, 267, 855, 649, 15991, 2479, 1294, 873, 1317, 789, 2461, 909, 950, 649, 2461, 18069, 269, 9462, 30904, 454, 7712, 649, 4076, 1044, 6158, 827, 2831, 602, 616, 3781, 968, 578, 3149, 892, 630, 1326, 621, 286, 1070, 594, 17031, 909, 930, 4190, 22559, 2835, 585, 3214, 602, 649, 666, 2671, 1927, 269, 1403, 596, 2461, 4974, 31450, 713, 2887, 267, 2638, 856, 891, 1650, 9248, 543, 15923, 2835, 585, 930, 15813, 22559, 5013, 2336, 2252, 596, 2648, 891, 267, 1810, 1406, 4413, 938, 1592, 540, 7703, 2835, 585, 3214, 607, 1134, 256, 1656, 585, 513, 1187, 4739, 1788, 267, 1294, 875, 547, 1118, 513, 20036, 6995, 6882, 22559, 4739, 609, 519, 3214, 2336, 302, 342, 331, 7734, 585, 8866, 912, 1607, 2022, 3568, 24988, 6402, 269, 1280, 3877, 267, 1294, 938, 2598, 26918, 8889, 563, 273, 269, 9741, 26449, 779, 13957, 676, 6555, 5984, 590, 12541, 643, 553, 534, 454, 274, 269, 26449, 9040, 625, 676, 9410, 654, 5417, 749, 454, 275, 269, 2817, 22127, 22419, 281, 15083, 3149, 676, 23718, 15794, 454, 276, 269, 9741, 26449, 23452, 676, 18281, 670, 2795, 2023, 454, 278, 269, 10289, 519, 2622, 540, 15083, 3149, 676, 3004, 1097, 3367, 454, 279, 269, 634, 4446, 333, 15083, 3149, 676, 25414, 3627, 8725, 454, 280, 269, 26449, 693, 5851, 630, 296, 2052, 3367, 5426, 476, 273, 264, 676, 28199, 31123, 601, 454, 1015, 269, 670, 2393, 26449, 267, 9457, 540, 2598, 7666, 1047, 676, 1530, 534, 13177, 454, 8450, 519, 1964, 540, 519, 1592, 593, 2985, 476, 273, 256, 0, 9989, 519, 3280, 540, 2576, 26378, 741, 11263, 267, 14578, 521, 662, 532, 267, 610, 7244, 10978, 569, 1118, 596, 1616, 547, 3458, 600, 888, 296, 1589, 649, 666, 782, 9305, 593, 930, 1377, 269, 1809, 1018, 827, 950, 1346, 4606, 2490, 883, 7920, 4606, 540, 10845, 267, 29832, 755, 267, 610, 1256, 519, 991, 547, 9308, 9101, 519, 3510, 888, 2467, 779, 513, 2012, 585, 713, 281, 3765, 2684, 8205, 269, 898, 779, 513, 16496, 3280, 8417, 4524, 1107, 543, 693, 922, 1034, 3665, 267, 621, 666, 4625, 7519, 513, 3411, 19907, 779, 1272, 563, 3719, 28810, 27383, 547, 3280, 568, 513, 1966, 602, 1082, 1004, 609, 11838, 630, 3430, 1549, 17211, 30759, 4524, 264, 666, 849, 9305, 547, 269, 1924, 568, 3765, 2684, 8205, 2965, 513, 1106, 610, 5310, 513, 10835, 540, 11838, 286, 1548, 779, 519, 4276, 1063, 873, 888, 1103, 713, 2376, 649, 3580, 1491, 513, 6251, 1413, 693, 3765, 2684, 8205, 543, 519, 10444, 28810, 27383, 2460, 540, 11838, 281, 1018, 789, 616, 543, 1018, 519, 1761, 6402, 616, 1063, 873, 269, 1656, 952, 596, 7985, 689, 835, 267, 1018, 779, 519, 10171, 602, 596, 2461, 2713, 609, 519, 824, 888, 1432, 568, 3765, 2684, 8205, 888, 763, 4890, 2495, 540, 3765, 2684, 8205, 568, 519, 23998, 540, 3280, 563, 763, 3621, 543, 2564, 10600, 616, 1869, 3768, 1815, 3660, 593, 1018, 621, 2965, 568, 1107, 568, 621, 513, 4524, 610, 513, 2407, 17867, 2783, 286, 2290, 3364, 602, 779, 4922, 8815, 568, 602, 922, 2589, 616, 1360, 1483, 585, 1346, 11972, 873, 563, 24978, 610, 1256, 513, 2407, 11784, 4323, 563, 4517, 4352, 519, 1034, 1455, 7553, 1004, 1745, 950, 15427, 568, 10845, 267, 972, 616, 1866, 267, 799, 1331, 912, 4113, 2271, 1619, 2566, 454, 4113, 18461, 902, 540, 1373, 16290, 610, 12758, 454, 27407, 267, 693, 922, 10782, 621, 666, 2014, 2576, 547, 1995, 519, 11566, 968, 325, 697, 610, 8184, 7536, 3383, 1018, 616, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10307, 630, 5408, 2689, 538, 4676, 269, 476, 10082, 1916, 15703, 2090, 1397, 602, 7513, 703, 1389, 616, 2362, 538, 14915, 908, 982, 1875, 331, 716, 908, 2021, 543, 602, 7513, 703, 1389, 2333, 607, 519, 1453, 1831, 4587, 630, 663, 29186, 548, 811, 5144, 282, 552, 3052, 1421, 4676, 338, 269, 476, 274, 267, 476, 16960, 267, 476, 14631, 267, 476, 15150, 267, 476, 14341, 267, 14690, 267, 476, 28071, 1040, 2271, 3419, 5224, 569, 267, 2021, 8808, 21054, 8532, 3648, 811, 7513, 982, 798, 2021, 609, 1152, 835, 1126, 547, 12016, 855, 723, 2362, 16796, 7513, 9830, 630, 13647, 1040, 5047, 267, 519, 5223, 540, 7513, 6981, 547, 17811, 6981, 568, 2362, 538, 11299, 540, 21054, 982, 2206, 30416, 630, 13647, 1070, 11021, 972, 949, 581, 4776, 22460, 6981, 540, 7513, 1282, 14915, 566, 269, 2986, 1576, 267, 621, 568, 15458, 2436, 713, 568, 1813, 547, 2242, 538, 2732, 5542, 547, 3870, 7513, 25202, 2472, 267, 10071, 531, 547, 2799, 1648, 703, 1389, 267, 610, 519, 1267, 540, 9422, 13508, 563, 307, 2586, 1927, 267, 891, 2164, 1118, 606, 1303, 6005, 2013, 585, 519, 6228, 540, 513, 1480, 7513, 14031, 267, 855, 621, 568, 2484, 689, 8903, 269, 1703, 616, 693, 2547, 1614, 4128, 1946, 713, 949, 581, 865, 269, 3689, 267, 18864, 814, 18928, 6743, 585, 513, 1480, 7513, 14031, 269, 5822, 267, 621, 568, 2009, 602, 3425, 723, 17916, 8965, 6127, 547, 4431, 547, 7513, 10638, 855, 2760, 946, 873, 269, 901, 568, 1317, 519, 968, 869, 892, 1480, 7513, 703, 1389, 705, 1817, 1042, 676, 6484, 1235, 616, 10355, 607, 1970, 607, 1346, 1031, 538, 3662, 2090, 269, 634, 2136, 2276, 5227, 3232, 27108, 543, 824, 7513, 6981, 7840, 616, 1759, 593, 4027, 689, 3676, 602, 3622, 10880, 1310, 519, 10285, 1296, 267, 543, 865, 5821, 547, 2743, 891, 703, 1389, 11851, 338, 2370, 12105, 16496, 2604, 269, 898, 949, 581, 602, 7513, 10638, 538, 3425, 568, 2760, 18481, 4049, 547, 19334, 8965, 6127, 563, 763, 3791, 3390, 25701, 547, 875, 513, 7513, 14031, 1131, 581, 4767, 269, 4634, 896, 519, 1034, 4412, 25875, 6381, 267, 972, 568, 4057, 19359, 1063, 12214, 991, 543, 1426, 5542, 538, 3425, 269, 1280, 1383, 267, 972, 568, 513, 2489, 3661, 602, 2550, 609, 29427, 1202, 340, 11797, 8532, 1804, 5666, 540, 10878, 5141, 269, 4014, 713, 6157, 4386, 3006, 630, 28766, 1070, 1152, 827, 835, 2937, 3461, 538, 3670, 814, 5469, 2406, 1164, 10878, 5141, 703, 1389, 630, 5408, 4676, 269, 476, 1428, 1040, 14904, 609, 29427, 19518, 945, 17696, 3536, 609, 513, 1164, 6070, 1543, 971, 607, 8423, 543, 10487, 17064, 571, 583, 968, 323, 573, 711, 538, 1022, 1259, 12314, 519, 6159, 1324, 585, 891, 3536, 609, 741, 1164, 6070, 1543, 269, 2353, 789, 6785, 729, 602, 519, 1426, 1185, 606, 29099, 16990, 6492, 547, 873, 892, 630, 24487, 1916, 9824, 894, 547, 519, 2013, 585, 9770, 267, 1141, 972, 568, 513, 1134, 20452, 6492, 2298, 267, 519, 6381, 585, 7020, 540, 7513, 616, 2484, 689, 4998, 269, 4317, 543, 2686, 9993, 21391, 519, 4616, 540, 968, 335, 675, 892, 2959, 540, 7513, 971, 607, 7633, 267, 16115, 267, 543, 1608, 3249, 748, 27497, 269, 667, 8543, 2472, 267, 799, 1106, 519, 1034, 3507, 762, 2707, 540, 7513, 538, 519, 2136, 2276, 2732, 267, 723, 1950, 8137, 12632, 269, 4935, 267, 952, 972, 568, 513, 10058, 6492, 547, 7513, 267, 621, 949, 1134, 581, 9633, 539, 269, 634, 2360, 540, 7513, 10638, 593, 1426, 3903, 616, 1500, 1256, 811, 7294, 676, 519, 11601, 540, 8137, 7375, 1813, 547, 519, 7681, 540, 1880, 10366, 609, 741, 6225, 2360, 269, 1280, 1383, 267, 1239, 689, 519, 3731, 6029, 602, 9770, 5391, 518, 919, 7513, 689, 11919, 5946, 3366, 547, 519, 11556, 602, 835, 3210, 547, 7513, 10638, 568, 547, 8532, 9770, 1317, 713, 17303, 10970, 28179, 7513, 10638, 630, 29218, 1040, 3117, 11167, 9770, 1131, 2569, 519, 14031, 585, 7513, 2394, 519, 3606, 9770, 729, 608, 920, 1540, 269, 7201, 891, 6381, 267, 30644, 3536, 1131, 1831, 9053, 1282, 7513, 10638, 1256, 1498, 6070, 1465, 1281, 711, 5365, 7513, 563, 2467, 616, 9940, 855, 10388, 1239, 547, 1489, 713, 8367, 269, 7377, 2827, 609, 513, 1164, 3747, 585, 7513, 723, 11506, 10878, 5141, 7375, 1496, 324, 3052, 1421, 9176, 543, 14915, 908, 2021, 630, 27149, 1070, 1453, 630, 1626, 267, 476, 2568, 267, 476, 10170, 264, 4940, 5047, 267, 5396, 609, 1970, 7513, 703, 1389, 4782, 3648, 2362, 9830, 540, 10878, 5141, 538, 16603, 10433, 543, 824, 2892, 1540, 3536, 982, 798, 5396, 609, 1164, 7513, 703, 1389, 630, 6246, 267, 476, 29574, 1040, 2859, 3622, 267, 513, 1804, 267, 1134, 22306, 1353, 1336, 602, 7513, 21455, 4389, 26351, 540, 2021, 7092, 689, 840, 5443, 11584, 531, 2589, 630, 25971, 1040, 634, 1448, 1934, 568, 602, 7513, 14031, 1131, 581, 2352, 547, 2697, 1317, 621, 1131, 711, 8209, 3132, 513, 1689, 538, 6010, 532, 540, 7513, 25202, 3536, 1152, 563, 763, 1292, 1599, 540, 713, 2689, 568, 547, 10332, 3988, 547, 519, 5763, 540, 2963, 585, 519, 6228, 540, 513, 7513, 14031, 269, 634, 10206, 4371, 676, 1896, 2038, 22602, 602, 7513, 14031, 729, 711, 4277, 1317, 621, 729, 4121, 568, 11234, 269, 4014, 972, 568, 1100, 8969, 602, 2831, 666, 12314, 2447, 657, 29022, 10291, 609, 519, 20171, 24304, 2360, 540, 7513, 28453, 630, 324, 3052, 1421, 4676, 338, 269, 476, 2004, 267, 476, 9873, 267, 476, 14530, 267, 476, 27886, 267, 476, 28091, 267, 476, 27088, 1070, 972, 568, 849, 2178, 2963, 585, 17916, 8060, 540, 519, 14031, 630, 324, 3052, 1421, 4676, 338, 269, 476, 5392, 267, 476, 2004, 267, 476, 6245, 1040, 4935, 267, 899, 1034, 824, 5615, 267, 7513, 14031, 814, 1312, 17916, 543, 4121, 3334, 563, 2467, 616, 1082, 796, 637, 9407, 2152, 827, 7513, 14031, 269, 12344, 519, 1034, 1271, 835, 568, 519, 2470, 540, 519, 12214, 2680, 610, 2621, 602, 20006, 543, 2165, 3729, 621, 269, 20290, 782, 519, 1239, 616, 5812, 609, 513, 2241, 2203, 538, 799, 519, 14031, 568, 11201, 569, 1644, 547, 1973, 9357, 1242, 7513, 9830, 630, 324, 3052, 1421, 4676, 338, 269, 476, 9873, 267, 476, 14530, 267, 476, 29579, 282, 1294, 8431, 269, 277, 1040, 6270, 513, 7271, 568, 24253, 569, 2241, 855, 6763, 538, 6825, 4334, 547, 1346, 5817, 824, 12608, 2572, 267, 1141, 2789, 17441, 543, 8849, 8060, 616, 3238, 267, 543, 1114, 6127, 7119, 538, 22612, 543, 2893, 2747, 630, 324, 3052, 1421, 4676, 338, 269, 476, 6858, 267, 476, 8064, 267, 476, 8660, 267, 476, 10844, 267, 476, 11152, 1040, 594, 14353, 602, 519, 3551, 7778, 540, 519, 5817, 7271, 540, 7513, 14031, 9356, 519, 533, 14072, 640, 540, 22317, 1239, 2864, 982, 519, 16134, 540, 519, 7271, 269, 11048, 267, 621, 568, 1271, 547, 3605, 875, 543, 1141, 2242, 538, 1973, 7513, 5834, 616, 9571, 676, 519, 595, 10064, 543, 875, 891, 6786, 616, 9268, 547, 3310, 2623, 563, 2005, 568, 15673, 532, 547, 5635, 519, 14031, 585, 7513, 609, 519, 1454, 811, 8499, 6594, 14031, 585, 9770, 269, 1717, 267, 519, 19320, 616, 711, 1360, 2178, 269, 1280, 9770, 267, 519, 3119, 4384, 1807, 540, 519, 14031, 568, 519, 5348, 1120, 2065, 2962, 540, 2587, 3999, 839, 514, 543, 620, 323, 16238, 538, 519, 2634, 630, 6858, 267, 476, 8064, 267, 476, 6434, 267, 476, 10844, 1040, 634, 7271, 540, 2893, 2747, 568, 1447, 2312, 267, 855, 693, 2547, 538, 519, 3731, 267, 621, 4440, 3322, 16063, 543, 646, 31154, 9770, 543, 15259, 3467, 1061, 832, 2864, 982, 513, 1463, 2962, 540, 9770, 538, 519, 2634, 630, 6858, 267, 3199, 267, 476, 4968, 267, 476, 19054, 1040, 1280, 7513, 14031, 267, 519, 2963, 568, 1996, 513, 5348, 1120, 2045, 4999, 540, 519, 1614, 3119, 10399, 630, 29579, 1070, 543, 7429, 519, 3510, 609, 2587, 3999, 839, 514, 543, 6070, 14031, 267, 972, 568, 1100, 2963, 602, 1612, 4331, 5514, 9449, 610, 18287, 527, 13908, 666, 3310, 7513, 6981, 10446, 540, 741, 3527, 593, 1973, 7513, 9830, 269, 634, 6252, 1063, 620, 323, 16238, 543, 476, 272, 267, 1839, 263, 15121, 264, 273, 291, 568, 10578, 1317, 1312, 616, 28335, 602, 3986, 15499, 9357, 10338, 543, 17669, 556, 25388, 1632, 267, 543, 1312, 666, 3310, 14031, 269, 1717, 267, 1804, 13066, 540, 620, 323, 16238, 2333, 10878, 5141, 6981, 630, 17168, 1070, 855, 1804, 13066, 540, 476, 272, 267, 1839, 263, 15121, 264, 273, 291, 6175, 7513, 6981, 630, 29579, 1040, 4935, 606, 1620, 540, 9770, 14031, 814, 711, 8810, 3226, 3730, 538, 1620, 7513, 14031, 269, 11569, 267, 7513, 14031, 1522, 811, 7443, 2406, 581, 3379, 609, 519, 14031, 585, 7280, 610, 1648, 267, 1317, 7429, 9770, 27921, 267, 891, 4125, 513, 13111, 630, 14752, 585, 7513, 267, 25026, 4094, 543, 5924, 3170, 585, 7280, 543, 1648, 282, 1294, 4676, 269, 476, 25834, 585, 513, 13111, 3069, 540, 9770, 14031, 1916, 763, 9295, 540, 5642, 547, 519, 1852, 540, 7513, 14031, 568, 23257, 1819, 269, 2368, 1909, 4667, 2693, 1317, 621, 568, 3622, 811, 2352, 547, 3132, 513, 7513, 14031, 538, 1804, 2831, 630, 5976, 2462, 7633, 264, 982, 1507, 3283, 630, 5976, 2370, 7633, 282, 1294, 3392, 269, 25831, 1040, 898, 568, 7164, 2436, 7513, 31398, 337, 1882, 2831, 2016, 1569, 547, 513, 2707, 540, 7513, 3824, 652, 6190, 547, 973, 19281, 782, 519, 5642, 7513, 789, 723, 4503, 269, 681, 1846, 543, 17944, 666, 3824, 652, 2614, 7513, 547, 556, 10968, 29414, 7513, 2157, 1369, 513, 1906, 3764, 269, 1403, 1973, 7513, 2157, 616, 1644, 547, 7513, 6981, 267, 835, 1522, 2503, 602, 28119, 2831, 1131, 3824, 652, 7513, 538, 15768, 536, 8083, 607, 29414, 7513, 8637, 616, 14578, 4904, 543, 1287, 27071, 547, 25579, 880, 5642, 8637, 269, 898, 568, 849, 10703, 22133, 602, 7513, 14031, 1223, 4431, 547, 513, 5955, 5365, 689, 5642, 269, 901, 1131, 581, 26922, 538, 2962, 547, 682, 696, 514, 267, 519, 968, 325, 520, 1922, 3975, 3724, 892, 9449, 267, 3238, 538, 519, 1852, 540, 1648, 14031, 563, 763, 1970, 1973, 7513, 30041, 7513, 6981, 8367, 1281, 711, 3362, 13918, 4681, 602, 7245, 540, 10285, 543, 29427, 28335, 2333, 7513, 6981, 630, 324, 3052, 1421, 4676, 338, 269, 476, 6924, 1700, 3583, 267, 476, 29483, 1040, 2290, 540, 519, 7887, 2152, 609, 713, 3332, 568, 519, 23506, 540, 519, 4679, 538, 7513, 14031, 269, 4107, 540, 519, 2090, 3238, 17544, 2016, 513, 3903, 1063, 2185, 7777, 8392, 1938, 630, 5632, 6458, 267, 11379, 267, 13101, 267, 543, 9770, 1040, 769, 5176, 1169, 2013, 1141, 7513, 6981, 2799, 267, 972, 729, 849, 606, 2333, 538, 10878, 5141, 6981, 269, 5047, 267, 1648, 6981, 568, 2799, 1282, 6379, 543, 14915, 566, 267, 543, 676, 7245, 540, 1609, 2784, 2723, 610, 19697, 630, 5408, 4676, 338, 269, 476, 5325, 267, 476, 6858, 543, 8100, 972, 514, 1040, 2201, 519, 824, 1688, 267, 646, 985, 2016, 513, 5094, 2707, 540, 7513, 1282, 4212, 18413, 17696, 519, 7110, 543, 1705, 711, 1397, 519, 8912, 2333, 538, 1426, 6981, 630, 5408, 4676, 269, 476, 30525, 1070, 11021, 602, 267, 693, 2547, 538, 713, 2013, 267, 1648, 6981, 568, 10071, 531, 547, 519, 991, 585, 7513, 269, 898, 3788, 547, 581, 5462, 547, 1018, 6708, 519, 1614, 12608, 2572, 616, 4830, 610, 4431, 547, 513, 2582, 12214, 1852, 563, 763, 23506, 540, 7513, 14031, 814, 1044, 606, 11972, 6161, 269, 681, 1846, 27226, 540, 8192, 7513, 2333, 28453, 540, 3309, 6070, 3435, 267, 1519, 1034, 1395, 26276, 543, 546, 20884, 8392, 1938, 267, 930, 7408, 267, 543, 1291, 21449, 622, 630, 4366, 267, 476, 5392, 267, 28638, 267, 476, 22550, 267, 476, 23310, 1040, 2368, 540, 891, 3435, 949, 581, 28041, 1317, 789, 6492, 2147, 547, 7513, 269, 11524, 267, 971, 607, 10878, 5141, 543, 1291, 21449, 622, 267, 949, 693, 2547, 17303, 993, 601, 1640, 622, 7513, 10638, 630, 29218, 1040, 11048, 267, 713, 3668, 540, 23506, 568, 22522, 609, 513, 1808, 14031, 269, 21298, 267, 621, 814, 1044, 6700, 602, 519, 14031, 585, 7513, 3812, 676, 25280, 311, 568, 811, 1808, 982, 602, 3812, 676, 8192, 22975, 630, 15757, 267, 476, 12739, 1070, 5310, 1317, 540, 519, 4028, 12614, 540, 10638, 1310, 25280, 311, 269, 1717, 267, 519, 2090, 1210, 14148, 609, 25280, 311, 4125, 513, 3903, 1449, 630, 25519, 5141, 273, 5288, 269, 10878, 5141, 610, 27002, 5141, 273, 1070, 6466 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 538, 5163, 950, 519, 3662, 30254, 3196, 729, 711, 6190, 269, 634, 2164, 941, 1585, 281, 519, 2333, 540, 4074, 7607, 267, 519, 6454, 540, 10286, 2298, 267, 513, 1732, 1852, 540, 519, 5411, 936, 519, 2504, 1184, 269, 1879, 519, 8970, 941, 22691, 789, 556, 9464, 519, 4610, 609, 7504, 1673, 22148, 556, 3639, 282, 519, 26986, 3107, 3576, 1747, 593, 519, 3484, 12881, 282, 547, 5094, 519, 9274, 519, 10568, 729, 29041, 609, 513, 2864, 1279, 6529, 267, 519, 1439, 540, 799, 729, 13615, 609, 513, 14816, 540, 16463, 267, 1776, 6529, 267, 10156, 543, 18219, 267, 799, 729, 29352, 538, 519, 2011, 543, 2887, 593, 519, 18061, 540, 26389, 1547, 2060, 519, 8798, 540, 519, 4835, 13674, 2599, 713, 960, 729, 2944, 609, 519, 948, 540, 519, 26986, 615, 269, 634, 1439, 540, 519, 26986, 3107, 729, 547, 2322, 519, 10568, 538, 521, 2931, 267, 1247, 519, 12450, 729, 533, 6150, 538, 1390, 646, 2355, 563, 15578, 966, 6579, 6369, 12283, 700, 9281, 292, 454, 763, 2197, 729, 8385, 1396, 676, 3282, 22311, 602, 941, 23564, 593, 543, 1055, 676, 513, 18513, 804, 17064, 1572, 22917, 680, 7660, 269, 2353, 519, 8075, 1185, 835, 610, 1079, 19683, 1657, 2666, 543, 519, 3845, 1063, 873, 729, 1100, 811, 982, 2185, 7397, 267, 585, 602, 519, 2021, 267, 1373, 693, 1753, 3257, 26050, 267, 1223, 3362, 598, 2091, 609, 1142, 824, 610, 6467, 267, 609, 513, 29647, 267, 519, 3615, 689, 835, 2545, 935, 344, 547, 1776, 269, 634, 8075, 1185, 835, 610, 267, 693, 1034, 267, 1079, 11623, 269, 1703, 729, 519, 16832, 547, 2661, 281, 513, 1804, 5127, 267, 513, 9221, 267, 513, 3349, 267, 513, 1906, 23107, 543, 513, 1906, 588, 8962, 269, 769, 519, 10051, 972, 941, 31781, 267, 519, 2048, 335, 793, 1092, 685, 263, 10177, 6463, 5986, 1494, 1070, 11308, 610, 10036, 8286, 267, 519, 30660, 585, 7727, 540, 1216, 543, 12450, 30504, 16304, 593, 519, 3774, 799, 6192, 519, 29939, 902, 269, 634, 14334, 941, 1175, 25139, 676, 3282, 17689, 267, 1287, 676, 737, 14058, 2940, 17689, 543, 267, 585, 1346, 945, 1223, 6488, 621, 267, 676, 606, 3167, 15941, 267, 609, 6167, 2464, 585, 325, 7159, 4579, 267, 609, 476, 1428, 26334, 269, 634, 942, 729, 5309, 9822, 730, 676, 519, 30518, 269, 589, 16563, 7745, 676, 519, 9739, 540, 519, 2021, 267, 689, 519, 1453, 781, 3756, 267, 689, 519, 8574, 540, 513, 7047, 610, 519, 561, 675, 540, 8265, 21527, 267, 689, 519, 17180, 32291, 267, 519, 22938, 31066, 269, 1879, 5162, 3357, 267, 1004, 10356, 1472, 519, 2909, 345, 1512, 8781, 741, 7953, 267, 519, 2025, 2367, 5143, 519, 2984, 540, 519, 2250, 267, 519, 2112, 540, 519, 6512, 1080, 543, 519, 9735, 5515, 267, 26734, 267, 979, 4565, 1231, 543, 941, 342, 11510, 1547, 1879, 519, 3595, 729, 10057, 789, 4682, 547, 3207, 267, 547, 3636, 909, 563, 15578, 674, 5357, 298, 26353, 454, 763, 12563, 1148, 267, 1256, 538, 922, 16134, 267, 729, 519, 1259, 602, 4847, 519, 18803, 1004, 547, 2769, 2933, 543, 1185, 513, 2178, 2366, 14939, 543, 3929, 25664, 725, 267, 519, 6397, 25372, 543, 30181, 941, 12261, 883, 2241, 3515, 4352, 711, 1510, 513, 2178, 5279, 540, 11430, 878, 1143, 563, 1607, 1148, 729, 13736, 676, 519, 1352, 23311, 543, 519, 16027, 282, 676, 519, 13492, 2006, 543, 519, 2777, 342, 1057, 282, 607, 1134, 607, 676, 519, 5418, 2041, 1014, 945, 6068, 267, 3592, 15859, 1947, 267, 3083, 1518, 519, 3615, 602, 941, 1031, 4948, 538, 922, 1272, 563, 2171, 1058, 1589, 547, 519, 16853, 543, 519, 2458, 1513, 540, 930, 2831, 602, 519, 1352, 23311, 24224, 609, 18305, 602, 18056, 1010, 4978, 543, 1010, 1604, 282, 519, 838, 9398, 267, 519, 17078, 956, 543, 519, 20077, 11308, 588, 8962, 799, 24224, 519, 16434, 5321, 282, 543, 849, 519, 2377, 549, 3187, 625, 543, 519, 561, 2167, 799, 941, 519, 1292, 1106, 540, 7499, 4082, 540, 938, 20516, 338, 267, 519, 7601, 3615, 540, 24886, 5546, 602, 941, 8288, 538, 519, 10051, 267, 519, 11815, 902, 267, 543, 6368, 267, 519, 4401, 7841, 902, 799, 24224, 519, 30013, 8075, 563, 288, 1906, 1806, 547, 3314, 875, 538, 519, 2250, 1004, 941, 20916, 547, 5007, 1125, 741, 7209, 543, 741, 9703, 17381, 563, 303, 8656, 313, 313, 288, 590, 8160, 2752, 8656, 16692, 13878, 2316, 3008, 1923, 476, 278, 1015, 1724, 590, 269, 22542, 10976, 3198, 25712, 681, 5588, 2177, 23077, 1923, 5442, 23859, 287, 300, 27516, 8016, 4338, 308, 3198, 302, 269, 3951, 1923, 13431, 310, 8160, 27516, 8016, 4338, 308, 3198, 302, 269, 3951 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 32677, 566, 3069, 269, 1280, 713, 2186, 540, 2042, 835, 814, 547, 946, 7313, 514, 3249, 6441, 785, 23264, 339, 1505, 1496, 272, 316, 1496, 273, 4940, 634, 1507, 6724, 538, 519, 5449, 11186, 4834, 616, 4399, 10401, 259, 543, 4399, 15883, 259, 865, 649, 666, 2328, 1524, 630, 1492, 1482, 666, 2944, 585, 4399, 15883, 259, 2567, 6695, 9536, 582, 12757, 348, 1341, 1422, 18652, 318, 271, 317, 273, 343, 815, 28363, 10401, 13375, 3287, 317, 273, 10954, 2765, 3189, 15883, 7346, 10401, 26507, 317, 274, 1422, 2431, 1040, 2330, 3371, 4399, 10401, 259, 786, 581, 938, 1507, 9936, 543, 649, 616, 3168, 585, 513, 3070, 540, 519, 1106, 3230, 343, 6025, 264, 815, 589, 315, 6523, 7268, 18652, 512, 264, 1341, 1422, 10401, 1535, 318, 272, 6025, 264, 1341, 1422, 10401, 317, 273, 343, 318, 273, 6025, 264, 1341, 1422, 24126, 2330, 6695, 18652, 815, 1422, 18652, 318, 271, 1341, 1422, 10401, 315, 18652, 318, 272, 1341, 1422, 10401, 317, 273, 315, 18652, 318, 273, 1341, 1422, 24126, 2330, 609, 3355, 2175, 1269, 343, 263, 271, 6661, 288, 259, 543, 4399, 25346, 12757, 12917, 271, 6661, 271, 259, 563, 5575, 540, 782, 267, 649, 1689, 4632, 4399, 339, 879, 815, 1422, 18652, 512, 8961, 865, 602, 649, 1205, 6695, 18652, 317, 273, 1535, 5257, 266, 1422, 18652, 317, 273, 318, 271, 1535, 815, 28363, 10401, 13375, 3287, 317, 273, 1341, 1422, 2765, 3189, 15883, 7346, 10401, 26507, 317, 274, 1422, 2431, 1070, 2330, 1141, 1269, 343, 5257, 259, 18575, 2034, 12045, 936, 4399, 339, 879, 10608, 1284, 2322, 938, 3126, 4542, 585, 1269, 343, 259, 543, 4399, 18652, 259, 543, 1349, 2474, 538, 519, 1482, 1931, 540, 4399, 10401, 259, 281, 6695, 3847, 314, 1422, 18652, 318, 271, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 272, 1422, 10401, 1341, 1422, 10401, 317, 273, 22570, 18652, 318, 272, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 273, 264, 1341, 1422, 24126, 1422, 2431, 316, 1422, 10383, 1422, 3847, 15631, 288, 315, 6523, 29146, 879, 1341, 1422, 10401, 1535, 5257, 318, 272, 1341, 1422, 10401, 317, 273, 1535, 5257, 318, 273, 1341, 1422, 24126, 1422, 2431, 316, 1341, 1422, 18652, 318, 271, 317, 273, 1422, 3847, 314, 288, 315, 6523, 29146, 879, 1341, 1422, 10401, 1535, 318, 272, 1341, 1422, 10401, 317, 273, 1535, 318, 273, 1341, 1422, 24126, 1422, 2431, 316, 815, 28363, 10401, 1422, 3847, 314, 288, 317, 273, 315, 6523, 317, 273, 29146, 879, 1341, 476, 273, 315, 10401, 1535, 318, 272, 589, 315, 6523, 29146, 879, 1341, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 3847, 10490, 317, 274, 315, 6523, 317, 274, 29146, 879, 1341, 476, 274, 315, 10401, 1535, 318, 272, 589, 317, 273, 315, 6523, 317, 273, 29146, 879, 1422, 2431, 264, 1341, 1422, 24126, 1422, 2431, 316, 16465, 17961, 9387, 348, 1535, 5257, 318, 272, 1341, 1535, 318, 272, 1299, 815, 1422, 2765, 346, 273, 288, 315, 18652, 318, 272, 7346, 18652, 318, 271, 4153, 6523, 29146, 879, 910, 1422, 2765, 31505, 317, 273, 7346, 18652, 317, 273, 318, 271, 4153, 6523, 317, 273, 29146, 879, 910, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 31505, 317, 274, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 317, 274, 29146, 879, 8607, 1299, 815, 1422, 6523, 29146, 879, 13375, 24560, 2765, 346, 273, 288, 315, 18652, 318, 272, 7346, 18652, 318, 271, 32757, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 589, 317, 274, 2410, 275, 315, 18652, 318, 271, 317, 273, 4153, 2431, 316, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 348, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 476, 273, 29146, 879, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 31505, 317, 274, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 476, 274, 29146, 879, 267, 1422, 754, 9387, 348, 609, 1269, 343, 318, 272, 263, 271, 6661, 271, 259, 543, 1269, 343, 262, 318, 272, 263, 271, 6661, 271, 10608, 1403, 649, 1616, 547, 6146, 519, 22298, 2165, 630, 1492, 835, 609, 4399, 6523, 29146, 879, 259, 264, 649, 991, 547, 1305, 6695, 18652, 318, 272, 815, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 2410, 279, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 20467, 2330, 3973, 1269, 343, 318, 272, 7268, 339, 879, 7751, 31758, 547, 3230, 343, 318, 272, 7268, 339, 879, 264, 815, 1422, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 3847, 314, 10559, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 3847, 7268, 2765, 346, 272, 2410, 274, 348, 910, 1422, 2765, 346, 272, 2410, 1626, 4153, 2765, 3189, 15883, 7346, 10401, 348, 288, 9368, 9385, 6523, 29146, 879, 1341, 1422, 2765, 346, 272, 2410, 277, 4153, 6523, 476, 273, 29146, 879, 1341, 589, 21702, 346, 272, 2410, 1626, 4153, 2765, 3189, 15883, 7346, 10401, 4153, 6523, 476, 274, 29146, 879, 1422, 2431, 4940, 16465, 2330, 343, 318, 273, 5257, 1341, 1535, 318, 273, 815, 1422, 2765, 31505, 7346, 18652, 318, 271, 317, 273, 32710, 18652, 318, 272, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 273, 9385, 6523, 29146, 879, 910, 476, 273, 21702, 3189, 18652, 318, 272, 7346, 18652, 318, 271, 26507, 5257, 318, 272, 910, 1535, 318, 272, 21702, 346, 273, 288, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 29146, 879, 268, 1535, 318, 272, 21702, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 288, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 317, 273, 29146, 879, 267, 2330, 609, 1269, 343, 318, 273, 263, 271, 6661, 271, 259, 543, 1269, 343, 262, 318, 273, 263, 271, 6661, 271, 10608, 901, 568, 513, 1483, 3190, 799, 594, 993, 711, 2469, 547, 2022, 1934, 267, 855, 6695, 18652, 318, 273, 815, 1422, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 274, 4153, 3847, 24560, 2765, 31505, 2410, 275, 4153, 2765, 3189, 15883, 7346, 10401, 32757, 2765, 346, 274, 288, 317, 273, 2410, 5038, 4153, 3847, 7268, 2765, 3189, 15883, 7346, 10401, 4153, 2431, 8203, 273, 10559, 2765, 346, 274, 288, 317, 273, 2410, 5038, 32757, 2765, 346, 276, 2410, 1321, 4153, 2431, 316, 2330, 0, 266, 271, 692, 258, 6435, 692, 271, 454, 6942, 454, 272, 692, 19350, 568, 513, 6712, 540, 519, 3113, 540, 606, 538, 3200, 1043, 1599, 267, 8096, 344, 284, 325, 3287, 9385, 259, 1384, 2252, 8096, 325, 5416, 6661, 321, 15478, 543, 8096, 325, 6357, 6661, 275, 315, 8961, 1287, 1018, 568, 519, 1871, 540, 8096, 320, 1532, 15478, 2496, 19878, 476, 2190, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 23056, 271, 454, 266, 272, 692, 2252, 1109, 315, 263, 325, 6357, 6661, 275, 315, 1070, 1287, 713, 1797, 602, 972, 568, 513, 1808, 3403, 585, 713, 1599, 602, 17016, 476, 275, 269, 2201, 513, 3113, 267, 519, 1535, 268, 11161, 2099, 519, 11378, 540, 519, 1599, 543, 519, 586, 268, 11161, 2099, 519, 3977, 269, 769, 713, 2013, 267, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 799, 568, 10423, 1317, 540, 519, 2016, 3113, 780, 2252, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 1287, 1109, 315, 263, 321, 284, 273, 315, 1070, 865, 1109, 315, 263, 325, 5416, 6661, 273, 315, 1040, 4635, 519, 1482, 7744, 607, 1354, 267, 1109, 315, 263, 325, 263, 271, 6661, 273, 315, 1070, 865, 1109, 315, 263, 320, 284, 271, 315, 2020, 315, 263, 320, 1532, 284, 271, 268, 273, 15871, 273, 315, 2020, 563, 19878, 476, 2190, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 23056, 271, 454, 266, 272, 692, 2252, 1109, 315, 263, 325, 6357, 6661, 275, 315, 1070, 1287, 713, 1797, 602, 972, 568, 513, 1808, 3403, 585, 713, 1599, 602, 17016, 476, 275, 269, 2201, 513, 3113, 267, 519, 1535, 268, 11161, 2099, 519, 11378, 540, 519, 1599, 543, 519, 586, 268, 11161, 2099, 519, 3977, 269, 769, 713, 2013, 267, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 799, 568, 10423, 1317, 540, 519, 2016, 3113, 780, 2252, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 1287, 1109, 315, 263, 321, 284, 273, 315, 1070, 865, 1109, 315, 263, 325, 5416, 6661, 273, 315, 1040, 4635, 519, 1482, 7744, 607, 1354, 267, 1109, 315, 263, 325, 263, 271, 6661, 273, 315, 1070, 865, 1109, 315, 263, 320, 284, 271, 315, 2020, 315, 263, 320, 1532, 284, 271, 268, 273, 15871, 273, 315, 2020, 763, 311, 306, 32464, 15542, 528, 1109, 19878, 476, 2190, 267, 476, 1001, 279, 0, 1012, 589, 10670, 1676, 779, 6651, 609, 681, 3009, 692, 6624, 540, 596, 1522, 711, 723, 4862, 540, 32094, 3157, 1354, 543, 581, 11842, 875, 789, 1522, 581, 4143, 547, 596, 269, 17616, 267, 18802, 2103, 1522, 1265, 32094, 3157, 513, 8799, 1259, 540, 9781, 2625, 8494, 2065, 2621, 269, 3958, 267, 1346, 4277, 538, 15699, 1565, 949, 1265, 602, 713, 1344, 4396, 5809, 741, 1620, 540, 681, 299, 2035, 971, 607, 4460, 990, 932, 1622, 269, 14936, 267, 713, 2376, 568, 2110, 543, 2653, 3562, 17000, 267, 865, 952, 596, 2461, 8049, 827, 32094, 3157, 2933, 267, 1287, 713, 568, 513, 1434, 4367, 780, 12179, 3988, 540, 519, 1739, 5850, 1058, 917, 5119, 4238, 267, 971, 607, 8691, 267, 607, 1134, 607, 513, 2596, 1620, 540, 5276, 7223, 269, 1280, 519, 19160, 540, 1786, 6143, 267, 1082, 5276, 7223, 2035, 616, 711, 6045, 538, 713, 5850, 269, 901, 2376, 814, 681, 3009, 585, 1346, 945, 616, 5461, 267, 855, 621, 568, 711, 2556, 547, 1246, 519, 3009, 607, 596, 1224, 519, 2376, 780, 1012, 17943, 543, 9502, 692, 763, 1101, 2243, 1082, 540, 596, 949, 723, 568, 519, 3169, 2470, 540, 513, 32094, 1184, 269, 634, 2262, 2048, 560, 27181, 685, 12777, 1797, 2048, 12690, 8730, 1498, 32094, 3157, 616, 711, 8209, 4351, 281, 789, 666, 581, 7357, 15002, 2065, 267, 538, 1249, 269, 15439, 2322, 267, 513, 32094, 1184, 568, 1022, 6310, 1184, 602, 666, 581, 24018, 609, 513, 1920, 540, 4351, 4632, 269, 589, 11777, 19184, 568, 513, 1390, 1383, 1317, 540, 922, 16134, 269, 1284, 1376, 609, 513, 11777, 2212, 13522, 543, 1287, 16212, 621, 4010, 2899, 269, 634, 5506, 540, 519, 11777, 13941, 593, 9843, 568, 1547, 276, 267, 543, 21217, 568, 1547, 276, 269, 1403, 519, 11113, 3338, 593, 9843, 267, 519, 2048, 8063, 685, 540, 519, 1158, 568, 24240, 267, 1247, 952, 519, 11777, 3338, 593, 21217, 267, 519, 2048, 8063, 685, 814, 4957, 269, 901, 666, 581, 24018, 609, 519, 5119, 2630, 1384, 7775, 267, 513, 811, 3308, 1935, 1384, 763, 9343, 2099, 2829, 267, 609, 17831, 540, 28006, 547, 824, 2829, 538, 616, 538, 519, 9587, 269, 1403, 596, 2461, 538, 1533, 476, 271, 630, 21650, 264, 543, 596, 16212, 519, 11777, 267, 707, 8458, 540, 10678, 909, 538, 1533, 21217, 630, 8063, 476, 272, 264, 666, 581, 2938, 538, 519, 630, 271, 267, 476, 272, 264, 7127, 538, 519, 5119, 1657, 30285, 276, 6393, 2026, 1776, 1383, 267, 15475, 596, 723, 476, 273, 23252, 538, 513, 5399, 269, 1879, 1312, 23252, 616, 2324, 267, 972, 568, 513, 476, 1789, 2600, 4960, 602, 835, 9397, 1169, 1554, 267, 543, 513, 476, 271, 2600, 4960, 602, 789, 1312, 2736, 269, 1403, 835, 17002, 568, 7745, 267, 1287, 972, 568, 513, 476, 736, 2600, 4960, 602, 513, 7816, 2006, 2501, 676, 593, 602, 1554, 543, 4368, 525, 621, 267, 543, 513, 476, 2412, 2600, 4960, 602, 519, 2034, 17002, 9397, 269, 1879, 1312, 616, 7745, 267, 1287, 972, 568, 513, 476, 1911, 2600, 4960, 602, 513, 7816, 2006, 2501, 676, 543, 4368, 525, 1312, 23252, 269, 634, 5119, 8204, 713, 1184, 568, 3254, 2630, 1384, 30860, 602, 630, 271, 267, 476, 271, 264, 815, 1547, 278, 2094, 630, 271, 267, 476, 272, 264, 815, 1547, 274, 543, 630, 271, 267, 476, 273, 264, 815, 476, 271, 269, 3962, 4737, 1590, 1039, 909, 547, 476, 272, 1317, 789, 2461, 20651, 676, 15768, 5506, 14778, 269, 634, 1482, 6585, 3020, 585, 7127, 630, 272, 267, 476, 272, 1040, 18564, 602, 519, 3803, 4737, 15002, 12264, 4422, 689, 1533, 476, 273, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 982, 1896, 8536, 264, 540, 16712, 7642, 945, 1118, 741, 2132, 630, 5052, 16852, 9366, 264, 547, 519, 18179, 16784, 269, 1280, 519, 10156, 2165, 267, 519, 688, 1042, 328, 7642, 6720, 553, 1125, 602, 267, 7064, 547, 519, 18711, 16018, 789, 1852, 538, 519, 918, 1145, 564, 7175, 873, 547, 1118, 610, 2736, 2229, 5755, 1431, 267, 789, 949, 936, 3873, 592, 9086, 543, 1118, 5840, 834, 297, 28779, 257, 1586, 269, 2859, 1419, 982, 711, 267, 2705, 267, 789, 9765, 519, 7182, 540, 741, 804, 719, 543, 1265, 2933, 6450, 4428, 539, 267, 607, 950, 18303, 6305, 14012, 962, 6308, 327, 752, 1744, 600, 597, 536, 1779, 539, 693, 519, 19175, 540, 2348, 547, 1780, 519, 834, 15367, 568, 513, 4035, 257, 3915, 269, 13298, 982, 2196, 519, 1981, 540, 1651, 584, 2590, 519, 32716, 540, 1977, 4035, 787, 267, 1744, 600, 597, 13264, 1055, 16395, 609, 519, 3397, 644, 520, 962, 529, 5361, 543, 3964, 513, 3084, 9322, 22687, 538, 5412, 476, 2735, 279, 269, 634, 834, 2889, 915, 338, 257, 540, 18179, 2797, 1852, 2348, 9863, 547, 581, 16403, 20143, 282, 519, 2620, 268, 549, 6838, 4250, 2899, 1586, 759, 584, 325, 3166, 269, 589, 688, 1042, 328, 11356, 21107, 1242, 912, 5278, 540, 721, 22157, 547, 7340, 602, 649, 616, 538, 1401, 850, 543, 5910, 2105, 602, 649, 949, 1831, 4622, 16234, 538, 713, 16712, 626, 865, 10777, 10806, 269, 1284, 2864, 723, 547, 581, 12922, 540, 519, 32134, 540, 606, 4550, 268, 7775, 628, 13454, 13618, 269, 1403, 649, 798, 711, 2673, 16034, 543, 4339, 1394, 267, 1884, 790, 31437, 4031, 786, 267, 2696, 17246, 573, 267, 581, 21892, 267, 543, 519, 4567, 28943, 1496, 514, 3909, 6927, 316, 786, 14897, 269, 1284, 786, 581, 16207, 883, 513, 556, 1173, 340, 731, 6370, 585, 938, 1360, 6668, 607, 688, 1042, 328, 7642, 538, 834, 516, 31437, 13190, 2437, 561, 652, 938, 1378, 3872, 1062, 267, 938, 10723, 9811, 327, 643, 553, 267, 949, 711, 581, 4761, 689, 519, 32356, 540, 519, 7060, 6253, 520, 15515, 563, 1607, 4999, 540, 2530, 540, 30566, 344, 543, 2527, 1219, 1254, 2099, 267, 538, 7826, 1612, 28917, 267, 834, 1492, 10782, 8594, 547, 519, 5939, 2094, 13162, 1701, 5246, 29989, 700, 1030, 20623, 341, 516, 29805, 621, 513, 31685, 811, 25254, 982, 519, 20655, 540, 23597, 896, 519, 3943, 7169, 781, 1381, 540, 2601, 269, 670, 1563, 328, 14558, 529, 971, 607, 519, 670, 7571, 1772, 327, 630, 323, 269, 476, 4198, 274, 264, 543, 661, 269, 631, 269, 5576, 778, 630, 323, 269, 476, 1220, 272, 264, 2808, 621, 519, 10782, 1608, 600, 640, 538, 1079, 27453, 540, 1272, 538, 24815, 269, 6129, 14269, 543, 26757, 262, 924, 12356, 1294, 621, 607, 26922, 547, 519, 1102, 573, 1564, 540, 2725, 17433, 9991, 2390, 17124, 781, 6263, 3984, 267, 543, 538, 519, 26757, 262, 924, 2013, 267, 607, 24188, 540, 519, 1958, 1844, 2211, 540, 1955, 600, 26036, 572, 514, 543, 1010, 1906, 13794, 676, 519, 772, 16673, 344, 611, 7952, 267, 10678, 538, 519, 25337, 32003, 540, 519, 3735, 18749, 2540, 269, 5246, 29989, 700, 1030, 20623, 341, 516, 3379, 1010, 6263, 26600, 630, 704, 4257, 29235, 547, 835, 4627, 8536, 5001, 264, 609, 519, 5722, 8536, 20785, 540, 519, 21024, 18379, 26400, 538, 1010, 4339, 1996, 519, 28556, 540, 519, 13391, 531, 269, 1548, 2306, 519, 8594, 782, 519, 1178, 591, 568, 922, 561, 675, 543, 1202, 573, 1190, 1145, 269, 634, 4244, 267, 16712, 1259, 540, 1272, 6157, 568, 782, 1005, 269, 898, 22587, 547, 519, 26756, 267, 9621, 8216, 11815, 2305, 267, 1732, 1570, 2175, 267, 543, 519, 1995, 540, 834, 3405, 11538, 835, 781, 1378, 2053, 257, 538, 2474, 540, 3621, 543, 6639, 9740, 269, 1215, 2653, 621, 568, 267, 543, 875, 1455, 267, 547, 581, 29279, 547, 621, 269, 16241, 2245, 568, 2693, 547, 581, 8774, 1769, 27329, 569, 267, 1419, 7938, 9231, 569, 269, 28673, 13151, 29304, 547, 513, 16990, 1102, 520, 6672, 543, 10523, 513, 4990, 540, 6653, 2669, 267, 513, 1928, 1652, 552, 30984, 267, 952, 596, 786, 563, 3412, 1137, 540, 8213, 543, 1102, 520, 6672, 7693, 909, 538, 947, 14688, 538, 519, 4909, 626, 5868, 269, 26637, 21960, 333, 29231, 5206, 540, 519, 834, 817, 574, 7976, 812, 807, 257, 630, 10112, 574, 7976, 2471, 1276, 339, 264, 689, 799, 8284, 7642, 267, 2523, 519, 24084, 2989, 4111, 757, 807, 630, 332, 2532, 559, 574, 1070, 834, 28205, 6014, 30280, 2437, 11124, 269, 634, 22504, 808, 531, 531, 1325, 3887, 13259, 24703, 630, 323, 269, 476, 3422, 280, 264, 22579, 519, 2165, 4639, 17907, 807, 267, 610, 2864, 267, 4639, 2135, 1709, 630, 724, 16808, 345, 611, 698, 328, 1070, 547, 2491, 519, 32252, 3512, 540, 7214, 31794, 630, 4900, 534, 1922, 16725, 264, 6537, 547, 2413, 2528, 269, 634, 5375, 1242, 630, 325, 15546, 10202, 2173, 320, 262, 629, 264, 616, 538, 1249, 4639, 19899, 520, 18050, 630, 1492, 12428, 6697, 267, 538, 6129, 14269, 1612, 28917, 267, 568, 1590, 27895, 1026, 684, 1040, 634, 16712, 1235, 1185, 15468, 10352, 547, 513, 3514, 540, 1202, 534, 640, 267, 1767, 22189, 2349, 21123, 731, 267, 1247, 824, 17557, 15393, 6193, 1235, 4857, 519, 4638, 31117, 25793, 14414, 676, 7989, 1170, 4369, 607, 519, 1034, 1303, 6005, 25246, 540, 519, 16712, 13463, 28282, 545, 1259, 540, 1272, 269, 3057, 4897, 700, 1030, 20623, 341, 516, 1031, 519, 14165, 540, 15978, 12845, 1202, 573, 1190, 4731, 8014, 26438, 998, 7989, 1170, 633, 2623, 23829, 606, 19038, 6609, 540, 519, 6794, 3413, 997, 1154, 1312, 2486, 543, 519, 2022, 935, 4290, 3511, 5939, 281, 513, 6794, 540, 5418, 553, 9092, 1582, 1673, 652, 2315, 563, 2750, 1356, 696, 539, 689, 31031, 32670, 23781, 24702, 676, 28792, 589, 269, 1325, 12107, 681, 269, 8845, 11197, 2421, 2506, 28609, 590, 23186, 14645, 9736, 476, 1220, 274, 676, 634, 2160, 540, 9628, 4964, 269, 1401, 1356, 696, 539, 676, 10479, 563, 5472, 2924, 11603, 269, 3143, 851, 540, 713, 21626, 949, 581, 25735, 610, 1065, 11781, 539, 1510, 10479, 538, 1603, 689, 519, 17404, 563, 2750, 1356, 14186, 616, 3177, 676, 12480, 5025, 5174, 809, 5549, 269, 9003, 585, 519, 2123, 946, 540, 8436, 547, 713, 1357, 3135, 563, 8368, 540, 12937, 454, 763, 2037, 743, 1511, 9177, 454, 293, 1495, 4442, 1143, 281, 2637, 639, 543, 15661, 454, 1805, 4450, 267, 26554, 543, 14893, 454, 310, 6135, 1782, 609, 519, 2622, 912, 293, 1495, 4442, 626, 28073, 607, 9622, 7217, 7010, 454, 14818, 532, 519, 7844, 912, 303, 29176, 267, 23532, 640, 267, 543, 27284, 626, 11150, 454, 763, 18370, 11072, 540, 27284, 1143, 454, 7343, 21043, 547, 3848, 476, 273, 454, 7343, 21043, 547, 3848, 476, 274, 454, 7343, 21043, 547, 3848, 476, 275, 0, 15371, 596, 2811, 3843, 547, 6336, 2597, 610, 1175, 3206, 827, 707, 2949, 1072, 267, 4006, 568, 513, 5458, 1981, 3815, 538, 519, 2413, 2732, 269, 1280, 1082, 1004, 267, 4006, 4667, 834, 338, 12522, 257, 1317, 621, 781, 865, 1459, 538, 741, 1169, 1554, 1272, 269, 898, 781, 538, 707, 29877, 4234, 974, 267, 707, 14614, 267, 543, 707, 7484, 322, 820, 269, 4676, 1441, 4006, 568, 849, 3773, 547, 9118, 1426, 2472, 1282, 4393, 267, 689, 11337, 577, 1575, 547, 18437, 14036, 547, 3694, 547, 19997, 19703, 269, 2052, 519, 6653, 8631, 2731, 581, 513, 9651, 547, 707, 1072, 888, 2080, 781, 519, 2182, 5168, 281, 4006, 5540, 707, 10307, 267, 1818, 621, 2182, 547, 6336, 2597, 282, 707, 4522, 267, 4929, 19659, 282, 543, 707, 6797, 267, 707, 1560, 781, 2101, 19288, 1062, 269, 589, 1164, 1606, 13610, 2732, 1256, 6971, 519, 2298, 540, 519, 20018, 538, 707, 2960, 267, 1818, 596, 1413, 4587, 269, 17491, 666, 2014, 7378, 4187, 267, 513, 19480, 6149, 547, 7392, 4083, 3987, 269, 1656, 547, 1118, 621, 1256, 811, 2352, 547, 585, 2998, 519, 26265, 267, 4006, 666, 581, 22925, 585, 1082, 1004, 267, 4929, 513, 5305, 540, 22006, 538, 519, 834, 516, 1189, 8998, 257, 540, 519, 2634, 269, 634, 5377, 1899, 568, 602, 3773, 14836, 2270, 513, 2898, 19619, 540, 8477, 543, 1100, 1898, 5567, 563, 10673, 1405, 979, 4411, 2389, 584, 4486, 454, 10214, 952, 596, 18418, 2299, 1616, 547, 21199, 519, 4006, 17079, 267, 596, 1522, 1616, 547, 1491, 513, 811, 16795, 1935, 269, 2806, 4533, 569, 2469, 4006, 6954, 666, 2014, 7920, 15639, 2589, 281, 14331, 267, 4160, 267, 543, 7099, 23638, 563, 18933, 3558, 547, 2067, 267, 796, 15263, 539, 6653, 22211, 454, 2080, 616, 513, 1906, 8902, 8925, 547, 15568, 4006, 865, 596, 1810, 1406, 723, 547, 4625, 10205, 707, 6653, 5694, 912, 8448, 26265, 596, 666, 3548, 454, 6624, 1426, 2472, 723, 14836, 602, 2049, 6923, 267, 971, 607, 535, 28229, 538, 4829, 543, 26178, 538, 5144, 2472, 269, 5221, 519, 4006, 538, 4829, 568, 7059, 609, 6775, 543, 824, 5567, 267, 621, 3085, 1405, 723, 519, 0, 347, 20082, 10573, 25748, 267, 4872, 2066, 519, 1158, 8045, 5682, 23566, 4248, 24486, 630, 294, 10485, 1070, 513, 4640, 602, 3096, 10664, 547, 4383, 7088, 4248, 269, 2755, 2963, 5267, 602, 717, 10485, 2488, 8733, 2640, 547, 519, 4683, 1604, 267, 649, 917, 2370, 827, 875, 717, 10485, 5222, 1480, 1072, 543, 1134, 5630, 269, 1284, 917, 602, 4683, 2470, 267, 971, 607, 4054, 543, 11614, 267, 2488, 1082, 1480, 1072, 2640, 543, 568, 3810, 9053, 269, 717, 10485, 267, 2705, 267, 9775, 538, 5546, 267, 7306, 267, 543, 6272, 547, 1489, 922, 2189, 7088, 4248, 3252, 269, 4706, 23079, 7494, 8428, 689, 519, 6671, 4683, 5251, 609, 544, 15735, 1876, 985, 543, 9921, 4054, 269, 14348, 891, 1114, 3029, 540, 4683, 2470, 2488, 519, 1482, 1072, 2640, 609, 4054, 4805, 286, 2334, 568, 267, 547, 1018, 6708, 798, 1004, 4782, 717, 10485, 607, 513, 851, 540, 4683, 5251, 11652, 538, 10137, 267, 2744, 1072, 2640, 950, 789, 2170, 609, 717, 10485, 286, 901, 3668, 540, 1702, 11151, 9858, 543, 24990, 689, 8888, 717, 10485, 602, 1004, 4782, 267, 799, 1522, 2569, 519, 7145, 540, 4683, 2470, 269, 5015, 267, 1004, 616, 1447, 2693, 547, 3398, 543, 3565, 585, 519, 8916, 789, 798, 711, 4782, 267, 799, 1522, 1860, 519, 2773, 540, 717, 10485, 3294, 563, 2414, 2232, 713, 1382, 7934, 267, 594, 5342, 2185, 12170, 2090, 16046, 717, 10485, 543, 1480, 13283, 543, 1134, 5630, 269, 3689, 267, 594, 8947, 875, 1004, 9228, 543, 9053, 1114, 1826, 540, 717, 10485, 1210, 8666, 6709, 3878, 32666, 543, 3815, 2079, 269, 3973, 267, 594, 8947, 875, 1004, 9053, 717, 10485, 8916, 609, 1114, 10664, 5860, 2157, 676, 7421, 1614, 8666, 6709, 3878, 32666, 543, 645, 992, 526, 690, 779, 5682, 12039, 267, 513, 5063, 2919, 1907, 602, 14439, 10664, 5860, 3842, 3684, 1565, 543, 3239, 4393, 269, 12059, 267, 594, 11567, 519, 3347, 1063, 717, 10485, 5860, 543, 1079, 28400, 14428, 903, 8344, 3800, 281, 2566, 543, 3007, 269, 7053, 267, 594, 8947, 875, 824, 4683, 8658, 267, 971, 607, 9228, 3190, 1465, 267, 9228, 2157, 540, 4683, 7835, 267, 543, 9228, 3106, 3310, 717, 10485, 13283, 267, 543, 2436, 891, 8658, 1199, 5573, 519, 2078, 1063, 10664, 5860, 543, 13283, 563, 296, 1336, 602, 1114, 2010, 540, 717, 10485, 616, 9053, 8335, 267, 543, 3190, 1465, 5129, 513, 1909, 538, 6915, 3146, 339, 1549, 13283, 269, 2859, 10664, 5860, 10567, 2362, 13283, 267, 855, 606, 2333, 538, 10664, 5860, 729, 2404, 609, 811, 10565, 2242, 538, 13283, 950, 519, 10664, 5860, 1377, 729, 1970, 269, 594, 1705, 711, 1265, 513, 1713, 2078, 1063, 717, 10485, 267, 2566, 267, 543, 3007, 4390, 269, 7053, 267, 594, 1336, 602, 9228, 2157, 540, 4683, 7835, 543, 9228, 3106, 10567, 717, 10485, 13283, 267, 855, 1705, 711, 1199, 5573, 519, 2078, 1063, 717, 10485, 10664, 5860, 543, 13283, 563, 5804, 938, 2164, 267, 594, 6700, 602, 9858, 1058, 711, 581, 27209, 689, 7311, 717, 10485, 538, 519, 4683, 1604, 267, 2523, 1472, 519, 2127, 609, 1970, 10664, 5860, 269, 5071, 619, 543, 24990, 1058, 11168, 16517, 1145, 543, 10291, 540, 1416, 538, 717, 10485, 6272, 269, 1358, 1058, 1265, 513, 1259, 547, 7413, 9228, 4683, 5251, 267, 602, 568, 281, 1118, 519, 5251, 2408, 811, 2067, 267, 543, 2333, 9228, 3106, 538, 717, 10485, 6388, 267, 1851, 824, 8916, 269, 901, 1382, 568, 1271, 1317, 621, 568, 835, 540, 519, 1101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 705, 903, 7356, 269, 589, 1804, 2179, 540, 519, 5068, 11149, 3812, 666, 1406, 1256, 581, 13381, 538, 519, 1101, 1747, 269, 901, 568, 7361, 1317, 912, 268, 1358, 616, 1500, 689, 6404, 2326, 454, 268, 11120, 1988, 2877, 547, 22120, 519, 2472, 798, 711, 2291, 454, 2108, 314, 1862, 316, 9657, 6703, 2066, 519, 2197, 616, 711, 2111, 547, 4990, 267, 6133, 267, 543, 1065, 549, 947, 1454, 540, 519, 5068, 602, 3549, 3132, 3034, 268, 3807, 513, 570, 4176, 26271, 540, 3013, 779, 21311, 2052, 24511, 2142, 1234, 7094, 539, 267, 23171, 11740, 454, 309, 597, 6265, 6151, 2326, 616, 10464, 269, 1234, 8010, 532, 873, 3842, 9657, 1419, 3790, 811, 982, 1210, 1007, 269, 1306, 513, 1267, 267, 621, 779, 2352, 585, 519, 11183, 2872, 547, 17854, 1210, 17071, 13381, 2326, 936, 14949, 1007, 2326, 563, 4467, 14006, 762, 13268, 1645, 11087, 806, 17904, 454, 1692, 798, 649, 4194, 713, 5068, 1966, 286, 1635, 7446, 11003, 762, 2336, 12024, 519, 4783, 540, 1272, 543, 17883, 538, 2470, 267, 24600, 568, 1439, 8393, 9764, 269, 3281, 739, 762, 11183, 568, 835, 540, 519, 1034, 10357, 7888, 3435, 649, 723, 538, 519, 4339, 1996, 5068, 2336, 763, 2949, 1764, 540, 707, 3903, 547, 946, 11003, 762, 11183, 568, 2312, 269, 898, 568, 865, 1454, 811, 982, 3653, 5786, 4805, 269, 3281, 739, 762, 11183, 6971, 3653, 267, 7028, 11003, 619, 267, 10607, 3037, 1072, 267, 543, 568, 606, 7533, 851, 540, 513, 9764, 4346, 269, 0, 763, 1585, 3157, 1031, 585, 16312, 4288, 267, 519, 5137, 540, 3615, 540, 513, 3444, 22891, 2470, 267, 538, 4496, 11529, 267, 971, 607, 1463, 16312, 4288, 267, 9940, 16312, 4288, 267, 8652, 18878, 16312, 4288, 267, 3905, 16312, 4288, 267, 3636, 16312, 4288, 267, 4411, 16312, 4288, 267, 543, 1866, 563, 4134, 10293, 543, 8851, 6388, 454, 4134, 10293, 543, 8851, 5773, 454, 4134, 10293, 543, 8851, 3800, 454, 4134, 10293, 543, 8851, 4238, 0, 2467, 568, 1100, 835, 17046, 1259, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 1717, 267, 513, 1906, 1455, 2081, 547, 1129, 713, 1523, 1331, 1210, 519, 4191, 968, 22022, 2223, 968, 332, 528, 940, 2223, 543, 968, 25988, 1848, 769, 2489, 267, 596, 1131, 946, 627, 31295, 1129, 7959, 1034, 2067, 538, 519, 2796, 540, 707, 6643, 563, 1692, 1677, 6178, 16505, 9724, 769, 1306, 331, 454, 2467, 568, 1100, 835, 17046, 1259, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 1717, 267, 930, 1455, 2409, 1331, 1210, 513, 4999, 540, 519, 4191, 585, 968, 25988, 2223, 968, 22596, 2223, 543, 968, 22022, 1848, 6271, 1935, 1522, 4125, 19142, 519, 2262, 968, 19874, 9724, 892, 3294, 267, 610, 1210, 513, 23972, 547, 5815, 602, 2576, 568, 4189, 563, 10964, 578, 910, 320, 4062, 540, 1957, 910, 5658, 518, 610, 15513, 454, 268, 8571, 513, 4605, 540, 513, 12826, 540, 23611, 454, 268, 17292, 909, 513, 4050, 543, 1957, 454, 268, 3503, 968, 19874, 9724, 892, 693, 519, 1283, 540, 519, 2985, 454, 268, 7201, 17231, 519, 23611, 267, 2328, 968, 332, 20488, 892, 2721, 454, 268, 1692, 547, 1129, 14254, 538, 6789, 299, 286, 1703, 568, 711, 835, 17046, 1259, 547, 1129, 14254, 538, 6789, 299, 269, 1717, 267, 930, 1455, 2081, 547, 1129, 621, 1331, 1210, 519, 4191, 585, 968, 25988, 2223, 968, 22596, 2223, 968, 19874, 9724, 2223, 610, 968, 22022, 6640, 1848, 1411, 666, 849, 1129, 968, 19874, 9724, 892, 676, 9256, 519, 4191, 585, 968, 324, 520, 892, 543, 968, 332, 528, 940, 3034, 21761, 18542, 5999, 454, 1692, 1684, 1411, 6178, 700, 4875, 888, 1103, 1977, 6178, 5678, 630, 3008, 299, 1070, 596, 1131, 1129, 968, 299, 7419, 6224, 892, 676, 1818, 606, 700, 6879, 1901, 609, 707, 2451, 1688, 543, 1287, 26378, 707, 1318, 1688, 593, 707, 2451, 13869, 563, 1692, 1684, 1411, 6178, 20550, 1676, 769, 1306, 331, 888, 763, 6789, 299, 1129, 585, 12129, 568, 513, 4999, 540, 519, 4191, 585, 968, 324, 520, 892, 543, 968, 22596, 1848, 634, 1129, 518, 2306, 606, 4189, 5163, 543, 1287, 6770, 741, 3946, 1927, 607, 952, 547, 2161, 968, 323, 821, 3034, 1432, 24912, 634, 6178, 1280, 16505, 9724, 888, 763, 1129, 585, 14254, 568, 547, 3180, 707, 3946, 856, 538, 4395, 540, 596, 609, 707, 27374, 909, 543, 1118, 513, 5858, 609, 707, 4994, 11263, 543, 555, 29304, 563, 2467, 616, 513, 1906, 1114, 2081, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 2290, 1259, 568, 547, 946, 519, 1129, 585, 968, 332, 528, 940, 892, 543, 1287, 1039, 519, 1129, 585, 968, 25988, 1848, 6271, 1259, 568, 547, 946, 519, 1129, 585, 968, 22596, 892, 543, 1287, 1039, 519, 1129, 585, 968, 332, 528, 940, 1848, 0, 268, 570, 1090, 14208, 454, 763, 4583, 2616, 2218, 538, 3047, 779, 10739, 729, 9505, 1524, 593, 4873, 476, 1724, 543, 4682, 14980, 585, 811, 982, 513, 3923, 267, 6028, 8331, 8030, 26545, 17331, 547, 3313, 1018, 12357, 5470, 3361, 519, 1966, 269, 1547, 4014, 519, 2475, 2230, 8116, 814, 865, 2484, 711, 9307, 519, 3169, 2014, 540, 519, 1966, 267, 789, 7307, 547, 3142, 26931, 1394, 676, 1437, 908, 930, 540, 922, 19307, 8800, 593, 13628, 563, 892, 594, 729, 3833, 14126, 267, 9232, 513, 8331, 10324, 3957, 7338, 2098, 7875, 1075, 1156, 5143, 715, 4506, 320, 570, 1638, 267, 945, 3366, 519, 26931, 1646, 2319, 538, 519, 3406, 585, 519, 2014, 540, 519, 1966, 269, 9232, 1284, 782, 917, 713, 568, 1981, 1512, 982, 1018, 649, 2356, 798, 1547, 7536, 29878, 1076, 7444, 1964, 14975, 922, 2257, 31627, 936, 519, 15964, 543, 5342, 513, 2407, 1062, 2638, 547, 1118, 2386, 3388, 729, 1869, 2324, 269, 3973, 267, 621, 3533, 3576, 922, 1101, 5961, 1310, 513, 1279, 2736, 563, 301, 4506, 320, 570, 1638, 267, 6205, 540, 519, 26931, 6611, 23571, 7816, 2319, 454, 3528, 14349, 267, 519, 16263, 1185, 11329, 922, 7828, 4724, 930, 2864, 8966, 15270, 269, 2290, 540, 519, 1007, 2592, 621, 3576, 2982, 513, 6292, 540, 15270, 7444, 2458, 4575, 883, 1142, 824, 269, 6271, 3239, 2982, 513, 18700, 14925, 609, 2864, 1279, 968, 15767, 6100, 4107, 18700, 15270, 723, 606, 1256, 1297, 540, 968, 15767, 5608, 855, 713, 14925, 1152, 814, 476, 274, 968, 15767, 6100, 630, 303, 27348, 2630, 994, 29878, 1076, 849, 4767, 726, 6979, 5087, 543, 5045, 540, 18347, 267, 2059, 609, 1082, 29822, 14095, 20035, 725, 269, 8331, 814, 2943, 547, 2671, 1022, 6337, 1644, 547, 891, 2665, 563, 892, 594, 993, 4278, 2683, 547, 1294, 26931, 2132, 547, 11287, 519, 7122, 267, 2899, 1586, 13830, 2592, 602, 723, 27086, 543, 6273, 721, 585, 5756, 267, 9232, 8331, 8783, 9291, 20307, 1767, 538, 513, 2046, 5305, 269, 1547, 9232, 901, 568, 513, 4090, 547, 8661, 519, 1967, 540, 513, 1895, 540, 8030, 945, 723, 5963, 6131, 2933, 547, 519, 5692, 269, 8729, 547, 741, 3646, 267, 26931, 786, 3136, 547, 7500, 538, 922, 476, 3953, 526, 1032, 267, 543, 649, 786, 3136, 547, 798, 865, 269, 5170, 547, 1353, 519, 14759, 621, 32625, 968, 563, 7069, 3122, 1190, 17079, 3576, 513, 3923, 547, 4368, 454, 29878, 1076, 267, 519, 1158, 779, 1034, 3532, 2230, 16263, 267, 729, 9250, 883, 10739, 538, 476, 1960, 271, 269, 898, 814, 3144, 5961, 540, 519, 4332, 543, 2669, 540, 9118, 6801, 267, 4362, 1007, 15914, 24262, 269, 28835, 32624, 267, 543, 9477, 1079, 26300, 15362, 3615, 8429, 998, 741, 3859, 1949, 563, 763, 5961, 621, 3576, 723, 1044, 3850, 19936, 547, 5173, 519, 2085, 543, 7269, 540, 519, 7122, 267, 543, 723, 513, 1413, 693, 15270, 602, 4646, 16172, 1310, 519, 8262, 10854, 269, 4586, 3719, 519, 16263, 779, 2780, 1062, 10393, 11074, 2324, 593, 4873, 476, 1724, 269, 901, 2780, 1062, 19632, 538, 519, 476, 2735, 271, 338, 568, 6010, 2989, 547, 519, 2634, 540, 26931, 1107, 3743, 585, 9013, 543, 5464, 782, 519, 3621, 3937, 593, 519, 2616, 2218, 269, 8331, 8030, 723, 14578, 6836, 543, 8959, 547, 1964, 691, 621, 269, 769, 519, 1439, 267, 1310, 4881, 1082, 10368, 4255, 267, 789, 7691, 602, 519, 2780, 7012, 1406, 519, 2014, 540, 519, 1966, 1107, 930, 824, 8800, 3330, 26931, 729, 547, 16620, 585, 519, 16263, 779, 9505, 6658, 563, 763, 26931, 6611, 23571, 729, 9250, 883, 10739, 538, 476, 1960, 271, 454, 2026, 5018, 1657, 267, 649, 1869, 1810, 1406, 917, 585, 2386, 799, 8800, 568, 519, 2014, 269, 19296, 14353, 602, 519, 16263, 779, 1379, 1852, 1770, 630, 15425, 308, 264, 814, 15468, 883, 513, 1533, 540, 14543, 12522, 267, 4929, 519, 2780, 1062, 547, 9505, 1524, 269, 2334, 7193, 308, 4667, 547, 723, 3765, 20412, 730, 519, 6453, 2366, 547, 519, 2780, 267, 610, 5310, 519, 14543, 12522, 4183, 3294, 814, 513, 1966, 563, 22498, 729, 15069, 5423, 585, 2147, 2042, 269, 3962, 4062, 540, 8800, 593, 26931, 814, 513, 3710, 2987, 19307, 5299, 538, 519, 2680, 540, 513, 5821, 269, 1306, 513, 1267, 267, 8030, 6410, 782, 519, 8959, 3334, 547, 32118, 8800, 269, 1656, 1631, 267, 519, 26931, 16263, 568, 1394, 547, 922, 8912, 6296, 693, 476, 1911, 260, 2407, 4398, 563, 892, 594, 1745, 5393, 9599, 543, 17212, 1386, 267, 9232, 1767, 570, 1638, 1310, 11264, 519, 8800, 6467, 269, 9232, 1924, 10583, 547, 723, 1434, 3377, 547, 2671, 9232, 454, 7212, 8331, 814, 6378, 519, 5470, 267, 621, 568, 1869, 513, 1129, 602, 26931, 779, 2085, 814, 6603, 519, 1448, 1141, 621, 2115, 547, 581, 968, 4958, 1600, 6100, 901, 4837, 18387, 1406, 1044, 18175, 24612, 2094, 476, 1001, 280, 267, 543, 930, 540, 519, 8800, 3330, 621, 568, 849, 2507, 1478, 476, 1789, 1296, 2025, 563, 892, 901, 568, 606, 2025, 3684, 267, 543, 621, 779, 899, 621, 779, 10213, 721, 281, 1413, 267, 594, 6557, 3478, 513, 2370, 4587, 269, 9232, 1107, 2687, 547, 2098, 7875, 1075, 1156, 269, 9232, 1717, 267, 972, 568, 1869, 513, 2603, 540, 3621, 2534, 6619, 267, 543, 649, 616, 9599, 827, 602, 3034, 13126, 2433, 2637, 330, 0, 6097, 547, 717, 306, 298, 476, 1708, 271, 6820, 10266, 12039, 7797, 267, 835, 21017, 540, 519, 1158, 779, 2551, 1995, 1928, 1169, 1554, 269, 1403, 596, 723, 4017, 668, 9234, 22468, 267, 596, 949, 5469, 707, 7633, 543, 6091, 1376, 547, 10413, 811, 538, 519, 4411, 4365, 269, 1809, 1946, 1281, 602, 4755, 888, 8139, 875, 4411, 4365, 5540, 707, 1560, 568, 1883, 547, 5883, 707, 4017, 668, 9234, 22468, 2589, 269, 2913, 779, 1265, 856, 1018, 666, 2014, 27506, 13522, 538, 5162, 543, 1018, 12153, 547, 1413, 856, 585, 538, 4411, 4365, 563, 290, 1245, 5210, 666, 1118, 596, 811, 7925, 547, 8290, 543, 2014, 1896, 1072, 2042, 269, 1280, 1383, 267, 3819, 267, 4411, 2011, 666, 8886, 622, 707, 28296, 543, 24395, 622, 7929, 2175, 267, 971, 607, 10447, 563, 1103, 2489, 267, 950, 519, 4365, 568, 3983, 267, 649, 4043, 547, 6108, 811, 942, 16280, 543, 1847, 1447, 269, 901, 3668, 540, 2168, 2534, 666, 1860, 1312, 707, 7099, 543, 2949, 1072, 563, 763, 3668, 540, 7943, 602, 568, 1455, 1282, 21617, 3275, 666, 849, 1118, 596, 811, 13110, 269, 12192, 667, 10638, 568, 849, 5532, 547, 29083, 540, 4887, 543, 4745, 1928, 269, 4014, 649, 666, 1205, 930, 6171, 667, 689, 519, 2732, 267, 938, 1560, 2115, 7943, 547, 3132, 2614, 540, 621, 547, 1832, 519, 7633, 267, 10549, 267, 543, 6091, 2635, 269, 1924, 267, 952, 519, 3141, 3884, 1406, 26124, 267, 596, 949, 1745, 13888, 518, 982, 8912, 563, 7312, 2634, 949, 849, 711, 960, 607, 7561, 538, 4411, 4365, 269, 1879, 707, 1560, 2837, 12772, 2443, 1256, 676, 513, 7008, 540, 5232, 2443, 596, 949, 1995, 14887, 16846, 525, 267, 2790, 20893, 267, 543, 9854, 269, 1452, 666, 849, 581, 4191, 540, 7646, 3834, 1278, 8926, 267, 865, 2628, 2673, 3007, 547, 875, 596, 1745, 267, 2523, 950, 7836, 513, 1279, 942, 856, 538, 519, 4411, 563, 15703, 2188, 666, 1404, 513, 1909, 538, 1951, 1456, 707, 1648, 1282, 21617, 3275, 269, 8899, 4761, 1599, 267, 5230, 6980, 267, 25161, 6197, 267, 543, 9702, 2566, 267, 547, 2012, 513, 1906, 269, 1809, 519, 4365, 2242, 666, 849, 1118, 596, 1745, 811, 29723, 1173, 545, 563, 26422, 2775, 267, 585, 1383, 267, 568, 2629, 585, 15725, 707, 27266, 18819, 269, 769, 21617, 3275, 267, 950, 972, 779, 1447, 7943, 543, 2395, 616, 10156, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 519, 1455, 10167, 540, 519, 1614, 3515, 5627, 519, 31556, 269, 898, 568, 849, 519, 4099, 540, 519, 4931, 15132, 548, 267, 519, 5858, 602, 10596, 998, 782, 1614, 14622, 540, 519, 6906, 269, 901, 568, 2944, 1317, 267, 713, 1373, 606, 1073, 339, 2224, 6906, 267, 519, 15820, 786, 581, 3544, 519, 6906, 267, 1141, 621, 12969, 338, 519, 6905, 2427, 623, 304, 269, 5475, 602, 267, 649, 2721, 519, 13902, 689, 519, 6587, 14584, 547, 519, 1899, 269, 5590, 873, 3160, 543, 4194, 585, 1535, 281, 3767, 11690, 519, 1535, 1871, 883, 835, 540, 519, 15820, 12596, 543, 4194, 585, 586, 281, 4475, 267, 519, 31556, 3444, 693, 630, 1700, 279, 267, 1107, 277, 1040, 634, 1448, 1141, 519, 1079, 31556, 12969, 568, 519, 9647, 665, 10938, 540, 519, 6906, 269, 9502, 540, 834, 26625, 15659, 1899, 281, 634, 5885, 1899, 540, 513, 1978, 10126, 568, 519, 1899, 681, 17526, 269, 24110, 267, 5441, 811, 269, 6333, 513, 6906, 609, 4931, 22487, 543, 1298, 5514, 1547, 901, 2985, 2982, 875, 547, 4020, 630, 9526, 264, 519, 4931, 22487, 540, 513, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 269, 3767, 267, 689, 519, 1448, 267, 589, 543, 9386, 540, 519, 1899, 5084, 267, 2328, 519, 2269, 2507, 2913, 581, 519, 30268, 540, 1547, 1677, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 267, 972, 568, 1100, 1880, 4542, 855, 649, 723, 547, 1205, 519, 10974, 540, 519, 14622, 540, 519, 6906, 269, 1809, 609, 602, 856, 540, 519, 1259, 267, 649, 4312, 2186, 540, 6825, 909, 3388, 602, 649, 666, 8263, 267, 2016, 602, 713, 568, 606, 9647, 665, 10938, 543, 513, 4099, 734, 4352, 972, 616, 824, 1919, 267, 824, 3601, 540, 2523, 1298, 28281, 602, 649, 917, 269, 1215, 547, 13363, 2659, 2657, 689, 13044, 268, 866, 286, 25705, 267, 4144, 6782, 1023, 267, 27449, 543, 23155, 20514, 267, 1133, 643, 269, 634, 2180, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 538, 513, 6906, 269, 476, 274, 269, 769, 713, 3381, 594, 1397, 596, 875, 547, 798, 1175, 602, 269, 3973, 519, 12730, 2073, 616, 2147, 676, 2427, 268, 4120, 20933, 16726, 269, 634, 4931, 22487, 540, 513, 6906, 568, 519, 1448, 1141, 519, 13902, 20312, 26662, 540, 519, 5011, 12969, 269, 20472, 519, 9647, 665, 10938, 540, 6906, 670, 6195, 269, 20472, 519, 15820, 689, 519, 1073, 339, 2224, 14584, 1175, 607, 596, 7363, 1131, 798, 269, 1677, 2721, 519, 13902, 610, 519, 15820, 267, 946, 14584, 595, 607, 519, 4099, 543, 8953, 3160, 547, 519, 2427, 7460, 269, 898, 568, 519, 8086, 540, 519, 9647, 665, 10938, 540, 519, 6906, 827, 519, 4931, 22487, 269, 898, 568, 4092, 693, 519, 1448, 1141, 519, 6906, 781, 1614, 31556, 12969, 1572, 513, 1448, 540, 598, 2017, 6275, 1547, 634, 1866, 616, 519, 10996, 518, 267, 519, 4931, 22487, 543, 519, 1298, 5514, 269, 634, 1899, 10126, 2115, 547, 12969, 1448, 595, 543, 1106, 513, 1318, 5086, 630, 3445, 5232, 264, 609, 519, 834, 338, 1575, 15659, 1899, 257, 540, 519, 2427, 9474, 269, 476, 272, 269, 476, 276, 269, 275, 13106, 665, 10938, 3281, 817, 14716, 1315, 1073, 339, 2224, 6906, 1607, 568, 513, 22315, 4070, 540, 519, 1614, 31556, 540, 606, 17062, 1073, 339, 2224, 6906, 269, 3973, 267, 979, 547, 12164, 22552, 308, 6311, 593, 519, 1907, 8663, 543, 2824, 3131, 12993, 7412, 689, 519, 1592, 269, 630, 2791, 949, 991, 547, 8831, 519, 15820, 3515, 865, 789, 12969, 952, 519, 9647, 665, 10938, 568, 3544, 519, 6906, 264, 8838, 1308, 5153, 476, 1556, 269, 8571, 12969, 532, 9095, 338, 689, 645, 543, 667, 267, 693, 674, 269, 15012, 18435, 269, 15531, 621, 593, 513, 3113, 3340, 12719, 519, 19527, 540, 519, 6906, 5011, 269, 540, 16855, 297, 6185, 269, 5153, 476, 274, 281, 2422, 547, 4020, 519, 1899, 998, 595, 543, 13902, 547, 9474, 269, 1215, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 269, 10417, 7778, 269, 14597, 649, 723, 513, 6906, 13235, 543, 649, 991, 547, 1265, 519, 9647, 665, 10938, 540, 621, 269, 1215, 1677, 20472, 634, 13106, 665, 10938, 269, 3414, 645, 543, 10126, 8028, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 27449, 543, 23155, 267, 256, 2986, 623, 304, 305, 543, 519, 610, 6255, 665, 10938, 540, 13235, 2059, 602, 1899, 1572, 513, 1448, 540, 598, 2017, 6275, 602, 693, 256, 20472, 25586, 1899, 1063, 519, 1079, 9647, 665, 10938, 1315, 4931, 22487, 540, 713, 6906, 1318, 936, 1934, 22315, 4070, 1073, 339, 2224, 269, 2334, 12969, 693, 1448, 1627, 606, 10996, 518, 1210, 513, 22315, 543, 2786, 8354, 3769, 9647, 665, 10938, 568, 3544, 519, 6906, 568, 269, 5403, 875, 547, 4020, 9647, 665, 10938, 538, 713, 3381, 594, 1397, 596, 875, 547, 4020, 519, 1298, 5514, 543, 12398, 922, 9647, 665, 10938, 744, 269, 679, 1862, 815, 476, 277, 4699, 267, 7460, 815, 476, 275, 4699, 543, 8028, 14622, 540, 13235, 269, 590, 1938, 9474, 543, 8028, 815, 476, 276, 269, 276, 4699, 543, 12398, 922, 9647, 665, 10938, 744, 269, 774, 679, 535, 328, 519, 29755, 540, 6906, 13235, 519, 1614, 9112, 3515, 799, 568, 519, 2560, 267, 769, 24751, 1472, 875, 4020, 256, 21121, 827, 519, 4931, 22487, 543, 519, 1298, 5514, 9791, 24897, 540, 12280, 18438, 538, 8837, 476, 1015, 606, 15820, 513, 269, 476, 274, 281, 2422, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 13902, 610, 15820, 256, 25705, 267, 4144, 6782, 1023, 267, 27449, 543, 23155, 3515, 267, 12345, 267, 12415, 14742, 256, 21121, 1299, 513, 1842, 6902, 521, 1614, 31556, 798, 538, 1249, 12969, 693, 513, 1448, 1141, 519, 9647, 665, 10938, 1862, 7412, 596, 9112, 1657, 3568, 606, 15820, 540, 513, 6906, 568, 519, 10167, 540, 519, 1614, 3515, 519, 269, 2290, 1448, 540, 598, 2017, 6275, 568, 519, 1448, 1141, 782, 1614, 31556, 540, 519, 5858, 1249, 12969, 693, 1627, 269, 1280, 519, 2016, 6906, 2630, 267, 649, 666, 4020, 519, 10996, 518, 267, 519, 15820, 3515, 865, 789, 12969, 519, 1862, 12443, 326, 976, 267, 20472, 532, 513, 13902, 693, 513, 2582, 1448, 594, 4941, 547, 1397, 602, 666, 1862, 623, 336, 337, 1315, 13235, 543, 519, 1298, 5514, 267, 621, 568, 849, 519, 4099, 543, 8953, 3160, 547, 519, 6587, 9474, 1862, 16294, 543, 4020, 519, 9647, 665, 10938, 540, 519, 6906, 3738, 8838, 1308, 1900, 476, 1556, 4941, 547, 1397, 602, 596, 666, 4020, 1862, 901, 6906, 1318, 936, 1934, 513, 2582, 1448, 3738, 519, 9647, 665, 10938, 540, 513, 568, 1862, 595, 332, 267, 7460, 815, 476, 275, 4699, 543, 8028, 540, 513, 6906, 1315, 4931, 22487, 540, 6906, 256, 769, 22487, 568, 8449, 2484, 2476, 689, 519, 14584, 540, 519, 6906, 519, 12730, 267, 616, 2147, 2427, 268, 4120, 20933, 269, 19247, 543, 3732, 1966, 593, 875, 547, 4020, 519, 9647, 665, 10938, 8813, 593, 519, 16538, 540, 519, 6906, 8838, 1308, 1862, 1656, 568, 13902, 547, 1448, 645, 543, 623, 267, 2721, 9095, 338, 593, 519, 1907, 8663, 543, 2824, 13902, 689, 269, 8525, 2982, 875, 547, 1265, 18087, 689, 1912, 1294, 9647, 665, 10938, 540, 519, 3515, 1862, 634, 3791, 2427, 540, 519, 6906, 9095, 338, 602, 12969, 693, 1448, 1627, 585, 1073, 339, 2224, 12730, 519, 7460, 1862, 8672, 1627, 2985, 2982, 875, 547, 4020, 630, 2721, 3738, 519, 9647, 665, 10938, 1577, 1412, 338, 1628, 519, 9647, 665, 10938, 519, 1862, 476, 272, 281, 2422, 547, 1747, 513, 1448, 1141, 782, 1614, 31556, 798, 1249, 1862, 12280, 18438, 538, 8837, 476, 1015, 21437, 519, 9647, 665, 10938, 540, 513, 6906, 15234, 543, 5215, 540, 824, 2979, 1983, 538, 476, 1015, 256, 9737, 543, 543, 513, 28070, 4070, 3767, 267, 1577, 721, 1294, 875, 547, 5581, 4020, 269, 901, 519, 9647, 665, 10938, 575, 4944, 1287, 21437, 513, 1899, 799, 10596, 998, 513, 14584, 540, 519, 6906, 8838, 1308, 1862, 5153, 476, 273, 281, 2422, 547, 1747, 513, 1448, 593, 513, 3113, 3340, 12719, 519, 19527, 519, 269, 8838, 1308, 1900, 476, 1556, 1448, 1627, 789, 12969, 952, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 13902, 540, 256, 1772, 519, 4099, 540, 519, 4931, 15132, 548, 267, 519, 4931, 22487, 543, 519, 1298, 5514, 267, 621, 568, 849, 4099, 256, 7412, 689, 519, 14584, 540, 519, 6906, 1299, 513, 1842, 6902, 521, 1614, 5086, 20312, 26662, 12969, 693, 513, 2582, 907, 15234, 543, 5215, 540, 824, 2979, 1983, 543, 519, 1298, 5514, 8838, 1308, 1900, 476, 1556, 547, 12260, 782, 476, 276, 267, 4968, 7044, 267, 707, 1862, 3131, 12993, 20312, 26662, 540, 519, 6906, 11313, 521, 1614, 31556, 540, 519, 13235, 6906, 538, 1312, 8846, 1422, 3667, 29314, 1862, 2986, 1022, 6906, 267, 543, 562, 289, 4596, 519, 2560, 267, 769, 24751, 1472, 875, 674, 1460, 256, 634, 9647, 665, 10938, 540, 513, 6906, 543, 623, 267, 2721, 9095, 338, 593, 519, 3791, 2427, 875, 547, 4020, 9647, 665, 10938, 519, 4931, 15132, 548, 267, 519, 540, 269, 19449, 3380, 543, 12443, 326, 976, 267, 20472, 532, 513, 13902, 693, 513, 2582, 1448, 22315, 4070, 1315, 1073, 339, 2224, 23511, 634, 1614, 9112, 3515, 799, 568, 519, 9647, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 2985, 875, 1862, 1315, 4931, 22487, 540, 713, 6906, 1318, 936, 1934, 693, 519, 1448, 1141, 519, 543, 269, 1107, 5403, 12445, 1294, 519, 10167, 540, 476, 274, 610, 811, 3515, 267, 12345, 267, 12415, 14742, 269, 634, 9386, 540, 519, 6906, 11313, 521, 1614, 5011, 602, 21437, 519, 9647, 665, 10938, 568, 835, 269, 634, 15820, 3515, 865, 789, 12969, 952, 519, 9647, 665, 10938, 540, 1022, 6906, 267, 4945, 1934, 4020, 9647, 665, 10938, 540, 31556, 29755, 1318, 543, 1073, 339, 2224, 12730, 519, 1073, 339, 2224, 14584, 1175, 607, 596, 7363, 1131, 798, 9647, 665, 10938, 630, 13042, 607, 23511, 2986, 476, 274, 610, 811, 3515, 267, 12345, 267, 12415, 610, 14742, 2798, 1063, 519, 540, 269, 634, 4931, 15132, 548, 267, 519, 9647, 665, 10938, 568, 3544, 519, 6906, 1131, 798, 630, 1107, 273, 1107, 273, 1862, 1323, 5007, 1448, 519, 1298, 5514, 267, 621, 1797, 649, 1412, 516, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 13902, 689, 1862, 13106, 665, 10938, 22315, 4070, 1315, 1073, 339, 2224, 6906, 1412, 1467, 1412, 568, 522, 2507, 8382, 281, 2243, 1862, 2913, 721, 1294, 875, 547, 4020, 519, 9647, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 538, 6906, 269, 1323, 5007, 1448, 1412, 568, 522, 2507, 8382, 281, 476, 274, 2243, 513, 1107, 12445, 256, 5153, 476, 272, 281, 713, 2985, 2982, 875, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 9647, 665, 10938, 568, 4092, 606, 269, 11534, 5242, 5011, 9474, 543, 8028, 815, 476, 276, 269, 276, 4699, 543, 12398, 922, 9647, 665, 10938, 476, 4020, 519, 9647, 665, 10938, 8813, 593, 519, 2427, 1862, 16816, 6421, 798, 538, 1249, 12969, 693, 1448, 1627, 596, 666, 2141, 4020, 602, 267, 12345, 12415, 29755, 1294, 9647, 665, 10938, 540, 513, 5858, 799, 4931, 30533, 525, 519, 6906, 827, 519, 4931, 22487, 519, 256, 645, 543, 667, 267, 693, 674, 269, 15012, 18435, 1063, 543, 543, 4020, 922, 9647, 665, 10938, 744, 269, 679, 24222, 1577, 721, 1294, 875, 547, 4020, 519, 9647, 665, 10938, 568, 8449, 2484, 2476, 689, 519, 6906, 568, 29755, 6258, 811, 3767, 596, 666, 1294, 519, 10167, 540, 519, 6906, 519, 256, 8422, 3515, 5627, 519, 31556, 3381, 594, 1397, 596, 875, 547, 5581, 543, 519, 1862, 1656, 649, 991, 547, 8831, 519, 15820, 689, 519, 14584, 540, 519, 1614, 31556, 540, 519, 31556, 513, 1862, 3414, 645, 543, 10126, 25553, 6902, 1287, 1210, 1448, 595, 543, 10126, 8028, 267, 670, 540, 1862, 2986, 513, 6906, 2979, 1702, 609, 1863, 2055, 538, 476, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 22315, 256, 21540, 618, 689, 519, 6906, 543, 568, 13902, 547, 9474, 24110, 267, 5441, 13335, 267, 5808, 649, 616, 267, 6258, 23511, 1323, 10996, 518, 1210, 513, 22315, 543, 2786, 8354, 610, 14610, 547, 7460, 4171, 5011, 616, 9474, 476, 277, 24222, 5441, 13335, 267, 5808, 649, 616, 267, 6258, 811, 1448, 540, 598, 2017, 6275, 568, 519, 2560, 267, 1472, 1862, 1230, 13935, 606, 15820, 568, 513, 1899, 799, 10596, 998, 513, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 527, 1125, 11832, 1072, 543, 3106, 693, 1169, 3942, 269, 901, 2882, 2502, 538, 12001, 8989, 267, 9591, 12352, 609, 2199, 2950, 267, 10115, 538, 4264, 4066, 267, 543, 5807, 513, 2528, 540, 6024, 6454, 780, 6962, 1384, 1607, 1576, 1770, 814, 8268, 519, 1523, 540, 17163, 9882, 1369, 519, 2796, 540, 989, 6804, 6278, 8258, 2504, 269, 1284, 723, 8947, 1585, 10898, 2404, 609, 713, 2872, 543, 5941, 4052, 2994, 585, 10893, 11832, 4598, 269, 1306, 2518, 6990, 3136, 547, 11457, 267, 621, 3788, 2629, 585, 3906, 547, 1902, 538, 3102, 17163, 9882, 3292, 602, 2149, 1312, 519, 1072, 543, 8171, 540, 5520, 543, 519, 6940, 540, 741, 4213, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 770, 519, 3308, 19259, 267, 519, 960, 26206, 12349, 3384, 606, 989, 6804, 5872, 8258, 568, 513, 21981, 547, 519, 7029, 540, 4739, 8243, 839, 269, 1452, 4487, 29048, 267, 3335, 609, 5481, 540, 1995, 267, 2285, 4332, 547, 519, 5075, 540, 12808, 2648, 269, 634, 6111, 609, 799, 789, 3715, 1142, 4224, 267, 519, 5876, 538, 9380, 532, 1950, 1344, 267, 543, 519, 2126, 12842, 10678, 909, 18953, 782, 1039, 547, 519, 2504, 540, 513, 960, 540, 1148, 602, 4422, 3564, 942, 269, 634, 2511, 540, 606, 989, 6804, 9525, 8258, 568, 606, 1148, 6278, 8258, 2186, 538, 3294, 269, 3962, 26048, 267, 1169, 3693, 267, 543, 519, 6297, 1544, 540, 7725, 2911, 9424, 7282, 519, 11428, 543, 7029, 602, 519, 8258, 17158, 338, 269, 769, 519, 1158, 540, 989, 6804, 5898, 543, 609, 9227, 2648, 267, 519, 6240, 540, 606, 12808, 3398, 1327, 919, 922, 16315, 538, 519, 2186, 540, 513, 4241, 6221, 540, 10475, 14446, 1107, 519, 989, 6804, 5872, 8258, 269, 14958, 539, 609, 6297, 6111, 543, 606, 3573, 1620, 540, 519, 4075, 340, 13920, 3297, 12808, 18787, 267, 891, 14034, 1439, 909, 581, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30999, 1575, 1049, 30719, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11633, 2657, 1299, 8881, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7025, 1143, 543, 8278, 665, 761, 6291, 538, 476, 2641, 560, 31588, 1722, 4436, 9085, 692, 16215, 476, 276, 281, 634, 28249, 540, 11272, 30863, 543, 7025, 3117, 4109, 1145, 538, 12634, 4436, 9085, 692, 7072, 692, 1103, 938, 3105, 4559, 267, 649, 8268, 1585, 18125, 540, 2825, 1143, 543, 3235, 665, 761, 6291, 1369, 519, 2796, 540, 476, 2641, 560, 10601, 4436, 3332, 269, 769, 713, 1770, 267, 649, 4927, 5490, 4514, 883, 875, 891, 4798, 8915, 2933, 998, 519, 7828, 540, 6283, 4066, 267, 4481, 3167, 6472, 630, 14110, 338, 1040, 1284, 3513, 4983, 875, 4207, 4436, 4589, 6451, 12601, 338, 883, 741, 6386, 267, 7551, 5466, 4145, 827, 2916, 1689, 267, 6940, 267, 543, 10688, 269, 901, 1770, 786, 849, 2263, 519, 6626, 2686, 6286, 540, 971, 6639, 10124, 543, 2708, 2436, 789, 2099, 9758, 3356, 2509, 19086, 8103, 781, 1764, 593, 3047, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 11272, 30863, 543, 4256, 9622, 10885, 538, 15019, 9177, 692, 2414, 1174, 519, 4644, 540, 12601, 338, 538, 2413, 4436, 3332, 267, 835, 1590, 1101, 9787, 741, 3140, 1646, 269, 4014, 1419, 2404, 609, 2487, 7760, 538, 6007, 2029, 543, 7791, 1648, 2959, 267, 2038, 23200, 540, 3167, 26873, 4266, 1394, 547, 519, 3735, 476, 866, 628, 2540, 269, 1717, 267, 1813, 547, 1896, 2188, 910, 1519, 1164, 2504, 3790, 267, 13385, 5989, 267, 543, 3908, 2773, 7207, 3379, 547, 4835, 13674, 9817, 910, 12601, 338, 8959, 547, 2744, 7839, 10343, 2394, 519, 2490, 540, 519, 476, 2641, 560, 2540, 780, 1607, 32134, 666, 581, 11911, 14356, 547, 3395, 4656, 540, 27643, 2916, 1689, 543, 922, 21472, 4539, 269, 1306, 1857, 6161, 15841, 267, 6608, 5001, 3459, 7598, 4507, 6322, 693, 4227, 8511, 3154, 5434, 267, 27513, 2590, 1719, 538, 15777, 8925, 899, 3167, 6472, 269, 1452, 10593, 538, 6848, 2418, 543, 14422, 9788, 519, 24536, 585, 513, 811, 32615, 5304, 267, 22338, 519, 1259, 585, 513, 1007, 5951, 540, 5339, 1568, 10023, 12601, 338, 30326, 780, 4089, 476, 273, 281, 28628, 1436, 543, 4706, 21931, 20480, 692, 3080, 8037, 7678, 538, 4207, 4436, 3332, 3322, 10316, 1944, 2757, 8093, 4492, 14617, 6472, 609, 3167, 5397, 10177, 1231, 269, 1635, 9256, 2609, 689, 1312, 26336, 267, 891, 29528, 2709, 3988, 606, 4316, 547, 4497, 609, 3197, 21679, 609, 2152, 4478, 6940, 267, 5539, 267, 543, 3961, 5250, 269, 5047, 267, 713, 12760, 5713, 607, 513, 14165, 673, 8115, 1063, 2250, 543, 1459, 267, 3850, 5830, 547, 23827, 622, 519, 9371, 540, 22713, 1247, 8195, 19424, 532, 2009, 11444, 4464, 780, 288, 6305, 1383, 540, 713, 7613, 5526, 538, 808, 10154, 8210, 5155, 20198, 781, 3209, 2983, 1156, 267, 717, 16636, 267, 6008, 18255, 630, 7883, 267, 654, 550, 267, 5776, 1070, 1141, 519, 16502, 11479, 513, 10316, 6174, 607, 1352, 4044, 919, 1200, 7294, 2078, 609, 1686, 267, 3965, 267, 543, 2123, 7004, 269, 3414, 713, 5104, 868, 777, 3789, 267, 8210, 5155, 20198, 12651, 2055, 827, 519, 6708, 547, 799, 2043, 666, 31363, 741, 635, 13109, 538, 2825, 12159, 609, 17050, 585, 513, 22928, 2104, 780, 4089, 476, 274, 281, 16186, 17520, 543, 519, 16723, 570, 3326, 540, 17290, 22994, 1006, 692, 5194, 20443, 6249, 538, 476, 2641, 560, 10601, 4436, 3332, 5473, 12601, 338, 7740, 1472, 1018, 814, 2097, 547, 581, 1634, 607, 834, 9792, 4160, 9899, 519, 4250, 602, 513, 6174, 781, 6007, 786, 632, 10968, 1354, 8757, 922, 10278, 267, 6028, 519, 9920, 18843, 539, 269, 2755, 8441, 538, 6007, 2029, 3136, 547, 13468, 891, 4145, 267, 1082, 4207, 4589, 946, 713, 31536, 542, 607, 513, 1797, 540, 3695, 16650, 16839, 5185, 676, 741, 3197, 950, 21947, 609, 7687, 13684, 2390, 873, 676, 5007, 4229, 780, 1103, 23715, 560, 514, 2776, 12685, 340, 29967, 781, 3209, 715, 778, 2201, 330, 14900, 630, 2414, 2201, 330, 14900, 1070, 519, 1292, 1915, 2833, 2039, 4160, 1247, 10707, 2066, 18940, 538, 606, 3167, 4342, 704, 7079, 269, 10801, 1200, 3460, 267, 1352, 9356, 593, 519, 13113, 2470, 540, 2200, 543, 1480, 6228, 3294, 267, 5373, 19320, 1063, 519, 10148, 5116, 2390, 1200, 7154, 540, 3560, 543, 519, 17149, 25874, 540, 3047, 781, 14425, 269, 3414, 713, 14336, 5566, 5943, 267, 2776, 12685, 340, 29967, 19156, 519, 2956, 540, 14237, 11009, 543, 21548, 538, 3210, 547, 2825, 2591, 780, 4089, 476, 275, 281, 8889, 9024, 328, 2510, 543, 5398, 32185, 692, 2026, 5018, 4505, 267, 2229, 9541, 1404, 513, 2629, 1909, 538, 5009, 12601, 10073, 543, 5807, 2318, 8456, 4724, 4264, 6283, 269, 1280, 3236, 267, 519, 5177, 27565, 24273, 5063, 26823, 3022, 11278, 4335, 2929, 18121, 277, 3583, 2929, 264, 4724, 18546, 2305, 3646, 267, 15202, 513, 7029, 547, 1232, 12365, 1944, 519, 4182, 781, 3991, 7781, 18239, 269, 6270, 7575, 711, 1152, 24772, 7082, 6015, 538, 6932, 4066, 855, 849, 1683, 15417, 2666, 585, 5339, 29293, 540, 1761, 2640, 543, 19363, 2404, 609, 1804, 8397, 13289, 2476, 689, 8093, 10173, 780, 23389, 2278, 594, 2993, 10937, 18858, 13568, 578, 22851, 2047, 609, 891, 3609, 9840, 538, 1010, 960, 661, 529, 307, 879, 630, 296, 576, 774, 1177, 1070, 13296, 646, 31886, 1283, 16365, 4485, 547, 7598, 1689, 1510, 6190, 7156, 585, 2199, 5380, 543, 2115, 269, 1635, 6313, 519, 13253, 1063, 21438, 3375, 6194, 3157, 543, 29065, 7341, 267, 18858, 13568, 578, 7125, 3007, 547, 519, 10848, 7915, 538, 13321, 7493, 16431, 883, 15889, 4641, 780, 6962, 692, 9961, 713, 1770, 267, 649, 723, 8947, 1585, 3344, 540, 2825, 1143, 543, 3235, 665, 761, 6291, 607, 4843, 998, 519, 7828, 540, 3167, 6472, 538, 476, 2641, 560, 10601, 4436, 3332, 269, 3245, 23827, 908, 519, 5626, 5222, 540, 3908, 10688, 547, 29506, 1944, 3609, 18747, 543, 741, 29298, 267, 891, 5931, 4196, 607, 4105, 7418, 547, 5571, 27964, 4478, 6940, 267, 5539, 267, 543, 3356, 269, 11086, 267, 676, 2502, 7184, 609, 891, 4798, 267, 4207, 4589, 4161, 3988, 547, 1589, 9691, 827, 741, 1378, 5107, 538, 5935, 519, 18330, 540, 1480, 5872, 609, 519, 2067, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25821, 6472, 267, 610, 12601, 338, 267, 723, 1279, 1044, 513, 4183, 540, 1414, 30235, 9413, 543, 1523, 1286, 1163, 657, 267, 609, 741, 31933, 13777, 22618, 1560, 16115, 543, 627, 597, 2590, 16546, 602, 1745, 1360, 476, 2641, 560, 2540, 563, 3719, 621, 4959, 519, 476, 2641, 560, 2540, 267, 543, 585, 1346, 540, 721, 945, 3314, 519, 2063, 5756, 540, 519, 476, 5002, 271, 338, 267, 519, 2104, 568, 1934, 563, 20812, 1962, 1749, 723, 4847, 5179, 1235, 547, 5963, 9784, 12601, 338, 267, 607, 8380, 606, 3167, 5179, 883, 513, 1286, 609, 513, 13674, 2599, 607, 1134, 2636, 519, 1655, 540, 1312, 10600, 563, 309, 12317, 2873, 616, 1100, 3476, 3908, 547, 513, 2039, 540, 476, 1789, 268, 2412, 5195, 593, 513, 2582, 5279, 267, 1247, 4492, 4346, 896, 4620, 1503, 610, 17088, 6117, 568, 5818, 539, 676, 519, 23023, 540, 15452, 1648, 1282, 29584, 563, 2690, 2899, 267, 621, 779, 606, 13476, 7874, 5647, 602, 568, 2965, 6225, 585, 10256, 1932, 1107, 865, 786, 621, 1291, 547, 513, 1007, 10006, 538, 22696, 6137, 6517, 888, 763, 2626, 949, 1360, 1134, 581, 9811, 267, 3226, 607, 519, 8644, 667, 2114, 723, 1631, 9307, 3368, 513, 5479, 6550, 685, 4502, 540, 5092, 883, 12601, 338, 543, 1644, 2029, 563, 8170, 713, 267, 11278, 1911, 2929, 568, 1274, 5658, 539, 585, 1382, 543, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5319, 1444, 16117, 543, 8278, 665, 761, 6291, 538, 476, 2641, 560, 31588, 1722, 4436, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5125, 1315, 476, 2641, 560, 11416, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 681, 1901, 9177, 543, 7861, 574, 2349, 5446, 692, 5331, 713, 9183, 281, 8861, 6499, 547, 979, 547, 513, 5428, 855, 1352, 781, 11688, 26938, 1317, 1352, 4862, 930, 32422, 827, 519, 3984, 1373, 1611, 547, 6690, 945, 20549, 1010, 8441, 269, 1809, 8861, 2731, 15055, 6105, 543, 16976, 547, 979, 19037, 269, 2311, 519, 1439, 540, 519, 3781, 267, 1310, 2348, 15189, 1896, 2053, 267, 8861, 6368, 3081, 9811, 547, 2469, 1753, 609, 519, 3984, 269, 1717, 267, 2899, 789, 12446, 693, 1010, 1747, 267, 646, 4229, 5128, 593, 1200, 269, 4634, 1498, 8861, 7620, 8815, 547, 2097, 936, 267, 1281, 621, 1611, 602, 1018, 5949, 2663, 729, 15502, 286, 25999, 10691, 256, 3143, 2339, 1018, 3510, 2576, 9060, 2933, 538, 267, 7142, 4638, 3346, 568, 2760, 11807, 269, 10251, 267, 2486, 1419, 1025, 1868, 9601, 899, 8861, 3079, 540, 8066, 10419, 21116, 18177, 269, 901, 7613, 568, 1634, 607, 22149, 2528, 543, 6408, 1025, 5446, 269, 2913, 781, 2263, 891, 2035, 2417, 780, 305, 1901, 9177, 4016, 547, 606, 1604, 1141, 6848, 8456, 3339, 1125, 267, 20496, 267, 610, 1256, 24735, 1125, 4638, 5208, 543, 6057, 269, 901, 666, 8915, 998, 24668, 267, 8292, 267, 2923, 6835, 267, 4031, 267, 543, 4507, 602, 2303, 621, 781, 513, 6408, 779, 13337, 950, 789, 1995, 4638, 14213, 269, 1280, 3236, 267, 1004, 1522, 2161, 1919, 899 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8733, 3666, 6498, 540, 3110, 2787, 1107, 4070, 540, 9897, 998, 519, 7733, 5012, 547, 6498, 540, 3110, 2787, 540, 2831, 267, 5017, 543, 824, 2249, 563, 1432, 1281, 8733, 19261, 1611, 4688, 547, 2061, 519, 22930, 540, 1271, 2067, 2200, 547, 519, 3954, 24851, 540, 7733, 543, 19856, 656, 5599, 547, 2012, 513, 1547, 1548, 616, 519, 3123, 585, 22930, 540, 7320, 666, 1419, 1291, 547, 8733, 19261, 519, 4914, 2249, 949, 16937, 519, 1604, 540, 5065, 2249, 267, 4657, 1547, 1323, 8733, 19261, 568, 519, 3597, 540, 938, 1699, 30481, 1966, 519, 796, 4818, 1695, 26572, 19069, 538, 2681, 5964, 5161, 540, 9900, 12902, 620, 18090, 512, 1495, 571, 803, 27595, 267, 27726, 267, 29990, 8916, 267, 543, 1547, 8074, 593, 8733, 19261, 543, 741, 4539, 22930, 540, 17645, 4494, 543, 3679, 4764, 8781, 540, 1804, 7733, 543, 5260, 20087, 338, 267, 15191, 14742, 849, 3565, 1547, 634, 2243, 1957, 786, 1331, 1871, 1759, 2243, 4433, 264, 547, 519, 6708, 540, 476, 274, 268, 276, 7436, 22930, 540, 7733, 543, 8733, 19261, 476, 10436, 563, 1432, 616, 519, 3123, 540, 8733, 19261, 22930, 540, 7733, 543, 8733, 19261, 2307, 707, 3158, 2671, 547, 281, 11356, 2376, 593, 812, 543, 8733, 19261, 269, 22339, 1047, 906, 281, 22930, 543, 5726, 540, 21944, 7733, 936, 519, 1296, 267, 519, 1858, 896, 4104, 3382, 814, 8519, 20406, 267, 607, 7733, 723, 1044, 23498, 585, 6683, 267, 2872, 267, 8027, 267, 543, 824, 1646, 2238, 899, 519, 4070, 540, 9897, 267, 7841, 1811, 267, 543, 32394, 2371, 269, 634, 556, 16396, 540, 22600, 549, 1407, 5065, 547, 519, 556, 16396, 4087, 568, 1898, 547, 2057, 606, 8733, 19261, 1382, 2982, 602, 538, 519, 11808, 3646, 5342, 538, 521, 686, 561, 17249, 267, 5111, 476, 1220, 268, 13136, 3873, 856, 540, 476, 272, 267, 1822, 268, 272, 267, 1220, 3873, 723, 4951, 3811, 11808, 563, 20332, 2200, 281, 22930, 4128, 267, 2010, 543, 741, 5726, 855, 538, 5599, 543, 936, 7721, 680, 334, 2787, 540, 16025, 267, 519, 8733, 3441, 547, 7733, 568, 1547, 901, 4199, 2965, 5921, 547, 1711, 4656, 593, 22930, 543, 5726, 540, 7733, 553, 649, 991, 938, 2104, 5481, 1058, 849, 2972, 519, 2648, 540, 2470, 267, 8117, 676, 12159, 540, 4104, 2073, 6518, 5932, 606, 8733, 19261, 269, 17461, 519, 22930, 540, 7733, 267, 799, 568, 3622, 1634, 607, 17717, 568, 5941, 609, 519, 9837, 540, 4466, 3435, 547, 621, 519, 2557, 693, 799, 621, 568, 2921, 1747, 568, 24034, 543, 2221, 621, 814, 1831, 513, 2518, 6433, 269, 26954, 19261, 666, 723, 513, 3978, 8801, 1198, 593, 938, 1272, 517, 3618, 621, 666, 581, 15286, 676, 5466, 2152, 899, 519, 560, 24780, 3123, 540, 2916, 1689, 267, 2061, 8733, 7963, 538, 519, 1815, 4722, 543, 676, 519, 9542, 540, 782, 3800, 799, 2061, 4028, 30873, 1689, 269, 0, 1692, 547, 2328, 513, 2978, 1867, 454, 21980, 3894, 585, 1603, 606, 16643, 2511, 2978, 1867, 1382, 4930, 538, 6530, 1246, 513, 1808, 3898, 607, 1305, 8521, 676, 519, 7819, 5626, 269, 13832, 585, 513, 6323, 2978, 5359, 952, 596, 616, 1210, 513, 2262, 16267, 585, 707, 2978, 1867, 519, 1867, 1354, 596, 666, 2328, 513, 5758, 540, 621, 269, 6997, 1867, 2474, 543, 513, 3732, 2978, 1867, 676, 10027, 2643, 28219, 718, 3744, 917, 602, 2978, 5359, 616, 513, 1360, 1271, 851, 540, 1169, 4603, 519, 3483, 540, 606, 269, 1684, 596, 4755, 547, 581, 10010, 609, 1603, 707, 2978, 1867, 649, 723, 519, 1655, 5830, 945, 666, 2328, 513, 1434, 1650, 1759, 593, 707, 4170, 543, 616, 2386, 547, 798, 713, 269, 634, 30304, 540, 1603, 513, 1434, 2978, 1867, 585, 2606, 7350, 6030, 32531, 573, 522, 383, 499, 18484, 24274, 1496, 16942, 6870, 2639, 1103, 713, 2376, 596, 949, 1224, 827, 2257, 2978, 1867, 1246, 891, 2241, 3268, 610, 1175, 1931, 513, 1867, 1934, 713, 3028, 2337, 609, 1603, 269, 901, 568, 513, 2489, 3391, 585, 1603, 1034, 2596, 7350, 8047, 5359, 519, 3898, 949, 4268, 4470, 593, 519, 1362, 543, 519, 4116, 865, 621, 568, 1271, 547, 269, 26488, 585, 1603, 513, 6323, 2978, 1867, 519, 3044, 4948, 2978, 1867, 5161, 540, 519, 1739, 6810, 4063, 602, 782, 2978, 5359, 949, 711, 723, 1169, 3296, 269, 4400, 7779, 2978, 1867, 1603, 3028, 568, 2919, 676, 938, 2754, 547, 1683, 1053, 609, 2688, 2978, 5359, 2854, 689, 15072, 1205, 3318, 2978, 1867, 948, 563, 9288, 2875, 1603, 3391, 2978, 5359, 910, 476, 276, 552, 2978, 1867, 2609, 513, 1867, 568, 2813, 1210, 891, 4162, 1582, 23418, 15659, 3561, 269, 11261, 281, 2012, 281, 1362, 281, 2257, 476, 280, 2489, 2978, 5359, 875, 547, 2328, 909, 2978, 5359, 30453, 875, 547, 2328, 909, 513, 6101, 2978, 1867, 519, 3483, 540, 6901, 568, 269, 2755, 2866, 547, 581, 513, 10196, 267, 621, 568, 1271, 547, 581, 2111, 547, 2328, 3927, 865, 602, 519, 3877, 540, 707, 4603, 666, 581, 6045, 5693, 543, 12799, 269, 1215, 547, 798, 513, 2978, 2328, 909, 513, 2978, 2328, 909, 568, 513, 2312, 267, 2143, 7291, 540, 707, 4603, 621, 568, 1031, 547, 4766, 543, 5659, 519, 5773, 4553, 543, 1239, 6394, 563, 1692, 547, 2328, 513, 2978, 1867, 2409, 3296, 519, 3898, 585, 519, 3003, 2978, 1867, 568, 24298, 538, 519, 30453, 540, 8047, 4170, 269, 1635, 476, 8099, 268, 4905, 281, 3621, 1505, 2978, 1867, 5225, 1224, 936, 519, 1739, 7355, 547, 3391, 596, 538, 1603, 519, 2978, 1867, 3277, 547, 23891, 513, 890, 7770, 1731, 779, 513, 2110, 3391, 547, 269, 5192, 519, 1034, 6325, 543, 12905, 2978, 1867, 948, 1603, 2298, 2978, 5359, 666, 581, 3833, 4101, 267, 2523, 2016, 519, 1377, 540, 5578, 543, 1702, 269, 14992, 946, 2978, 5359, 607, 513, 1797, 540, 5355, 2359, 543, 2504, 713, 5816, 3217, 513, 1413, 693, 519, 2489, 2978, 1867, 3898, 543, 875, 547, 3082, 621, 563, 23921, 513, 1134, 2275, 2761, 539, 7998, 2978, 1867, 649, 616, 693, 707, 3028, 952, 1603, 513, 8047, 1867, 568, 606, 9688, 532, 4161, 585, 596, 267, 938, 2754, 568, 2141, 4712, 547, 948, 269, 5903, 540, 7355, 1031, 547, 2328, 513, 2978, 1867, 267, 971, 607, 8367, 267, 1239, 3349, 267, 8753, 713, 10959, 666, 4196, 607, 513, 23988, 585, 1022, 2978, 1867, 563, 1692, 547, 2328, 513, 2978, 1867, 454, 16240, 538, 519, 10459, 3126, 2978, 5359, 1018, 568, 513, 2978, 1867, 2978, 5359, 616, 6054, 602, 2992, 513, 1382, 1184, 17298, 538, 513, 6101, 610, 3318, 269, 1684, 596, 991, 547, 2328, 513, 2978, 1867, 7048, 593, 721, 2978, 1867, 1603, 2501, 1310, 596, 723, 2944, 519, 2838, 4603, 789, 1106, 606, 1898, 851, 540, 707, 3446, 269, 1215, 547, 2328, 6323, 2978, 5359, 972, 616, 1614, 2055, 547, 1832, 538, 2247, 950, 1603, 2978, 5359, 476, 272, 1223, 707, 3659, 630, 528, 707, 20148, 264, 1224, 519, 1867, 543, 563, 8139, 875, 547, 2328, 513, 2978, 1867, 3898, 2306, 513, 11727, 2978, 1867, 2653, 547, 1711, 543, 1934, 616, 519, 1919, 4502, 6236, 269, 16179, 2978, 1867, 1603, 676, 3318, 943, 323, 5830, 2628, 1447, 281, 1205, 28774, 267, 16436, 707, 2828, 543, 2972, 707, 513, 9344, 585, 782, 4574, 269, 11426, 2978, 1867, 1603, 952, 596, 1810, 1405, 917, 875, 547, 798, 513, 2978, 1867, 267, 596, 786, 991, 4018, 5809, 6351, 689, 3318, 2978, 1867, 948, 2533, 547, 1397, 596, 269, 6258, 875, 547, 2328, 513, 2978, 1867, 547, 5968, 707, 4681, 563, 763, 2140, 540, 707, 1867, 1590, 6655, 519, 2462, 4605, 540, 707, 2978, 621, 779, 1655, 547, 2328, 519, 2140, 538, 607, 1906, 1913, 607, 2009, 855, 621, 1590, 1869, 2285, 519, 5467, 513, 1434, 269, 589, 2656, 3391, 547, 1603, 513, 6530, 2978, 3146, 1636, 7493, 910, 4367, 910, 1505, 910, 2164, 910, 4901, 269, 634, 2694, 540, 513, 8047, 1867, 4367, 281, 383, 507, 1018, 568, 519, 2796, 538, 799, 519, 4603, 3217, 1747, 519, 3119, 2816, 540, 1022, 269, 8212, 2978, 1867, 268, 2944, 9985, 547, 26924, 6909, 8464, 6323, 568, 835, 540, 519, 10459, 267, 799, 949, 3100, 547, 581, 1360, 6946, 547, 1034, 540, 519, 1053, 269, 21885, 5359, 630, 10193, 1634, 607, 2978, 5359, 264, 616, 5359, 540, 12170, 1382, 5342, 676, 741, 4589, 596, 1058, 1589, 540, 606, 8097, 1867, 607, 513, 269, 0, 3528, 2201, 4239, 476, 1556, 267, 476, 1001, 279, 5131, 16974, 454, 1103, 930, 6381, 267, 899, 713, 835, 267, 596, 666, 2681, 3544, 519, 3515, 1317, 596, 3580, 2759, 519, 4062, 856, 19952, 269, 901, 2636, 596, 547, 946, 1804, 5812, 18116, 267, 607, 596, 666, 1294, 538, 519, 2699, 8459, 1657, 543, 593, 519, 1318, 269, 901, 568, 606, 2523, 5363, 9133, 585, 7820, 1053, 945, 616, 7801, 519, 8219, 538, 713, 3733, 10610, 1788, 269, 630, 9617, 581, 2386, 711, 547, 946, 713, 8671, 545, 593, 519, 5580, 3368, 540, 519, 2295, 538, 519, 3733, 10610, 1433, 1317, 649, 4465, 1406, 16013, 1472, 782, 1346, 15532, 543, 16209, 8094, 763, 957, 540, 7801, 666, 2087, 5179, 1983, 538, 707, 1453, 269, 634, 20517, 3238, 538, 7801, 899, 8066, 519, 2645, 543, 31163, 17331, 609, 22916, 517, 666, 948, 538, 519, 1646, 540, 519, 6263, 6091, 538, 1010, 21015, 267, 11263, 543, 3946, 269, 20963, 5179, 1983, 948, 707, 1453, 547, 2328, 543, 13861, 1507, 3615, 269, 901, 2337, 707, 1453, 547, 1685, 1732, 27268, 269, 16974, 2337, 547, 1020, 543, 7794, 519, 1688, 6091, 267, 799, 2663, 2337, 609, 2238, 899, 17511, 543, 17666, 3615, 563, 2710, 711, 31361, 952, 707, 3214, 616, 711, 7801, 5265, 610, 952, 646, 568, 7801, 3544, 519, 3515, 269, 16217, 1047, 873, 585, 1010, 4674, 269, 1403, 596, 1294, 707, 3214, 1818, 9073, 1247, 7801, 267, 948, 873, 609, 621, 3079, 540, 669, 4575, 269, 17546, 1864, 875, 547, 6445, 513, 2230, 543, 798, 909, 543, 1524, 8482, 269, 1411, 666, 849, 4001, 1864, 547, 946, 14911, 4778, 547, 1118, 519, 4605, 2408, 811, 7524, 269, 16974, 568, 849, 606, 5140, 5420, 540, 4082, 269, 5753, 1419, 2769, 741, 7209, 998, 5373, 543, 7801, 563, 3374, 856, 540, 476, 1911, 1759, 593, 476, 4200, 274, 3593, 16863, 454, 28242, 9365, 1744, 4100, 454, 21854, 12108, 512, 11548, 454, 6812, 275, 26964, 623, 1231, 454, 28803, 5616, 266, 1744, 4100, 454, 22724, 774, 3518, 331, 337, 1744, 4100, 454, 9340, 13017, 323, 30893, 1744, 4100, 454, 15100, 476, 1001, 272, 910, 476, 1001, 279, 715, 629, 333, 29335, 269, 2353, 2924, 11603, 269, 0, 6357, 7790, 303, 4048, 826, 267, 524, 269, 11260, 271, 282, 546, 5507, 267, 476, 273, 20029, 269, 476, 9692, 272, 1040, 16231, 21917, 543, 15747, 626, 269, 2986, 7334, 8129, 267, 646, 729, 835, 540, 519, 2146, 540, 20527, 332, 580, 28584, 12372, 945, 1500, 606, 621, 10719, 656, 19762, 560, 1537, 4876, 538, 6628, 267, 4730, 513, 3099, 540, 2842, 543, 5569, 7405, 267, 519, 6830, 788, 10730, 267, 543, 519, 3632, 1181, 269, 2311, 519, 942, 540, 1010, 2669, 646, 729, 513, 5595, 18369, 6345, 693, 519, 3751, 781, 20989, 269, 3571, 15885, 17663, 5631, 12068, 2575, 267, 1519, 5569, 14415, 1115, 543, 10483, 13691, 5067, 21648, 269, 3571, 4207, 10639, 267, 2705, 267, 729, 17956, 676, 1010, 20498, 569, 3811, 10872, 5067, 1092, 634, 11135, 540, 26285, 826, 630, 322, 269, 9965, 279, 264, 585, 14440, 267, 1591, 334, 267, 543, 30413, 609, 14941, 740, 5391, 630, 331, 831, 11231, 585, 21088, 13691, 1040, 901, 960, 267, 556, 10968, 609, 513, 581, 11803, 540, 14013, 2113, 10560, 2065, 2360, 267, 729, 18481, 2442, 547, 2196, 547, 930, 476, 2412, 21820, 543, 547, 521, 790, 606, 7952, 540, 4086, 2406, 26776, 15556, 269, 918, 665, 385, 378, 342, 4673, 781, 711, 9461, 1214, 729, 2417, 4359, 676, 519, 29737, 6381, 540, 1010, 2669, 267, 519, 28336, 3932, 540, 606, 2144, 5328, 4603, 563, 5804, 634, 10228, 12660, 542, 547, 8535, 538, 10228, 13129, 269, 0, 24171, 12457, 729, 519, 2278, 3297, 1605, 4445, 2854, 538, 513, 2197, 5939, 12881, 267, 799, 814, 8810, 547, 581, 513, 15851, 5339, 4062, 2854, 543, 3370, 538, 519, 476, 1240, 628, 269, 7338, 12457, 1605, 4445, 2854, 538, 513, 2197, 5939, 12881, 4729, 7650, 543, 2079, 2854, 676, 606, 4810, 5339, 10404, 2407, 1353, 3391, 585, 713, 2140, 4867, 269, 18479, 4445, 2854, 538, 513, 2197, 5939, 12881, 676, 28114, 12457, 789, 2811, 4666, 630, 604, 602, 781, 513, 6249 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 2793, 10933, 11968, 13353, 670, 8986, 7433, 2201, 6726, 566, 2986, 4354, 1407, 2060, 589, 7435, 4477, 323, 18185, 454, 763, 1101, 2834, 5870, 540, 519, 1007, 4005, 585, 519, 11968, 13353, 27062, 8791, 267, 634, 5980, 540, 25220, 11629, 338, 543, 13149, 19296, 267, 729, 669, 8529, 543, 8118, 676, 5261, 589, 269, 32431, 269, 1261, 16425, 5189, 519, 1007, 10492, 585, 519, 1032, 267, 12650, 269, 808, 9950, 269, 18087, 2317, 267, 2475, 301, 267, 13030, 28579, 267, 543, 8176, 661, 269, 1261, 559, 267, 23122, 2389, 516, 5501, 337, 563, 1103, 519, 9000, 540, 519, 14430, 28579, 267, 18279, 18087, 2317, 5189, 519, 10584, 267, 6754, 595, 668, 518, 540, 519, 7043, 16047, 25220, 26676, 12881, 269, 6004, 269, 595, 668, 518, 781, 1957, 729, 11331, 834, 15612, 566, 540, 10281, 15543, 1738, 4354, 1407, 585, 26751, 17632, 2060, 519, 2422, 540, 513, 7435, 4477, 323, 18185, 1701, 6004, 269, 595, 668, 518, 781, 1957, 4330, 513, 1982, 519, 2278, 1185, 2854, 585, 513, 7147, 19639, 618, 476, 6795, 5358, 30154, 18185, 547, 12337, 519, 14258, 540, 513, 26083, 1106, 689, 1899, 12400, 267, 7515, 540, 13726, 1115, 610, 3144, 1055, 519, 26083, 3294, 269, 634, 3601, 540, 519, 25671, 1355, 267, 609, 741, 6310, 4082, 585, 2040, 2719, 519, 19976, 543, 29529, 8090, 540, 24880, 540, 519, 1216, 30350, 2127, 267, 1106, 519, 4493, 540, 519, 1982, 269, 589, 5094, 3296, 540, 519, 1957, 729, 13991, 547, 519, 3903, 540, 519, 1297, 543, 19437, 540, 519, 10473, 1031, 547, 3132, 13726, 1115, 610, 3368, 3694, 2195, 585, 7127, 883, 519, 1982, 269, 3143, 1305, 19437, 568, 2838, 267, 543, 519, 1297, 540, 971, 10473, 949, 581, 607, 1804, 610, 607, 1507, 607, 519, 2838, 6111, 9598, 919, 563, 5194, 3296, 540, 519, 1957, 5941, 519, 9030, 3096, 585, 519, 533, 678, 522, 575, 678, 993, 538, 2038, 1374, 5933, 267, 547, 1118, 909, 513, 3803, 1305, 540, 14258, 610, 547, 12337, 513, 1305, 540, 14258, 585, 606, 4540, 26083, 1141, 1100, 824, 12400, 616, 5612, 2139, 269, 634, 5383, 267, 646, 1100, 842, 539, 856, 267, 941, 602, 14258, 1223, 581, 3533, 17223, 1141, 2877, 267, 547, 606, 6111, 5462, 676, 519, 1297, 540, 25671, 6950, 1031, 267, 543, 782, 713, 2944, 8850, 2899, 519, 2596, 1344, 568, 17332, 269, 3571, 1957, 729, 1252, 3585, 11609, 609, 2143, 1806, 269, 634, 6881, 3294, 676, 6004, 269, 595, 668, 518, 729, 3592, 1376, 1782, 609, 922, 12667, 4778, 543, 2095, 12222, 269, 898, 1131, 723, 1500, 1022, 1062, 25566, 3039, 609, 679, 11803, 585, 922, 9355, 540, 6609, 540, 519, 1184, 543, 922, 15364, 269, 1306, 4334, 539, 609, 519, 1957, 3294, 267, 1010, 15942, 941, 2282, 1568, 540, 1148, 269, 1358, 11617, 4330, 519, 1523, 540, 713, 1982, 267, 543, 676, 519, 5432, 1899, 543, 3625, 2095, 12125, 3366, 519, 21951, 998, 606, 1931, 569, 5432, 1436, 609, 519, 1982, 2035, 267, 922, 3156, 543, 519, 1775, 544, 533, 561, 552, 544, 552, 562, 512, 513, 512, 1775, 522, 562, 540, 922, 2164, 269, 1703, 729, 2370, 2451, 547, 835, 781, 9345, 4849, 2965, 5665, 519, 1982, 998, 513, 1483, 1272, 1966, 563, 2026, 1131, 581, 4397, 267, 519, 7766, 546, 1775, 521, 524, 579, 521, 521, 1775, 522, 562, 521, 2073, 2055, 543, 4267, 689, 519, 6989, 941, 1312, 18512, 543, 3573, 269, 898, 729, 2653, 547, 1294, 945, 941, 1034, 5432, 609, 519, 2553, 543, 789, 3533, 31889, 875, 14916, 512, 554, 552, 586, 512, 554, 552, 544, 521, 552, 561, 642, 552, 521, 1185, 1031, 891, 610, 2147, 2780, 1242, 2409, 269, 6270, 5752, 991, 711, 581, 11658, 547, 519, 1688, 4371, 533, 678, 522, 575, 678, 513, 544, 544, 513, 536, 561, 552, 9498, 269, 8950, 2029, 568, 9090, 3964, 538, 519, 7286, 4702, 2361, 269, 901, 729, 855, 1776, 16315, 540, 875, 17618, 713, 1062, 814, 1044, 15849, 23624, 607, 513, 1374, 1907, 269, 0, 2691, 596, 5544, 835, 540, 519, 844, 5593, 31257, 8021, 602, 561, 5424, 1472, 3013, 779, 10034, 543, 4872, 267, 798, 596, 1294, 873, 607, 513, 5075, 540, 1390, 2104, 5399, 1374, 286, 1403, 711, 267, 596, 1058, 563, 763, 3044, 2934, 540, 31257, 8021, 4174, 330, 5944, 616, 2147, 547, 519, 2413, 4998, 6730, 20427, 1114, 689, 519, 4571, 10601, 1433, 268, 2264, 5264, 5656, 602, 3357, 1063, 1287, 543, 1631, 269, 634, 7732, 540, 519, 8892, 267, 829, 2749, 18350, 2593, 19037, 267, 2934, 15597, 2139, 2230, 630, 18485, 585, 5870, 543, 1818, 1919, 264, 607, 1454, 607, 621, 1281, 2835, 269, 31257, 8021, 2141, 12286, 1804, 2127, 6131, 547, 9602, 3349, 960, 630, 331, 2194, 641, 2127, 267, 4896, 24047, 543, 1804, 2146, 11623, 543, 1857, 8602, 7741, 538, 1840, 547, 519, 15977, 15808, 2230, 269, 670, 7825, 563, 763, 9452, 540, 519, 31257, 23905, 454, 4517, 4319, 31257, 729, 519, 29659, 812, 538, 519, 1158, 538, 476, 5002, 272, 269, 5617, 773, 1324, 602, 968, 1492, 812, 945, 10523, 3638, 267, 10523, 538, 771, 6588, 576, 2223, 646, 5795, 2476, 476, 3445, 260, 540, 1010, 19539, 1107, 827, 1269, 12573, 2929, 1107, 7616, 8021, 267, 5939, 8219, 543, 4081, 5238, 538, 519, 2475, 543, 1472, 519, 1158, 267, 543, 21722, 519, 1523, 540, 1863, 1857, 2533, 563, 10111, 28616, 630, 7224, 23920, 264, 993, 21724, 1010, 19539, 998, 7168, 29695, 7694, 2853, 543, 729, 18979, 569, 10353, 547, 9769, 1944, 4600, 945, 18796, 21173, 598, 947, 687, 899, 2110, 2287, 741, 476, 1321, 5662, 513, 1554, 476, 277, 1554, 513, 3018, 960, 8430, 269, 3571, 24960, 344, 3357, 609, 513, 2603, 540, 12673, 1107, 851, 540, 1010, 1187, 729, 8159, 875, 519, 2434, 525, 572, 729, 6170, 269, 1261, 9053, 547, 24946, 547, 3123, 602, 1131, 968, 15276, 1346, 945, 5280, 2933, 2223, 8754, 513, 2603, 540, 8021, 269, 1879, 646, 9516, 513, 5399, 9886, 267, 646, 849, 2838, 602, 519, 4884, 610, 2749, 1683, 519, 3135, 267, 2835, 267, 5234, 543, 606, 10018, 540, 5665, 7482, 563, 1692, 31257, 4347, 1441, 519, 1977, 7732, 454, 1103, 476, 4489, 280, 267, 972, 941, 827, 476, 12573, 271, 1857, 8021, 538, 519, 2475, 2560, 3368, 540, 873, 14102, 676, 31257, 563, 3891, 1185, 513, 1463, 3310, 593, 519, 1374, 540, 519, 5656, 646, 14102, 269, 2991, 930, 540, 1010, 2038, 9886, 14102, 8021, 8604, 1932, 3063, 341, 698, 656, 547, 519, 29200, 9395, 342, 611, 267, 31257, 1185, 1010, 23122, 267, 6276, 26450, 1090, 267, 1020, 513, 30732, 2280, 547, 3391, 32358, 2950, 538, 606, 3617, 4287, 269, 968, 24687, 593, 519, 661, 14431, 540, 7732, 29844, 2223, 8659, 267, 1851, 824, 1919, 267, 3670, 10959, 6989, 4566, 585, 3617, 5399, 6272, 269, 11629, 1116, 2511, 568, 711, 9138, 267, 855, 519, 4835, 1982, 568, 1107, 2542, 4055, 267, 1930, 588, 2931, 267, 1857, 11000, 4055, 267, 1857, 8602, 7741, 267, 543, 7172, 4115, 270, 10915, 2397, 1858, 1397, 909, 538, 1142, 563, 6546, 3310, 6905, 2484, 3564, 519, 5656, 646, 13948, 6976, 585, 269, 31257, 779, 24960, 344, 3323, 513, 5458, 7678, 543, 1082, 4872, 543, 10034, 2813, 5399, 5656, 538, 513, 2147, 2511, 1818, 621, 2352, 547, 2697, 519, 4890, 31257, 8021, 8259, 1010, 2012, 568, 20077, 593, 513, 22294, 563, 2080, 568, 875, 547, 5544, 513, 5399, 689, 602, 5736, 267, 693, 513, 16145, 912, 10521, 1377, 11768, 454, 19350, 630, 21865, 2282, 3446, 1377, 264, 568, 513, 2146, 6989, 799, 3568, 513, 1857, 11000, 4055, 267, 8602, 7741, 543, 5234, 543, 3028, 2127, 269, 901, 1374, 814, 9863, 1360, 5363, 538, 27164, 7257, 1154, 891, 5656, 585, 5084, 288, 1569, 563, 15411, 2230, 593, 519, 6301, 1377, 454, 288, 6264, 13675, 25047, 5012, 909, 547, 513, 6140, 268, 13449, 2542, 4055, 630, 869, 588, 2931, 6404, 609, 7515, 610, 543, 1164, 21684, 1472, 519, 16538, 264, 782, 15763, 676, 513, 7172, 4115, 779, 6728, 630, 3602, 835, 5234, 4759, 1223, 1832, 606, 3750, 593, 519, 2898, 6989, 693, 2899, 1916, 26183, 4811, 540, 8752, 454, 20360, 3298, 267, 9486, 267, 543, 811, 9486, 269, 1703, 729, 5841, 1769, 693, 519, 2490, 540, 519, 2063, 2540, 855, 621, 7012, 1406, 4998, 610, 10464, 269, 7849, 1769, 729, 17028, 7458, 585, 782, 1483, 960, 543, 972, 1131, 2141, 581, 1082, 1804, 1164, 9486, 4092, 1472, 519, 2542, 4055, 15603, 538, 1769, 689, 2789, 5011, 563, 3383, 1548, 19732, 2989, 547, 519, 31257, 23905, 888, 5278, 616, 1869, 538, 5106, 607, 8021, 2221, 269, 11524, 723, 1044, 1065, 584, 12723, 607, 2146, 5656, 267, 4357, 4213, 267, 3092, 269, 3509, 941, 14324, 1524, 1282, 519, 476, 4198, 271, 779, 267, 476, 2568, 779, 543, 476, 3583, 779, 950, 513, 1360, 1114, 4998, 540, 968, 331, 3869, 892, 4371, 32022, 538, 519, 1977, 3750, 543, 1034, 540, 8946, 5308, 292, 616, 1631, 1373, 24565, 16283, 607, 519, 28764, 23638, 1394, 269, 634, 1455, 31831, 281, 606, 32620, 630, 604, 1932, 23337, 718, 264, 31257, 3844, 5399, 568, 986, 7458, 543, 8719, 609, 513, 14605, 2000, 527, 705, 558, 1588, 540, 22266, 626, 6405, 269, 3973, 8946, 2969, 2679, 568, 14324, 1524, 543, 8242, 883, 1945, 4837, 344, 543, 2413, 538, 519, 2063, 8717, 563, 2171, 3580, 946, 519, 1383, 540, 519, 1292, 6115, 267, 9823, 5399, 607, 606, 1383, 585, 713, 2022, 267, 2094, 621, 2501, 609, 513, 2427, 8670, 540, 513, 10508, 2685, 3765, 7666, 3660, 1867, 676, 17874, 6109, 267, 4425, 9926, 267, 19395, 1299, 16803, 267, 20926, 538, 513, 1390, 2487, 11629, 18225, 4183, 269, 634, 476, 3422, 272, 1867, 1336, 519, 3312, 31257, 5399, 547, 581, 11207, 3765, 7666, 3660, 10404, 1944, 621, 5180, 569, 267, 543, 2857, 2056, 782, 519, 630, 852, 268, 1817, 12288, 264, 2934, 602, 922, 4571, 10601, 10682, 1058, 723, 563, 288, 10213, 21626, 540, 519, 1867, 689, 602, 4183, 912, 2108, 9213, 9486, 4196, 18374, 1100, 3730, 3483, 2223, 713, 1867, 10645, 269, 968, 17457, 8654, 543, 2011, 14555, 2409, 723, 1073, 341, 7007, 519, 991, 585, 16126, 593, 2067, 1769, 543, 2011, 269, 769, 1249, 267, 513, 1454, 811, 1256, 543, 25685, 1377, 540, 8654, 543, 2837, 666, 581, 6913, 952, 972, 616, 1100, 9486, 269, 8837, 616, 513, 2027, 562, 7572, 766, 538, 513, 5399, 269, 1358, 8532, 3774, 2230, 1996, 799, 21684, 610, 15225, 666, 581, 5116, 269, 634, 2070, 568, 16297, 532, 547, 519, 5467, 269, 17797, 906, 547, 9420, 338, 543, 521, 10449, 616, 513, 3586, 2707, 540, 16698, 547, 7390, 1218, 269, 5015, 267, 9486, 616, 14427, 547, 2973, 543, 6382, 2226, 3034, 21156, 267, 519, 1007, 5399, 1058, 968, 2041, 2048, 19640, 3330, 543, 856, 16224, 609, 1970, 2781, 559, 902, 543, 8766, 9703, 6821, 2223, 543, 1058, 849, 2270, 7296, 21514, 978, 525, 630, 2254, 1175, 835, 855, 8946, 12767, 264, 7132, 513, 1804, 1858, 585, 2628, 7483, 1630, 16251, 563, 4517, 621, 729, 269, 634, 10682, 16066, 298, 5399, 267, 2966, 676, 631, 625, 8709, 3541, 10162, 515, 267, 543, 6192, 538, 476, 3192, 272, 267, 729, 519, 5326, 540, 519, 1657, 29801, 1500, 8915, 2560, 543, 568, 513, 7168, 15265, 2413, 5399, 1107, 1989, 574, 267, 4158, 543, 5762, 3293, 269, 634, 1631, 3146, 339, 1600, 8783, 7172, 4115, 540, 519, 3844, 7936, 4330, 922, 2912, 3218, 1756, 607, 267, 968, 1492, 1034, 1244, 7675, 1747, 547, 2479, 7390, 513, 1857, 5870, 1848, 3767, 519, 2749, 568, 23072, 513, 1804, 543, 14427, 22058, 566, 547, 2119, 547, 1118, 519, 2679, 513, 2370, 811, 968, 21065, 2033, 2223, 547, 10839, 1374, 4056, 267, 631, 1815, 534, 5622, 563, 17359, 17781, 281, 7982, 547, 6153, 8752, 267, 2048, 20091, 685, 10162, 1682, 543, 9835, 853, 1515, 322, 1162, 454, 2304, 2376, 593, 602, 9337, 1184, 538, 519, 6115, 1014, 4505, 713, 1032, 267, 849, 3771, 802, 1394, 547, 519, 16431, 540, 1346, 31257, 8021, 267, 844, 7627, 9400, 1234, 13433, 8566, 822, 559, 534, 267, 519, 5399, 11581, 267, 968, 10111, 28616, 4941, 547, 1711, 513, 2230, 1141, 1004, 1223, 1265, 2645, 547, 1205, 513, 1850, 909, 538, 1272, 1848, 2334, 3085, 1406, 1175, 1611, 513, 23999, 585, 2835, 269, 898, 1797, 1569, 547, 1919, 519, 1857, 2877, 855, 7948, 1406, 1205, 269, 4653, 602, 2856, 12261, 547, 3059, 1569, 585, 1004, 945, 666, 1406, 6488, 4950, 1569, 269, 1677, 4196, 1004, 945, 666, 1205, 2228, 267, 621, 849, 1797, 968 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 295, 310, 274, 24742, 518, 11073, 12803, 17902, 3299, 543, 786, 581, 2813, 538, 519, 1482, 17835, 607, 15196, 518, 295, 310, 274, 18258, 12533, 16482, 258, 1262, 13052, 9898, 2793, 299, 674, 6579, 2464, 26279, 258, 567, 476, 272, 269, 4351, 18258, 630, 514, 30958, 18258, 2567, 901, 568, 519, 4351, 9074, 689, 519, 5124, 454, 258, 567, 3044, 5399, 269, 634, 18158, 1362, 3096, 713, 547, 5352, 513, 7833, 454, 258, 567, 8870, 689, 476, 271, 268, 274, 8537, 267, 1141, 476, 271, 268, 274, 2099, 519, 772, 299, 267, 772, 305, 2676, 258, 567, 667, 299, 267, 19010, 8846, 563, 16482, 258, 567, 476, 273, 269, 5365, 18258, 281, 901, 568, 519, 5365, 9074, 689, 519, 5124, 3044, 5399, 563, 258, 567, 901, 568, 1031, 547, 1305, 513, 5365, 1688, 2401, 1599, 585, 519, 590, 5456, 19860, 5365, 454, 258, 567, 630, 6311, 12435, 1341, 595, 270, 7659, 4580, 14443, 264, 952, 519, 3593, 16858, 547, 26699, 11056, 1282, 454, 258, 567, 519, 1982, 563, 16482, 258, 567, 476, 274, 269, 19523, 18258, 281, 901, 568, 519, 1062, 9074, 689, 519, 5124, 3044, 5399, 563, 258, 567, 901, 568, 1031, 547, 2165, 3729, 519, 1982, 950, 519, 1982, 7475, 267, 950, 513, 454, 258, 567, 13691, 14443, 630, 306, 5456, 19860, 5365, 264, 568, 4607, 267, 610, 950, 1930, 3890, 14543, 454, 258, 567, 547, 1711, 610, 7670, 1679, 519, 3977, 1257, 3758, 585, 1603, 563, 16482, 258, 306, 1545, 1031, 912, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 270, 12690, 11258, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 519, 4351, 9074, 2676, 258, 567, 543, 729, 1031, 585, 519, 7440, 543, 2132, 1871, 540, 519, 28219, 842, 4590, 258, 567, 1505, 267, 799, 568, 1031, 950, 12902, 519, 5884, 585, 513, 1808, 4287, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 4882, 793, 531, 11258, 258, 338, 793, 531, 4732, 793, 531, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 20414, 6786, 2676, 258, 567, 799, 729, 1031, 547, 1711, 513, 1688, 2401, 1599, 585, 519, 590, 5456, 19860, 13691, 454, 258, 567, 954, 8306, 5365, 267, 952, 519, 3593, 13821, 547, 26699, 519, 1982, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 4148, 334, 908, 4812, 11258, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 13735, 1448, 2418, 2676, 258, 567, 799, 729, 1031, 547, 959, 15635, 622, 519, 1412, 320, 2071, 1297, 540, 15956, 262, 547, 476, 274, 8918, 454, 258, 567, 2798, 609, 519, 3898, 3890, 1505, 563, 16482, 258, 10059, 2517, 4178, 269, 32491, 714, 2593, 270, 7090, 3491, 13559, 2719, 270, 19702, 1963, 268, 6247, 1218, 2000, 3438, 1023, 258, 6247, 1218, 454, 258, 567, 901, 2707, 3177, 1896, 1806, 593, 875, 547, 5581, 1412, 6247, 1218, 262, 538, 454, 258, 567, 5124, 563, 16482, 258, 10059, 2517, 4178, 269, 32491, 714, 2593, 270, 7090, 3491, 13559, 2719, 8276, 1385, 338, 270, 4289, 270, 27234, 454, 258, 567, 901, 2707, 2488, 2241, 12319, 827, 5124, 781, 8638, 262, 2312, 4590, 258, 567, 1505, 269, 901, 729, 1031, 547, 2312, 782, 2609, 538, 513, 1592, 1510, 18111, 1154, 454, 258, 567, 621, 950, 519, 5021, 1297, 540, 15956, 593, 513, 19219, 729, 8242, 563, 16482, 258, 10059, 2517, 4178, 4877, 3155, 25218, 269, 1470, 9706, 2814, 976, 6066, 1606, 2748, 1790, 1021, 2914, 7159, 1606, 2748, 3613, 641, 3917, 712, 2275, 1712, 13045, 258, 567, 901, 2707, 2488, 1806, 543, 12319, 593, 5124, 781, 3207, 4590, 258, 567, 1505, 269, 901, 2707, 729, 1031, 538, 1931, 547, 23249, 11056, 1063, 454, 258, 567, 5884, 20061, 19572, 952, 519, 3593, 5551, 563, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 318, 5035, 525, 318, 15953, 338, 21867, 454, 258, 567, 901, 2707, 6257, 538, 9793, 1469, 267, 609, 1806, 267, 875, 744, 8008, 1568, 454, 258, 567, 538, 5124, 269, 901, 729, 1031, 547, 7157, 1711, 519, 19219, 543, 30958, 5049, 2676, 258, 567, 543, 519, 10035, 585, 17034, 1362, 10305, 607, 1134, 607, 3355, 1944, 610, 454, 258, 567, 22212, 1362, 10305, 269, 901, 849, 5280, 803, 1174, 875, 547, 1711, 454, 258, 567, 8320, 540, 513, 1362, 543, 875, 547, 1569, 1362, 2409, 689, 5094, 13838, 563, 16482, 258, 10059, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 2745, 2914, 603, 719, 20642, 1467, 1790, 3155, 13045, 258, 567, 901, 2707, 6257, 875, 547, 1820, 3977, 593, 519, 1482, 1899, 454, 258, 567, 1210, 519, 1820, 3890, 1505, 538, 5124, 476, 274, 269, 901, 2707, 729, 1031, 547, 1820, 1142, 454, 258, 567, 6843, 547, 519, 1482, 1899, 593, 519, 5496, 267, 2094, 1820, 3890, 676, 9949, 16493, 454, 258, 567, 547, 513, 1007, 1899, 593, 519, 5496, 1142, 942, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 11721, 17313, 11258, 258, 13449, 6730, 454, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 6958, 3796, 318, 1470, 21867, 454, 258, 567, 5637, 2959, 941, 1031, 547, 1930, 543, 5924, 1711, 6119, 585, 1603, 2676, 258, 567, 543, 585, 7114, 519, 9868, 16207, 950, 1930, 3890, 14543, 454, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 518, 5558, 11258, 6730, 454, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 318, 1410, 8526, 21867, 454, 258, 567, 5637, 2959, 941, 1031, 547, 6023, 17756, 630, 4310, 585, 950, 519, 1930, 4590, 258, 567, 1505, 25001, 606, 744, 10345, 337, 2928, 9868, 994, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 4882, 903, 11258, 258, 338, 903, 20216, 527, 454, 258, 567, 901, 2707, 568, 1031, 547, 2165, 3729, 1982, 11056, 609, 19523, 20216, 527, 263, 13211, 258, 567, 950, 519, 1930, 3890, 1505, 14543, 547, 1711, 610, 7670, 1679, 519, 3977, 1257, 454, 258, 567, 3758, 585, 1603, 267, 950, 513, 590, 5456, 19860, 5365, 568, 4607, 267, 610, 950, 519, 454, 258, 567, 1982, 7475, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 23995, 323, 18196, 11258, 454, 258, 567, 901, 2707, 729, 1031, 547, 6460, 513, 1871, 547, 606, 703, 538, 513, 1808, 3490, 563, 258, 567, 13018, 267, 713, 2707, 729, 1031, 585, 519, 703, 3287, 267, 3490, 264, 1505, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 31553, 6503, 11258, 258, 29239, 268, 30348, 268, 11161, 454, 258, 567, 901, 2707, 568, 12319, 827, 1852, 8928, 538, 5124, 476, 274, 269, 278, 269, 271, 563, 258, 567, 901, 2707, 729, 1031, 547, 1174, 875, 547, 2936, 9949, 1599, 454, 258, 567, 7440, 538, 5124, 630, 6518, 568, 1031, 538, 519, 1205, 17750, 4590, 258, 567, 543, 1820, 17045, 19056, 3890, 1599, 1916, 16482, 258, 10059, 2517, 4178, 9884, 274, 25217, 338, 2593, 270, 7090, 270, 7090, 318, 10915, 23952, 269, 5684, 454, 258, 567, 901, 2707, 568, 12319, 593, 1585, 5124, 5569, 2409, 269, 901, 454, 258, 567, 2707, 729, 4481, 1031, 585, 519, 5580, 3890, 1505, 267, 799, 17838, 454, 258, 567, 513, 5569, 547, 26627, 27664, 282, 713, 1505, 568, 1031, 538, 519, 1205, 17750, 3890, 1505, 563, 16482, 258, 10059, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 13040, 6344, 6349, 270, 22056, 12845, 268, 24105, 2000, 626, 2987, 1790, 3155, 2914, 603, 2275, 1643, 20695, 454, 258, 567, 901, 2707, 3877, 875, 547, 1711, 606, 8900, 1592, 267, 602, 568, 267, 14574, 513, 454, 258, 567, 1592, 609, 2450, 562, 2609, 1510, 26471, 1022, 2418, 547, 519, 1592, 454, 258, 567, 17523, 269, 901, 568, 1031, 547, 1711, 606, 538, 1388, 8900, 1592, 602, 786, 2270, 454, 258, 567, 519, 2698, 1297, 540, 7575, 540, 1142, 3014, 563, 5814, 4351, 454, 5814, 5365, 454, 5814, 19523, 692, 258, 763, 1739, 568, 513, 2241, 17083, 540, 3586, 4632, 454, 258, 7474, 786, 581, 1031, 14578, 2429, 519, 1982, 454, 258, 663, 786, 10691, 581, 9168, 780, 258, 1607, 786, 581, 1031, 547, 1449, 952, 519, 3593, 3403, 267, 606, 8870, 267, 568, 540, 454, 258, 19668, 476, 1015, 282, 602, 568, 267, 10691, 606, 12354, 531, 267, 15279, 267, 9352, 1871, 267, 3092, 563, 291, 4488, 8379, 3201, 29758, 17955, 815, 476, 1015, 692, 258, 763, 1295, 636, 636, 543, 5021, 1297, 630, 514, 5477, 264, 540, 875, 1082, 2157, 786, 454, 258, 2041, 538, 519, 18158, 563, 300, 2562, 8379, 9331, 318, 4041, 27111, 306, 815, 476, 273, 454, 7246, 311, 8379, 9331, 318, 4041, 27111, 306, 815, 476, 1839, 692, 258, 763, 5934, 610, 5021, 1297, 630, 514, 5477, 264, 602, 4564, 875, 1082, 454, 258, 9392, 519, 3014, 786, 581, 20533, 563, 300, 2562, 8379, 9331, 318, 294, 4456, 2464, 815, 476, 1015, 454, 7246, 311, 8379, 9331, 318, 294, 4456, 2464, 815, 476, 2004, 692, 258, 4322, 2418, 2099, 519, 3593, 781, 3903, 267, 1412, 13433, 262, 610, 1412, 7224, 267, 585, 454, 28744, 532, 1142, 6843, 1871, 267, 1642, 574, 1243, 676, 513, 862, 2742, 267, 547, 519, 5496, 563, 4785, 2207, 318, 11266, 19860, 318, 15045, 16604, 815, 834, 312, 4840, 4785, 2207, 318, 11266, 19860, 318, 293, 3201, 10345, 815, 834, 301, 5016, 258, 763, 10230, 2418, 8204, 1142, 4287, 454, 16810, 318, 4041, 10499, 815, 476, 271, 454, 16810, 318, 305, 20846, 815, 476, 272, 454, 289, 5588, 307, 6865, 318, 4041, 10499, 815, 476, 273, 454, 289, 5588, 307, 6865, 318, 305, 20846, 815, 476, 274, 692, 258, 763, 2012, 540, 519, 3977, 3758, 454, 5495, 9143, 7473, 318, 293, 11223, 318, 2793, 10933, 815, 834, 295, 310, 274, 24742, 518, 11073, 12803, 17902, 5016, 258, 763, 6609, 540, 519, 3014, 454, 294, 28719, 32707, 2464, 31304, 303, 3582, 815, 834, 1103, 713, 3014, 267, 972, 568, 513, 18158, 540, 476, 2641, 2418, 630, 5408, 3977, 3758, 1040, 834, 1341, 26444, 4449, 567, 834, 763, 3014, 786, 1376, 693, 519, 1283, 540, 519, 18158, 267, 1141, 519, 1871, 568, 476, 272, 269, 834, 1341, 315, 454, 4449, 567, 27719, 333, 763, 10700, 1448, 540, 519, 3014, 568, 547, 3643, 782, 540, 519, 2418, 593, 519, 18158, 269, 834, 1341, 26444, 4449, 567, 27719, 333, 1607, 568, 2944, 676, 12902, 513, 476, 275, 21758, 5884, 267, 609, 519, 10297, 772, 299, 630, 1575, 2451, 1070, 772, 305, 834, 1341, 26444, 4449, 567, 834, 263, 1575, 1318, 1070, 667, 299, 630, 6658, 2451, 1070, 543, 19010, 630, 6658, 1318, 1040, 1422, 333, 2691, 519, 5884, 3338, 593, 835, 834, 1341, 26444, 4449, 567, 834, 1993, 891, 5011, 267, 519, 3593, 786, 1847, 689, 519, 1699, 1871, 547, 519, 1871, 538, 834, 1341, 26444, 4449, 567, 834, 10472, 4287, 26142, 333, 1924, 267, 952, 519, 3593, 568, 693, 519, 1871, 476, 276, 267, 543, 519, 5884, 20061, 606, 834, 1341, 26444, 4449, 567, 834, 1575, 2451, 4287, 267, 519, 3593, 786, 1847, 547, 519, 1871, 476, 273, 269, 1422, 333, 10376, 1871, 538, 519, 834, 1341, 26444, 4449, 567, 834, 6853, 1090, 573, 814, 513, 1297, 540, 15956, 267, 1141, 519, 15956, 540, 519, 1871, 20301, 875, 1082, 834, 1341, 26444, 4449, 567, 834, 9392, 713, 1871, 729, 10272, 269, 1422, 333, 7712, 519, 3593, 5956, 693, 519, 1871, 476, 272, 267, 519, 834, 1341, 26444, 4449, 567, 834, 18524, 786, 2253, 609, 476, 272, 12297, 693, 519, 1871, 476, 272, 269, 1422, 333, 2252, 519, 5884, 20061, 513, 4287, 834, 1341, 26444, 4449, 567, 834, 7474, 568, 711, 513, 2009, 1847, 689, 519, 1699, 1871, 267, 1287, 519, 3593, 786, 834, 1341, 26444, 4449, 567, 834, 560, 599, 693, 519, 1699, 1871, 267, 1422, 333, 663, 519, 1297, 540, 15956, 593, 713, 1871, 786, 834, 1341, 26444, 4449, 567, 834, 2041, 1213, 7757, 269, 1924, 267, 952, 519, 3593, 568, 693, 1871, 476, 278, 543, 476, 278, 814, 476, 273, 15956, 267, 543, 834, 1341, 26444, 4449, 567, 834, 1492, 5884, 20061, 606, 909, 2451, 4287, 267, 1422, 660, 515, 3593, 13978, 693, 519, 1871, 476, 278, 543, 834, 1341, 26444, 4449, 567, 834, 1492, 1297, 540, 15956 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 1224, 2228, 585, 1863, 563, 19324, 320, 11287, 519, 3618, 17516, 938, 1604, 1753, 2457, 2934, 519, 5767, 3377, 593, 1965, 320, 781, 3618, 8343, 2238, 1644, 547, 2825, 3354, 269, 7348, 6780, 948, 910, 8343, 630, 272, 264, 689, 6530, 476, 6110, 693, 6280, 540, 943, 14535, 1460, 476, 272, 8343, 1353, 851, 1775, 875, 941, 519, 1004, 11231, 538, 519, 2168, 1604, 630, 26792, 719, 540, 4055, 543, 269, 22339, 1047, 906, 281, 930, 540, 519, 2101, 2553, 1031, 585, 8343, 543, 4027, 540, 606, 1604, 538, 15242, 616, 607, 5205, 281, 476, 272, 2825, 1344, 1062, 630, 523, 6665, 264, 476, 273, 269, 11819, 6268, 3391, 476, 1001, 273, 268, 1724, 6389, 476, 273, 281, 519, 4928, 1604, 6101, 4116, 8343, 1106, 269, 0, 26046, 540, 519, 2140, 540, 519, 27241, 454, 8368, 540, 9115, 5758, 5758, 851, 476, 273, 5758, 851, 476, 274, 5339, 2079, 2417, 2200, 538, 519, 27241, 519, 27241, 5339, 2079, 3349, 540, 9115, 5758, 5758, 851, 476, 273, 519, 1152, 1259, 547, 2312, 707, 1378, 2012, 729, 547, 21334, 543, 2012, 1866, 269, 31522, 4734, 803, 1250, 2012, 2079, 281, 605, 2758, 2588, 1562, 891, 3515, 693, 519, 1439, 540, 519, 1404, 267, 538, 957, 17488, 267, 950, 646, 568, 32702, 609, 1010, 25903, 936, 2436, 547, 21334, 547, 31783, 543, 2140, 281, 1271, 10530, 689, 519, 27241, 2278, 269, 16520, 2079, 1382, 1957, 585, 519, 27241, 1900, 476, 273, 29466, 513, 6281, 2707, 585, 1382, 2012, 27702, 4266, 27702, 1974, 27702, 269, 2060, 519, 1913, 811, 2597, 575, 3796, 4295, 344, 267, 689, 519, 27241, 676, 818, 11037, 30885, 267, 3587, 513, 3020, 5869, 2429, 519, 1404, 267, 4295, 344, 2242, 689, 513, 18174, 880, 2025, 812, 267, 883, 513, 5869, 945, 10100, 3585, 10523, 585, 1010, 1920, 781, 1134, 5630, 543, 8956, 609, 1175, 1346, 1079, 1913, 267, 519, 1915, 540, 575, 3796, 4295, 344, 568, 3989, 269, 3690, 5296, 540, 513, 15594, 2079, 540, 519, 27241, 1256, 2469, 607, 2484, 607, 546, 2466, 1154, 1010, 21359, 543, 8297, 1456, 1010, 1412, 16591, 2012, 262, 782, 540, 713, 568, 2944, 1175, 547, 723, 1010, 7385, 2463, 1864, 1586, 563, 6635, 11037, 30885, 1031, 519, 4890, 1893, 540, 519, 476, 1704, 524, 547, 1118, 519, 1404, 26723, 839, 4601, 8076, 1498, 1010, 8247, 949, 581, 547, 16616, 519, 3441, 2944, 676, 1728, 3122, 673, 543, 3765, 7666, 3660, 6392, 5515, 547, 688, 20439, 9601, 1282, 519, 544, 764, 14390, 344, 5736, 540, 13314, 538, 519, 476, 4198, 271, 781, 267, 646, 5036, 1010, 6429, 538, 519, 942, 540, 519, 269, 5213, 1405, 2731, 917, 1946, 519, 27241, 568, 11331, 519, 27241, 1810, 1405, 5855, 267, 649, 2811, 1934, 547, 2995, 596, 1946, 621, 781, 899, 602, 2079, 281, 1018, 781, 909, 609, 519, 2140, 1394, 1985, 24076, 538, 713, 1404, 568, 972, 540, 513, 2446, 540, 519, 2262, 27241, 269, 634, 27241, 2079, 5339, 3457, 538, 519, 27241, 13513, 267, 11052, 267, 14336, 800, 1018, 781, 909, 609, 519, 2140, 24076, 538, 713, 1404, 568, 972, 540, 513, 2446, 540, 519, 2262, 27241, 865, 1141, 4010, 1705, 602, 2097, 689, 543, 1018, 538, 519, 1158, 568, 513, 27241, 267, 19037, 269, 5131, 1557, 281, 519, 27241, 676, 818, 11037, 30885, 568, 513, 1404, 2854, 538, 3210, 547, 519, 21340, 1085, 4100, 538, 13314, 538, 519, 476, 4198, 271, 781, 30885, 8359, 519, 27241, 607, 563, 14187, 5439, 540, 519, 27241, 5098, 3948, 585, 2852, 543, 1164, 1153, 519, 27241, 1915, 2079, 519, 3197, 540, 818, 11037, 30885, 781, 519, 27241, 616, 782, 3238, 538, 519, 18338, 6968, 2140, 2985, 15853, 2985, 6169, 15105, 269, 634, 27241, 281, 1283, 4557, 10530, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 267, 2278, 12092, 1344, 267, 1915, 12632, 267, 6249, 2079, 267, 14165, 2079, 267, 543, 1283, 4557, 10530, 593, 5929, 3332, 269, 5131, 1557, 593, 2079, 540, 14646, 605, 2758, 689, 519, 27241, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 563, 26046, 540, 519, 2140, 540, 519, 27241, 454, 763, 1650, 540, 519, 27241, 1557, 2140, 281, 519, 1650, 540, 519, 27241, 519, 1650, 540, 519, 27241, 538, 519, 1404, 267, 519, 27241, 267, 519, 1915, 14646, 605, 551, 518, 2565, 2079, 540, 519, 8405, 331, 864, 2110, 1650, 519, 2110, 1650, 267, 519, 8405, 331, 864, 563, 268, 634, 27241, 910, 519, 2140, 818, 11037, 30885, 15931, 569, 13603, 519, 2140, 519, 27241, 585, 1010, 1404, 827, 519, 2892, 655, 18338, 6968, 338, 540, 519, 476, 14917, 271, 781, 1317, 540, 519, 2262, 781, 1082, 10096, 563, 268, 634, 27241, 568, 513, 476, 1960, 277, 7819, 3140, 12416, 4670, 2854, 676, 818, 11037, 30885, 15268, 1010, 1404, 540, 519, 1482, 2140, 267, 6273, 676, 519, 2892, 655, 31783, 8062, 563, 268, 898, 568, 5497, 602, 713, 3391, 581, 1031, 547, 9148, 543, 8831, 519, 2673, 21849, 2079, 799, 3029, 519, 4493, 540, 6514, 960, 818, 11037, 30885, 781, 1412, 1492, 27241, 262, 568, 513, 24491, 8393, 24457, 995, 12416, 540, 1589, 827, 519, 2140, 12449, 585, 519, 4670, 563, 763, 27241, 21044, 2079, 27241, 281, 513, 4049, 1449, 610, 4693, 538, 1018, 2081, 616, 519, 1004, 540, 2892, 655, 7318, 945, 10596, 945, 14543, 1018, 16431, 616, 7318, 3823, 4984, 543, 5126, 269, 1411, 616, 2542, 7421, 20451, 538, 519, 27241, 1875, 27395, 2079, 540, 20451, 538, 519, 4583, 1433, 519, 27241, 1948, 322, 745, 24862, 269, 3503, 606, 1557, 7234, 519, 4644, 540, 519, 2140, 1018, 568, 519, 27241, 1369, 519, 1404, 543, 875, 1281, 621, 3142, 32173, 776, 2079, 1557, 585, 519, 27241, 9767, 1616, 547, 4444, 1382, 4574, 2228, 938, 4388, 543, 13354, 8039, 786, 948, 596, 16926, 519, 1655, 1957, 5830, 14585, 3419, 632, 269, 1955, 3257, 513, 1915, 2079, 585, 705, 580, 841, 13275, 338, 543, 1775, 991, 948, 4466, 513, 16023, 585, 1200, 1775, 917, 521, 1127, 30442, 267, 6354, 11494, 267, 10795, 267, 31081, 652, 267, 3092, 267, 855, 1775, 991, 547, 1265, 513, 16023, 602, 5540, 519, 4729, 540, 519, 27241, 609, 476, 274, 4773, 540, 21849, 2963, 1775, 991, 1079, 267, 543, 1775, 4312, 2907, 269, 634, 4890, 4729, 540, 519, 27241, 568, 632, 1061, 1947, 2241, 606, 2079, 540, 2101, 3197, 3594, 827, 519, 27241, 519, 27241, 798, 711, 946, 519, 27241, 607, 519, 2140, 798, 269, 3627, 605, 2758, 568, 513, 8731, 7757, 1367, 646, 11099, 1010, 26035, 609, 705, 580, 841, 9048, 1706, 2406, 8697, 1864, 538, 519, 4064, 540, 5601, 267, 1010, 7385, 1714, 9626, 267, 543, 5128, 3020, 267, 533, 269, 0, 292, 30984, 630, 5228, 19967, 281, 15748, 519, 4207, 552, 30984, 7521, 998, 513, 4633, 2016, 693, 519, 2840, 2719, 5069, 23019, 8630, 538, 24469, 269, 634, 552, 30984, 1982, 6719, 538, 1082, 2081, 513, 31667, 531, 585, 562, 21532, 27437, 781, 7766, 1024, 665, 10537, 4507, 2443, 1492, 2165, 552, 30984, 1797, 12777, 1434, 2669, 621, 2356, 4016, 547, 519, 16578, 618, 540, 513, 1928, 1652, 2669, 585, 513, 12225, 1227, 610, 2165, 3373, 2192, 1367, 945, 1131, 6382, 7985, 269, 9291, 544, 826, 327, 6352, 6199, 267, 2528, 31296, 1726, 341, 528, 535, 12000, 582, 614, 607, 1932, 552, 583, 1156, 14901, 543, 952, 596, 723, 513, 2489, 2856, 610, 513, 3896, 602, 1522, 581, 2111, 547, 2285, 803, 513, 2048, 11133, 1499, 685, 2179, 269, 5274, 2924, 543, 552, 30984, 1743, 536, 6929, 3542, 731, 267, 476, 1960, 279, 630, 20142, 536, 6929, 3542, 731, 568, 513, 19622, 16562, 652, 2867, 626, 543, 23080, 14306, 1416, 10629, 264, 519, 1523, 540, 1480, 2924, 267, 6508, 689, 9270, 540, 519, 2470, 540, 18495, 563, 11854, 3663, 4952, 952, 513, 2673, 3448, 540, 16523, 729, 12955, 540, 5761, 2860, 1142, 7362, 789, 3576, 729, 30748, 1944, 1100, 4915, 610, 3075, 1223, 24390, 741, 1928, 269, 661, 30984, 568, 513, 3810, 1950, 3390, 5473, 2352, 2055, 3823, 519, 1909, 540, 2413, 2229, 543, 519, 2924, 540, 1367, 4961, 269, 4653, 1775, 786, 1865, 519, 3390, 540, 552, 30984, 606, 3390, 799, 814, 14324, 938, 2197, 6306, 25432, 543, 13998, 621, 814, 2451, 519, 513, 26894, 2146, 693, 513, 563, 292, 30984, 568, 1034, 1419, 12913, 585, 10130, 676, 13297, 540, 513, 2669, 11897, 1424, 3075, 707, 16943, 949, 17982, 513, 22471, 559, 6500, 1101, 547, 6001, 707, 4620, 269, 3245, 519, 21717, 945, 568, 6998, 1200, 7022, 547, 1450, 1200, 547, 1964, 547, 519, 2635, 4807, 945, 4941, 547, 5884, 609, 1200, 7210, 9393, 267, 1491, 513, 563, 22492, 1867, 782, 3613, 541, 8470, 5172, 30479, 737, 571, 3578, 600, 1067, 5950, 513, 4484, 547, 1010, 11655, 543, 18793, 267, 1896, 4374, 1310, 18460, 2101, 6391, 269, 661, 30984, 10388, 4633, 554, 2675, 7005, 3860, 1603, 281, 10388, 4633, 552, 30984, 4952, 513, 1158, 1141, 4896, 267, 1256, 519, 524, 12350, 569, 2192, 610, 20158, 267, 568, 3362, 19443, 538, 11980, 269, 594, 991, 547, 530, 31095, 513, 4633, 543, 1775, 13603, 602, 1888, 23463, 875, 1058, 1775, 1376, 621, 1055, 922, 2731, 14845, 803, 948, 555, 343, 538, 4434, 269, 661, 30984, 1382, 1957, 676, 31444, 333, 2909, 1091, 24849, 1870, 5359, 10388, 4633, 13181, 4633, 4444, 4633, 4444, 12031, 1557, 3584, 4444, 563, 15761, 847, 338, 689, 713, 3561, 4367, 4737, 6511, 11350, 16555, 910, 4633, 593, 552, 30984, 609, 1250, 4633, 267, 1775, 993, 5466, 606, 5304, 602, 5161, 540, 513, 6404, 2085, 267, 4352, 3622, 1100, 835, 896, 519, 2085, 540, 476, 1240, 267, 543, 6404, 3023, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 552, 30984, 4633, 269, 6206, 2798, 585, 3181, 908, 21528, 11980, 5618, 5758, 540, 7440, 1996, 3656, 1944, 552, 30984, 270, 817, 13554, 11980, 585, 811, 2143, 1344, 267, 596, 666, 979, 547, 4749, 4280, 2055, 610, 4757, 721, 563, 292, 583, 1156, 14901, 538, 31065, 552, 30984, 3006, 267, 1272, 666, 14016, 622, 547, 519, 1448, 1141, 513, 1268, 19380, 741, 15683, 543, 1582, 9113, 1051, 269, 661, 30984, 2165, 4574, 630, 17549, 476, 15150, 6246, 264, 593, 1946, 1058, 552, 30984, 581, 3656, 1242, 281, 621, 568, 7805, 602, 552, 30984, 1058, 581, 15868, 10876, 585, 519, 1739, 4128, 281, 1367, 15698, 835, 521, 19888, 1600, 1928, 267, 7092, 267, 543, 11465, 2165, 1957, 476, 15150, 6246, 269, 1323, 608, 560, 2400, 17609, 540, 4950, 4609, 5627, 6325, 1344, 827, 552, 30984, 543, 4128, 547, 28586, 621, 563, 25324, 24070, 4633, 7291, 1888, 281, 552, 30984, 2433, 547, 2661, 543, 1577, 5884, 2489, 3483, 281, 547, 22321, 1808, 3483, 281, 547, 22321, 1250, 5304, 602, 552, 30984, 1058, 581, 3656, 1242, 538, 4731, 904, 807, 269, 634, 27369, 910, 1394, 547, 1753, 1118, 513, 9295, 24049, 1265, 513, 2816, 6009, 1129, 538, 6085, 2534, 12575, 9043, 4757, 7375, 1689, 10957, 1129, 856, 1250, 2272, 269, 4208, 649, 1058, 1118, 552, 30984, 3656, 7189, 786, 2221, 7521, 519, 4540, 4031, 593, 552, 30984, 1934, 1743, 737, 841, 1662, 669, 663, 6941, 519, 4128, 3297, 1010, 5163, 585, 519, 563, 19530, 762, 4528, 630, 23486, 264, 22344, 1309, 653, 749, 583, 328, 4633, 16472, 630, 4424, 2458, 1231, 262, 4633, 827, 552, 30984, 264, 7440, 281, 29827, 2458, 1231, 262, 4633, 15156, 519, 3656, 1436, 540, 552, 30984, 593, 1079, 1292, 13210, 281, 5191, 540, 3903, 543, 19493, 8323, 540, 1928, 269, 1160, 31547, 7440, 630, 1721, 552, 30984, 264, 666, 3533, 543, 1480, 324, 569, 1439, 513, 3461, 779, 7092, 267, 3850, 873, 547, 5884, 609, 15683, 666, 948, 547, 2110, 523, 519, 16236, 543, 7092, 540, 519, 3461, 779, 6068, 3283, 269, 3367, 713, 1557, 593, 10388, 4633, 281, 552, 30984, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 269, 21261, 894, 1557, 1996, 552, 30984, 4367, 552, 30984, 568, 519, 2259, 540, 22393, 11318, 513, 1268, 547, 22302, 1864, 610, 1200, 689, 2348, 547, 269, 0, 2690, 6502, 267, 2470, 814, 3177, 519, 2564, 2872, 609, 5820, 602, 723, 3532, 15084, 267, 1884, 1047, 10364, 267, 610, 4550, 13611, 3601, 799, 616, 9268, 883, 11955, 267, 1583, 4548, 267, 522, 842, 906, 267, 610, 2603, 687, 563, 20332, 17172, 1670, 2472, 616, 6140, 1336, 538, 519, 1106, 540, 522, 842, 906, 610, 1212, 4461, 267, 799, 616, 3533 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1702, 540, 9568, 6604, 269, 1284, 4061, 2832, 547, 5721, 2947, 4775, 3401, 538, 1142, 540, 519, 476, 13647, 10480, 518, 725, 540, 29117, 12205, 538, 519, 2749, 267, 585, 513, 2698, 540, 827, 476, 7785, 3401, 676, 519, 1439, 540, 16642, 1032, 476, 1001, 276, 563, 3383, 2484, 476, 3192, 4961, 723, 6192, 519, 1576, 267, 543, 519, 1297, 540, 4775, 3401, 814, 2799, 689, 3670, 693, 519, 4098, 547, 476, 5655, 693, 519, 1439, 540, 2063, 16642, 1032, 269, 1284, 20053, 547, 2333, 519, 1297, 540, 4775, 3401, 538, 1931, 547, 6451, 741, 5380, 883, 3609, 4259, 607, 1134, 607, 4052, 27549, 8998, 4238, 563, 2171, 616, 849, 30082, 4687, 938, 2833, 689, 519, 9568, 543, 519, 4245, 649, 4121, 3823, 2021, 779, 7589, 269, 769, 5239, 476, 1001, 273, 267, 476, 273, 267, 1220, 5171, 689, 782, 936, 3567, 10356, 585, 519, 3567, 6468, 779, 10985, 538, 27189, 2967, 543, 9783, 519, 968, 306, 754, 2967, 16672, 892, 799, 7150, 602, 2021, 723, 519, 1318, 547, 6430, 543, 519, 1379, 543, 5539, 547, 957, 563, 13010, 267, 649, 616, 2870, 513, 13186, 10872, 543, 9499, 547, 3895, 2021, 779, 7589, 538, 2146, 9568, 1790, 516, 3685, 2238, 543, 8066, 11925, 538, 2199, 2950, 269, 634, 6468, 779, 15557, 8750, 585, 18401, 689, 519, 4279, 5101, 3567, 32495, 820, 267, 799, 729, 3964, 609, 513, 21856, 689, 16157, 267, 7482, 891, 2238, 563, 2304, 2810, 4656, 540, 519, 2956, 540, 2021, 779, 7589, 538, 3375, 6194, 568, 7700, 547, 606, 2799, 4656, 540, 9568, 6604, 538, 1142, 2199, 2146, 563, 2171, 19775, 513, 13636, 28155, 6261, 516, 3685, 4643, 10452, 2021, 779, 5380, 543, 2799, 519, 1297, 540, 2021, 3401, 3743, 585, 519, 5106, 540, 27549, 18013, 563, 3725, 23428, 547, 5754, 690, 334, 17563, 585, 11059, 454, 18131, 4043, 547, 581, 2219, 540, 607, 519, 23700, 540, 1489, 267, 855, 609, 741, 3742, 7589, 538, 9568, 6604, 267, 649, 666, 3565, 547, 519, 4070, 540, 513, 2922, 543, 9568, 15033, 2528, 563, 763, 10335, 540, 3871, 602, 2021, 616, 5116, 538, 2053, 540, 9568, 568, 606, 3390, 1455, 547, 1312, 2919, 543, 3384, 2477, 269, 14301, 909, 513, 6237, 9568, 1790, 516, 3685, 1544, 267, 2705, 267, 602, 9356, 2021, 779, 5380, 543, 2866, 2021, 607, 2199, 9568, 1790, 516, 3685, 3401, 666, 2087, 891, 3871, 269, 769, 1840, 267, 1813, 547, 519, 5266, 1970, 1942, 540, 891, 3785, 267, 649, 3494, 519, 1761, 585, 18643, 568, 1360, 1164, 563, 30949, 540, 27189, 2967, 630, 290, 5142, 529, 5004, 4972, 282, 13834, 26321, 31621, 8791, 540, 519, 7991, 16457, 13163, 1916, 306, 754, 2967, 13834, 26321, 31621, 7690, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3963, 616, 649, 865, 28537, 609, 25750, 888, 4002, 4728, 476, 1839, 628, 5518, 24068, 9307, 602, 1010, 7245, 729, 30945, 519, 476, 1911, 6377, 6669, 3804, 547, 476, 1220, 2929, 269, 901, 4992, 899, 513, 15112, 11244, 5048, 269, 9701, 649, 581, 10583, 888, 8253, 2731, 269, 9717, 519, 7372, 5313, 1489, 538, 7616, 543, 18374, 19957, 2200, 585, 20491, 2782, 335, 17726, 267, 519, 2319, 25461, 609, 22412, 908, 519, 6669, 267, 1070, 519, 1699, 2157, 540, 12674, 616, 711, 11141, 269, 6423, 513, 3349, 2630, 585, 1239, 607, 540, 476, 1240, 628, 4728, 476, 1708, 272, 912, 15703, 824, 2477, 630, 10175, 1804, 2477, 267, 899, 6628, 264, 723, 2944, 1454, 1732, 960, 593, 513, 3448, 4493, 269, 28993, 267, 513, 2197, 609, 3908, 2200, 855, 31344, 958, 6896, 3782, 267, 729, 2111, 547, 3914, 5176, 519, 1482, 4939, 1377, 540, 12674, 607, 519, 2475, 269, 901, 18802, 568, 1256, 811, 26648, 950, 2921, 883, 2272, 519, 1569, 547, 519, 4890, 10074, 269, 7490, 1353, 519, 3349, 2630, 912, 13126, 281, 4578, 281, 16099, 6820, 2657, 16743, 4741, 269, 15873, 281, 18466, 548, 17755, 31649, 12458, 3495, 657, 454, 4415, 1152, 476, 275, 260, 540, 519, 1158, 779, 2551, 267, 519, 772, 2529, 269, 6589, 585, 476, 2767, 260, 540, 519, 1158, 779, 6669, 2504, 269, 901, 1797, 602, 609, 476, 272, 5479, 13066, 12349, 543, 513, 2551, 540, 476, 20065, 2929, 267, 938, 2197, 814, 519, 1655, 3761, 538, 519, 1158, 269, 1924, 1946, 616, 649, 711, 3056, 538, 12674, 3928, 888, 763, 2626, 568, 281, 10721, 14524, 543, 29904, 6483, 563, 2467, 4667, 547, 581, 2370, 1445, 593, 519, 12366, 1436, 540, 2241, 1184, 31931, 281, 6679, 3108, 540, 12674, 7740, 616, 3927, 968, 321, 5350, 607, 8912, 2223, 972, 568, 513, 10892, 585, 1100, 6879, 3298, 282, 543, 267, 972, 568, 13385, 3919, 3823, 519, 3892, 540, 3063, 10074, 693, 519, 1554, 779, 2673, 269, 1547, 2859, 982, 476, 272, 8536, 1004, 5884, 689, 5046, 538, 519, 2475, 513, 1554, 267, 835, 1131, 1589, 602, 713, 1058, 581, 2614, 547, 1118, 519, 11938, 540, 1346, 5773, 513, 2339, 540, 25932, 10862, 609, 476, 2190, 327, 270, 278, 12674, 7740, 267, 476, 1911, 260, 13345, 540, 555, 31090, 12674, 14569, 543, 2407, 4254, 16478, 540, 782, 2139, 10986, 269, 3502, 2731, 563, 4131, 779, 1491, 519, 7887, 3782, 8502, 538, 4993, 630, 298, 9820, 518, 2776, 2006, 25366, 264, 607, 606, 1383, 269, 1306, 540, 4728, 476, 2641, 560, 789, 4607, 476, 9262, 272, 330, 13066, 855, 7856, 1152, 476, 277, 4343, 330, 538, 8828, 4993, 269, 901, 1570, 3017, 1063, 13066, 4607, 543, 7856, 5666, 547, 3592, 513, 10116, 540, 513, 2929, 1004, 267, 799, 18922, 883, 513, 1360, 1808, 2179, 540, 2729, 4503, 563, 763, 2034, 1966, 568, 29904, 6483, 269, 634, 10074, 1223, 581, 13950, 676, 5215, 811, 4628, 8036, 7189, 543, 11923, 855, 649, 1810, 1406, 1450, 873, 547, 798, 865, 269, 4208, 286, 7433, 1740, 267, 3656, 6054, 547, 581, 3169, 269, 634, 22406, 4320, 540, 1957, 1740, 2838, 689, 4387, 779, 2853, 547, 4218, 3433, 519, 10074, 568, 11566, 269, 1284, 4862, 2047, 689, 7189, 538, 938, 5858, 267, 945, 4941, 547, 17982, 10074, 855, 1287, 5795, 909, 593, 519, 2856, 1310, 7487, 9937, 543, 7366, 540, 3817, 540, 15668, 267, 31254, 5183, 288, 543, 824, 12319, 547, 2689, 609, 3978, 3656, 1893, 602, 3340, 513, 2319, 540, 17864, 547, 1353, 543, 10110, 269, 3776, 2486, 568, 2966, 585, 2462, 1870, 267, 945, 666, 6488, 20679, 540, 17864, 269, 1306, 513, 2486, 267, 649, 616, 1818, 1586, 519, 3903, 602, 621, 568, 1732, 547, 723, 16886, 16513, 1957, 1740, 982, 547, 4688, 2729, 563, 763, 3932, 568, 2241, 281, 649, 991, 547, 2736, 689, 519, 30380, 5858, 540, 3656, 791, 582, 775, 543, 10721, 791, 582, 775, 538, 3782, 269, 901, 568, 4628, 1582, 19899, 21719, 3441, 538, 519, 2796, 540, 519, 3448, 11606, 540, 2200, 543, 10074, 269, 4033, 2477, 798, 621, 1454, 1732, 267, 1946, 666, 1406, 649, 798, 621, 286, 0, 13202, 19258, 2131, 1107, 9147, 303, 1137, 2593, 1107, 901, 1804, 18955, 11127, 568, 1869, 538, 3501, 2783, 5103, 1373, 476, 1015, 267, 4335, 4458, 6040, 256, 898, 568, 1631, 519, 1158, 779, 9510, 18955, 1666, 330, 539, 543, 621, 729, 4362, 538, 631, 3120, 9346, 8072, 520, 29190, 538, 5840, 563, 6097, 547, 519, 4165, 1172, 885, 16958, 267, 519, 11127, 729, 1336, 8900, 543, 6806, 609, 513, 19984, 269, 17497, 267, 621, 779, 7164, 1018, 621, 2899, 8659, 563, 1607, 476, 1015, 267, 4335, 4458, 6040, 11127, 607, 1336, 538, 631, 3120, 9346, 8072, 520, 29190, 568, 1631, 519, 1158, 779, 9510, 18955, 1666, 330, 539, 2479, 4362, 269, 15894, 281, 25463, 643, 645, 9007, 270, 296, 8150, 454, 14722, 798, 711, 1589, 1346, 945, 3812, 519, 1666, 330, 539, 5030, 538, 519, 13946, 269, 898, 779, 811, 2693, 621, 729, 1031, 585, 4859, 267, 855, 1946, 621, 8694, 909, 538, 519, 7225, 6756, 13946, 568, 1869, 606, 3504, 9814, 563, 29605, 689, 519, 11127, 723, 1044, 9916, 543, 3173, 11943, 519, 18955, 11127, 729, 14475, 1472, 476, 1015, 267, 4335, 1296, 3516, 1282, 519, 2776, 6261, 582, 6670, 32665, 1974, 269, 898, 729, 1282, 713, 942, 267, 519, 1158, 779, 1101, 4884, 7603, 747, 334, 7902, 538, 519, 2274, 2779, 1472, 476, 280, 267, 1822, 645, 5861, 563, 22154, 568, 519, 1034, 3078, 6602, 602, 594, 723, 11402, 538, 1250, 1272, 563, 763, 11127, 814, 513, 4390, 540, 930, 476, 10844, 20990, 269, 1284, 798, 711, 917, 2943, 799, 1826, 540, 2030, 729, 1031, 547, 1118, 621, 267, 855, 649, 616, 3168, 883, 621, 563, 4913, 267, 649, 666, 2907, 2161, 602, 1079, 1004, 530, 913, 621, 267, 543, 602, 835, 540, 873, 729, 2451, 26370, 2223, 3220, 269, 670, 2727, 28137, 1767, 1282, 513, 2046, 5618, 532, 693, 519, 594, 8150, 2978, 538, 13243, 563, 19425, 2801, 5505, 849, 4362, 561, 2393, 619, 1185, 1044, 3742, 538, 519, 2673, 25610, 540, 519, 15999, 267, 3504, 11127, 267, 855, 22508, 2299, 267, 789, 11074, 14155, 908, 1175, 1354, 8757, 621, 563, 10527, 15063, 5106, 6663, 693, 5619, 532, 7366, 540, 23572, 538, 519, 7225, 6756, 19164, 547, 10250, 543, 8190, 519, 1884, 1172, 885, 602, 616, 1869, 6456, 972, 1354, 789, 616, 27366, 543, 4421, 593, 519, 4357, 2344, 267, 607, 814, 5949, 538, 519, 2250, 563, 2108, 16391, 545, 2326, 2356, 798, 711, 723, 519, 2702, 547, 7639, 585, 971, 1279, 5712, 2223, 3220, 269, 10878, 4821, 2672, 5287, 1731, 689, 519, 594, 8150, 779, 17667, 7698, 4972, 5143, 634, 13243, 5403, 563, 2108, 4913, 267, 519, 2027, 20296, 2783, 540, 519, 7225, 6756, 19164, 267, 922, 3819, 4365, 267, 723, 4847, 585, 19421, 540, 13742, 547, 2063, 585, 5553, 543, 27453, 3034, 16449, 824, 3688, 267, 519, 24085, 723, 1336, 15998, 540, 20955, 1869, 8876, 741, 6505, 4778, 6580, 1394, 547, 519, 4936, 1974, 267, 2694, 540, 5070, 1023, 267, 513, 1507, 2036, 609, 476, 273, 267, 1822, 4458, 6040, 561, 823, 12758, 1063, 922, 4522, 267, 5452, 267, 543, 4773, 540, 18052, 563, 2710, 17899, 540, 20801, 15998, 689, 513, 13400, 20801, 6580, 1394, 930, 476, 273, 267, 1822, 1296, 941, 849, 11552, 691, 1117, 538, 519, 1101, 6602, 540, 922, 2186, 538, 5756, 563, 8450, 849, 281, 2859, 26337, 5240, 454, 10666, 3368, 540, 519, 1858, 1869, 3788, 547, 581, 23500, 543, 8774, 2417, 1769, 883, 1272, 538, 5840, 936, 519, 1576, 540, 27453, 3034, 24309, 676, 3967, 19258, 2131, 1107, 24606, 2414, 292, 14410, 2593, 1107, 9147, 303, 1137, 2593, 16065, 27752, 0, 288, 1507, 14941, 267, 2523, 513, 13719, 14941, 609, 1152, 835, 2960, 267, 5129, 593, 609, 519, 1688, 267, 543, 2348, 30518, 693, 519, 5011, 282, 513, 4626, 3691, 331, 563, 303, 2075, 15664, 6293, 9967, 540, 513, 1507, 5180, 14941, 609, 4496, 10824, 17332, 538, 922, 26079, 282, 5129, 676, 11495, 610, 24373, 269, 769, 713, 1383, 512, 568, 4862, 30326, 693, 519, 10956, 540, 519, 1292, 23260, 269, 7151, 281, 570, 15939, 1731, 990, 20391, 267, 634, 25326, 28755, 14982, 267, 834, 307, 10517, 752, 257, 7464, 23866, 281, 476, 2764, 298, 1923, 476, 6321, 298, 1923, 6168, 713, 17581, 454, 320, 13719, 14941, 609, 513, 2582, 14941, 3650, 543, 609, 17285, 28283, 538, 519, 5011, 0, 2252, 596, 616, 6236, 3257, 513, 9836, 2689, 610, 13849, 20400, 267, 713, 1900, 8386, 9912, 3391, 6663, 547, 1489, 596, 2059, 519, 1259, 563, 763, 6378, 1198, 2203, 2488, 513, 22051, 3328, 540, 513, 3126, 540, 1353, 9193, 563, 763, 11201, 540, 519, 9193, 262, 13065, 568, 4122, 1031, 607, 1353, 2597, 267, 865, 602, 3677, 2090, 4043, 547, 3565, 811, 982, 4130, 2090, 547, 519, 22051, 3328, 563, 3519, 8019, 267, 950, 2090, 1369, 513, 13849, 20400, 616, 13856, 676, 513, 1360, 1804, 1353, 267, 519, 4681, 689, 4130, 2090, 616, 18374, 16053, 563, 7197, 11932, 267, 519, 6378, 2360, 2203, 17648, 602, 782, 3769, 2090, 8495, 519, 1482, 2551, 267, 946, 519, 1482, 4756, 543, 6364, 8847, 267, 3092, 563, 11266, 3041, 7246, 2488, 5583, 593, 1018, 596, 1058, 1331, 950, 8989, 513, 9836, 2689, 269, 31158, 1578, 906, 543, 22108, 13518, 540, 713, 5796, 568, 1759, 593, 519, 5140, 630, 663, 3573, 264, 5583, 689, 519, 3213, 577, 8735, 21664, 630, 3738, 543, 519, 10418, 585, 17352, 543, 2598, 20611, 693, 3840, 630, 4860, 270, 2336, 300, 9508, 5811, 19837, 10488, 6355, 12020, 9828, 454, 20877, 673, 5758, 540, 513, 13849, 2079, 540, 936, 476, 272, 267, 1822, 2665, 540, 27556, 17271, 533, 2632, 710, 1350, 328, 5448, 543, 824, 12963, 1350, 328, 5557, 267, 538, 799, 1344, 827, 519, 13592, 3238, 607, 1134, 607, 13598, 4093, 941, 30341, 689, 519, 5817, 3119, 3332, 269, 4002, 519, 824, 1688, 267, 9940, 14919, 1239, 3800, 519, 1198, 540, 1079, 5574, 602, 941, 1142, 3379, 1996, 513, 2147, 1852, 1895, 538, 513, 13849, 20400, 269, 2690, 1383, 267, 952, 2126, 589, 543, 2126, 645, 941, 2047, 3379, 5288, 21897, 538, 5094, 13849, 12845, 26087, 525, 267, 649, 666, 946, 891, 1079, 7535, 539, 2164, 547, 1205, 606, 7447, 540, 519, 2360, 540, 589, 5288, 645, 538, 606, 9940, 6476, 607, 1198, 589, 5288, 9255, 2692, 14263, 1198, 645, 5288, 9255, 2692, 269, 3528, 4227, 7379, 291, 547, 5084, 267, 1079, 22533, 2409, 666, 849, 581, 4294, 950, 7379, 291, 568, 2139, 282, 713, 2306, 873, 606, 13267, 3903, 950, 7900, 513, 13849, 20400, 269, 7212, 621, 568, 15007, 958, 5156, 602, 835, 22533, 543, 1079, 22533, 2409, 6556, 2147, 2164, 267, 2487, 2090, 723, 3254, 602, 789, 949, 12212, 1291, 547, 1114, 8753, 269, 4913, 267, 538, 7900, 513, 13849, 20400, 267, 606, 31375, 1590, 1118, 5079, 799, 666, 1860, 519, 2164, 267, 1519, 14045, 875, 547, 3406, 585, 2090, 267, 8939, 2090, 1759, 593, 513, 1305, 540, 6662, 7355, 267, 7231, 609, 18106, 1239, 267, 7421, 519, 1239, 267, 543, 8051, 585, 610, 7446, 711, 547, 2272, 585, 8313, 9186, 269, 10417, 1302, 267, 513, 13849, 20400, 3096, 513, 8579, 1935, 547, 9192, 519, 2164, 689, 2789, 2090, 538, 606, 4674, 547, 2333, 1379, 630, 1478, 1367, 2090, 1070, 2087, 9193, 540, 519, 2450, 540, 519, 1198, 543, 5924, 547, 8207, 10462, 950, 5359, 10990, 12282, 644, 8540, 7125, 1500, 538, 11264, 513, 13849, 20400, 949, 1860, 519, 2164, 269, 589, 13849, 20400, 568, 513, 8579, 7650, 540, 519, 2164, 689, 835, 610, 811, 9836, 8039, 16638, 1840, 547, 3246, 606, 7447, 540, 519, 7164, 1455, 5168, 267, 13849, 20400, 814, 519, 4390, 547, 4334, 2164, 689, 1114, 2090, 543, 2697, 3270, 1851, 1353, 2164, 267, 2959, 540, 24895, 1851, 1346, 2164, 267, 610, 824, 4277, 3347, 602, 949, 2097, 547, 1769, 538, 519, 2796, 540, 2789, 2090, 6993, 1883, 4324, 540, 713, 1935, 568, 519, 30843, 540, 1344, 3056, 547, 513, 2362, 8579, 1379, 543, 811, 7347, 1448, 7447, 982, 568, 2009, 689, 519, 2268, 6508, 689, 1022, 1367, 1353, 269, 7709, 291, 2963, 4564, 6151, 1239, 607, 6394, 676, 519, 1353, 7740, 20136, 11984, 814, 6659, 519, 991, 585, 1114, 13849, 12845, 24608, 2409, 950, 2963, 10282, 568, 5551, 267, 543, 814, 3366, 547, 519, 1646, 540, 835, 22533, 543, 1079, 22533, 2409, 269, 0, 26877, 755, 1674, 540, 519, 20979, 18410, 565, 924, 18463, 267, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8564, 3490, 9424, 692, 263, 274, 264, 30770, 3490, 25317, 692, 263, 275, 264, 634, 829, 15492, 25317, 568, 1384, 263, 276, 264, 20587, 25317, 1384, 263, 277, 264, 3131, 15492, 6697, 5547, 1384, 2304, 5122, 17689, 568, 15951, 476, 6344, 24311, 267, 476, 4335, 26334, 269, 1403, 519, 6453, 4294, 2066, 519, 17689, 568, 7466, 519, 15951, 1871, 267, 12337, 519, 1699, 602, 8928, 998, 519, 17689, 269, 2422, 519, 829, 15492, 1505, 780, 11405, 1384, 763, 829, 15492, 6697, 5547, 568, 607, 5205, 1384, 8110, 15492, 3590, 585, 476, 272, 268, 19569, 355, 27989, 692, 3080, 25686, 11387, 692, 3602, 692, 5353, 3005, 476, 272, 692, 10190, 692, 5353, 3005, 476, 273, 692, 10190, 692, 2108, 272, 892, 1107, 2025, 692, 2108, 273, 892, 910, 1007, 692, 23744, 829, 15492, 2418, 2016, 547, 1776, 3490, 666, 581, 10736, 547, 1007, 3490, 676, 676, 519, 4834, 1384, 2691, 7900, 9273, 538, 513, 1379, 1062, 267, 1169, 829, 15492, 1871, 1590, 581, 10736, 547, 519, 1482, 3490, 780, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 13706, 519, 6697, 5547, 540, 22155, 5219, 547, 700, 309, 2427, 543, 22671, 2427, 3254, 2630, 1384, 31711, 692, 263, 272, 264, 28582, 1042, 547, 700, 309, 2427, 692, 263, 273, 264, 28582, 1042, 547, 22671, 2427, 692, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 16521, 1384, 31863, 3442, 15951, 2418, 607, 3490, 2418, 692, 15253, 1393, 1384, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8110, 15492, 15641, 1734, 616, 1384, 8110, 15492, 6697, 11387, 540, 22155, 5219, 547, 700, 309, 2427, 543, 22671, 2427, 616, 9838, 8206, 2439, 3383, 1384, 8110, 15492, 26169, 269, 595, 19241, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8993, 476, 272, 269, 26169, 595, 19241, 5219, 547, 700, 309, 2427, 692, 8993, 476, 273, 269, 3131, 15492, 26169, 595, 19241, 5219, 547, 700, 309, 2427, 8431, 476, 274, 780, 8110, 15492, 26169, 269, 595, 19241, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8993, 476, 275, 269, 26169, 595, 19241, 5219, 547, 22671, 2427, 692, 8993, 476, 276, 269, 3131, 15492, 26169, 595, 19241, 5219, 547, 22671, 2427, 8431, 476, 277, 780, 14157, 5653, 7939, 568, 3989, 607, 1384, 1103, 829, 15492, 1062, 1384, 309, 21459, 2000, 1933, 281, 2677, 1600, 4452, 6453, 693, 2407, 4452, 269, 898, 949, 581, 3160, 547, 267, 1657, 267, 610, 2630, 15951, 6453, 692, 309, 7224, 2000, 1933, 281, 634, 1100, 4452, 6453, 950, 519, 3119, 6453, 568, 519, 5551, 6453, 538, 1931, 519, 6281, 6453, 581, 693, 922, 5551, 1871, 693, 2407, 4452, 692, 288, 2582, 25686, 22155, 15951, 476, 1220, 10275, 22849, 267, 476, 1220, 270, 6110, 13305, 267, 543, 476, 1015, 260, 2110, 5547, 2746, 766, 269, 30770, 519, 15283, 950, 519, 22155, 568, 4628, 16041, 693, 9322, 21668, 543, 15951, 6453, 476, 6110, 13305, 780, 11405, 1384, 8993, 476, 278, 269, 3131, 15492, 6697, 5547, 692, 305, 730, 6453, 1384, 13553, 776, 2427, 1384, 14157, 5653, 7939, 1384, 294, 692, 736, 737, 309, 692, 2420, 330, 309, 270, 13136, 330, 309, 692, 3199, 300, 22849, 692, 1691, 30515, 13136, 330, 309, 270, 736, 330, 309, 692, 2004, 300, 22849, 692, 1015, 30515, 2004, 300, 22849, 692, 271, 269, 279, 21668, 18848, 3101, 692, 15675, 966, 19668, 538, 11718, 5547, 543, 590, 321, 284, 1911, 300, 22849, 267, 12337, 533, 269, 340, 269, 6697, 5547, 780, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 27989, 692, 16248, 25686, 11387, 692, 3602, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 27989, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 16248, 476, 1839, 10275, 22849, 267, 476, 24833, 876, 270, 28071, 13305, 2981, 619, 4448, 538, 19569, 482, 268, 312, 269, 10374, 2275, 1844, 3726, 1449, 593, 1164, 6453, 2427, 1384, 29991, 519, 829, 15492, 6697, 5547, 540, 519, 22155, 780, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 5416, 264, 4635, 962, 25668, 20884, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 3383, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 6357, 264, 4635, 19569, 482, 268, 3225, 20884, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 3383, 692, 1892, 8791, 476, 273, 269, 277, 543, 476, 273, 269, 278, 267, 2985, 476, 10695, 349, 3445, 267, 28331, 2006, 1433, 692, 1892, 8791, 476, 273, 269, 1015, 267, 2985, 476, 13647, 349, 14138, 267, 28331, 2006, 1433, 0, 258, 1215, 547, 3313, 23451, 585, 1617, 21725, 7533, 936, 18232, 1599, 692, 3674, 972, 513, 2489, 1935, 585, 7829, 519, 5610, 630, 663, 811, 4481, 267, 5466, 519, 7182, 264, 540, 2489, 1617, 21725, 3252, 1519, 513, 630, 20123, 21725, 264, 18232, 1599, 286, 594, 15475, 519, 1034, 2489, 1106, 5654, 899, 6695, 4512, 842, 318, 17682, 3287, 11971, 267, 345, 9385, 23169, 14116, 3287, 11971, 267, 345, 4297, 11459, 11276, 323, 345, 9681, 19284, 538, 519, 2013, 540, 5564, 21725, 29398, 5473, 4144, 2350, 18232, 3252, 267, 621, 4667, 2009, 602, 4470, 593, 519, 1106, 540, 1269, 326, 3287, 11971, 267, 345, 7751, 543, 1269, 288, 8961, 835, 1522, 723, 547, 1689, 519, 7182, 540, 5610, 593, 519, 6967, 29398, 269, 630, 2690, 1383, 267, 538, 602, 2013, 267, 1018, 4523, 547, 519, 7182, 540, 519, 1101, 7533, 952, 519, 18232, 1599, 5654, 899, 4399, 23169, 12169, 268, 274, 343, 7751, 286, 2020, 1103, 1250, 1808, 2013, 267, 594, 723, 513, 1305, 540, 1269, 333, 259, 29398, 602, 1413, 899, 6695, 842, 318, 271, 23373, 18773, 24303, 23373, 18905, 315, 842, 318, 271, 3867, 339, 23373, 18905, 348, 19049, 17353, 18905, 315, 18905, 4153, 842, 318, 271, 3867, 339, 17353, 18905, 315, 18905, 3686, 19049, 17353, 18905, 315, 18905, 315, 18905, 4153, 24126, 315, 842, 318, 271, 3867, 339, 17353, 18905, 3867, 333, 268, 272, 3686, 348, 19049, 17353, 18905, 18898, 348, 31046, 325, 14116, 7268, 346, 339, 315, 348, 9385, 23169, 6262, 910, 575, 7268, 346, 339, 315, 348, 4297, 2330, 609, 3230, 326, 7268, 346, 339, 315, 348, 6661, 339, 23373, 18905, 2389, 17353, 18905, 315, 18905, 15396, 339, 17353, 18905, 315, 18905, 315, 18905, 32757, 24126, 2330, 543, 3230, 325, 14116, 7268, 346, 339, 315, 348, 4297, 815, 552, 13064, 16936, 7268, 346, 339, 315, 348, 14587, 324, 13064, 333, 7268, 18773, 3766, 7268, 346, 339, 315, 348, 4297, 13157, 324, 13064, 332, 6025, 23373, 18905, 2389, 17353, 18905, 315, 18905, 23180, 24126, 14587, 324, 13064, 333, 7268, 18773, 910, 512, 23373, 18905, 1341, 512, 17353, 18905, 315, 18905, 348, 910, 1422, 24126, 264, 6525, 543, 922, 711, 2312, 547, 803, 875, 547, 1935, 713, 780, 12552, 2439, 31171, 281, 2991, 2324, 998, 519, 1101, 19625, 540, 1269, 333, 259, 262, 338, 267, 621, 781, 7805, 602, 519, 2626, 568, 2469, 547, 1413, 899, 3230, 324, 13064, 32508, 348, 324, 13064, 333, 7268, 18773, 2275, 264, 4153, 2765, 18950, 322, 7268, 18773, 2275, 4297, 3867, 263, 333, 268, 272, 8358, 273, 12453, 9230, 333, 268, 272, 8358, 273, 25631, 8203, 273, 4153, 3667, 346, 952, 7684, 333, 20728, 346, 9642, 15732, 663, 3230, 324, 13064, 32508, 348, 324, 13064, 333, 7268, 18773, 2275, 264, 4153, 2765, 26231, 3867, 333, 270, 273, 32710, 18773, 2275, 4297, 3867, 333, 270, 273, 268, 272, 12453, 263, 333, 270, 273, 268, 272, 25631, 263, 333, 270, 273, 25631, 4153, 3667, 346, 952, 7684, 333, 20728, 346, 1256, 6525, 855, 875, 835, 1131, 1205, 689, 972, 547, 1934, 267, 1256, 7646, 569, 22759, 3585, 267, 568, 3564, 803, 780, 268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 609, 31931, 540, 811, 982, 476, 736, 2600, 1185, 1044, 29959, 269, 769, 476, 2735, 280, 513, 3492, 15249, 3859, 1591, 538, 799, 7943, 729, 13671, 5196, 519, 1591, 2627, 676, 1797, 540, 14485, 6913, 606, 4398, 540, 476, 4391, 2600, 19962, 547, 519, 2799, 8515, 540, 519, 6394, 1648, 269, 1635, 8220, 2281, 540, 1114, 15373, 832, 1904, 1227, 543, 30788, 538, 3126, 267, 1256, 2362, 31931, 616, 2009, 267, 855, 693, 2799, 1942, 543, 3773, 6988, 269, 769, 2489, 267, 3859, 2281, 540, 4922, 8795, 31931, 543, 1942, 616, 1631, 2139, 563, 1432, 1500, 596, 1616, 547, 1413, 909, 834, 338, 6897, 1591, 22172, 7490, 2671, 1018, 14281, 596, 1034, 1862, 0, 28049, 5678, 19019, 454, 2026, 513, 4168, 4065, 26323, 267, 649, 1745, 602, 1565, 513, 4914, 1893, 568, 606, 1271, 1259, 585, 1053, 547, 2333, 538, 741, 5692, 16490, 1145, 269, 901, 3947, 873, 519, 2645, 2556, 547, 1599, 1732, 538, 2486, 267, 607, 1134, 607, 5965, 873, 585, 513, 10715, 7029, 547, 2696, 267, 543, 513, 2295, 585, 13485, 563, 22137, 723, 3254, 602, 3450, 5053, 610, 1022, 2034, 1893, 547, 1453, 693, 606, 2038, 2085, 7494, 10607, 741, 8458, 540, 8236, 21711, 543, 513, 5065, 6438, 20020, 269, 1656, 267, 540, 1576, 267, 519, 4324, 540, 2348, 513, 1114, 7828, 689, 799, 547, 2070, 543, 1995, 519, 1158, 568, 513, 8748, 10516, 585, 513, 1126, 269, 769, 1249, 267, 782, 540, 519, 3621, 2963, 2798, 547, 1453, 2348, 4986, 547, 6336, 543, 3388, 547, 2744, 676, 1565, 513, 4914, 1893, 563, 2171, 946, 513, 2101, 25422, 8153, 2780, 3301, 269, 901, 3301, 1982, 18252, 513, 4999, 540, 2592, 267, 1257, 267, 543, 3280, 267, 609, 7411, 2157, 2810, 607, 519, 2875, 22264, 267, 538, 1931, 547, 4001, 1585, 6863, 2474, 543, 21342, 3252, 16022, 569, 267, 1510, 24200, 610, 8144, 269, 634, 3804, 568, 547, 4001, 4654, 519, 1259, 1453, 1451, 741, 1101, 1893, 563, 9989, 3450, 5053, 547, 1453, 17225, 741, 2542, 2702, 888, 288, 5929, 543, 3102, 1353, 3370, 538, 519, 7073, 5678, 4750, 543, 17298, 676, 3220, 269, 570, 5861, 269, 23101, 607, 2038, 607, 476, 2735, 278, 4951, 602, 834, 1492, 3259, 540, 4914, 1893, 1353, 257, 729, 606, 1271, 4756, 538, 17782, 20389, 2773, 269, 634, 5441, 8274, 267, 799, 14721, 8651, 519, 20389, 267, 13847, 513, 8579, 1867, 4758, 1344, 827, 20389, 2773, 2066, 519, 2197, 269, 5729, 1310, 1032, 519, 2164, 616, 2147, 269, 1306, 5063, 607, 476, 1220, 277, 267, 20650, 609, 2185, 610, 811, 1296, 540, 1893, 1353, 30714, 936, 476, 2004, 2798, 2362, 538, 519, 11879, 7335, 3296, 540, 519, 20389, 982, 1346, 945, 1185, 1152, 513, 3368, 1032, 610, 1447, 540, 4914, 1893, 563, 1432, 827, 3450, 5053, 2038, 286, 4804, 513, 2034, 1893, 8325, 839, 513, 1126, 781, 4656, 267, 1983, 543, 6165, 585, 519, 1126, 781, 1101, 1893, 269, 3194, 693, 519, 10026, 1153, 1377, 2982, 519, 1482, 3466, 540, 2362, 1449, 2773, 269, 769, 17039, 267, 513, 1353, 540, 476, 1724, 267, 1220, 3791, 543, 11359, 3446, 1453, 7000, 602, 1453, 945, 1491, 4914, 1893, 5049, 1705, 1732, 538, 519, 2296, 3296, 540, 519, 17039, 9978, 10341, 4530, 982, 1346, 945, 1185, 711, 6594, 513, 4914, 1893, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15703, 2825, 3906, 723, 1572, 593, 519, 3864, 5742, 630, 31323, 264, 547, 3247, 6915, 325, 3241, 9072, 267, 538, 5114, 547, 5571, 16395, 1851, 519, 476, 2767, 4759, 2829, 593, 4808, 585, 519, 2504, 540, 10173, 689, 13947, 269, 630, 546, 11985, 12467, 6944, 9009, 547, 9167, 3853, 267, 6915, 325, 3241, 2504, 1223, 5305, 811, 8511, 9362, 543, 11874, 1860, 2470, 543, 3425, 267, 2825, 15628, 971, 607, 5682, 701, 864, 543, 14886, 540, 519, 3047, 563, 763, 9167, 6663, 547, 6318, 519, 2671, 540, 6915, 325, 3241, 1851, 2698, 4616, 540, 6283, 4492, 547, 4557, 829, 1298, 676, 476, 1708, 271, 563, 27396, 1218, 538, 519, 16395, 2161, 519, 9167, 568, 1869, 547, 1865, 519, 2450, 540, 519, 9806, 538, 3327, 5434, 676, 1210, 6915, 325, 3241, 267, 4304, 1063, 476, 3374, 547, 476, 2004, 829, 1298, 269, 0, 763, 2098, 328, 11986, 11206, 630, 12262, 1070, 1732, 1634, 607, 519, 32760, 11206, 267, 568, 513, 9341, 4104, 2282, 9980, 20623, 2041, 538, 24063, 269, 2098, 328, 11986, 1797, 834, 1478, 326, 3497, 257, 538, 519, 700, 1872, 7701, 1893, 269, 1306, 519, 3959, 540, 519, 24063, 24295, 3194, 4659, 630, 10013, 6020, 264, 540, 9980, 20623, 2041, 267, 621, 568, 6870, 543, 11658, 547, 3621, 1382, 563, 763, 4104, 6227, 606, 1858, 540, 827, 476, 1839, 25614, 630, 7830, 14143, 264, 1985, 547, 519, 2220, 10102, 540, 654, 2967, 5984, 7345, 267, 606, 29504, 540, 8235, 15117, 269, 31418, 1176, 3015, 543, 9256, 1896, 8134, 267, 519, 32760, 11206, 568, 1134, 14018, 547, 519, 1353, 540, 19498, 269, 4340, 547, 519, 11158, 6020, 267, 519, 2450, 540, 519, 1382, 1858, 540, 519, 4104, 568, 827, 476, 1321, 25614, 630, 1789, 14143, 1040, 634, 4104, 814, 513, 3638, 9265, 538, 2371, 543, 29700, 267, 543, 568, 1753, 547, 827, 476, 2412, 2010, 540, 19498, 269, 634, 11158, 6020, 849, 15387, 606, 5521, 10740, 563, 763, 32760, 11206, 568, 1141, 519, 7783, 589, 26433, 17018, 10181, 334, 1101, 3262, 32760, 547, 681, 1127, 639, 3933, 12399, 267, 10825, 593, 1721, 628, 547, 5274, 2142, 902, 563, 20059, 580, 725, 540, 19498, 693, 32760, 3323, 538, 476, 3707, 277, 607, 851, 540, 519, 1353, 540, 1480, 5835, 8611, 693, 519, 14117, 674, 1197, 3194, 4659, 630, 1066, 3139, 5101, 3979, 24295, 3194, 4659, 538, 476, 4198, 271, 267, 543, 1287, 24063, 24295, 3194, 4659, 538, 476, 3192, 278, 1070, 3964, 538, 9980, 20623, 2041, 267, 24063, 538, 476, 4350, 277, 676, 519, 18842, 651, 325, 11839, 7690, 269, 769, 476, 3707, 278, 267, 519, 32760, 3644, 729, 9678, 689, 513, 678, 1127, 639, 24564, 6728, 539, 693, 32760, 269, 769, 476, 3422, 271, 267, 513, 476, 3607, 269, 277, 31475, 516, 630, 6344, 268, 1111, 264, 5374, 13486, 729, 6410, 689, 631, 335, 18553, 11206, 547, 32760, 547, 1353, 519, 7299, 3892, 540, 19498, 267, 3850, 585, 513, 3102, 1353, 540, 519, 18151, 2551, 538, 476, 3422, 275, 269, 769, 602, 1482, 1032, 267, 519, 32760, 3644, 729, 4857, 689, 513, 6394, 589, 26433, 19052, 639, 3732, 269, 3143, 6296, 18151, 10070, 941, 5340, 585, 827, 519, 1985, 2185, 5756, 267, 1247, 1480, 2238, 1958, 549, 3737, 593, 519, 4104, 269, 1323, 8242, 18151, 4015, 6368, 3576, 1747, 538, 476, 1220, 280, 543, 476, 1001, 271, 563, 268, 918, 5417, 636, 4157, 14505, 267, 631, 269, 589, 5919, 631, 1393, 6798, 267, 808, 11607, 303, 5919, 700, 583, 342, 4821, 267, 808, 269, 808, 5919, 16549, 655, 2041, 267, 595, 5919, 13019, 565, 267, 589, 269, 631, 269, 630, 2918, 5412, 476, 1001, 276, 1040, 834, 300, 657, 10181, 3996, 540, 32760, 11206, 267, 24063, 281, 15661, 23531, 543, 28731, 2806, 1495, 766, 2668, 4750, 540, 6481, 9980, 558, 1108, 269, 476, 7906, 630, 272, 2567, 476, 10441, 1700, 13647, 269, 8222, 281, 1015, 269, 8182, 274, 270, 10933, 14338, 7597, 269, 31192, 476, 16573, 273, 268, 28670, 276, 269, 20163, 476, 26727, 4962, 275, 6795, 563, 268, 834, 4910, 1545, 543, 11120, 1988, 2668, 4972, 540, 9980, 558, 1108, 269, 24063, 24295, 3194, 4659, 269, 476, 275, 5988, 476, 1001, 275, 269, 8158, 476, 2641, 4989, 476, 1001, 277, 563, 268, 15917, 525, 267, 11977, 645, 269, 630, 20826, 476, 1220, 280, 1040, 834, 313, 11986, 24295, 31072, 4000, 2668, 24021, 29956, 15302, 269, 476, 1428, 630, 280, 2567, 476, 16328, 278, 1700, 13670, 271, 269, 8222, 281, 1015, 269, 17168, 272, 27160, 573, 5611, 280, 269, 271, 3445, 4510, 273, 269, 31192, 476, 10482, 271, 268, 2568, 275, 271, 269, 6751, 290, 1547, 20163, 476, 3192, 31229, 876, 563, 268, 16299, 267, 717, 15030, 6993, 282, 28881, 267, 590, 12171, 282, 670, 5417, 578, 267, 589, 12282, 630, 272, 5181, 476, 4198, 273, 1040, 834, 313, 11986, 24295, 630, 296, 1040, 1772, 565, 725, 543, 1583, 1670, 23506, 2668, 3690, 13905, 540, 519, 9576, 5980, 540, 23427, 6925, 543, 30719, 269, 476, 5379, 630, 276, 2567, 476, 2004, 280, 1700, 26392, 269, 8222, 281, 1015, 269, 6200, 277, 270, 19740, 276, 268, 280, 736, 274, 263, 7367, 264, 12010, 5655, 268, 275, 269, 31192, 476, 19740, 276, 268, 280, 736, 274, 269, 20163, 476, 15782, 4817, 275, 2412, 563, 268, 670, 5417, 578, 267, 589, 12282, 5919, 13879, 267, 631, 5861, 5919, 8381, 718, 267, 808, 10422, 5919, 1696, 620, 269, 630, 3422, 275, 1040, 834, 23562, 10679, 5248, 725, 540, 32760, 3644, 689, 589, 26433, 630, 17556, 326, 3912, 807, 264, 19052, 639, 630, 763, 2128, 323, 264, 3144, 538, 543, 1657, 513, 24063, 4104, 2668, 28743, 540, 519, 2622, 2657, 9257, 269, 476, 4029, 630, 272, 2567, 476, 6872, 1700, 7597, 269, 6751, 290, 1547, 20163, 476, 16318, 28143, 4817, 563, 268, 31881, 6390, 267, 7638, 517, 3821, 282, 932, 3430, 340, 267, 966, 6359, 599, 27958, 282, 7377, 2993, 267, 14780, 1690, 918, 5919, 1696, 620, 269, 630, 1556, 5988, 476, 1001, 277, 1040, 834, 763, 11944, 540, 1990, 11986, 3644, 607, 513, 2518, 1072, 3354, 3463, 281, 589, 2689, 543, 513, 13618, 3948, 540, 519, 28960, 4785, 4932, 17434, 2324, 6828, 630, 297, 310, 294, 29215, 4750, 540, 6820, 29956, 15302, 269, 476, 279, 630, 272, 2567, 476, 274, 1700, 1428, 269, 8222, 281, 1015, 269, 25148, 274, 270, 6021, 278, 275, 268, 6507, 278, 311, 269, 12293, 9610, 269, 31192, 476, 6021, 278, 275, 268, 279, 2190, 276, 269, 6751, 290, 1547, 20163, 476, 17734, 15946, 4375, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 32760, 269, 347, 0, 763, 8419, 4972, 540, 2657, 814, 4080, 519, 1101, 2669, 538, 8419, 11911, 547, 519, 2220, 710, 2770, 269, 589, 8370, 4458, 2025, 7911, 689, 3162, 8419, 729, 519, 1101, 540, 519, 476, 275, 1704, 4080, 2665, 547, 723, 13151, 3518, 539, 547, 519, 670, 272, 301, 272, 3644, 563, 20776, 613, 517, 4937, 3220, 269, 27118, 966, 3554, 517, 974, 14472, 4080, 912, 257, 4407, 1034, 2665, 540, 670, 272, 301, 272, 2220, 710, 2770, 616, 7646, 267, 972, 616, 17756, 899, 713, 13249, 2013, 269, 13780, 958, 267, 519, 15509, 568, 8989, 476, 3393, 7972, 2404, 609, 2220, 710, 2770, 267, 543, 607, 519, 2770, 22264, 602, 1297, 786, 19890, 4473, 4799, 763, 2622, 2657, 9257, 568, 10912, 519, 3262, 540, 519, 670, 272, 301, 272, 3644, 513, 6855, 267, 2495, 602, 621, 814, 1631, 3262, 1158, 17253, 269, 634, 8833, 540, 519, 2770, 568, 711, 607, 14686, 607, 621, 729, 8385, 2219, 543, 2951, 6840, 1472, 519, 8608, 666, 948, 3247, 519, 6855, 676, 2921, 519, 1739, 15416, 912, 268, 25169, 3946, 4749, 543, 2057, 15700, 707, 4064, 267, 9224, 543, 5023, 563, 268, 3680, 2673, 3346, 609, 1004, 945, 616, 23472, 610, 6382, 2408, 2192, 563, 268, 13773, 1753, 689, 960, 610, 1153, 952, 596, 723, 513, 7929, 4576, 563, 268, 25175, 945, 14659, 646, 610, 1352, 814, 14798, 1058, 1289, 741, 4387, 269, 0, 27751, 281, 513, 1867, 3370, 676, 513, 1153, 610, 824, 9872, 267, 2356, 22921, 1369, 513, 3126, 563, 22998, 1957, 281, 11554, 4574, 2270, 2164, 4843, 676, 519, 2278, 269, 11554, 4574, 2832, 547, 12954, 5717, 1063, 3744, 609, 5461, 6105, 267, 789, 666, 849, 581, 519, 4493, 547, 15476, 4930, 538, 7463, 13746, 454, 8794, 519, 18230, 2551, 11578, 585, 1382, 883, 5619, 12191, 454, 8310, 14842, 4266, 0, 14503, 1662, 11568, 538, 17323, 1546, 1188, 630, 10619, 2187, 8489, 616, 22747, 1034, 2693, 547, 581, 1336, 454, 4002, 519, 6302, 540, 29684, 10824, 610, 1419, 593, 519, 5032, 338, 540, 17407, 610, 2477, 563, 1432, 4386, 693, 513, 16160, 15027, 14345, 454, 763, 1447, 10053, 30173, 12933, 1793, 2354, 896, 519, 18626, 12933, 543, 519, 11508, 2813, 5283, 1206, 519, 4224, 7432, 621, 883, 29351, 267, 799, 22534, 20733, 2509, 519, 2627, 563, 1432, 4386, 693, 513, 16268, 15027, 14345, 454, 763, 1079, 10824, 1847, 538, 6587, 8846, 6028, 513, 1463, 2619, 547, 519, 2627, 585, 519, 29351, 9944, 519, 12933, 269, 901, 23419, 1287, 3579, 338, 547, 1106, 513, 9543, 21758, 25170, 454, 1432, 568, 11849, 2887, 454, 288, 1587, 540, 513, 18962, 799, 666, 3382, 811, 3845, 543, 581, 811, 16160, 2949, 1287, 23419, 1813, 547, 922, 10373, 2597, 950, 538, 2527, 563, 1432, 568, 513, 13104, 18962, 454, 288, 9543, 21758, 18962, 799, 3029, 950, 23419, 694, 10134, 883, 519, 12933, 543, 1287, 19082, 936, 519, 5251, 563, 1432, 568, 513, 12432, 18962, 454, 288, 14869, 21758, 18962, 799, 3029, 950, 519, 23419, 22534, 856, 519, 28188, 543, 1287, 4396, 5809, 593, 519, 19527, 540, 519, 7823, 563, 1432, 568, 513, 1608, 1457, 320, 454, 288, 18962, 799, 814, 513, 1804, 28188, 693, 519, 1283, 1310, 519, 18962, 25540, 593, 3294, 1282, 513, 10795, 20349, 563, 1432, 568, 616, 703, 28424, 543, 970, 28424, 5337, 15667, 7725, 563, 266, 842, 28424, 5337, 15667, 4224, 568, 4646, 950, 29351, 3330, 519, 18962, 3579, 338, 538, 519, 29351, 12068, 267, 2870, 14848, 563, 266, 970, 28424, 5337, 15667, 4224, 568, 4646, 950, 23419, 3579, 338, 3533, 593, 519, 2627, 1310, 606, 20349, 563, 3918, 309, 30990, 631, 5495, 18199, 5254, 269, 670, 5085, 27602, 595, 17955, 29898, 454, 1692, 666, 15027, 26706, 581, 17191, 563, 266, 519, 2627, 3587, 12699, 607, 519, 8375, 29351, 2501, 883, 3346, 609, 621, 630, 17742, 5498, 22701, 12514, 994, 266, 16767, 2049, 1813, 547, 519, 2179, 540, 23419, 3001, 9944, 519, 2627, 630, 572, 1143, 18852, 994, 266, 4439, 2471, 543, 2220, 20635, 2408, 607, 29351, 18616, 630, 339, 2830, 7397, 547, 1294, 952, 9386, 814, 4957, 994, 266, 9252, 2501, 856, 519, 18962, 607, 519, 29351, 18616, 454, 3963, 798, 1004, 2661, 538, 15027, 2127, 454, 266, 15417, 2244, 454, 266, 2799, 9235, 454, 266, 24232, 1648, 454, 266, 3407, 8407, 616, 3812, 676, 22747, 454, 1432, 616, 19020, 4332, 2557, 543, 19020, 2669, 2557, 454, 266, 9197, 8775, 4332, 2557, 568, 519, 9002, 4535, 538, 1032, 829, 8536, 2551, 454, 266, 9197, 8775, 2669, 2557, 568, 7972, 1142, 1032, 829, 8536, 2551, 563, 1432, 616, 2489, 12680, 543, 10867, 9019, 454, 266, 4937, 12680, 568, 519, 5993, 2661, 24570, 829, 8536, 2021, 454, 266, 23862, 9019, 568, 519, 2669, 540, 896, 835, 1032, 31545, 1142, 1032, 829, 8536, 2661, 24570, 454, 1432, 616, 1272, 19104, 543, 4096, 3599, 5223, 454, 266, 1272, 19104, 568, 519, 3328, 14438, 540, 513, 2551, 454, 266, 4096, 3599, 5223, 568, 9819, 1759, 593, 1453, 27160, 1595, 1227, 3742, 563, 1432, 616, 2551, 14829, 543, 2067, 2333, 454, 266, 2551, 2333, 568, 519, 2698, 1293, 540, 1004, 538, 513, 1978, 1858, 454, 266, 2067, 2333, 568, 519, 4332, 2557, 14263, 519, 2669, 2557, 454, 1432, 568, 513, 1480, 2551, 5860, 3815, 454, 288, 3815, 602, 2306, 513, 2551, 2901, 1164, 610, 1970, 602, 568, 812, 13402, 971, 607, 2229, 6617, 563, 1432, 568, 513, 2168, 2551, 3815, 454, 288, 3815, 602, 2306, 513, 2551, 5860, 1164, 610, 1970, 602, 568, 5462, 676, 513, 2197, 779, 2168, 2934, 971, 607, 8323, 563, 1432, 616, 930, 1480, 2188, 585, 513, 1164, 610, 1970, 2551, 5860, 454, 266, 1164, 281, 1434, 2816, 3255, 538, 1630, 4040, 6080, 267, 7123, 2229, 543, 1004, 899, 547, 2661, 2282, 1514, 2516, 563, 266, 1970, 281, 18633, 2229, 267, 3908, 2816, 3255, 610, 789, 616, 693, 2112, 563, 1626, 543, 1174, 616, 1634, 607, 454, 763, 1762, 4096, 1218, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1630, 1961, 8457, 8544, 15879, 454, 825, 1948, 1372, 743, 541, 659, 7776, 632, 642, 7559, 557, 529, 454, 825, 9206, 318, 1260, 5866, 30648, 1729, 284, 271, 1363, 1948, 10922, 476, 272, 454, 825, 9206, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 284, 271, 567, 1948, 3436, 272, 30974, 10922, 276, 454, 825, 9206, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 284, 271, 567, 1948, 3436, 276, 30974, 10922, 1015, 454, 825, 9206, 318, 1260, 5866, 9078, 21789, 284, 271, 1363, 1948, 3436, 1015, 22562, 825, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 271, 1038, 1948, 10922, 476, 272, 454, 825, 9206, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 284, 271, 476, 1948, 3436, 272, 30974, 10922, 275, 454, 825, 9206, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 284, 271, 476, 1948, 3436, 275, 30974, 10922, 278, 454, 825, 9206, 6958, 656, 553, 2742, 9078, 21789, 284, 271, 1038, 1948, 3436, 278, 22562, 825, 9206, 318, 4364, 334, 30648, 1729, 284, 271, 1948, 10922, 276, 454, 825, 9206, 318, 4364, 334, 318, 4364, 1470, 284, 271, 1948, 3436, 276, 30974, 10922, 1015, 454, 825, 9206, 318, 4364, 334, 9078, 21789, 284, 271, 1948, 3436, 1015, 22562, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 271, 1948, 3067, 573, 1228, 10922, 2039, 476, 277, 454, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 271, 1948, 3067, 573, 1228, 3436, 2039, 476, 277, 30974, 10922, 1015, 22562, 825, 1948, 9188, 322, 984, 337, 597, 513, 1253, 4545, 807, 13005, 635, 5866, 544, 9820, 9938, 9874, 454, 825, 5903, 4467, 5866, 284, 1245, 15933, 269, 553, 8266, 4590, 825, 5903, 4467, 5866, 31699, 10857, 10033, 1535, 11971, 281, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 1535, 9984, 583, 559, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 586, 4917, 825, 5940, 4545, 807, 4467, 5866, 284, 583, 559, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 5903, 4467, 5866, 314, 271, 7481, 8931, 825, 1948, 3553, 541, 27089, 1630, 1961, 8457, 16948, 635, 5866, 454, 825, 952, 263, 18850, 4545, 807, 4467, 5866, 27045, 272, 2187, 1038, 9206, 318, 1260, 5866, 30648, 1729, 284, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 272, 543, 5940, 4545, 807, 4467, 5866, 27045, 276, 476, 2187, 1038, 9206, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 815, 476, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 276, 543, 5940, 4545, 807, 4467, 5866, 27045, 1015, 476, 2187, 1038, 9206, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 815, 476, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 1015, 2187, 1038, 9206, 318, 1260, 5866, 9078, 21789, 815, 476, 272, 28329, 825, 1948, 3553, 541, 27089, 546, 553, 1253, 534, 857, 553, 798, 6720, 553, 2742, 454, 825, 30142, 3821, 334, 293, 656, 553, 2742, 17342, 294, 10676, 10947, 303, 3789, 3890, 585, 26415, 538, 1007, 294, 10676, 1805, 919, 2639, 825, 952, 7003, 27456, 657, 3821, 334, 293, 656, 553, 2742, 264, 2652, 271, 2433, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 272, 454, 825, 3116, 281, 3097, 1038, 30142, 3821, 334, 293, 656, 553, 2742, 31699, 10857, 10033, 1535, 11971, 281, 771, 290, 5404, 3287, 11971, 267, 2908, 303, 657, 4917, 1038, 5940, 4545, 807, 293, 656, 553, 2742, 815, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 30142, 3821, 334, 293, 656, 553, 2742, 314, 271, 7481, 1038, 5940, 4545, 807, 293, 656, 553, 2742, 273, 815, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 30142, 3821, 334, 293, 656, 553, 2742, 314, 272, 7481, 13872, 1038, 952, 5940, 4545, 807, 293, 656, 553, 2742, 2525, 271, 281, 3097, 2018, 1948, 1721, 8619, 6060, 9299, 562, 684, 8619, 1583, 1965, 3712, 327, 18480, 3267, 1583, 807, 3352, 632, 679, 4186, 549, 513, 334, 6720, 553, 2742, 454, 2018, 2132, 910, 4200, 3097, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 27045, 272, 2187, 2018, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 272, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 272, 543, 5940, 4545, 807, 293, 656, 553, 2742, 27045, 275, 2187, 2018, 9206, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 284, 272, 825, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 275, 543, 5940, 4545, 807, 293, 656, 553, 2742, 27045, 278, 2187, 2018, 9206, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 284, 272, 825, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 278, 2187, 2018, 9206, 6958, 656, 553, 2742, 9078, 21789, 284, 272, 825, 28329, 825, 1948, 3553, 541, 27089, 798, 1199, 334, 798, 6720, 553, 2742, 454, 825, 6720, 553, 2742, 318, 4364, 334, 815, 1295, 28956, 9928, 1563, 307, 1307, 994, 825, 952, 6600, 656, 553, 2742, 318, 4364, 334, 27045, 274, 2187, 1038, 9206, 318, 4364, 334, 30648, 1729, 284, 272, 454, 825, 8640, 6600, 656, 553, 2742, 318, 4364, 334, 285, 274, 543, 6720, 553, 2742, 318, 4364, 334, 27045, 278, 476, 2187, 1038, 9206, 318, 4364, 334, 318, 4364, 1470, 815, 476, 272, 454, 825, 8640, 6600, 656, 553, 2742, 318, 4364, 334, 285, 1015, 476, 2187, 1038, 9206, 318, 4364, 334, 9078, 21789, 815, 476, 272, 692, 825, 1948, 3553, 541, 522, 27089, 798, 562, 747, 334, 632, 635, 5866, 454, 825, 1948, 2908, 303, 657, 22562, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 271, 1948, 3067, 573, 1228, 10922, 2039, 476, 277, 454, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 271, 1948, 3067, 573, 1228, 3436, 2039, 476, 277, 30974, 10922, 1015, 22562, 258, 825, 1948, 31467, 16948, 829, 14585, 17243, 522, 2039, 632, 512, 16120, 14833, 476, 277, 454, 258, 825, 18559, 284, 271, 454, 258, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 2187, 258, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 276, 2187, 258, 2018, 1064, 19963, 267, 1064, 10734, 815, 1007, 303, 657, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 25680, 7534, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 1965, 20960, 6767, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 952, 9217, 11203, 476, 271, 2567, 1948, 810, 562, 7776, 1130, 324, 605, 1775, 815, 271, 267, 1093, 529, 1609, 7559, 535, 1794, 754, 334, 14255, 8544, 2742, 13274, 3873, 2473, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 16482, 258, 4449, 454, 258, 825, 1948, 3712, 10087, 522, 27089, 14255, 3067, 573, 1228, 454, 258, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 18559, 454, 258, 8931, 258, 8931, 258, 825, 1948, 31467, 16948, 829, 14585, 17243, 522, 2039, 632, 512, 16120, 14833, 476, 1015, 454, 258, 825, 18559, 284, 271, 454, 258, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 280, 2187, 258, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 280, 2187, 258, 2018, 1064, 19963, 267, 1064, 10734, 815, 1007, 303, 657, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 25680, 7534, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 1965, 20960, 6767, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 952, 9217, 11203, 476, 271, 2567, 1948, 810, 562, 7776, 1130, 324, 605, 1775, 815, 271, 267, 1093, 529, 1609, 7559, 535, 1794, 754, 334, 14255, 8544, 2742, 13274, 3873, 2473, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 825, 1948, 3712, 10087, 522, 27089, 14255, 3067, 573, 1228, 454, 258, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 18559, 692, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 1395, 3279, 1319, 10961, 16948, 28099, 8849, 1948, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 258, 825, 1273, 343, 815, 1496, 454, 258, 8587, 20886, 4148, 698, 318, 1260, 5866, 30648, 1729, 267, 4148, 698, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 267, 4148, 698, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 267, 4148, 698, 318, 1260, 5866, 9078, 21789, 2676, 258, 1038, 9206, 6958, 656, 553, 2742, 30648, 1729, 267, 4148, 698, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 267, 4148, 698, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 267, 4148, 698, 6958, 656, 553, 2742, 9078, 21789, 2676, 258, 1038, 9206, 318, 4364, 334, 30648, 1729, 267, 4148, 698, 318, 4364, 334, 318, 4364, 1470, 267, 4148, 698, 318, 4364, 334, 9078, 21789, 14963, 258, 2676, 258, 8587, 1948, 476, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 267, 4148, 698 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 991, 547, 563, 3086, 267, 1900, 476, 274, 267, 543, 5310, 1250, 5172, 1900, 281, 5455, 707, 3940, 6981, 256, 1306, 596, 1118, 707, 17365, 1592, 267, 2119, 547, 8214, 593, 3677, 13980, 540, 3940, 16382, 2009, 269, 7427, 619, 540, 1250, 8631, 2907, 917, 875, 1454, 594, 840, 778, 519, 22258, 540, 3940, 269, 15439, 2322, 267, 950, 621, 2501, 547, 4888, 312, 3804, 267, 2348, 811, 3940, 568, 3592, 2141, 513, 1434, 2856, 269, 1280, 2597, 2530, 267, 4189, 811, 3940, 786, 6633, 811, 8477, 998, 1945, 1634, 607, 519, 5687, 545, 1198, 540, 1426, 269, 26243, 267, 3940, 3217, 811, 1648, 547, 7558, 543, 10110, 267, 3976, 8781, 811, 8477, 3379, 547, 19719, 543, 9600, 269, 19871, 666, 849, 948, 596, 1745, 2407, 18334, 6730, 585, 3476, 269, 2290, 1353, 1256, 1336, 5396, 31380, 4389, 741, 1426, 6981, 676, 476, 24496, 8477, 1175, 676, 4189, 811, 3940, 1101, 256, 570, 871, 593, 519, 4324, 540, 8497, 543, 2679, 10709, 2527, 267, 543, 596, 666, 1294, 519, 6207, 5863, 1145, 540, 811, 3940, 563, 2710, 707, 28491, 2507, 543, 707, 17666, 256, 9315, 1470, 814, 2141, 1044, 512, 719, 539, 607, 5990, 968, 7076, 2530, 892, 1907, 267, 855, 621, 779, 15319, 569, 15877, 835, 1883, 3815, 602, 1152, 4187, 2866, 666, 1683, 281, 2679, 4887, 269, 2986, 1576, 267, 950, 1004, 1589, 540, 9561, 2597, 267, 4887, 1419, 568, 711, 513, 1883, 10862, 269, 1937, 572, 2943, 267, 930, 723, 513, 4990, 540, 20772, 602, 596, 3580, 1439, 909, 3168, 10839, 968, 2023, 539, 892, 1310, 596, 8774, 2476, 519, 4494, 540, 3170, 676, 3257, 28491, 269, 10251, 267, 28491, 786, 1152, 948, 609, 3170, 543, 2597, 2530, 543, 596, 2461, 2965, 693, 1981, 540, 700, 5308, 5058, 4887, 269, 901, 2898, 968, 2023, 539, 892, 3364, 3884, 1406, 27613, 4755, 269, 2334, 779, 1141, 4187, 2866, 2501, 538, 269, 4014, 711, 513, 1390, 4781, 585, 8781, 3170, 267, 649, 917, 17666, 12035, 666, 693, 2547, 8190, 267, 543, 585, 14987, 267, 1256, 1628, 4887, 1282, 513, 17811, 17211, 269, 1656, 9939, 1176, 267, 950, 649, 798, 645, 30862, 267, 649, 9247, 1205, 1312, 540, 922, 2640, 269, 3194, 814, 1256, 3254, 602, 3170, 2530, 568, 8028, 4753, 299, 2207, 28714, 1256, 2417, 1247, 8497, 610, 2679, 4887, 950, 1312, 616, 2944, 21276, 569, 269, 1924, 267, 1586, 267, 798, 1312, 256, 898, 779, 27613, 581, 4502, 621, 563, 25321, 306, 8780, 7728, 543, 13698, 2316, 7728, 269, 1703, 2731, 7948, 1406, 581, 4376, 3116, 1934, 269, 634, 3105, 3268, 616, 7168, 1454, 519, 1283, 4909, 2188, 585, 3811, 2597, 2530, 269, 3767, 267, 621, 779, 942, 585, 519, 2182, 851, 281, 1373, 5812, 609, 519, 3268, 269, 2659, 3804, 1934, 568, 547, 1491, 519, 3268, 543, 25666, 513, 4640, 547, 799, 596, 666, 1655, 15666, 538, 519, 1279, 688, 592, 269, 18641, 267, 891, 3268, 1450, 585, 930, 530, 24513, 548, 4055, 547, 4188, 585, 707, 2123, 13283, 269, 1411, 723, 3681, 538, 2010, 540, 2898, 3536, 596, 1616, 547, 3548, 267, 875, 1279, 596, 1616, 547, 3950, 707, 1426, 267, 875, 1454, 540, 513, 17211, 596, 1616, 547, 2844, 267, 1018, 1826, 540, 3940, 547, 3548, 267, 543, 519, 28491, 543, 4187, 2866, 1982, 596, 1616, 547, 946, 269, 570, 28310, 1472, 609, 707, 3681, 2394, 4466, 1945, 596, 666, 5781, 2844, 269, 4495, 596, 798, 267, 581, 3461, 609, 707, 6788, 269, 5457, 267, 596, 2461, 3843, 547, 3768, 334, 1296, 543, 1296, 540, 2597, 2744, 543, 4057, 6208, 269, 12315, 621, 3275, 267, 513, 2898, 1032, 1256, 267, 547, 1294, 519, 2164, 602, 596, 1616, 269, 1656, 849, 267, 581, 3461, 543, 1620, 540, 3054, 269, 4014, 4657, 6208, 568, 513, 2352, 4305, 267, 972, 786, 581, 2395, 602, 616, 1175, 811, 2352, 547, 581, 5812, 982, 1866, 269, 589, 2370, 3787, 540, 18656, 10885, 568, 5386, 269, 3143, 835, 779, 3501, 476, 2190, 270, 278, 269, 1403, 596, 1175, 1616, 547, 2972, 930, 10217, 267, 1287, 979, 585, 621, 267, 1175, 711, 1932, 1454, 269, 1403, 596, 723, 513, 16314, 596, 1616, 547, 2972, 267, 1287, 2972, 621, 267, 1175, 1118, 909, 585, 621, 950, 596, 1205, 1394, 269, 2107, 267, 1175, 3398, 621, 543, 1174, 621, 3580, 1175, 1491, 513, 3787, 3476, 547, 1205, 547, 1141, 596, 1616, 547, 581, 269, 11088, 267, 11007, 267, 585, 1034, 2395, 267, 543, 9639, 267, 4019, 602, 547, 707, 3268, 267, 543, 596, 3580, 581, 1134, 593, 707, 1259, 563, 27028, 5193, 569, 3025, 6499, 547, 6336, 513, 1906, 9424, 540, 2597, 269, 4270, 267, 5176, 782, 543, 31914, 787, 269, 1656, 17831, 616, 267, 596, 4076, 13986, 707, 1688, 593, 11108, 2597, 2530, 2553, 267, 543, 513, 1360, 1434, 7274, 540, 596, 4076, 3893, 4092, 2360, 267, 2705, 267, 519, 11566, 5354, 267, 796, 331, 3089, 1176, 267, 723, 711, 563, 5804, 12394, 11326, 971, 1970, 2275, 16808, 267, 1100, 2275, 16808, 267, 1100, 3170, 267, 7050, 9600, 267, 1164, 3940, 267, 12779, 334, 267, 1858, 267, 27520, 543, 1256, 952, 621, 13352, 707, 5672, 4592, 547, 3824, 20535, 476, 273, 6980, 513, 1554, 267, 476, 274, 6980, 606, 12784, 267, 476, 277, 6980, 267, 476, 1015, 6980, 267, 476, 272, 7594, 267, 711, 10438, 693, 3781, 267, 1631, 711, 3824, 20535, 1369, 519, 6640, 267, 610, 3824, 20535, 14724, 513, 2318, 942, 269, 634, 4641, 568, 267, 596, 4076, 3893, 4440, 25356, 707, 2247, 689, 1175, 7446, 513, 2597, 2530, 1544, 543, 25356, 707, 1560, 689, 12394, 621, 563, 2080, 596, 616, 267, 1869, 519, 1482, 25447, 596, 267, 1100, 2597, 2530, 267, 543, 581, 25442, 267, 596, 7654, 1256, 4465, 930, 811, 737, 3342, 563, 3383, 267, 1018, 779, 519, 4308, 888, 301, 823, 569, 267, 4352, 594, 5143, 596, 602, 621, 568, 607, 2653, 607, 1648, 538, 5288, 269, 1648, 856, 267, 3548, 1454, 1447, 543, 1847, 811, 267, 2436, 596, 3858, 609, 803, 610, 711, 267, 972, 616, 1082, 9073, 596, 616, 2693, 1818, 950, 3168, 547, 8774, 6550, 563, 1103, 2013, 596, 4941, 547, 1118, 1978, 519, 1985, 942, 596, 1780, 593, 513, 2732, 1544, 267, 2161, 267, 899, 267, 1318, 1631, 267, 621, 568, 1164, 7779, 547, 1832, 2476, 689, 1818, 891, 476, 276, 28125, 2597, 2530, 9073, 563, 308, 526, 1573, 26305, 875, 513, 1434, 4308, 596, 1821, 712, 912, 288, 2863, 20289, 2220, 8986, 602, 1352, 779, 1044, 3824, 20535, 519, 1688, 5006, 476, 1911, 271, 8477, 513, 1554, 10790, 311, 269, 1717, 267, 585, 930, 2601, 267, 1352, 779, 18562, 1631, 711, 9561, 2597, 269, 1924, 267, 1018, 3947, 286, 12085, 616, 267, 589, 2863, 20289, 568, 513, 561, 3511, 269, 1656, 621, 568, 1100, 13337, 540, 1200, 1360, 1378, 824, 982, 2596, 1480, 15859, 563, 763, 3815, 568, 602, 3425, 2356, 30391, 519, 7274, 540, 1648, 789, 3548, 269, 589, 723, 513, 1413, 693, 4092, 602, 3425, 896, 516, 19959, 519, 2647, 3099, 540, 8477, 789, 17696, 909, 609, 519, 5351, 540, 607, 513, 1390, 4308, 607, 476, 2004, 10065, 589, 2863, 20289, 3081, 1352, 779, 10438, 513, 8536, 1648, 267, 2705, 267, 621, 568, 4440, 4724, 476, 1220, 271, 563, 3383, 267, 707, 2298, 914, 568, 547, 7048, 593, 707, 8477, 267, 2705, 267, 1577, 779, 3398, 621, 267, 621, 779, 711, 993, 6748, 2348, 547, 1353, 519, 6003, 540, 1169, 6171, 543, 7893, 707, 1426, 269, 1411, 2461, 2362, 1055, 519, 946, 540, 513, 17811, 10203, 813, 610, 4950, 3135, 602, 786, 948, 596, 798, 621, 563, 26364, 5896, 267, 621, 779, 711, 2356, 4977, 267, 855, 9748, 1732, 982, 2348, 547, 798, 621, 676, 8885, 563, 30342, 8078, 730, 547, 9096, 707, 6676, 912, 2252, 596, 2461, 1945, 899, 8885, 543, 1810, 1406, 1616, 547, 3653, 1426, 267, 596, 2461, 2469, 547, 9096, 519, 30810, 593, 707, 6676, 269, 2991, 782, 267, 596, 4137, 9157, 547, 2990, 6980, 593, 602, 6676, 267, 543, 519, 10700, 2460, 596, 786, 798, 568, 12235, 621, 2476, 267, 3592, 899, 18530, 2476, 6666, 563, 2252, 596, 2461, 3152, 899, 803, 267, 3335, 972, 568, 5310, 513, 25261, 610, 2451, 267, 610, 513, 2582, 6177, 13617, 610, 16741, 20105, 267, 865, 602, 596, 3352, 1674, 958, 1217, 3054, 267, 968, 30524, 7654, 607, 23182, 3274, 1821, 712, 621, 563, 1607, 4386, 513, 2603, 267, 899, 1169, 1554, 267, 7488, 540, 875, 8937, 1532, 755, 532, 2407, 596, 616, 269, 1656, 621, 849, 1797, 676, 324, 547, 2597, 5786, 13821, 563, 3383, 267, 547, 29260, 713, 267, 596, 2901, 2061, 3824, 20535, 11613, 2899, 596, 1745, 19914, 610, 4444, 4130, 10824, 269, 16319, 29749, 267, 855, 621, 1568, 563, 2467, 779, 513, 2898, 9504, 2985, 1572, 519, 968, 22102, 518, 17934, 7747, 267, 13296, 621, 4957, 883, 6029, 602, 1210, 476, 1015, 20878, 8006, 10824, 538, 13283, 547, 476, 1321, 6279, 4389, 519, 2039, 540, 6980, 1480, 7919, 17696, 1510, 7133, 2407, 1145, 610, 12257, 269, 2372, 924, 546, 7568, 3579, 563, 2710, 532, 20099, 344, 267, 23413, 1190, 267, 20113, 267, 17224, 11131, 543, 13379, 13809, 912, 5445, 4122, 1847, 1688, 538, 1688, 267, 2705, 267, 991, 547, 873, 888, 25205, 1470, 267, 2110, 585, 9025, 5751, 547, 2253, 609, 729, 1031, 547, 6133, 513, 1072, 2295, 269, 1717, 267, 609, 519, 16057, 19876, 540, 7098, 984, 923, 267, 621, 2968, 519, 8912, 4480, 538, 2597, 5786, 563, 4913, 267, 621, 3217, 782, 519, 942, 547, 798, 269, 27009, 3486, 267, 942, 568, 2724, 267, 865, 7836, 606, 5662, 547, 6633, 476, 274, 547, 476, 6110, 8477, 568, 1175, 1631, 711, 4502, 513, 1247, 563, 17746, 656, 28029, 787, 28491, 267, 8537, 540, 28185, 3101, 593, 513, 25500, 17524, 267, 568, 24215, 32462, 267, 16625, 267, 543, 621, 779, 1175, 1100, 3476, 993, 6748, 585, 1034, 269, 901, 1797, 1082, 1004, 786, 13604, 3247, 563, 3383, 538, 13283, 547, 796, 15517, 532, 3054, 609, 27615, 9934, 1279, 2914, 14800, 20659, 267, 596, 666, 2119, 1945, 1572, 1164, 3829, 524, 1982, 1893, 1974, 18375, 269, 3143, 3476, 1152, 1281, 621, 6633, 1648, 543, 1256, 3895, 4887, 2679, 267, 855, 621, 1281, 10123, 621, 538, 3368, 519, 942, 607, 2757, 20659, 786, 1491, 563, 19185, 6619, 547, 4539, 1932, 3432, 344, 912, 2791, 949, 9684, 519, 2923, 585, 713, 835, 269, 2060, 971, 513, 2603, 540, 865, 3146, 31084, 547, 607, 8516, 14078, 543, 1582, 3491, 13094, 1072, 968, 23024, 1206, 892, 782, 9621, 602, 596, 1223, 6336, 1945, 899, 476, 736, 6550, 538, 476, 736, 2395, 267, 972, 779, 1100, 2243, 602, 3425, 786, 2253, 547, 2015, 602, 621, 666, 581, 2944, 563, 301, 823, 569, 267, 621, 666, 581, 5645, 856, 267, 2705, 693, 519, 1942, 540, 707, 8723, 1072, 998, 28142, 8324, 602, 707, 7406, 16858, 269, 3958, 267, 1247, 21177, 2597, 865, 15186, 267, 707, 7406, 568, 2469, 883, 6668, 7154, 543, 24515, 547, 8190, 1142, 2582, 9600, 685, 11140, 621, 666, 267, 1818, 621, 27162, 615, 547, 6633, 3170, 563, 4002, 1283, 540, 713, 267, 513, 1413, 693, 4362, 602, 1369, 519, 4583, 7641, 11685, 4159, 267, 968, 1492, 4102, 11968, 518, 2223, 538, 799, 16311, 1218, 14526, 547, 6336, 519, 1034, 2597, 538, 513, 1507, 2179, 540, 942, 267, 930, 16311, 1218, 8694, 909, 1036, 8724, 782, 519, 2597, 789, 3765, 31419, 609, 513, 1906, 1256, 11543, 3152, 269, 898, 729, 3254, 602, 713, 4957, 1813, 547, 741, 21828, 10894, 13927, 4625, 1835, 4770, 563, 7312, 1101, 11665, 914, 568, 547, 9496, 585, 811, 610, 1447, 476, 272, 547, 1079, 6550, 1169, 3018, 610, 827, 476, 1015, 260, 540, 707, 4098, 2597, 538, 476, 277, 3275, 563, 3519, 31844, 1932, 1454, 8631, 2786, 2476, 912, 19185, 547, 6336, 2597, 568, 3335, 10483, 676, 513, 6727, 8141, 540, 8404, 547, 1689, 707, 2623, 563, 1103, 1896, 8320, 267, 1480, 7919, 991, 547, 14595, 811, 982, 835, 4356, 269, 1656, 1247, 789, 2119, 547, 798, 621, 267, 789, 1332, 547, 581, 17528, 782, 693, 2899, 269, 667, 549, 6137, 2597, 3294, 568, 513, 2789, 19229, 3787, 4657, 4480, 563, 28848, 1447, 568, 513, 4356, 269, 4518, 719, 3152, 568, 513, 4356, 269, 769, 7465, 532, 3152, 1216, 568, 513, 4356, 269, 1261, 1188, 267, 1256, 10203, 707, 8477, 568, 513, 4356, 269, 1733, 12241, 596, 2119, 543, 798, 782, 540, 713, 1510, 8488, 267, 621, 4991, 9157, 547, 1246, 998 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 31336, 4252, 910, 634, 7216, 17963, 692, 8702, 547, 938, 3460, 998, 942, 607, 649, 2263, 875, 14912, 729, 5129, 538, 922, 9998, 2395, 256, 7043, 1354, 519, 1614, 15304, 1899, 267, 1793, 600, 546, 6064, 733, 3949, 267, 543, 1164, 24289, 14229, 5474, 267, 972, 941, 930, 1360, 1114, 630, 663, 2706, 4277, 14386, 3652, 602, 18170, 713, 5863, 7328, 269, 1924, 1577, 781, 4685, 883, 519, 1259, 25746, 3684, 543, 2638, 856, 1018, 1500, 1346, 2025, 523, 2395, 865, 2027, 2439, 6637, 476, 272, 281, 3212, 778, 645, 2532, 1115, 543, 17502, 1356, 645, 8712, 454, 14343, 7042, 12441, 596, 917, 602, 950, 14912, 1101, 3323, 267, 789, 4769, 1405, 1256, 946, 513, 11876, 641, 286, 962, 788, 267, 3079, 540, 2221, 781, 10538, 678, 15501, 609, 562, 14125, 24437, 267, 789, 1031, 890, 778, 30504, 256, 1656, 7058, 1018, 789, 8929, 693, 873, 609, 286, 3502, 513, 3579, 267, 2688, 13402, 1975, 531, 3429, 3440, 855, 513, 2834, 13558, 3440, 256, 2052, 596, 4952, 4730, 513, 3014, 1141, 18176, 5921, 2576, 1185, 547, 18214, 909, 543, 3165, 519, 3440, 856, 1310, 1169, 1448, 286, 2334, 781, 4010, 1018, 5949, 1394, 1287, 780, 2162, 3848, 476, 273, 281, 3143, 667, 1026, 17331, 31841, 2080, 2501, 1776, 8710, 518, 1107, 666, 596, 3494, 602, 546, 1026, 17331, 7012, 1405, 4847, 538, 519, 3312, 4528, 540, 14912, 286, 24812, 1223, 1152, 1491, 476, 274, 3268, 1310, 20414, 519, 3440, 1354, 8429, 610, 15246, 269, 1403, 789, 4941, 547, 1847, 1472, 267, 789, 2877, 547, 22141, 593, 835, 3723, 1247, 8066, 519, 3440, 269, 5994, 3843, 547, 1205, 2250, 707, 18545, 1210, 1175, 30809, 543, 535, 1389, 256, 13185, 827, 4101, 13718, 2971, 3848, 476, 274, 281, 2290, 7435, 267, 7490, 2439, 3086, 12997, 267, 3214, 1451, 1312, 2451, 26370, 543, 1318, 26370, 2482, 5725, 689, 1554, 835, 269, 1809, 1705, 596, 917, 602, 1394, 538, 519, 1554, 267, 782, 15833, 1185, 547, 581, 3144, 609, 1175, 21450, 1688, 286, 5565, 26370, 1305, 15833, 14201, 1405, 5189, 2394, 1454, 2663, 269, 901, 1797, 602, 952, 596, 4941, 547, 9496, 936, 2576, 26339, 267, 596, 2731, 1185, 547, 7914, 1164, 543, 8831, 707, 6186, 2439, 7462, 3848, 476, 275, 281, 28038, 519, 4911, 787, 11831, 2439, 1607, 1522, 3280, 21173, 267, 855, 3251, 609, 721, 1934, 269, 5457, 875, 4505, 649, 14437, 827, 875, 16246, 561, 5417, 619, 547, 23074, 519, 3440, 729, 851, 540, 519, 3014, 286, 4270, 267, 3006, 4715, 2209, 3893, 13110, 540, 7996, 543, 4956, 547, 948, 856, 676, 18530, 8726, 3615, 789, 1185, 13561, 693, 519, 4057, 18560, 12758, 3330, 519, 21799, 609, 519, 11127, 256, 17652, 2614, 267, 25696, 2219, 267, 834, 20756, 267, 1946, 1810, 1405, 649, 2285, 873, 1945, 2571, 2943, 19756, 547, 12235, 8119, 4935, 3357, 827, 519, 1412, 17951, 787, 11831, 10086, 849, 1634, 607, 513, 4915, 3440, 269, 898, 7012, 1405, 1279, 1354, 5716, 7691, 602, 2348, 14220, 11084, 16207, 693, 873, 7012, 1405, 1932, 1187, 267, 865, 789, 3459, 16459, 4890, 24437, 3544, 519, 890, 778, 30504, 780, 30607, 3848, 476, 276, 281, 2913, 781, 7591, 2368, 595, 720, 11831, 2439, 5331, 4730, 14912, 11303, 676, 513, 5832, 3095, 20545, 7555, 3670, 3952, 7381, 269, 16319, 7920, 267, 1318, 286, 8080, 547, 21799, 3440, 256, 901, 14583, 540, 14912, 2968, 2442, 1282, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 2094, 621, 4847, 3756, 547, 581, 4371, 16280, 1510, 4250, 540, 14124, 3959, 269, 9578, 267, 621, 3773, 606, 3063, 4494, 540, 10761, 1813, 547, 922, 20583, 2470, 780, 4517, 602, 6770, 721, 547, 519, 1439, 540, 938, 13858, 7045, 998, 14912, 781, 2250, 256, 2755, 1082, 540, 891, 3652, 723, 4957, 936, 942, 267, 1620, 873, 2337, 721, 5660, 875, 2484, 519, 3014, 814, 2097, 543, 6148, 1256, 26182, 721, 547, 1711, 930, 1007, 23538, 540, 938, 1378, 269, 5808, 6487, 267, 5310, 14693, 1647, 30595, 786, 14952, 693, 519, 834, 534, 2615, 257, 3652, 649, 1404, 676, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 276, 6196, 6874, 830, 344, 16390, 11846, 9701, 20780, 7982, 8056, 2664, 2299, 454, 12024, 513, 1490, 520, 1399, 4819, 22551, 532, 834, 6124, 4341, 256, 1715, 4341, 10590, 8164, 1945, 4523, 602, 646, 3085, 1405, 899, 267, 5026, 682, 8046, 2648, 4986, 811, 982, 4657, 741, 3652, 269, 15394, 891, 616, 5634, 17408, 6545, 267, 899, 13836, 781, 1007, 835, 3766, 877, 1404, 4752, 547, 3313, 799, 8187, 9315, 2319, 4422, 593, 547, 6336, 1996, 18825, 1732, 267, 610, 14912, 4657, 922, 5685, 1023, 3898, 547, 2327, 811, 2951, 267, 1317, 621, 7140, 856, 519, 1483, 23594, 1222, 568, 519, 8823, 519, 5716, 1118, 1927, 593, 519, 4155, 563, 5472, 2413, 2242, 267, 19890, 267, 616, 2901, 827, 1818, 1919, 10930, 610, 1818, 811, 2724, 585, 1004, 945, 5749, 1405, 721, 267, 799, 15069, 1281, 4986, 538, 519, 4287, 540, 1818, 1919, 4277, 269, 1677, 798, 602, 267, 649, 991, 547, 30603, 519, 2250, 4534, 519, 32219, 267, 29695, 267, 3458, 14954, 5346, 2250, 269, 634, 2038, 2395, 540, 605, 5026, 1185, 930, 540, 519, 1034, 19278, 3652, 16697, 762, 267, 543, 8744, 873, 1394, 1131, 23906, 1156, 909, 605, 3440, 7829, 16074, 563, 289, 21488, 4252, 538, 513, 595, 720, 454, 306, 599, 32597, 547, 14912, 781, 834, 836, 337, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 9147, 31157, 910, 10289, 519, 2622, 540, 19978, 1401, 1122, 8412, 692, 8893, 476, 272, 281, 1548, 568, 19978, 1401, 1122, 8412, 2496, 5331, 1373, 606, 9125, 6048, 267, 20857, 998, 6106, 540, 1686, 267, 26500, 10881, 827, 1004, 945, 5030, 1279, 3516, 269, 2334, 781, 1018, 621, 781, 899, 547, 1353, 519, 6426, 1210, 608, 1122, 8412, 256, 1401, 1122, 8412, 1797, 5402, 16208, 513, 1257, 676, 3168, 5702, 693, 922, 1913, 267, 2796, 267, 543, 3140, 4282, 269, 901, 1259, 267, 649, 666, 1732, 1174, 1018, 519, 4589, 4941, 547, 2161, 547, 741, 3312, 3988, 1354, 4687, 875, 1346, 6835, 1522, 1869, 4019, 2221, 780, 4131, 781, 2119, 930, 2241, 608, 1122, 8412, 1927, 256, 5994, 707, 3659, 5795, 596, 513, 4484, 602, 1767, 267, 834, 296, 1185, 971, 513, 9240, 990, 344, 942, 16304, 609, 1250, 890, 10134, 19108, 10590, 1411, 917, 789, 4769, 1405, 2965, 1611, 741, 2828, 941, 1500, 540, 3574, 1317, 834, 326, 549, 990, 344, 257, 543, 834, 701, 10134, 257, 5749, 1405, 1031, 12777, 1934, 269, 5502, 267, 891, 1913, 948, 721, 4952, 519, 1187, 5790, 543, 7874, 4606, 3838, 1282, 602, 11018, 269, 1635, 1620, 519, 1893, 2511, 543, 2686, 8100, 267, 596, 1205, 6251, 547, 707, 3659, 781, 5497, 2495, 780, 1103, 13400, 608, 1122, 8412, 267, 5640, 946, 2147, 2994, 547, 4137, 856, 811, 1950, 2152, 899, 21264, 532, 3504, 4654, 267, 9236, 1114, 8747, 540, 27403, 267, 4974, 1141, 543, 1946, 1978, 2984, 941, 2854, 267, 543, 1256, 3695, 9821, 543, 5389, 689, 13400, 2053, 269, 2353, 891, 2645, 2285, 721, 21950, 4030, 883, 2696, 781, 2262, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 1683, 1142, 1895, 609, 2110, 15102, 689, 1585, 16627, 540, 519, 6426, 269, 9105, 873, 547, 5635, 519, 15102, 543, 1865, 1022, 3604, 789, 1265, 269, 3973, 267, 5000, 873, 547, 1589, 827, 2009, 4128, 3297, 1346, 27753, 267, 1519, 8144, 5079, 543, 10409, 4447, 1903, 780, 8893, 476, 273, 281, 9373, 532, 519, 5384, 10724, 1107, 1773, 5217, 3776, 2383, 538, 3778, 692, 3080, 1898, 2460, 540, 13400, 608, 1122, 8412, 3322, 10707, 1394, 538, 942, 547, 1995, 1272, 607, 519, 3312, 5304, 1131, 723, 269, 1284, 1289, 713, 1184, 834, 7290, 5566, 14426, 13865, 1436, 1701, 2913, 803, 2671, 606, 1383, 547, 9414, 713, 1523, 780, 306, 599, 596, 1336, 513, 4063, 6031, 267, 834, 5141, 846, 519, 7450, 9900, 282, 12624, 568, 562, 6260, 1701, 1677, 5963, 5660, 519, 5048, 267, 6616, 602, 596, 2661, 538, 513, 26776, 7622, 609, 3670, 16254, 2337, 1305, 519, 6429, 269, 1809, 4952, 4946, 3877, 899, 621, 1373, 519, 2038, 476, 5197, 271, 338, 267, 8075, 2348, 6094, 6821, 267, 543, 7504, 1286, 17699, 4749, 8429, 3544, 269, 22582, 267, 519, 991, 585, 8425, 30276, 3587, 1454, 20501, 2439, 20118, 267, 1565, 827, 5840, 924, 2528, 267, 4346, 267, 6214, 267, 11585, 267, 4984, 267, 543, 3232, 1272, 27862, 938, 8223, 540, 13400, 2621, 543, 10752, 269, 1280, 3236, 267, 8906, 827, 6694, 2853, 8774, 1769, 593, 23199, 4906, 1031, 950, 6158, 827, 5452, 543, 3771, 341, 3949, 269, 11310, 827, 1920, 3889, 2488, 5813, 883, 1612, 1963, 5473, 3237, 267, 1453, 267, 543, 18472, 780, 12244, 281, 8073, 513, 15415, 6029, 1883, 3140, 19325, 3056, 909, 547, 1271, 8090, 538, 13400, 1686, 269, 11559, 1053, 547, 1382, 3344, 540, 3232, 1272, 1282, 1808, 5712, 267, 9306, 4681, 998, 19297, 267, 1236, 1080, 267, 610, 1019, 528, 24252, 780, 3528, 8026, 608, 1122, 8412, 543, 3140, 14426, 13865, 1436, 267, 1053, 2744, 3407, 1983, 585, 4514, 6278, 609, 3909, 5931, 1247, 5807, 7279, 543, 7071, 585, 519, 3309, 1158, 1472, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 25745, 540, 6428, 14010, 543, 519, 14339, 540, 26198, 454, 3725, 6665, 1746, 19978, 1401, 1122, 8412, 543, 700, 2660, 6377, 12142, 28604, 540, 30037, 476, 1556, 281, 272, 454, 297, 1563, 589, 269, 808, 788, 5459, 267, 834, 763, 25745, 540, 6428, 14010, 543, 519, 14339, 540, 26198, 281, 4860, 529, 1746, 19978, 1401, 1122, 8412, 543, 700, 2660, 6377, 12142, 28604, 540, 30037, 476, 1556, 281, 272, 2437, 16241, 3447, 1807, 476, 736, 267, 1100, 269, 476, 274, 630, 1001, 280, 2567, 476, 10463, 268, 4817, 563, 297, 1563, 589, 269, 808, 788, 5459, 630, 16942, 11333, 2593, 264, 729, 519, 17865, 8235, 5101, 16323, 8689, 540, 12054, 514, 2456, 543, 23941, 950, 713, 729, 3370, 563, 4517, 972, 4927, 2097, 8521, 513, 11425, 856, 540, 519, 6565, 540, 20908, 572, 267, 543, 513, 25032, 4927, 1332, 856, 540, 1010, 5072, 563, 10743, 540, 519, 6426, 538, 519, 8938, 23867, 2540, 616, 899, 513, 8176, 28726, 1915, 2713, 538, 519, 1655, 543, 10782, 540, 2053, 269, 4653, 649, 723, 519, 5413, 540, 5215, 540, 1296, 540, 13400, 2090, 593, 799, 547, 1628, 938, 12496, 543, 24300, 540, 519, 6426, 269, 634, 5250, 540, 2413, 4081, 10459, 27137, 607, 21849, 267, 3140, 267, 2707, 267, 543, 1106, 30852, 267, 547, 2012, 513, 1906, 1765, 1721, 16042, 3504, 5931, 936, 519, 2250, 476, 9873, 1296, 814, 1390, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 5525, 1315, 1401, 1122, 8412, 1299, 19555, 2940, 583, 923, 1315, 8466, 4211, 8590, 12745, 783, 1436, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 3516, 267, 1250, 20516, 729, 15861, 547, 513, 6413, 1310, 9991, 543, 8840, 1200, 12048, 269, 594, 1185, 2141, 1634, 602, 1352, 729, 18979, 569, 4830, 267, 855, 594, 2760, 7691, 1175, 875, 1271, 621, 729, 585, 1200, 547, 2226, 1200, 13190, 2394, 594, 4718, 1200, 538, 519, 6413, 269, 2311, 476, 5952, 1296, 2025, 267, 1352, 729, 1869, 8325, 607, 513, 8214, 543, 6068, 4986, 811, 982, 512, 2056, 547, 1200, 4677 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1796, 585, 519, 29063, 1145, 789, 8149, 282, 1346, 945, 941, 669, 12097, 609, 535, 1722, 538, 1272, 267, 616, 669, 12097, 676, 513, 14495, 12334, 269, 5164, 326, 559, 779, 23475, 28904, 941, 4503, 593, 519, 24434, 540, 519, 853, 344, 343, 547, 1796, 585, 519, 18418, 566, 543, 30608, 11389, 1275, 540, 13587, 848, 563, 8489, 667, 14397, 779, 4503, 20369, 2583, 6719, 1875, 8806, 519, 18418, 566, 540, 13587, 848, 267, 855, 16310, 519, 4986, 1145, 602, 568, 18774, 6902, 1346, 945, 2451, 513, 4986, 1145, 538, 741, 2729, 1141, 5683, 24500, 543, 1434, 1058, 3180, 1044, 1631, 10536, 547, 1402, 3634, 538, 519, 4986, 1145, 540, 20704, 789, 2813, 269, 667, 14397, 779, 18774, 543, 5164, 326, 559, 779, 7201, 16447, 616, 11338, 538, 741, 2489, 5605, 4800, 267, 855, 741, 12438, 1049, 3604, 1397, 875, 667, 14397, 9867, 811, 538, 519, 9525, 540, 513, 4168, 2990, 540, 519, 896, 16447, 269, 634, 30856, 3604, 538, 1312, 14235, 3029, 568, 3361, 676, 519, 17157, 1974, 538, 799, 519, 4513, 14235, 3029, 941, 2854, 269, 5164, 326, 559, 779, 543, 667, 14397, 779, 2542, 540, 18774, 941, 11231, 547, 9290, 875, 519, 7239, 540, 741, 17157, 9763, 519, 1934, 12898, 269, 667, 14397, 1705, 1732, 2390, 5164, 326, 559, 779, 7201, 16447, 269, 769, 1010, 7201, 16447, 267, 5164, 326, 559, 5258, 18774, 883, 1614, 2694, 281, 570, 691, 22654, 267, 661, 569, 338, 1756, 267, 543, 700, 1872, 550, 525, 8805, 328, 267, 543, 8370, 30834, 2888, 968, 2560, 543, 8370, 2053, 519, 5757, 853, 344, 343, 267, 23953, 1063, 267, 32604, 9232, 4586, 763, 1025, 16556, 20369, 2583, 538, 519, 7201, 16447, 616, 782, 989, 3415, 538, 513, 771, 6716, 2213, 2486, 269, 2353, 519, 20369, 2583, 616, 27052, 585, 741, 29063, 1145, 538, 1272, 267, 855, 9039, 616, 5116, 538, 6896, 30834, 2888, 1141, 782, 859, 843, 334, 619, 540, 519, 1482, 29063, 1145, 7985, 1927, 269, 1717, 538, 667, 14397, 779, 18774, 519, 13848, 585, 29063, 1145, 616, 6896, 538, 606, 1931, 569, 1934, 12898, 269, 2353, 859, 843, 334, 619, 540, 519, 1482, 957, 616, 12475, 3293, 1927, 538, 519, 1482, 5858, 540, 18774, 267, 543, 607, 835, 7575, 4514, 883, 519, 2620, 1145, 540, 18774, 267, 519, 20450, 540, 519, 24347, 956, 1996, 2696, 1332, 540, 782, 942, 811, 1799, 528, 1275, 607, 798, 519, 20369, 3832, 779, 20507, 269, 667, 14397, 779, 19449, 3380, 540, 18774, 1142, 1683, 513, 9434, 3239, 540, 1175, 1145, 267, 4481, 4168, 1175, 1145, 269, 18774, 779, 2949, 2168, 4070, 9356, 713, 2219, 540, 1175, 1145, 269, 667, 14397, 27711, 513, 2631, 540, 3617, 1175, 1145, 609, 1142, 1007, 17781, 540, 18774, 281, 952, 596, 941, 7301, 547, 1866, 267, 596, 616, 27052, 13974, 267, 543, 952, 596, 1185, 1044, 10795, 267, 596, 1131, 3180, 1044, 27052, 538, 602, 6073, 563, 1607, 3348, 529, 8864, 568, 513, 31658, 540, 667, 14397, 779, 7826, 3661, 538, 2696, 779, 1175, 1145, 269, 634, 20507, 540, 18774, 267, 1373, 2813, 676, 2696, 267, 1131, 8806, 581, 1175, 569, 543, 1318, 569, 1175, 267, 1169, 3787, 1434, 607, 14436, 540, 1010, 3617, 771, 325, 2948, 540, 519, 29063, 1145, 602, 729, 2944, 538, 1272, 269, 5164, 326, 559, 729, 16310, 513, 2101, 1915, 538, 667, 14397, 779, 5606, 1716, 334, 269, 1280, 519, 1101, 6712, 540, 1010, 3460, 267, 667, 14397, 2877, 513, 721, 615, 945, 6785, 5111, 18774, 267, 5164, 326, 559, 729, 519, 3501, 721, 615, 269, 5164, 326, 559, 1185, 1044, 998, 18774, 1354, 543, 267, 8754, 267, 6785, 519, 8664, 269, 7216, 538, 519, 14235, 1106, 267, 5164, 326, 559, 6645, 667, 14397, 602, 646, 568, 693, 602, 1747, 1317, 24656, 4941, 1864, 693, 602, 1747, 543, 602, 646, 666, 1491, 667, 14397, 8806, 6712, 540, 519, 6073, 269, 630, 5164, 326, 559, 666, 1406, 2097, 538, 24656, 610, 1294, 2696, 1317, 646, 26218, 513, 4984, 538, 2696, 3738, 12287, 968, 811, 17709, 9232, 786, 1491, 667, 14397, 547, 2696, 563, 296, 723, 2938, 4589, 1526, 4902, 713, 607, 17548, 602, 2937, 5256, 779, 2666, 568, 3989, 267, 1247, 2696, 568, 12808, 269, 2494, 779, 2666, 543, 14985, 786, 10536, 1864, 3323, 593, 519, 1318, 6073, 267, 855, 519, 10700, 6073, 547, 2696, 568, 11461, 676, 513, 2362, 1379, 269, 5164, 326, 559, 568, 667, 14397, 779, 8806, 3659, 543, 27369, 6891, 538, 1010, 3460, 998, 18774, 269, 2060, 519, 5351, 540, 5164, 326, 559, 779, 7326, 543, 8480, 267, 667, 14397, 9108, 5293, 998, 519, 2244, 540, 519, 4666, 267, 543, 666, 3136, 593, 538, 1010, 3460, 547, 24656, 269, 769, 24228, 519, 4158, 267, 12779, 1604, 865, 4010, 4330, 676, 5164, 326, 559, 779, 589, 2940, 573, 267, 667, 14397, 538, 835, 6073, 2982, 1010, 2702, 547, 9192, 8106, 5396, 883, 513, 4168, 2239, 1899, 269, 667, 14397, 779, 538, 2620, 1145, 6609, 540, 519, 11768, 540, 18774, 2982, 1010, 2620, 4984, 538, 1796, 585, 532, 519, 4168, 4555, 540, 519, 2063, 6644, 267, 971, 607, 1175, 1145, 269, 667, 14397, 5551, 547, 2981, 519, 1034, 540, 1104, 2609, 538, 519, 7201, 16447, 540, 966, 1120, 559, 779, 22265, 960, 589, 2940, 573, 883, 519, 18774, 540, 519, 4168, 1934, 12898, 269, 0, 8702, 547, 938, 1362, 2985, 2336, 2080, 596, 786, 1265, 1271, 1344, 1519, 281, 7650, 338, 585, 1018, 649, 616, 1565, 267, 29745, 267, 3730, 7389, 1519, 18027, 2395, 543, 2542, 19701, 11974, 267, 5363, 1702, 1319, 338, 585, 938, 3584, 543, 2093, 585, 2085, 3617, 2542, 5931, 563, 5978, 1362, 568, 513, 3575, 540, 5729, 476, 273, 267, 274, 543, 476, 275, 543, 649, 960, 13085, 569, 1927, 269, 1284, 2972, 938, 1565, 543, 899, 547, 1491, 593, 1007, 2591, 269, 1411, 3513, 1265, 1806, 540, 713, 593, 938, 1362, 5816, 267, 1946, 711, 723, 513, 1413, 543, 1265, 856, 1018, 649, 723, 1044, 909, 547, 538, 938, 4928, 563, 10501, 5382, 11137, 4147, 476, 273, 910, 476, 1708, 273, 268, 1708, 274, 454, 15447, 1578, 631, 1846, 910, 4201, 4379, 476, 272, 910, 476, 1708, 273, 268, 1708, 274, 454, 15447, 1578, 631, 1846, 910, 4201, 4379, 476, 273, 910, 476, 1708, 273, 270, 1708, 274, 454, 23210, 1893, 4058, 454, 12218, 476, 273, 20821, 519, 11819, 910, 5181, 476, 1708, 273, 454, 14154, 568, 593, 513, 13628, 543, 11016, 269, 1280, 519, 15489, 2165, 267, 18027, 593, 513, 11016, 585, 1362, 476, 273, 786, 581, 10977, 630, 17413, 476, 274, 270, 275, 1152, 264, 543, 4061, 1453, 786, 2154, 10977, 20164, 593, 713, 1554, 563, 20091, 585, 20167, 5501, 454, 2171, 3494, 602, 621, 568, 1271, 547, 5000, 3025, 547, 1020, 513, 1412, 16908, 17489, 11146, 540, 7335, 23823, 14399, 786, 723, 3255, 2429, 519, 3018, 547, 1412, 1348, 585, 12257, 3299, 865, 789, 666, 3142, 538, 2835, 689, 1753, 610, 10210, 873, 689, 519, 5399, 269, 12989, 616, 513, 1592, 540, 30318, 3367, 338, 585, 5729, 476, 274, 543, 5729, 476, 275, 269, 4208, 711, 4161, 707, 1126, 547, 1224, 873, 782, 936, 519, 1032, 286, 1358, 1522, 1256, 1265, 741, 1007, 19463, 2278, 610, 3605, 741, 782, 6066, 19463, 1433, 256, 2859, 3877, 827, 938, 30318, 3883, 5903, 7420, 3657, 596, 909, 585, 519, 7420, 888, 8450, 2630, 585, 519, 8743, 1606, 19298, 547, 979, 609, 891, 5227, 5931, 543, 519, 2640, 540, 7335, 585, 20167, 5501, 563, 19119, 540, 7335, 585, 20167, 5501, 0, 2704, 25975, 20960, 4302, 729, 835, 540, 1082, 4872, 538, 519, 772, 2529, 269, 547, 605, 8010, 519, 2034, 11728, 538, 5239, 7087, 24447, 685, 4303, 267, 10416, 695, 7342, 519, 2757, 19090, 4303, 11812, 269, 589, 28487, 267, 6896, 676, 513, 2199, 1895, 1572, 634, 4414, 13780, 267, 729, 4371, 538, 25708, 19186, 340, 20960, 4302, 713, 2250, 11728, 543, 936, 476, 7785, 18793, 3576, 547, 519, 10754, 547, 2721, 6284, 547, 519, 605, 17474, 602, 729, 9896, 676, 7027, 5518, 1234, 344, 8493, 684, 334, 1175, 2947, 2395, 1354, 563, 763, 1004, 22415, 1117, 547, 519, 3280, 540, 14941, 20054, 1247, 16069, 693, 11996, 547, 5873, 14376, 10529, 945, 12038, 827, 711, 1152, 585, 519, 13373, 7321, 540, 19090, 4303, 267, 855, 849, 547, 2911, 827, 519, 2152, 6849, 7111, 4892, 538, 1715, 6792, 779, 4102, 2749, 1107, 1519, 6710, 267, 7128, 30468, 267, 936, 6041, 540, 7111, 1004, 538, 519, 2749, 779, 10470, 543, 2816, 16531, 563, 763, 1739, 616, 6547, 689, 1346, 693, 519, 15292, 912, 14881, 729, 14281, 676, 519, 605, 17474, 2223, 1767, 3794, 523, 629, 1695, 6742, 710, 345, 267, 945, 568, 19248, 657, 623, 29301, 334, 543, 18937, 26953, 269, 968, 296, 6557, 15691, 602, 713, 568, 513, 1101, 1900, 2509, 824, 2010, 540, 3609, 2242, 538, 519, 2749, 540, 19186, 340, 20960, 4302, 267, 607, 1134, 607, 519, 1533, 540, 1715, 6792, 269, 898, 779, 5949, 538, 824, 2694, 540, 519, 5375, 25955, 1519, 30188, 4975, 267, 855, 713, 568, 519, 1101, 942, 594, 4076, 2938, 513, 605, 17474, 689, 519, 2749, 540, 19186, 340, 20960, 4302, 3034, 2108, 8624, 3518, 639, 568, 513, 544, 2444, 582, 585, 2494, 28685, 20121, 4176, 2223, 1767, 8751, 3943, 2006, 267, 513, 22255, 1901, 689, 20274, 945, 29084, 538, 19186, 340, 20960, 4302, 269, 898, 779, 1279, 936, 16746, 602, 649, 1205, 7759, 540, 713, 9702, 269, 594, 4076, 1044, 3168, 4464, 547, 713, 585, 513, 1279, 942, 269, 898, 779, 711, 513, 1483, 9702, 269, 898, 779, 1175, 1945, 6837, 5293, 950, 789, 941, 711, 3257, 4376, 3116, 267, 594, 7058, 269, 594, 6557, 10583, 547, 2161, 972, 779, 1100, 811, 19090, 4303, 1934, 538, 19186, 340, 20960, 4302, 3034, 14881, 1131, 899, 547, 5360, 2939, 4975, 7027, 5518, 1234, 344, 8493, 684, 334, 585, 8380, 713, 6571, 1354, 519, 4975, 7027, 543, 1496, 1492, 14643, 7022, 316, 585, 19142, 519, 605, 17474, 2223, 1767, 15196, 324, 700, 5417, 689, 519, 14208, 16644, 6064, 543, 2098, 27376, 11031, 269, 968, 2005, 779, 2312, 602, 519, 7111, 1004, 941, 519, 3312, 11317, 540, 713, 2244, 269, 1284, 941, 1934, 2484, 1354, 476, 14983, 273, 267, 1354, 19090, 3357, 269, 589, 2603, 540, 1004, 616, 8066, 4191, 602, 2161, 2048, 288, 2513, 880, 19090, 4303, 685, 543, 594, 3858, 609, 602, 3034, 14881, 9090, 1589, 621, 779, 513, 1900, 4464, 269, 1879, 3168, 693, 782, 519, 2152, 602, 616, 8345, 1934, 538, 519, 19186, 340, 20960, 4302, 1858, 267, 2523, 950, 621, 2501, 547, 7128, 30468, 267, 621, 2501, 689, 513, 3668, 540, 2686, 8417, 2866, 269, 1411, 2461, 1152, 513, 1587, 540, 707, 3450, 269, 1284, 991, 547, 723, 1732, 2866, 540, 938, 7128, 10492, 1934, 865, 789, 666, 723, 513, 1732, 1620, 540, 938, 2528, 2223, 1767, 700, 5417, 267, 1634, 2066, 4095, 2197, 607, 513, 22299, 4073, 342, 578, 16681, 15854, 1356, 267, 11876, 641, 15854, 1356, 543, 14330, 563, 29467, 779, 513, 7934, 1063, 519, 19186, 340, 20960, 4302, 7128, 543, 4057, 1004, 543, 6805, 1004, 540, 713, 2244, 269, 1284, 26595, 609, 6634, 540, 1004, 2066, 519, 5375, 25955, 547, 13373, 880, 19090, 4303, 2223, 1767, 19162, 6480, 525, 267, 689, 519, 13722, 645, 22364, 13961, 26919, 14316, 945, 568, 513, 25719, 2875, 693, 519, 2160, 540, 1715, 6792, 563, 24685, 1931, 547, 1174, 1459, 1554, 15746, 596, 723, 547, 1174, 1018, 5949, 538, 519, 2250, 2223, 1767, 6742, 710, 345, 267, 513, 7548, 1369, 519, 2160, 540, 1715, 6792, 779, 5441, 540, 4065, 269, 968, 296, 6557, 711, 6158, 827, 519, 1837, 1686, 269, 594, 6557, 6158, 827, 1686, 689, 938, 5711, 5389, 543, 519, 1686, 602, 2501, 689, 7111, 14172, 269, 898, 779, 827, 28160, 1944, 519, 2247, 1848, 0, 20486, 616, 606, 5836, 540, 1702, 267, 2835, 616, 513, 13959, 585, 1272, 563, 20486, 616, 519, 9602, 652, 543, 1034, 3586, 540, 2828, 282, 789, 616, 519, 1034, 3015, 543, 5923, 652, 540, 5646, 8688, 832, 267, 543, 519, 1034, 3461, 540, 3610, 269, 28846, 5261, 18379, 582, 454, 2704, 5336, 27175, 629, 6798, 9335, 6013, 693, 519, 2295, 540, 2025, 20045, 24863, 611, 267, 1063, 620, 7304, 553, 515, 539, 9335, 267, 20045, 24863, 611, 779, 824, 2101, 16050, 267, 543, 519, 8109, 4871, 540, 519, 570, 580, 5142, 5211, 269, 898, 729, 8547, 538, 519, 476, 1015, 628, 2540, 950, 20045, 24863, 611, 7960, 1282, 519, 2806, 21353, 573, 1974, 607, 519, 4102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 519, 7412, 476, 276, 18180, 267, 855, 621, 1131, 10804, 519, 1974, 540, 1981, 585, 513, 21383, 689, 519, 1699, 18180, 2394, 519, 15993, 729, 9516, 267, 9112, 543, 1500, 10512, 267, 799, 1223, 3362, 1491, 811, 982, 476, 1015, 1296, 2223, 5576, 342, 629, 1767, 563, 299, 6347, 21738, 23759, 517, 2274, 6308, 267, 7022, 540, 519, 5358, 538, 519, 5113, 11833, 267, 568, 849, 7255, 827, 519, 4070, 540, 519, 1788, 267, 4250, 532, 621, 1223, 1267, 538, 606, 3282, 21383, 563, 14881, 6557, 7255, 1317, 713, 1544, 1223, 1711, 606, 3282, 21383, 538, 519, 4279, 20463, 2223, 2274, 6308, 1767, 269, 968, 763, 4279, 20463, 616, 29814, 4703, 540, 1216, 602, 616, 1031, 585, 18883, 543, 6704, 1216, 269, 18610, 4248, 568, 4742, 811, 17077, 543, 621, 568, 4742, 5051, 1271, 547, 2149, 938, 15195, 2200, 3034, 13828, 2274, 6308, 543, 5576, 342, 629, 3494, 7412, 476, 276, 1058, 581, 9505, 1524, 18385, 563, 14881, 13948, 1810, 1406, 3494, 602, 519, 2640, 7412, 476, 276, 2488, 547, 519, 1004, 540, 12309, 616, 9170, 2282, 6190, 547, 17854, 519, 1981, 540, 606, 3282, 21383, 689, 519, 18180, 2223, 5576, 342, 629, 1767, 563, 763, 6876, 1063, 590, 5500, 1457, 779, 7245, 543, 2037, 8822, 568, 1543, 1190, 267, 609, 4571, 3410, 12836, 593, 519, 16880, 269, 14891, 1368, 828, 333, 31247, 11134, 717, 4958, 7770, 18724, 1067, 814, 1767, 1352, 786, 9505, 1524, 7412, 476, 276, 952, 11221, 267, 1247, 17044, 1368, 828, 333, 31247, 11134, 9291, 5576, 340, 8291, 814, 31045, 590, 5500, 1457, 779, 1544, 563, 8867, 6308, 8185, 15109, 519, 2825, 3609, 540, 10457, 950, 13359, 563, 2108, 20458, 1689, 543, 824, 2825, 2042, 616, 930, 540, 519, 1034, 1271, 2042, 6849, 519, 1158, 267, 865, 594, 8185, 2015, 1142, 10457, 685, 18879, 593, 2825, 3609, 2223, 2274, 6308, 1767, 269, 968, 23149, 3527, 616, 1390, 585, 4543, 547, 4194, 2916, 1689, 267, 855, 4657, 2825, 3609, 568, 519, 1152, 1259, 547, 723, 513, 8273, 1764, 593, 6061, 891, 2042, 1848, 0, 763, 17636, 936, 1726, 4364, 748, 19319, 568, 267, 543, 2141, 814, 1044, 267, 835, 540, 519, 811, 24819, 4798, 538, 3332, 269, 4107, 971, 2984, 616, 10464, 543, 512, 1679, 267, 2943, 519, 8941, 538, 968, 4517, 12846, 1284, 22547, 892, 798, 711, 2992, 713, 1455, 7678, 563, 2108, 4517, 12846, 1284, 22547, 2223, 2854, 676, 8366, 20421, 11968, 13353, 8648, 19784, 30683, 4856, 7773, 267, 5205, 267, 585, 835, 1153, 1032, 267, 476, 1321, 6505, 267, 1802, 560, 686, 748, 543, 15826, 14038, 538, 513, 3162, 6239, 1164, 1153, 779, 22064, 543, 16805, 1982, 563, 17357, 7773, 6212, 1010, 3007, 593, 519, 20650, 538, 606, 11628, 9255, 618, 2296, 1362, 6026, 676, 606, 2377, 8636, 1229, 4116, 3957, 570, 18223, 9741, 269, 634, 1650, 779, 2239, 10593, 4749, 1063, 9741, 543, 1200, 1053, 269, 2755, 519, 4116, 7959, 8731, 7757, 676, 1200, 2296, 8257, 11381, 267, 1008, 12097, 883, 30380, 12959, 936, 519, 6437, 267, 1200, 10453, 6560, 609, 741, 1378, 811, 13249, 12959, 563, 30469, 14746, 267, 513, 4190, 267, 8626, 27274, 10995, 543, 5260, 11803, 2875, 267, 536, 25555, 1063, 562, 7360, 6536, 5321, 543, 1835, 16244, 3731, 19899, 6479, 6306, 906, 267, 4466, 9887, 30122, 3541, 9229, 689, 1200, 2899, 268, 710, 341, 3386, 2852, 14172, 269, 6271, 5100, 8004, 945, 814, 829, 572, 30099, 998, 1454, 1920, 12416, 3762, 1153, 950, 1352, 3587, 9176, 267, 1152, 547, 2132, 519, 1739, 19496, 267, 5104, 31227, 4816, 4542, 609, 11810, 12596, 269, 2290, 1762, 812, 795, 9116, 11143, 519, 14228, 547, 799, 646, 2899, 20705, 538, 1931, 547, 7118, 513, 2852, 14172, 267, 855, 19380, 11610, 950, 646, 6544, 1161, 519, 10072, 646, 814, 530, 3754, 593, 5128, 563, 4322, 2984, 616, 17680, 6137, 267, 543, 789, 616, 1271, 547, 917, 543, 1174, 269, 18320, 1419, 267, 519, 2923, 20555, 721, 8941, 540, 3162, 6239, 16897, 281, 681, 2086, 656, 15294, 619, 267, 30380, 14228, 338, 267, 29450, 545, 10754, 269, 4856, 7773, 2982, 721, 519, 4126, 602, 2729, 538, 519, 12271, 543, 8186, 540, 891, 1053, 563, 4913, 267, 519, 2278, 779, 9186, 3006, 7679, 31013, 609, 891, 2984, 267, 16297, 532, 721, 689, 519, 6986, 5048, 540, 4126, 543, 6667, 269, 9741, 267, 519, 2296, 4116, 267, 23119, 689, 25794, 543, 513, 12004, 10455, 1950, 267, 1654, 515, 618, 569, 7898, 1005, 1200, 1053, 827, 519, 24279, 1352, 814, 1500, 585, 873, 269, 1809, 519, 3003, 1153, 15109, 9741, 741, 1034, 22064, 4116, 267, 543, 519, 15872, 799, 6086, 5573, 1200, 1434, 10639, 616, 2016, 2110, 695, 337, 3424, 563, 29012, 267, 4856, 7773, 5956, 519, 1650, 607, 513, 5266, 6662, 19784, 543, 7475, 607, 606, 3742, 267, 28450, 16045, 269, 1261, 12990, 11414, 693, 519, 1153, 267, 11479, 9986, 14746, 547, 5480, 23079, 267, 543, 1207, 903, 2472, 602, 9986, 14746, 23619, 269, 9050, 540, 519, 476, 1321, 1053, 609, 7247, 519, 2278, 7554, 1034, 17401, 10544, 519, 30425, 865, 4749, 602, 519, 5304, 568, 2451, 538, 519, 4158, 827, 519, 824, 10578, 1053, 563, 17357, 7773, 779, 2123, 5880, 1228, 1996, 31077, 2962, 568, 28955, 998, 16625, 5717, 540, 4993, 779, 4735, 531, 540, 20790, 476, 20385, 267, 519, 11786, 9086, 602, 8694, 31077, 2962, 538, 602, 1533, 269, 8616, 1034, 540, 519, 1053, 538, 713, 1433, 2212, 547, 4357, 12621, 3544, 540, 4993, 609, 8101, 13075, 3091, 538, 1688, 267, 4849, 585, 519, 1906, 945, 616, 521, 573, 25523, 22486, 883, 21569, 610, 1920, 13800, 269, 634, 4661, 1281, 711, 3100, 547, 3514, 713, 1650, 269, 4856, 7773, 779, 8044, 618, 1131, 581, 1732, 14018, 952, 646, 7024, 547, 519, 1570, 538, 513, 1906, 1296, 547, 7198, 519, 4539, 540, 713, 11786, 4735, 531, 563, 14454, 267, 968, 4517, 12846, 1284, 22547, 892, 3091, 835, 11212, 4277, 1650, 602, 13408, 1082, 12667, 5559, 553, 540, 14710, 543, 1967, 609, 799, 519, 5467, 3112, 948, 855, 1623, 12949, 1125, 269, 4856, 7773, 779, 9186, 949, 581, 8483, 1508, 950, 835, 15109, 1200, 1378, 791, 6842, 539, 5114, 547, 519, 2123, 6589, 267, 2947, 1296, 1310, 519, 2984, 941, 5030, 563, 1103, 519, 2245, 540, 5981, 918, 582, 869, 6308, 779, 968, 2467, 3657, 3143, 5753, 3371, 892, 543, 13744, 25070, 918, 9926, 565, 779, 968, 306, 822, 720, 21153, 8017, 2223, 30683, 4856, 7773, 6799, 513, 9661, 602, 693, 2899, 1008, 10280, 15265, 18354, 855, 849, 1390, 4126, 269, 0, 288, 4759, 540, 519, 14316, 540, 1234, 889, 523, 267, 835, 540, 519, 12964, 11031, 540, 5840, 945, 267, 538, 3504, 2053, 267, 7768, 519, 1004, 540, 5840, 945, 5555, 2968, 1634, 607, 519, 6014, 1004, 634, 14316, 729, 1572, 1310, 15243, 779, 7800, 652, 5067, 267, 945, 729, 4535, 547, 2274, 1695, 267, 15243, 779, 1101, 7385, 267, 543, 729, 519, 1101, 9799, 540, 15243, 779, 14930, 563, 763, 8260, 571, 651, 267, 513, 2030, 602, 7472, 32175, 23469, 32395, 543, 568, 5156, 547, 581, 513, 1129, 540, 12680, 267, 729, 7550, 607, 519, 14316, 779, 4013, 3090, 538, 519, 2038, 14206, 2540, 563, 5804, 519, 942, 540, 26056, 779, 21037, 540, 519, 2197, 2394, 519, 5748, 540, 519, 1101, 8003, 540, 5840, 267, 519, 570, 11171, 540, 1234, 889, 523, 729, 513, 4759, 540, 513, 10690, 1476, 539, 3130, 540, 5840, 924, 11031, 1634, 607, 519, 5753, 540, 5840, 269, 634, 1004, 941, 18170, 676, 740, 554, 665, 3401, 1634, 607, 7225, 2471, 1282, 2053, 540, 6433, 1317, 972, 729, 1100, 3844, 6392, 538, 1747, 693, 519, 942, 630, 5408, 519, 3883, 540, 7225, 2471, 1916, 6097, 547, 519, 3883, 540, 19606, 267, 1234, 889, 523, 610, 1234, 340, 1597, 630, 3891, 11119, 281, 267, 9208, 681, 1597, 267, 570, 9200, 1014, 681, 333, 264, 729, 519, 1101, 540, 15243, 543, 2274, 1695, 779, 3670, 14930, 543, 519, 7800, 652, 540, 15243, 779, 3670, 14930, 269, 1261, 729, 519, 1101, 540, 15243, 543, 2274, 1695, 779, 3670, 14930, 543, 519, 9510, 5067, 540, 15243, 269, 1261, 729, 519, 24663, 540, 519, 5840, 924, 14316, 540, 1234, 889, 523, 543, 519, 14316, 779, 13653, 563, 300, 18588, 651, 568, 26518, 538, 519, 6426, 630, 7049, 8412, 476, 1789, 281, 1691, 268, 1626, 1070, 543, 922, 6165, 538, 519, 6426, 568, 1419, 5532, 547, 922, 16957, 12680, 11897, 1424, 3601, 269, 11374, 513, 9488, 6514, 540, 519, 19999, 622, 1276, 1257, 543, 922, 3875, 12496, 267, 649, 941, 2111, 547, 556, 3887, 1998, 10663, 519, 4644, 540, 519, 8260, 571, 651, 538, 19978, 2621, 563, 297, 28779, 1004, 2221, 616, 3957, 1310, 543, 26731, 689, 519, 7013, 5840, 924, 8003, 540, 28311, 267, 12077, 689, 519, 11031, 540, 28311, 543, 18148, 267, 607, 1134, 607, 519, 11031, 540, 590, 830, 517, 543, 2274, 12858, 547, 513, 14758, 6708, 269, 11374, 519, 27757, 540, 519, 8003, 540, 5840, 267, 513, 1804, 1297, 540, 25232, 8179, 3106, 538, 519, 8003, 540, 28311, 563, 8601, 519, 1249, 602, 891, 1147, 5766, 919, 723, 2016, 4332, 547, 1453, 267, 24981, 543, 2274, 1695, 616, 1869, 15691, 547, 32230, 513, 1126, 540, 741, 1378, 269, 1879, 2274, 1695, 779, 5067, 1234, 889, 523, 25395, 8260, 571, 7719, 267, 621, 568, 513, 24659, 4090, 538, 519, 1650, 269, 589, 8260, 571, 651, 3597, 267, 799, 814, 519, 5920, 540, 513, 20169, 10867, 267, 729, 12926, 1031, 607, 513, 12680, 19259, 543, 607, 606, 21428, 549, 4134, 13519, 563, 1103, 519, 2250, 267, 8260, 571, 651, 729, 4749, 6752, 539, 883, 993, 2544, 1206, 267, 799, 941, 2219, 547, 3142, 1434, 19539, 267, 12115, 10322, 1006, 267, 543, 824, 6225, 2360, 547, 519, 649, 13145, 269, 634, 8260, 571, 651, 3597, 729, 1767, 547, 3458, 600, 543, 530, 841, 950, 621, 729, 6569, 689, 519, 2666, 267, 15294, 1359, 24455, 945, 5949, 547, 5873, 621, 267, 2687, 547, 835, 10828, 563, 288, 2030, 538, 519, 3337, 540, 513, 1480, 1560, 267, 519, 8260, 571, 651, 729, 2219, 547, 723, 519, 2702, 547, 11851, 3310, 936, 519, 1560, 281, 621, 729, 2219, 547, 581, 2111, 547, 16578, 2648, 610, 6379, 267, 607, 1134, 607, 3142, 1434, 19539, 267, 2724, 267, 543, 1379, 269, 0, 16498, 4065, 568, 6026, 998, 20736, 5069, 11759, 4247, 267, 799, 1331, 782, 3029, 540, 7328, 269, 5753, 616, 12290, 693, 741, 4358, 1448, 693, 519, 4098, 540, 513, 1770, 540, 960, 269, 11334, 1287, 1544, 267, 16174, 543, 2708, 547, 519, 2115, 540, 519, 1453, 267, 1354, 556, 12431, 31757, 741, 1983, 693, 519, 1439, 540, 513, 1770, 269, 623, 9950, 568, 849, 9447, 2066, 519, 1032, 998, 2898, 17469, 2621, 971, 607, 2777, 19194, 267, 23242, 2621, 2196, 676, 938, 623, 9950, 11846, 595, 4319, 543, 11846, 4303, 269, 589, 2647, 3099, 540, 1310, 1153, 15731, 1489, 938, 18027, 11865, 563, 2171, 616, 1360, 10583, 547, 723, 12236, 7108, 13815, 585, 3427, 10632, 11865, 269, 10241, 941, 27185, 19861, 538, 519, 1296, 476, 1001, 280, 270, 1708, 271, 476, 1708, 271, 270, 1708, 272, 1813, 547, 519, 5046, 866, 17455, 2438, 855, 649, 723, 1869, 6322, 547, 1683, 607, 1082, 3255, 585, 938, 1453, 607, 649, 666, 269, 7490, 2638, 856, 938, 2985, 547, 1451, 811, 4179, 2517, 4178, 13885, 2293, 1041, 31521, 2593, 4882, 1041, 338, 9706, 601, 2023, 268, 10919, 640, 17376, 574, 776, 17469, 13045, 16498, 4065, 538, 661, 312, 12396, 454, 763, 7216, 13012, 7690, 8609, 15099, 543, 5402, 9709, 11865, 616, 2966, 547, 1489, 1453, 779, 2168, 1646, 269, 1284, 2709, 3232, 22488, 3255, 585, 1453, 547, 4497, 538, 2168, 2534, 1312, 538, 543, 13964, 269, 3776, 1453, 723, 1569, 547, 1863, 2095, 1404, 585, 13455, 5712, 540, 942, 543, 616, 9415, 547, 946, 938, 1804, 9205, 1604, 1519, 938, 4104, 1153, 267, 16095, 10051, 267, 1404, 3937, 543, 1804, 5070, 335, 527, 269, 1284, 1569, 713, 1604, 782, 1032, 5180, 543, 538, 782, 4365, 2175, 547, 1489, 519, 1646, 540, 14407, 543, 5386, 5179, 1852, 267, 3666, 267, 11558, 267, 6015, 543, 1966, 6061, 1983, 269, 1284, 2263, 9066, 267, 10649, 267, 18552, 543, 11005, 2553, 543, 2671, 513, 2039, 540, 2635, 16152, 547, 1020, 938, 1620, 540, 519, 2956, 540, 513, 7059, 543, 2635, 6197, 563, 16498, 4065, 538, 23794, 272, 543, 23794, 273, 563, 8923, 1491, 513, 1413, 693, 938, 18027, 7650, 543, 938, 11144, 540, 1983, 6054, 585, 1142, 540, 519, 2127, 538, 18027, 912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4484, 12631, 16807, 494, 394, 484, 4564, 519, 2268, 540, 741, 3769, 5086, 269, 1284, 666, 5173, 519, 1858, 540, 1022, 6906, 1210, 713, 4542, 267, 3177, 649, 723, 713, 1808, 4999, 540, 1344, 780, 14303, 9506, 547, 938, 6906, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 1287, 267, 649, 917, 519, 3259, 540, 835, 2427, 538, 713, 6906, 543, 649, 1616, 547, 5173, 519, 3259, 540, 1776, 2427, 269, 1284, 849, 917, 519, 2268, 540, 519, 3769, 5086, 1063, 891, 1079, 5011, 543, 519, 1858, 540, 519, 6906, 269, 1284, 666, 4061, 1106, 606, 3830, 1210, 519, 25066, 4542, 269, 589, 3368, 16611, 676, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 16611, 676, 5609, 540, 476, 2568, 5232, 568, 3160, 547, 476, 10619, 3597, 1614, 269, 634, 3259, 540, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 568, 476, 1240, 17744, 267, 543, 5609, 540, 476, 2568, 5232, 568, 3597, 1614, 936, 1079, 269, 1924, 267, 649, 723, 513, 3368, 16611, 676, 476, 1240, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 16611, 676, 3597, 1614, 936, 1079, 11224, 476, 10619, 3597, 1614, 780, 4517, 649, 666, 1631, 4194, 713, 3830, 547, 1265, 519, 3259, 540, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 269, 22217, 4328, 593, 519, 2451, 11804, 2427, 267, 649, 723, 476, 1240, 3597, 1614, 936, 2185, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 267, 543, 713, 568, 3160, 547, 476, 10619, 3597, 1614, 269, 1284, 666, 1287, 22599, 513, 3815, 540, 3597, 1614, 689, 1142, 2427, 540, 519, 3830, 269, 1656, 649, 666, 849, 22599, 476, 1240, 936, 2185, 1524, 547, 8370, 936, 1079, 676, 12270, 1312, 519, 19362, 543, 14009, 676, 1079, 269, 1677, 1265, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 267, 649, 991, 547, 7941, 1312, 5011, 540, 519, 3830, 676, 8370, 936, 1079, 267, 799, 568, 519, 1482, 607, 14921, 676, 519, 23483, 540, 713, 1871, 267, 799, 568, 1079, 5991, 514, 2195, 269, 1284, 1265, 1287, 602, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 568, 3160, 547, 476, 16825, 936, 8370, 780, 763, 2243, 23403, 602, 649, 1058, 2285, 938, 2626, 547, 1079, 8918, 4025, 267, 865, 649, 991, 547, 6218, 713, 607, 513, 8918, 269, 898, 15512, 19050, 382, 503, 338, 476, 1626, 269, 275, 18596, 267, 799, 547, 1079, 8918, 4025, 568, 476, 1626, 269, 4510, 269, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 568, 513, 3259, 267, 865, 621, 786, 723, 519, 1482, 3259, 4559, 607, 519, 824, 2418, 538, 519, 2243, 267, 799, 941, 17744, 780, 3383, 267, 676, 11291, 532, 519, 25066, 4542, 585, 519, 1858, 540, 513, 6906, 543, 1287, 2324, 23651, 689, 6616, 519, 1858, 540, 713, 6906, 267, 649, 1336, 602, 3259, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 547, 1079, 8918, 4025, 568, 476, 1626, 269, 4510, 17744, 269, 0, 311, 16125, 593, 713, 3561, 692, 258, 623, 3558, 8212, 547, 2659, 4841, 281, 4635, 623, 3951, 6224, 325, 24474, 4578, 689, 11683, 13477, 5178, 2041, 4252, 910, 2985, 476, 1626, 1315, 476, 1789, 692, 8660, 5784, 692, 271, 8843, 692, 1626, 1315, 476, 1789, 692, 2304, 7151, 692, 19370, 476, 272, 281, 4855, 519, 3355, 3432, 540, 519, 3440, 630, 520, 586, 284, 2004, 269, 271, 1111, 264, 538, 18890, 780, 1103, 476, 274, 1673, 574, 5014, 519, 3355, 3432, 568, 519, 9588, 540, 519, 3355, 6991, 6152, 269, 476, 1109, 7712, 519, 3334, 616, 7396, 2630, 649, 1491, 519, 4009, 3597, 540, 519, 2040, 540, 741, 10945, 10484, 343, 334, 815, 476, 272, 269, 277, 5038, 1111, 692, 14623, 815, 476, 2004, 269, 876, 1111, 692, 15605, 815, 476, 277, 269, 6795, 278, 1111, 692, 341, 343, 334, 815, 910, 277, 269, 8064, 272, 1111, 4882, 692, 11803, 334, 815, 910, 11277, 269, 271, 4649, 1111, 4882, 692, 341, 15605, 815, 910, 276, 269, 278, 2641, 1111, 4882, 692, 1314, 815, 476, 1724, 269, 22001, 1111, 4882, 273, 692, 599, 815, 476, 1839, 269, 26764, 1111, 4882, 273, 692, 1794, 815, 910, 1704, 269, 25851, 1111, 4882, 273, 692, 11657, 5784, 476, 8660, 8525, 5784, 476, 8660, 8525, 2063, 9763, 3933, 3967, 476, 1626, 476, 866, 281, 4029, 281, 1428, 27635, 476, 1001, 278, 9664, 476, 1789, 24225, 338, 476, 19054, 9293, 476, 14065, 272, 0, 7462, 1548, 568, 519, 2626, 547, 713, 1966, 2496, 14691, 570, 12460, 281, 7183, 29120, 5384, 3970, 281, 476, 272, 4303, 692, 8340, 519, 2040, 540, 519, 1101, 476, 1839, 2474, 540, 519, 12980, 5311, 281, 476, 278, 267, 866, 267, 4029, 267, 6246, 267, 13718, 9802, 476, 1839, 628, 267, 476, 1001, 276, 692, 11764, 540, 562, 2474, 540, 606, 6673, 568, 2016, 676, 692, 2080, 10484, 333, 284, 1839, 692, 320, 272, 284, 278, 692, 323, 284, 866, 268, 278, 284, 1321, 692, 259, 306, 5332, 7807, 2765, 23533, 2410, 273, 22042, 476, 273, 320, 318, 272, 1341, 630, 333, 268, 272, 264, 323, 316, 8607, 315, 23976, 590, 5332, 7807, 2765, 346, 1839, 2410, 273, 22042, 476, 273, 1422, 9392, 476, 278, 1341, 630, 1839, 268, 272, 264, 1321, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 2410, 273, 22042, 476, 1691, 1341, 476, 2190, 1422, 9392, 476, 1321, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 2410, 273, 22042, 476, 1691, 1341, 476, 25971, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 1422, 9392, 476, 23714, 2410, 273, 13157, 4037, 276, 271, 8607, 315, 23976, 1422, 7901, 539, 346, 306, 3709, 1839, 13157, 4037, 276, 271, 10592, 25275, 25275, 4499, 2525, 284, 692, 16485, 1394, 952, 596, 723, 1022, 8969, 269, 594, 993, 1934, 780, 9802, 476, 1839, 628, 267, 476, 1001, 276, 692, 2483, 9802, 476, 1839, 628, 267, 476, 1001, 276, 454, 2483, 9802, 476, 1839, 628, 267, 476, 1001, 276, 454, 13356, 476, 276, 628, 267, 476, 1001, 277, 454, 13765, 6831, 22511, 454, 15812, 607, 15937, 8382, 454, 13765, 6831, 22511, 454, 4462, 5658, 607, 15937, 8382, 454, 13765, 6831, 22511, 0, 23921, 6435, 609, 4569, 8627, 5430, 1535, 1341, 16009, 1535, 5609, 1535, 284, 16009, 1535, 936, 5609, 1535, 16748, 281, 476, 273, 6523, 317, 273, 343, 1341, 5430, 1535, 268, 272, 2496, 1892, 10261, 6435, 609, 4569, 8627, 5430, 1535, 1341, 16009, 1535, 5609, 1535, 284, 16009, 1535, 936, 5609, 1535, 16748, 281, 476, 273, 6523, 317, 273, 343, 1341, 5430, 1535, 268, 272, 2496, 27893, 540, 5430, 3287, 2567, 689, 519, 12045, 540, 20534, 269, 901, 666, 581, 6508, 1175, 899, 5609, 3287, 264, 729, 6508, 610, 811, 3362, 689, 519, 1267, 540, 5609, 3287, 264, 9717, 281, 5609, 3287, 264, 815, 5430, 4429, 31339, 281, 476, 11011, 4939, 454, 1015, 910, 476, 275, 14572, 4645, 4834, 3267, 16534, 585, 5430, 476, 273, 343, 1341, 5609, 1535, 815, 476, 272, 585, 476, 271, 522, 2999, 1535, 2999, 476, 11740, 522, 3267, 476, 271, 815, 476, 273, 7562, 476, 273, 1535, 910, 5609, 1535, 16748, 256, 476, 271, 815, 5609, 1535, 263, 273, 7562, 1535, 910, 476, 272, 994, 31339, 281, 476, 6434, 4939, 692, 5415, 2200, 692, 3412, 9712, 622, 2979, 948, 689, 13698, 2839, 570, 7473, 27633, 269, 3267, 5609, 3287, 264, 815, 476, 271, 610, 5609, 3287, 264, 815, 476, 272, 3267, 1924, 649, 798, 711, 991, 513, 9498, 563, 31339, 281, 476, 11011, 4939, 454, 1862, 649, 1131, 991, 606, 3063, 2387, 7562, 3287, 23375, 3815, 269, 3267, 3961, 2829, 602, 2387, 6523, 317, 273, 3287, 11924, 7562, 317, 273, 3287, 6661, 272, 18269, 3267, 5918, 284, 272, 270, 278, 579, 317, 278, 266, 272, 270, 276, 579, 317, 276, 266, 290, 284, 272, 270, 278, 16009, 317, 278, 3287, 11924, 272, 270, 276, 16009, 317, 276, 3287, 11924, 290, 4429, 31339, 281, 476, 10436, 4939, 454, 8196, 519, 5832, 4341, 540, 15285, 547, 1265, 16755, 540, 3252, 282, 3267, 630, 343, 264, 815, 476, 275, 5609, 630, 273, 343, 1341, 476, 274, 264, 5430, 3267, 630, 343, 264, 815, 910, 272, 1315, 630, 343, 910, 476, 273, 264, 476, 273, 5430, 1496, 476, 272, 1315, 630, 343, 910, 476, 273, 13580, 0, 20597, 760, 25478, 676, 476, 1911, 781, 454, 9359, 6657, 692, 1012, 1215, 547, 4787, 760, 4032, 676, 476, 1911, 692, 5331, 596, 12236, 513, 2603, 540, 2724, 693, 707, 1153, 27106, 9042, 780, 7312, 2816, 568, 547, 4137, 856, 875, 1454, 596, 12236, 538, 782, 780, 2467, 616, 8096, 272, 12014, 538, 15985, 956, 540, 476, 1911, 780, 2791, 1223, 1293, 519, 12014, 835, 676, 835, 267, 855, 602, 1131, 1491, 596, 513, 1279, 942, 2439, 7775, 596, 1223, 18178, 1293, 676, 476, 1911, 780, 6546, 1131, 1118, 707, 2816, 2731, 2653, 256, 15662, 350, 382, 509, 382, 502, 19050, 692, 2791, 12236, 8096, 4335, 538, 782, 2439, 2162, 4787, 760, 25478, 676, 476, 1911, 692, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 4787, 760, 10203, 676, 476, 1911, 568, 4946, 476, 1911, 547, 1205, 519, 1985, 1297, 780, 763, 1297, 1899, 2630, 2982, 875, 649, 18886, 519, 2724, 689, 519, 27106, 9042, 780, 2162, 4032, 909, 547, 476, 272, 267, 1822, 692, 1103, 476, 273, 526, 3446, 267, 596, 1058, 581, 2111, 547, 18178, 1293, 676, 476, 1911, 909, 547, 835, 8536, 267, 689, 3965, 269, 384, 478, 692, 4131, 781, 2119, 621, 1927, 780, 1911, 267, 476, 1220, 267, 476, 4968, 267, 476, 6110, 267, 476, 4335, 454, 7785, 267, 476, 10384, 267, 476, 8517, 267, 476, 12010, 267, 476, 1911, 271, 692, 2162, 6271, 7151, 692, 1432, 952, 649, 18178, 1293, 676, 476, 1911, 338, 689, 476, 13679, 2496, 1432, 568, 519, 1297, 1310, 476, 276, 4792, 2496, 276, 4792, 1341, 476, 1911, 815, 476, 277, 4792, 692, 15124, 2816, 256, 15662, 350, 382, 509, 382, 495, 382, 493, 692, 3086, 267, 2347, 519, 2259, 256, 15662, 350, 382, 509, 382, 502, 21417, 1411, 3513, 3314, 1018, 596, 4121, 585, 3476, 780, 2162, 7689, 6790, 752, 692, 271, 2395, 454, 28415, 519, 2259, 1169, 1554, 547, 1628, 707, 1792, 752, 454, 307, 454, 293, 454, 306, 454, 306, 454, 300, 454, 307, 454, 310, 454, 9359, 6657, 454, 28415, 519, 2259, 547, 7118, 476, 272, 8073, 15894, 692, 272, 267, 1822, 8073, 28946, 1080, 568, 4502, 8096, 272, 538, 1483, 3642, 12337, 942, 780, 272, 8073, 15894, 568, 2614, 547, 1205, 476, 272, 2243, 12943, 267, 610, 547, 5352, 476, 272, 3239, 689, 1257, 267, 538, 519, 2645, 9184, 563, 27645, 912, 10112, 793, 547, 1053, 454, 291, 340, 12393, 454, 31171, 5999, 454, 31171, 9137, 454, 10112, 793, 454, 7093, 1613, 5999, 454, 31171, 454, 291, 340, 12393, 0, 258, 4208, 798, 3615, 10581, 538, 6878, 811, 10053, 982, 2933, 2496, 1892, 737, 20076, 1046, 454, 1103, 5758, 267, 519, 6643, 5941, 519, 2623, 540, 9362, 538, 513, 8708, 543, 1946, 519, 14402, 3154, 786, 4473, 547, 519, 1283, 269, 634, 1883, 1448, 568, 602, 519, 1062, 2141, 13290, 547, 7413, 922, 1761, 1648, 267, 543, 519, 3892, 540, 9362, 538, 519, 8708, 786, 2992, 713, 269, 901, 1523, 666, 849, 581, 4294, 547, 513, 5068, 10935, 13735, 538, 1216, 267, 607, 519, 1062, 786, 4188, 3294, 547, 7413, 1761, 1648, 269, 634, 6643, 849, 20109, 593, 519, 946, 540, 1648, 7440, 538, 1620, 891, 9259, 563, 330, 20076, 1046, 454, 296, 4312, 1044, 3206, 827, 713, 11014, 267, 543, 594, 666, 1405, 4137, 621, 856, 269, 2913, 781, 2263, 513, 16866, 3510, 281, 476, 273, 18253, 540, 19440, 543, 476, 273, 18253, 540, 26775, 616, 519, 1482, 2837, 538, 513, 4216, 602, 568, 476, 1911, 260, 3608, 693, 29212, 3002, 543, 519, 9362, 269, 634, 26775, 786, 834, 15615, 257, 547, 519, 1283, 540, 519, 4216, 282, 1946, 286, 898, 781, 1447, 7372, 267, 865, 1142, 9325, 786, 723, 513, 3152, 6991, 267, 855, 12582, 1405, 621, 1847, 14477, 609, 5506, 4180, 602, 621, 7575, 8449, 538, 782, 8846, 286, 2549, 594, 7508, 1945, 286, 4746, 267, 594, 9364, 5660, 952, 596, 1131, 2491, 519, 811, 7294, 9183, 540, 513, 4496, 4216 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 607, 1134, 607, 585, 519, 8628, 3095, 543, 519, 8756, 269, 12900, 454, 14937, 13340, 4112, 1622, 1862, 12476, 7171, 267, 29577, 267, 543, 15298, 7171, 18993, 3827, 563, 27039, 593, 519, 1604, 543, 875, 519, 5122, 5365, 568, 2366, 936, 519, 10814, 267, 1071, 1314, 666, 581, 1031, 585, 1614, 2010, 540, 18993, 3827, 563, 26015, 7171, 18993, 3827, 946, 519, 3003, 2792, 8756, 4390, 1862, 811, 270, 5408, 621, 1631, 1729, 10141, 513, 2582, 1239, 5365, 269, 3509, 29135, 338, 2308, 774, 514, 1071, 1314, 585, 3490, 7171, 15202, 563, 289, 5802, 7171, 18993, 3827, 946, 1114, 12451, 547, 4163, 1896, 12746, 6786, 8195, 269, 3962, 5365, 666, 585, 581, 513, 1114, 1826, 540, 1344, 1765, 11907, 267, 5639, 267, 1256, 3381, 269, 16340, 7171, 18993, 3827, 936, 1071, 1314, 2308, 2901, 835, 610, 1079, 15791, 269, 2060, 2582, 2275, 762, 1071, 1314, 11443, 267, 12451, 616, 8237, 883, 1367, 9055, 585, 1142, 6728, 282, 930, 9055, 616, 21248, 585, 19915, 27399, 2792, 269, 32680, 2275, 762, 1071, 1314, 11443, 3096, 835, 10814, 585, 11488, 543, 835, 10814, 585, 8391, 1239, 267, 1142, 609, 2789, 9055, 269, 16340, 7171, 18993, 3827, 616, 4998, 585, 1279, 9883, 269, 774, 1157, 1071, 1314, 568, 1419, 1031, 585, 29577, 18993, 3827, 563, 19284, 29577, 18993, 3827, 267, 15298, 7171, 18993, 3827, 666, 1152, 946, 835, 1344, 8756, 269, 2961, 8175, 7171, 568, 1655, 14018, 585, 519, 8880, 1016, 17882, 338, 630, 11357, 6339, 4103, 264, 538, 4853, 5468, 269, 3509, 29135, 338, 946, 774, 514, 1071, 1314, 585, 15298, 7171, 15202, 269, 12900, 454, 14937, 13340, 4112, 1622, 1862, 24400, 590, 5425, 296, 15791, 563, 272, 269, 10866, 269, 2659, 1949, 2773, 5673, 593, 519, 2298, 540, 707, 590, 5425, 296, 15791, 269, 9453, 1164, 7779, 15791, 4481, 2966, 585, 590, 5425, 296, 3156, 267, 596, 1223, 581, 28855, 1944, 707, 590, 5425, 296, 3076, 5202, 269, 769, 2536, 1640, 15791, 28011, 811, 270, 5408, 621, 1631, 611, 9532, 267, 543, 2165, 20788, 666, 2014, 4351, 6959, 267, 1239, 13313, 267, 610, 1256, 513, 1062, 16154, 256, 4563, 13340, 10378, 590, 5425, 296, 595, 1963, 543, 3334, 616, 519, 6207, 1655, 7779, 2472, 269, 1656, 789, 516, 16798, 585, 1272, 563, 273, 269, 20099, 269, 1280, 8445, 3060, 2773, 267, 1118, 2386, 707, 15791, 616, 519, 1318, 3259, 269, 1306, 10814, 8255, 1205, 3476, 267, 6786, 14020, 543, 616, 811, 11630, 547, 6846, 269, 11408, 946, 519, 20125, 10814, 585, 519, 4305, 269, 1656, 3251, 1369, 519, 590, 5425, 296, 268, 272, 543, 590, 5425, 296, 268, 273, 4441, 540, 3670, 7397, 610, 1614, 7397, 585, 16258, 590, 5425, 296, 269, 5457, 267, 713, 568, 519, 2698, 3259, 540, 519, 1668, 267, 1519, 782, 4835, 543, 5007, 15791, 269, 12900, 0, 288, 838, 622, 540, 6177, 2770, 2665, 2094, 519, 4098, 540, 519, 1032, 538, 3624, 814, 4966, 8384, 5702, 607, 6634, 540, 1004, 543, 16738, 616, 593, 519, 1847, 6619, 540, 519, 30803, 1715, 5729, 9702, 267, 519, 1158, 781, 4102, 5993, 1480, 9194, 563, 19770, 814, 4080, 811, 982, 476, 2004, 670, 278, 301, 280, 5563, 538, 476, 1001, 275, 1310, 519, 8833, 29860, 689, 5017, 547, 1004, 585, 519, 1101, 942, 2063, 1032, 269, 634, 3644, 3788, 2182, 547, 6952, 543, 1034, 2665, 723, 1044, 5532, 547, 3346, 609, 16738, 267, 855, 3744, 5855, 602, 1223, 1689, 952, 621, 4573, 919, 883, 513, 1106, 602, 2636, 621, 547, 3262, 3362, 1851, 1004, 563, 2690, 1346, 945, 3950, 14798, 267, 519, 9702, 267, 799, 5956, 3967, 269, 476, 4029, 267, 568, 2141, 20468, 1317, 621, 2501, 1282, 519, 5162, 3275, 950, 2770, 3335, 986, 2471, 269, 5410, 602, 547, 7366, 540, 6634, 540, 1004, 2443, 543, 1419, 5017, 2443, 16081, 4364, 1927, 593, 21772, 543, 824, 3029, 540, 6283, 2469, 1753, 267, 543, 621, 781, 2141, 513, 3787, 540, 513, 13708, 1076, 269, 3624, 9193, 476, 274, 269, 277, 5479, 15143, 786, 581, 3144, 936, 519, 9702, 4005, 563, 21893, 568, 519, 1101, 5162, 649, 4312, 2938, 670, 278, 301, 280, 269, 1284, 616, 538, 17946, 14975, 8513, 2437, 1767, 27068, 19134, 331, 267, 2622, 2657, 9257, 22557, 2006, 538, 25611, 269, 834, 2171, 723, 2938, 606, 909, 11034, 538, 2665, 267, 799, 649, 616, 5316, 5024, 10416, 547, 519, 1249, 602, 621, 781, 5162, 269, 2334, 5916, 609, 513, 2603, 540, 3350, 540, 1004, 538, 22125, 14884, 609, 17944, 1223, 2285, 4473, 547, 513, 2603, 811, 5563, 267, 855, 649, 4312, 849, 2938, 538, 2250, 1296, 1141, 621, 18387, 1405, 4799, 763, 1101, 670, 278, 301, 280, 2665, 941, 4080, 538, 3735, 4728, 2282, 29258, 267, 543, 811, 982, 476, 1220, 1866, 723, 2094, 1044, 4857, 267, 1519, 930, 476, 2004, 7972, 269, 589, 476, 4029, 4458, 6040, 4387, 2968, 835, 540, 519, 5767, 28896, 267, 9870, 12194, 646, 949, 723, 1044, 7783, 693, 519, 6413, 1141, 646, 5249, 267, 855, 9039, 540, 1010, 2550, 610, 824, 2673, 17066, 723, 4080, 2770, 2589, 267, 2687, 547, 519, 29258, 27391, 531, 8189, 540, 2657, 543, 7731, 12020, 269, 0, 2252, 596, 2307, 1034, 3214, 267, 789, 786, 2995, 596, 602, 789, 1205, 18901, 540, 32467, 16051, 2478, 1317, 540, 741, 5920, 269, 1809, 952, 596, 4001, 891, 3214, 32467, 16051, 529, 5013, 267, 789, 666, 1205, 19832, 676, 891, 7786, 543, 789, 786, 1451, 811, 827, 519, 2067, 1272, 4783, 538, 519, 1604, 563, 763, 1101, 1906, 3877, 602, 3214, 1058, 917, 827, 891, 32467, 16051, 2478, 616, 827, 519, 5920, 269, 1452, 7786, 723, 741, 2062, 3916, 2125, 25649, 538, 4395, 540, 741, 4703, 799, 18613, 519, 32467, 2990, 269, 1809, 3214, 1058, 917, 602, 789, 5749, 1406, 2731, 32467, 855, 621, 568, 513, 2067, 2990, 602, 789, 946, 547, 5965, 585, 606, 4323, 593, 741, 10352, 269, 6271, 4277, 1249, 585, 3214, 827, 32467, 16051, 2478, 568, 602, 891, 7786, 1152, 2874, 540, 513, 1507, 6712, 540, 519, 16051, 529, 1920, 269, 1656, 519, 1964, 540, 519, 16051, 2478, 798, 711, 8209, 723, 519, 32467, 2990, 602, 789, 798, 563, 2467, 616, 849, 513, 2603, 540, 3214, 945, 2307, 952, 32467, 16051, 2478, 11116, 3425, 269, 21813, 532, 16051, 2478, 666, 11116, 3425, 855, 789, 3335, 1810, 1406, 1317, 3425, 616, 711, 741, 10352, 269, 1358, 949, 11116, 952, 789, 1745, 12219, 269, 634, 1434, 3364, 568, 602, 741, 17486, 616, 3592, 2147, 547, 606, 1884, 11116, 855, 519, 1928, 666, 3533, 14897, 543, 621, 568, 711, 20715, 1932, 13034, 10248, 513, 21813, 532, 31615, 529, 454, 1103, 1931, 547, 1376, 554, 10248, 513, 32467, 16051, 529, 267, 2322, 519, 4212, 2013, 883, 513, 17512, 10740, 267, 538, 2013, 596, 616, 4058, 547, 1832, 873, 607, 10130, 269, 589, 17512, 10740, 666, 1491, 519, 1106, 540, 513, 3165, 12826, 267, 513, 25888, 20220, 610, 1022, 824, 8708, 267, 607, 1279, 607, 972, 568, 513, 1507, 7936, 540, 2030, 2451, 3330, 269, 12305, 17450, 593, 519, 1283, 547, 2061, 519, 562, 8233, 338, 689, 3478, 2476, 855, 2636, 585, 1312, 2011, 2095, 543, 1426, 6765, 269, 634, 4212, 2013, 1058, 581, 2859, 1862, 1432, 1411, 9701, 5700, 6168, 21813, 532, 31615, 529, 454, 303, 2001, 532, 16051, 529, 616, 7786, 609, 936, 476, 272, 267, 8517, 2249, 782, 936, 519, 1158, 269, 901, 5521, 779, 1034, 10058, 4183, 568, 741, 30230, 4771, 7953, 538, 4395, 602, 1413, 607, 952, 789, 616, 32467, 269, 1452, 7953, 616, 2966, 547, 1732, 694, 1944, 543, 8066, 741, 10352, 269, 21813, 532, 16051, 2478, 616, 20027, 282, 538, 1249, 789, 616, 540, 1390, 948, 547, 6705, 538, 4189, 7786, 602, 616, 21006, 519, 7031, 799, 568, 835, 540, 519, 32467, 16051, 529, 5013, 602, 616, 5963, 6225, 269, 31615, 2478, 2482, 5798, 538, 13999, 1141, 2859, 1862, 303, 2001, 532, 31615, 529, 607, 5484, 1030, 2772, 24538, 454, 303, 2001, 532, 16051, 2478, 1404, 606, 1271, 1909, 538, 519, 1604, 543, 547, 519, 5117, 269, 1358, 616, 1360, 1271, 543, 6225, 547, 6705, 2094, 789, 3049, 593, 10860, 267, 8754, 267, 9013, 519, 2208, 540, 741, 2551, 543, 7303, 1022, 2800, 602, 789, 666, 2014, 593, 519, 7031, 607, 1134, 607, 547, 519, 2371, 693, 1753, 269, 1717, 267, 835, 540, 519, 796, 1952, 324, 2718, 32467, 16051, 529, 5013, 568, 602, 267, 1373, 11975, 267, 789, 849, 4043, 547, 3049, 593, 741, 1378, 2186, 269, 1879, 596, 1413, 693, 32467, 16051, 529, 593, 2859, 1862, 303, 2001, 532, 31615, 529, 12700, 454, 5472, 936, 519, 1158, 267, 972, 616, 5111, 835, 8536, 543, 5216, 4627, 1634, 2249, 540, 7786, 19882, 689, 519, 12593, 31615, 529, 269, 5221, 540, 519, 26715, 22464, 540, 519, 16051, 529, 685, 11495, 543, 1360, 3989, 4395, 7953, 602, 616, 18761, 693, 513, 1880, 5086, 23401, 513, 32467, 2990, 267, 713, 1024, 340, 568, 1034, 4122, 5219, 607, 519, 32467, 16051, 529, 269, 634, 32467, 16051, 529, 2501, 689, 606, 3003, 267, 8273, 1895, 540, 16051, 1749, 267, 689, 519, 1362, 24538, 320, 543, 689, 519, 18105, 636, 19848, 18649, 269, 4107, 32467, 16051, 529, 5013, 2859, 1862, 303, 2001, 532, 31615, 529, 12700, 607, 513, 8891, 454, 288, 2603, 540, 1004, 917, 602, 519, 32467, 16051, 529, 568, 1175, 513, 2241, 5521, 2713, 538, 519, 10651, 610, 519, 11396, 269, 1280, 22254, 267, 891, 7786, 616, 3730, 1317, 789, 948, 1205, 7759, 540, 7786, 602, 949, 3548, 519, 5810, 543, 519, 3762, 540, 741, 2371, 269, 634, 1482, 4341, 849, 10039, 547, 6705, 945, 946, 32467, 16051, 2478, 585, 11641, 1852, 269, 1809, 1759, 593, 32467, 16051, 529, 5013, 267, 930, 1004, 2965, 723, 891, 7786, 607, 741, 10130, 269, 769, 1931, 547, 723, 513, 32467, 2859, 1862, 0, 289, 792, 5211, 1019, 7719, 454, 763, 19594, 5211, 1019, 7719, 616, 513, 476, 272, 267, 25228, 547, 476, 272, 267, 29483, 2929, 1032, 2025, 1895, 540, 1019, 7719, 538, 7187, 962, 4157, 517, 267, 4516, 269, 1358, 2099, 513, 4183, 1644, 547, 4012, 3901, 1143, 540, 519, 3573, 27963, 20044, 773, 14066, 16384, 928, 748, 19435, 543, 616, 2808, 547, 581, 519, 7262, 10137, 540, 519, 22070, 1606, 11322, 7678, 532, 27963, 20044, 773, 546, 833, 2220, 1301, 563, 268, 5576, 342, 629, 267, 8355, 8291, 700, 5919, 774, 1251, 15625, 267, 667, 699, 330, 808, 5919, 18200, 27255, 267, 6276, 918, 5919, 11511, 6471, 267, 7917, 589, 5919, 2806, 321, 2714, 267, 808, 269, 16827, 630, 1220, 275, 268, 5400, 268, 736, 1040, 634, 19594, 5211, 10085, 7719, 630, 14695, 276, 268, 14695, 280, 8575, 2567, 31023, 27402, 540, 519, 27963, 20044, 773, 10085, 651, 2220, 1301, 883, 962, 4157, 517, 267, 4516, 476, 15836, 630, 274, 268, 275, 1040, 3163, 17445, 269, 533, 269, 476, 11260, 563, 347, 1607, 2376, 827, 513, 962, 4157, 517, 4087, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 8198, 347, 1607, 2376, 827, 513, 1808, 8225, 17027, 4183, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 23175, 338, 540, 15716, 630, 18721, 994, 288, 9843, 540, 6876, 568, 513, 1875, 1532, 4193, 3561, 24152, 519, 1292, 2152, 4143, 547, 513, 17895, 894, 630, 4820, 2996, 1222, 610, 824, 264, 6876, 269, 589, 9843, 540, 6876, 3561, 786, 1152, 581, 17997, 762, 950, 621, 568, 7550, 883, 513, 2385, 4579, 543, 13604, 8815, 2390, 269, 19402, 602, 1448, 267, 513, 9843, 540, 6876, 786, 711, 581, 16155, 11006, 630, 8450, 674, 2280, 7815, 7420, 6052, 642, 24542, 15278, 540, 1715, 10215, 476, 273, 715, 313, 28384, 476, 275, 3451, 1916, 4467, 14293, 16296, 3690, 9146, 454, 1103, 513, 5010, 3959, 11834, 538, 519, 5177, 267, 513, 9843, 540, 6876, 568, 1419, 1634, 607, 519, 9843, 540, 2474, 630, 9816, 4811, 1040, 634, 1292, 3483, 540, 519, 9843, 540, 2474, 568, 547, 2697, 543, 5031, 519, 4170, 540, 1312, 519, 22673, 543, 519, 4136, 6471, 540, 519, 3959, 269, 1703, 616, 513, 1297, 540, 5383, 540, 1210, 519, 9843, 540, 2474, 269, 1280, 3236, 267, 676, 8876, 713, 856, 267, 1312, 6105, 786, 4628, 1174, 1018, 789, 616, 1641, 547, 267, 543, 2569, 610, 13373, 880, 1022, 21390, 689, 2901, 5428, 269, 634, 9843, 540, 2474, 7363, 3568, 519, 1739, 1344, 912, 268, 19672, 540, 519, 3959, 22673, 454, 268, 19672, 540, 519, 3959, 4136, 6471, 454, 268, 17372, 540, 519, 5010, 3959, 454, 268, 19672, 540, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1240, 2048, 288, 794, 6486, 685, 616, 849, 3769, 538, 519, 4730, 454, 1372, 1188, 547, 1118, 2386, 4730, 808, 32271, 13985, 320, 568, 513, 2603, 540, 1187, 2336, 297, 32271, 779, 476, 3607, 2243, 6486, 616, 782, 11609, 547, 1039, 2796, 543, 1034, 454, 10623, 1155, 31002, 4143, 6863, 585, 5716, 547, 1451, 269, 7844, 4267, 454, 732, 2016, 607, 1134, 269, 634, 2495, 540, 519, 2055, 666, 1419, 581, 6508, 454, 5228, 519, 12383, 593, 519, 6486, 267, 7132, 513, 8144, 568, 2139, 454, 5228, 519, 17985, 302, 3896, 630, 698, 665, 1841, 2593, 1916, 763, 6486, 4183, 5545, 7097, 630, 327, 4275, 1146, 320, 267, 737, 520, 752, 3570, 267, 543, 513, 1906, 2241, 454, 16988, 10202, 264, 5705, 12822, 609, 6535, 1690, 328, 3197, 630, 328, 4318, 269, 519, 9904, 264, 1107, 547, 1118, 454, 527, 2653, 585, 14987, 547, 1224, 519, 6486, 267, 1247, 849, 3850, 930, 454, 641, 1636, 29774, 585, 5716, 547, 2259, 7114, 519, 1599, 540, 519, 454, 30153, 3197, 267, 1932, 563, 3528, 1374, 267, 1142, 942, 513, 3014, 568, 5129, 267, 519, 6486, 786, 1459, 2933, 454, 514, 513, 1114, 267, 4351, 1931, 267, 543, 5716, 1205, 547, 6108, 3160, 942, 1312, 454, 27965, 543, 16460, 1142, 540, 519, 2055, 269, 901, 5012, 547, 5716, 454, 638, 1157, 569, 1831, 5432, 609, 519, 8239, 543, 6863, 9072, 593, 519, 454, 11568, 267, 543, 3384, 513, 4514, 1620, 540, 519, 3077, 1893, 1142, 454, 5503, 789, 1404, 563, 297, 32271, 13985, 320, 568, 606, 17170, 1907, 585, 519, 13680, 2875, 540, 5545, 2676, 10175, 1346, 1175, 1019, 6137, 741, 19462, 538, 519, 1893, 585, 519, 1101, 454, 5503, 269, 769, 519, 4928, 267, 621, 568, 1655, 1031, 607, 851, 540, 513, 1187, 3992, 3636, 909, 454, 263, 7474, 4991, 3025, 6340, 1070, 610, 5129, 693, 519, 1439, 540, 513, 3992, 607, 513, 454, 339, 805, 585, 2324, 2182, 538, 1362, 2336, 7918, 21998, 267, 4341, 6656, 563, 263, 3607, 2243, 6486, 2676, 1240, 2962, 6486, 264, 0, 290, 1846, 723, 5129, 606, 1271, 1909, 538, 519, 1686, 543, 2528, 540, 5527, 585, 5215, 540, 1296, 269, 9147, 21072, 941, 1851, 519, 1101, 1004, 547, 6469, 622, 7314, 267, 543, 789, 941, 26060, 607, 10723, 2831, 563, 290, 1846, 941, 2938, 607, 25330, 540, 519, 1753, 543, 941, 2219, 547, 723, 519, 1379, 547, 20758, 1055, 9409, 14326, 269, 1358, 941, 849, 2404, 609, 1585, 24587, 267, 1519, 645, 770, 564, 267, 519, 15831, 540, 12680, 267, 2648, 267, 543, 7772, 267, 945, 729, 1419, 13269, 607, 513, 3032, 610, 513, 4807, 609, 513, 3032, 781, 2212, 563, 1103, 3504, 5527, 267, 7314, 941, 865, 3810, 9833, 602, 11318, 835, 729, 19439, 762, 676, 2669, 269, 1879, 513, 3032, 5747, 267, 922, 5411, 1131, 695, 1511, 741, 32071, 4900, 607, 513, 1129, 540, 31366, 543, 519, 3032, 1131, 581, 544, 17026, 1881, 543, 12617, 609, 1390, 16008, 563, 2467, 616, 849, 1082, 2984, 543, 17691, 827, 7314, 538, 3504, 5527, 269, 2290, 540, 519, 1034, 4583, 568, 519, 1650, 540, 519, 3032, 15831, 645, 770, 564, 267, 945, 568, 1767, 547, 723, 6870, 1200, 13794, 689, 9409, 14326, 543, 2068, 269, 6271, 1650, 6645, 540, 513, 3032, 3957, 31410, 945, 10710, 519, 1272, 540, 1200, 8227, 676, 20414, 513, 20715, 13131, 563, 9213, 267, 7314, 3136, 547, 581, 606, 1271, 851, 540, 12266, 2528, 269, 1358, 616, 1419, 2938, 887, 5446, 519, 10754, 543, 10246, 903, 540, 4872, 899, 595, 23879, 543, 616, 3622, 1134, 2389, 11217, 730, 676, 519, 2199, 2551, 269, 3509, 21072, 849, 1832, 7314, 607, 10130, 543, 2015, 873, 547, 581, 513, 11537, 4759, 540, 519, 1920, 269, 0, 19111, 1353, 281, 11427, 269, 808, 1923, 16711, 6780, 948, 454, 1103, 2489, 267, 1875, 659, 1393, 28491, 637, 21732, 1416, 3322, 519, 2359, 540, 5312, 3676, 971, 607, 5312, 30126, 5761, 2068, 630, 4596, 11520, 264, 543, 10447, 269, 634, 2175, 1590, 581, 7307, 543, 6462, 547, 948, 2550, 4383, 741, 2589, 267, 543, 2061, 606, 12615, 566, 269, 1280, 1875, 14092, 1393, 28491, 637, 21732, 1416, 267, 972, 616, 513, 1297, 540, 2200, 2139, 563, 268, 5851, 3782, 2533, 281, 5851, 3782, 2533, 1683, 8808, 1416, 267, 2168, 3797, 267, 543, 824, 1489, 2533, 538, 519, 3461, 779, 1753, 269, 1452, 2533, 948, 2550, 1451, 547, 4383, 741, 2589, 267, 6895, 741, 2783, 267, 543, 1020, 1582, 13282, 1983, 269, 14904, 666, 4324, 689, 1753, 3782, 2533, 585, 6646, 2359, 267, 10138, 2126, 267, 543, 811, 563, 268, 17791, 8234, 7896, 281, 14904, 666, 5968, 20716, 609, 1072, 1416, 7426, 1210, 2029, 971, 607, 2756, 27019, 325, 17182, 267, 1257, 6835, 267, 543, 824, 4066, 269, 17791, 8234, 568, 3226, 5363, 585, 1346, 2550, 945, 723, 3908, 6283, 610, 10688, 3681, 269, 1358, 666, 1569, 3782, 689, 741, 5321, 269, 17791, 8234, 2533, 666, 849, 948, 3782, 7426, 6895, 2550, 685, 2783, 543, 1683, 1489, 543, 2069, 563, 268, 8682, 31193, 543, 3461, 2069, 3292, 281, 15789, 602, 4001, 2550, 827, 741, 4576, 267, 741, 2589, 267, 610, 875, 547, 2057, 12615, 725, 616, 2139, 269, 634, 3292, 949, 1331, 6044, 593, 1582, 13282, 267, 6197, 1689, 267, 610, 6646, 2359, 269, 634, 3292, 7668, 2550, 547, 1404, 513, 811, 3742, 1909, 538, 519, 2359, 540, 741, 1072, 2175, 269, 901, 666, 2333, 3461, 7115, 267, 543, 2569, 1224, 3939, 3928, 563, 268, 5516, 11558, 270, 4134, 8408, 4058, 281, 5637, 616, 1271, 547, 2327, 602, 2550, 3136, 8391, 3617, 1489, 543, 1416, 1310, 6028, 519, 6413, 269, 5516, 11558, 3322, 25640, 1416, 1063, 3782, 7426, 267, 1247, 11166, 4058, 3322, 4058, 585, 2550, 685, 5571, 1416, 2115, 1310, 789, 4734, 519, 6413, 269, 5516, 11558, 543, 11166, 1544, 666, 2061, 1224, 332, 3827, 676, 4180, 2550, 1205, 519, 3617, 1489, 543, 1246, 5346, 563, 6962, 281, 6348, 659, 1393, 5516, 585, 9315, 1470, 637, 21732, 12983, 3340, 606, 5044, 540, 2200, 602, 786, 1489, 519, 3461, 779, 7115, 543, 948, 2061, 1224, 3939, 269, 769, 1931, 547, 2327, 602, 5312, 2550, 616, 8391, 519, 1318, 1416, 267, 11558, 540, 1416, 267, 543, 17579, 532, 4566, 267, 1753, 3782, 2533, 267, 7658, 8234, 3292, 267, 3461, 1582, 31193, 267, 2069, 267, 543, 2069, 3292, 607, 1134, 1416, 11558, 543, 11166, 1544, 267, 782, 891, 2533, 543, 2200, 1590, 581, 2139, 269, 6348, 14092, 1393, 1416, 2337, 2087, 4093, 585, 2550, 543, 2539, 3782, 3790, 676, 3246, 873, 609, 2200, 547, 948, 4383, 2589, 543, 2057, 12615, 725, 269, 0, 763, 1101, 2479, 1634, 2013, 540, 513, 25438, 850, 18413, 5798, 1510, 513, 5256, 19898, 1107, 513, 4686, 10285, 4640, 602, 1223, 581, 14360, 1394, 547, 17878, 1107, 814, 1044, 13006, 676, 3744, 563, 7021, 519, 2063, 1079, 5756, 267, 18186, 5505, 723, 5051, 13006, 519, 1360, 4686, 9451, 24260, 10285, 4640, 540, 31399, 894, 851, 1156, 14003, 630, 17025, 264, 538, 799, 8951, 2482, 5798, 610, 2285, 4332, 547, 741, 15556, 1510, 20282, 563, 29128, 1631, 267, 513, 2647, 2039, 540, 7103, 1519, 5017, 267, 1875, 268, 822, 1014, 20641, 899, 28499, 543, 15315, 607, 1134, 607, 930, 24991, 267, 1519, 16142, 267, 723, 1044, 3254, 547, 16196, 538, 713, 9490, 7154, 563, 4913, 267, 2055, 723, 7283, 936, 519, 12136, 540, 713, 12093, 7154, 3544, 540, 891, 9451, 24260, 1899, 1137, 1107, 1034, 16113, 538, 16015, 267, 25438, 3796, 267, 32613, 2209, 543, 575, 9618, 10118, 267, 1767, 3173, 267, 1519, 1346, 689, 519, 9098, 12443, 23855, 545, 4659, 543, 3557, 2160, 538, 519, 2475, 563, 19185, 585, 971, 513, 4686, 10285, 4640, 538, 25438, 27482, 2249, 814, 1044, 3226, 27278, 3744, 607, 891, 7103, 3668, 3023, 15954, 543, 741, 3023, 8990, 568, 6417, 676, 519, 2837, 538, 799, 5798, 1020, 543, 24011, 563, 1103, 519, 1007, 1353, 267, 3370, 593, 13723, 538, 519, 10334, 16707, 4760, 267, 3173, 723, 13006, 519, 1101, 2963, 540, 674, 303, 538, 519, 1977, 25438, 850, 267, 595, 10635, 1328, 331, 639, 1035, 583, 639, 563, 763, 5767, 1382, 568, 1759, 593, 519, 476, 1001, 279, 8343, 540, 513, 19157, 4775, 1977, 25438, 850, 4371, 538, 24811, 585, 476, 1626, 1296, 267, 799, 9788, 513, 804, 8553, 540, 5798, 267, 835, 540, 799, 8659, 513, 20559, 1043, 9087, 28127, 267, 10834, 1352, 729, 513, 4775, 899, 1200, 3993, 563, 763, 6602, 267, 2687, 547, 519, 3173, 267, 568, 519, 968, 14140, 12319, 892, 540, 713, 1360, 4686, 7154, 540, 12093, 538, 513, 25438, 850, 2249, 563, 16729, 4719, 2079, 267, 3744, 9672, 602, 519, 3993, 25438, 850, 9788, 519, 5798, 1510, 1022, 3403, 689, 513, 5256, 19898, 1107, 513, 1184, 4122, 1634, 607, 968, 341, 597, 6265, 4332, 9731, 4407, 519, 5798, 1705, 711, 24011, 267, 519, 6602, 814, 27278, 27563, 607, 621, 6920, 972, 568, 513, 1455, 12105, 5169, 540, 519, 4686, 10285, 4640, 2066, 20641, 267, 25438, 559, 2103, 543, 5017, 563, 763, 4681, 2417, 6318, 519, 7872, 602, 17255, 14077, 540, 25438, 559, 2103, 543, 5017, 971, 607, 17878, 543, 533, 614, 14795, 949, 723, 849, 1185, 713, 4686, 10285, 4640, 563, 22154, 1007, 2963, 3091, 21915, 531, 1944, 4030, 883, 519, 2009, 10285, 7207, 540, 17255, 2895, 13239, 1014, 14077, 540, 25438, 559, 2103, 267, 16113, 519, 623, 614, 13239, 807, 543, 20550, 13239, 807, 2223, 3744, 5206, 538, 519, 1353, 563, 297, 518, 727, 5975, 26385, 862, 1742, 11882, 3557, 593, 3803, 29364, 11802, 936, 3502, 516, 667, 877, 1923, 16737, 5240, 11473, 454, 296, 5129, 585, 595, 3559, 22855, 5869, 2507, 646, 4682, 476, 1240, 631, 2177, 8025, 306, 796, 18566, 523, 609, 1863, 10275, 6506, 1996, 721, 454, 29662, 758, 338, 25391, 788, 6390, 3217, 3390, 609, 13744, 31670, 332, 1310, 29070, 1101, 1554, 585, 2475, 693, 27550, 1457, 19067, 454, 12850, 1869, 513, 1966, 538, 1970, 268, 2391, 2127, 540, 20122, 7505, 454, 4338, 11682, 5588, 5308, 281, 1306, 1325, 18090, 22260, 7444, 14897, 267, 1007, 8916, 616, 17729, 538, 741, 1747, 454, 5278, 715, 13034, 269, 7264, 616, 536, 22736, 693, 606, 3921, 12099, 8506, 873, 547, 2759, 741, 1876, 985, 454, 3963, 17286, 6511, 717, 727, 345, 3680, 338, 4173, 16170, 3336, 4438, 513, 14068, 10076, 2657, 4303, 454, 2764, 11788, 4303, 28881, 1546, 1023, 1411, 2052, 19255, 589, 3650, 540, 8262, 20958, 17963, 454, 291, 787, 5696, 5241, 2659, 16164, 13201, 6181, 527, 11588, 267, 4340, 547, 20226, 454, 9199, 6665, 22398, 576, 12079, 6053, 17372, 525, 13177, 27997, 23620, 681, 636, 832, 454, 8072, 306, 3563, 654, 1161, 685, 19410, 776, 281, 717, 342, 754, 14979, 9466, 4495, 590, 4660, 8585, 328, 9466, 12984, 519, 4107, 7861, 574, 1242, 540, 918, 1328, 9466, 779, 654, 1161, 454, 3963, 8859, 1235, 5213, 1406, 13760, 19901, 1937, 787, 454, 19770, 268, 19328, 31195, 4730, 856, 593, 519, 7599, 454, 301, 1157, 623, 633, 1777, 320, 25001, 5722, 7961, 902, 607, 4414, 1924, 343, 10145, 9338, 5101, 22299, 18112, 3421, 476, 274, 268, 271, 454, 297, 600, 773, 10557, 4354, 26385, 543, 14811, 25669, 700, 2129, 534, 16874, 2048, 288, 1375, 4809, 6052, 685, 2060, 3962, 4033, 538, 2048, 26466, 21294, 11016, 20371, 21158, 2641, 3108, 3516, 454, 15187, 1415, 24660, 29808, 540, 1761, 2048, 518, 340, 1632, 540, 3642, 12454, 10617, 685, 602, 1223, 1291, 547, 2048, 684, 19960, 514, 762, 685, 4539, 454, 21158, 2420, 3108, 3516, 454, 4811, 10157, 547, 948, 2342, 2736, 922, 5607, 13863, 21341, 454, 21158, 2537, 3108, 3516, 454, 289, 27739, 16628, 3081, 2951, 3747, 6051, 568, 2048, 3467, 14388, 685, 982, 646, 16545, 454, 299, 604, 5598, 2537, 3108, 3516, 454, 8072, 763, 13642, 25328, 685, 10060, 15168, 787, 25306, 5080, 1440, 2478, 4825, 790, 618, 5851, 1763, 6342, 585, 2776, 14741, 699, 30587, 630, 13052, 12710, 4785, 25893, 994, 299, 604, 5598, 2641, 3108, 3516, 454, 19322, 339, 1415, 16176, 1772, 593, 513, 2048, 3891, 2718, 17714, 685, 2991, 14977, 2401, 12254, 531, 663, 6555, 13396, 454, 293, 12099, 2641, 3108, 3516, 454, 28324, 21595, 12213, 839, 15303, 334, 14272, 532, 2060, 23771, 268, 273, 10298, 543, 23088, 30171, 10241, 454, 21158, 1704, 3108, 3516, 454, 25187, 16234, 2161, 2229, 9505, 6658, 5526, 17149, 454, 21158, 2420, 3108, 3516, 454, 306, 1460, 628, 18065, 7333, 1098, 6107, 1072, 1416, 538, 17996, 543, 17906, 0, 9202, 281, 16511, 725, 540, 544, 22396, 2102, 543, 454, 28095, 281, 634, 3483, 540, 544 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2537, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2537, 815, 476, 13670, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2190, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2190, 815, 476, 13670, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 27698, 912, 1038, 1820, 3488, 278, 3374, 266, 27698, 815, 476, 15793, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2918, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2918, 815, 476, 15793, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2767, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2767, 815, 476, 15793, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2764, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2764, 815, 476, 15793, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3066, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3066, 815, 476, 15793, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30697, 912, 1038, 1820, 3488, 278, 3374, 266, 30697, 815, 476, 15793, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4029, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4029, 815, 476, 15793, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3953, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3953, 815, 476, 15793, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3451, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3451, 815, 476, 15793, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4097, 815, 476, 15793, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3374, 815, 476, 15389, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3607, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3607, 815, 476, 15389, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4391, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4391, 815, 476, 15389, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4343, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4343, 815, 476, 15389, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4375, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4375, 815, 476, 15389, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25953, 912, 1038, 1820, 3488, 278, 3374, 266, 25953, 815, 476, 15389, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 272, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 272, 815, 476, 15389, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 273, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 273, 815, 476, 15389, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 274, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 274, 815, 476, 15389, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4510, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4510, 815, 476, 15389, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3393, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3393, 815, 476, 15946, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 277, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 277, 815, 476, 15946, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 278, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 278, 815, 476, 15946, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4366, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4366, 815, 476, 15946, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 280, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 280, 815, 476, 15946, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7785, 912, 1038, 1820, 3488, 278, 3607, 266, 7785, 815, 476, 15836, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 31430, 912, 1038, 1820, 3488, 278, 3607, 266, 31430, 815, 476, 15836, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 273, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 273, 815, 476, 15836, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 274, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 274, 815, 476, 15836, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 275, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 275, 815, 476, 16328, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 276, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 276, 815, 476, 16328, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 277, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 277, 815, 476, 16328, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 278, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 278, 815, 476, 16328, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 279, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 279, 815, 476, 16328, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 280, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 280, 815, 476, 16328, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 29637, 912, 1038, 1820, 3488, 278, 3607, 266, 29637, 815, 476, 16328, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1556, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1556, 815, 476, 16328, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1321, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1321, 815, 476, 16328, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1724, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1724, 815, 476, 16328, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1691, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1691, 815, 476, 13670, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1428, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1428, 815, 476, 13670, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1626, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1626, 815, 476, 13670, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1704, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1704, 815, 476, 13670, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1240, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1240, 815, 476, 13670, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 866, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 866, 815, 476, 13670, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30663, 912, 1038, 1820, 3488, 278, 3607, 266, 30663, 815, 476, 13670, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2641, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2641, 815, 476, 13670, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25118, 912, 1038, 1820, 3488, 278, 3607, 266, 25118, 815, 476, 13670, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2537, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2537, 815, 476, 13670, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2190, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2190, 815, 476, 15793, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 27698, 912, 1038, 1820, 3488, 278, 3607, 266, 27698, 815, 476, 15793, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2918, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2918, 815, 476, 15793, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2767, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2767, 815, 476, 15793, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2764, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2764, 815, 476, 15793, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3066, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3066, 815, 476, 15793, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30697, 912, 1038, 1820, 3488, 278, 3607, 266, 30697, 815, 476, 15793, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4029, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 4029, 815, 476, 15793, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3953, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3953, 815, 476, 15793, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3451, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3451, 815, 476, 15793, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 4097, 815, 476, 15389, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1434, 2783, 267, 1934, 616, 930, 2081, 602, 666, 948, 912, 7021, 2224, 540, 1216, 568, 513, 1455, 2014, 540, 23170, 1062, 5821, 269, 589, 23170, 1062, 781, 2773, 10607, 950, 1216, 568, 1031, 7561, 269, 4635, 1216, 18026, 30079, 543, 31316, 1115, 267, 2921, 10156, 29636, 267, 543, 21924, 8670, 13195, 615, 543, 11067, 3684, 13907, 616, 782, 1806, 540, 2081, 547, 4688, 1216, 563, 6826, 9650, 995, 540, 1548, 3619, 525, 13560, 519, 3590, 454, 14737, 30093, 519, 6165, 540, 707, 20203, 12871, 538, 519, 10051, 666, 2057, 4396, 1628, 5346, 538, 519, 23170, 7382, 269, 901, 666, 2014, 513, 21818, 6595, 267, 899, 24571, 3101, 519, 8963, 2361, 269, 4746, 267, 835, 540, 519, 10782, 1919, 596, 666, 798, 568, 13248, 31294, 1524, 519, 8963, 269, 898, 666, 1628, 909, 543, 1106, 575, 6064, 2059, 519, 6418, 16298, 540, 707, 12775, 12992, 267, 4929, 873, 547, 24571, 269, 898, 949, 3625, 519, 8963, 2361, 936, 942, 267, 8506, 14427, 18203, 563, 4002, 519, 824, 1688, 267, 2760, 23574, 4376, 824, 982, 1480, 3653, 1524, 519, 16003, 269, 22458, 267, 1426, 29578, 267, 3032, 16445, 267, 1957, 28734, 267, 31294, 267, 512, 2086, 976, 267, 1019, 3639, 267, 7873, 1682, 267, 610, 16906, 855, 1206, 1058, 2760, 581, 1166, 19813, 1524, 519, 16003, 563, 22879, 24581, 5937, 14280, 11162, 619, 454, 10303, 936, 7308, 23716, 8963, 2973, 619, 1331, 3114, 21149, 1218, 267, 26311, 873, 1524, 519, 8963, 610, 16003, 543, 883, 519, 23170, 1062, 1522, 6146, 519, 14471, 2877, 547, 2736, 1524, 519, 17571, 538, 519, 7382, 269, 901, 1522, 1291, 547, 2042, 538, 519, 2104, 563, 2414, 2569, 519, 19717, 547, 519, 14471, 538, 519, 23170, 7382, 267, 946, 3905, 1216, 267, 513, 8963, 13131, 267, 610, 13476, 7874, 8963, 2973, 619, 563, 28406, 2659, 667, 1778, 2361, 454, 763, 8963, 2361, 568, 606, 1898, 5057, 540, 707, 23170, 1062, 269, 898, 18274, 519, 5277, 602, 2501, 856, 540, 707, 23170, 7382, 269, 1677, 2149, 621, 267, 596, 1058, 2760, 6288, 610, 5397, 936, 621, 269, 19554, 24259, 267, 1273, 3930, 267, 1286, 7964, 267, 543, 1022, 4990, 540, 30120, 5068, 1058, 849, 581, 6854, 856, 540, 713, 1858, 269, 901, 786, 2061, 519, 3037, 538, 713, 3148, 689, 11741, 532, 267, 799, 1522, 1291, 547, 7745, 12992, 269, 1411, 1590, 849, 2061, 5072, 689, 17708, 1154, 883, 707, 23170, 1062, 543, 1832, 782, 2371, 543, 4054, 513, 2922, 3845, 2476, 689, 707, 8963, 2361, 563, 11900, 1051, 543, 27124, 32279, 454, 288, 23170, 7382, 814, 547, 581, 9738, 5781, 547, 581, 6198, 543, 2635, 269, 20348, 3653, 267, 538, 1880, 267, 1590, 581, 29253, 856, 540, 519, 23170, 7382, 5781, 267, 2356, 1169, 1614, 547, 2947, 1296, 563, 2691, 596, 3346, 513, 23170, 3028, 2754, 267, 789, 786, 8524, 707, 23170, 7382, 585, 20984, 543, 5659, 519, 31993, 6106, 269, 1358, 949, 1118, 7840, 602, 666, 2087, 519, 3252, 540, 707, 23170, 1062, 563, 763, 23170, 1062, 568, 835, 540, 519, 1034, 1271, 2943, 1419, 16053, 8647, 3334, 540, 513, 1753, 269, 634, 1434, 3377, 568, 602, 23170, 1062, 909, 18141, 1281, 711, 723, 547, 581, 2352, 267, 14427, 267, 610, 942, 21791, 269, 1403, 596, 1246, 891, 2241, 5826, 4808, 267, 596, 666, 581, 21407, 602, 707, 23170, 1062, 786, 3136, 547, 1599, 3927, 585, 1082, 1296, 563, 2252, 596, 616, 3168, 585, 476, 2190, 16923, 21818, 3028, 538, 3798, 3000, 2023, 547, 1491, 1416, 540, 707, 23170, 7382, 18203, 543, 4368, 525, 538, 2836, 326, 776, 267, 22598, 267, 476, 2190, 28914, 1773, 17741, 666, 798, 519, 2816, 585, 596, 269, 3776, 2319, 24870, 538, 6595, 21818, 267, 865, 649, 666, 15983, 4194, 782, 707, 2042, 269, 16731, 938, 3896, 543, 1118, 606, 13393, 1631, 2336, 2026, 621, 568, 1419, 1767, 267, 519, 10051, 568, 519, 2295, 540, 513, 1753, 1317, 621, 568, 1141, 596, 5965, 6980, 267, 543, 3025, 5531, 338, 585, 6209, 6643, 563, 5331, 596, 2461, 538, 519, 10051, 543, 616, 827, 547, 5965, 513, 7594, 585, 519, 1920, 269, 2311, 602, 4090, 267, 596, 2253, 547, 5469, 513, 1187, 5652, 9329, 602, 5956, 547, 11145, 707, 3007, 269, 1411, 2638, 707, 20203, 12871, 267, 543, 621, 779, 711, 4947, 689, 972, 282, 596, 2638, 707, 17885, 10822, 267, 543, 621, 779, 1869, 711, 972, 269, 7316, 568, 621, 4947, 689, 888, 5475, 513, 3787, 811, 3406, 267, 596, 8275, 602, 519, 562, 7360, 9329, 568, 4947, 689, 707, 28368, 256, 590, 3855, 616, 1141, 1159, 11481, 28368, 1419, 6565, 689, 1317, 540, 519, 1426, 602, 568, 18233, 1524, 873, 269, 1717, 267, 596, 666, 849, 723, 1159, 11481, 28368, 689, 519, 8685, 610, 17643, 563, 1432, 15486, 674, 9567, 667, 1778, 3911, 20635, 888, 2467, 616, 1082, 3123, 3297, 1159, 11481, 28368, 269, 1280, 835, 267, 11935, 899, 1426, 29578, 267, 31294, 267, 4552, 267, 610, 12853, 21225, 602, 1899, 707, 12992, 949, 2014, 519, 8963, 547, 9329, 1317, 540, 519, 4551, 789, 4482, 602, 13847, 891, 562, 7360, 5212, 2293, 269, 1849, 690, 3022, 8963, 12992, 610, 642, 757, 666, 849, 4734, 596, 609, 588, 1446, 5212, 2293, 1317, 789, 3895, 22376, 1375, 880, 1216, 3350, 563, 8448, 982, 602, 267, 1256, 22285, 543, 7646, 1168, 949, 2014, 562, 7360, 23337, 2454, 28368, 269, 8616, 267, 621, 1223, 849, 581, 1813, 547, 29326, 9362, 602, 4473, 909, 689, 519, 28368, 563, 1103, 519, 2013, 602, 596, 9329, 513, 4232, 1084, 4212, 9329, 267, 621, 1223, 581, 1813, 547, 513, 4551, 602, 568, 538, 707, 3905, 1216, 7382, 602, 23465, 609, 519, 20962, 919, 538, 707, 1216, 269, 7831, 855, 711, 2547, 267, 21818, 9073, 949, 2014, 513, 3983, 9329, 547, 2097, 689, 707, 28368, 269, 589, 7508, 623, 2389, 1905, 610, 8963, 5887, 666, 2014, 2178, 5212, 2293, 267, 607, 1134, 607, 20984, 610, 4232, 1154, 8963, 13740, 563, 1692, 1684, 1411, 5192, 681, 573, 2986, 634, 3911, 749, 888, 2691, 596, 723, 5462, 519, 2014, 540, 519, 562, 7360, 5212, 712, 267, 621, 779, 942, 547, 9004, 621, 676, 1210, 519, 1739, 4388, 912, 21093, 7759, 540, 519, 562, 7360, 8963, 24462, 949, 3100, 2653, 693, 1101, 269, 8616, 267, 952, 596, 723, 6836, 1585, 15361, 543, 4986, 4667, 547, 960, 267, 602, 779, 519, 942, 596, 991, 3318, 948, 2336, 4263, 713, 1448, 267, 596, 1631, 917, 519, 1585, 3123, 540, 562, 7360, 8963, 5212, 712, 543, 519, 1585, 3268, 547, 7753, 621, 269, 1280, 2053, 950, 602, 562, 7360, 9329, 1175, 4465, 1406, 979, 2476, 1310, 3257, 1753, 3435, 267, 972, 1223, 581, 1945, 3116, 2469, 593, 3297, 707, 21818, 1062, 602, 949, 2154, 3318, 6304, 269, 1403, 602, 779, 519, 2013, 267, 1491, 519, 942, 547, 1265, 513, 6325, 726, 3784, 538, 707, 1858, 547, 2327, 519, 1655, 3028, 602, 1223, 4625, 9004, 602, 562, 7360, 8963, 9329, 563, 6701, 596, 3168, 585, 6325, 476, 2190, 16923, 21818, 3028, 286, 2311, 17073, 1773, 17741, 1299, 1261, 908, 267, 649, 723, 936, 476, 736, 1296, 540, 1995, 3246, 1283, 7779, 21818, 2533, 267, 543, 938, 4966, 616, 6131, 547, 1283, 7779, 6075, 2533, 269, 5192, 538, 5905, 609, 721, 2221, 547, 8430, 707, 13393, 2336, 31010, 1753, 21818, 568, 5051, 4742, 32462, 585, 1082, 21427, 1317, 540, 519, 2489, 25749, 267, 799, 18922, 883, 14427, 267, 2462, 6066, 18203, 269, 18641, 585, 596, 267, 596, 666, 2057, 891, 21818, 32657, 2355, 952, 596, 1175, 1832, 2542, 563, 1607, 2376, 786, 1683, 596, 609, 2185, 1455, 21818, 14868, 269, 6875, 713, 607, 606, 4316, 547, 4688, 707, 1920, 689, 28842, 1304, 21818, 2042, 543, 9797, 3310, 707, 2828, 543, 1920, 676, 4687, 713, 12905, 1344, 563, 5522, 17741, 568, 1419, 2938, 607, 513, 2367, 658, 4305, 267, 855, 621, 6585, 513, 2603, 811, 1271, 982, 596, 949, 581, 4758, 621, 269, 3371, 616, 2185, 1455, 7622, 21818, 14868, 596, 991, 547, 3247, 18468, 538, 912, 14197, 5851, 1773, 17741, 1772, 14168, 547, 674, 1460, 269, 2353, 1411, 10261, 1772, 25126, 538, 2659, 5600, 3835, 547, 22067, 5455, 609, 513, 16797, 8827, 454, 1607, 7242, 267, 676, 2484, 267, 568, 519, 1034, 14124, 1753, 21818, 2152, 602, 991, 547, 3247, 269, 1703, 616, 1082, 8075, 609, 12992, 602, 949, 723, 1569, 547, 1216, 267, 855, 789, 616, 3810, 7925, 547, 24694, 543, 16802, 532, 269, 1703, 616, 849, 7653, 602, 666, 4734, 8075, 11630, 547, 513, 21818, 6595, 267, 29070, 8374, 609, 519, 1216, 3761, 602, 21279, 547, 25010, 707, 3959, 543, 1439, 9734, 707, 1920, 563, 4131, 779, 2161, 596, 1294, 513, 5634, 24694, 538, 707, 10051, 269, 1411, 723, 707, 7649, 968, 25785, 892, 621, 676, 7311, 930, 570, 1030, 23127, 11746, 547, 519, 16060, 543, 8720, 519, 10612, 609, 930, 2706, 15441, 269, 4634, 952, 621, 17303, 4368, 525, 519, 13451, 267, 713, 666, 1860, 707, 2898, 21818, 1062, 563, 2791, 1294, 267, 707, 27983, 616, 899, 513, 2295, 269, 1403, 1256, 835, 540, 519, 5634, 11444, 568, 8697, 267, 519, 2898, 1062, 8813, 6306, 269, 1411, 991, 547, 2708, 519, 3003, 1062, 547, 2327, 602, 972, 4465, 1406, 581, 2152, 538, 519, 1279, 2196, 267, 2495, 596, 991, 547, 723, 2930, 1702, 540, 21818, 267, 1216, 2095, 267, 543, 824, 1644, 1995, 563, 2690, 707, 7622, 779, 3106, 543, 13418, 267, 1451, 811, 827, 6595, 726, 3784, 2533, 998, 721, 693, 476, 2190, 28914, 1773, 17741, 1299, 1261, 908, 563, 293, 14072, 1115, 26431, 2274, 752, 3683, 5384, 9603, 547, 15901, 730, 2422, 267, 1924, 1411, 9701, 333, 1406, 1937, 787, 454, 8133, 267, 1455, 1753, 31316, 1115, 798, 13451, 1317, 7928, 3096, 666, 3138, 4923, 909, 519, 8800, 267, 971, 607, 519, 1292, 11896, 543, 519, 25336, 269, 1717, 267, 596, 12582, 1406, 11716, 621, 269, 2913, 1154, 707, 31316, 1115, 13451, 666, 6318, 707, 1216, 3915, 3790, 543, 849, 2014, 707, 16173, 543, 12992, 547, 1205, 15309, 344, 269, 2274, 1136, 31316, 1115, 849, 5815, 602, 519, 1216, 2604, 949, 711, 581, 4881, 12347, 269, 1403, 596, 1294, 31316, 564, 20984, 267, 1289, 707, 2199, 726, 3784, 5612, 563, 14503, 2313, 762, 27294, 5213, 1406, 1849, 690, 5455, 519, 29828, 720, 454, 763, 1966, 609, 23574, 762, 3688, 568, 789, 949, 23271, 2899, 6534, 547, 1216, 267, 855, 789, 1810, 1406, 1205, 998, 12775, 3362, 269, 5457, 1765, 20365, 2777, 779, 12775, 814, 547, 1205, 7759, 540, 513, 2603, 540, 3232, 3653, 267, 899, 32740, 2339, 267, 1989, 830, 689, 519, 16173, 267, 543, 3282, 563, 5472, 891, 1875, 22286, 2313, 762, 543, 865, 10777, 23574, 762, 666, 804, 2794, 1927, 543, 1106, 513, 2481, 6438, 31797, 538, 707, 12775, 267, 1439, 836, 1359, 707, 10612, 1949, 269, 11910, 938, 6595, 726, 13246, 547, 2638, 707, 12775, 547, 8524, 585, 29326, 1394, 5725, 563, 5141, 690, 3022, 26932, 3894, 286, 2422, 19748, 517, 4236, 823, 543, 4033, 15188, 5174, 4454, 667, 1778, 27686, 10298, 269, 2334, 4024, 1684, 519, 570, 4459, 454, 2791, 949, 723, 4862, 713, 5796, 689, 707, 16705, 610, 513, 1134, 268, 26074, 1920, 4759, 267, 855, 26311, 15755, 15559, 1524, 707, 18180, 666, 25010, 519, 2298, 540, 707, 12775, 1062, 269, 901, 5739, 7848, 540, 6464, 666, 849, 6861, 707, 20203, 12871, 267, 7133, 922, 4398, 538, 8840, 1524, 22837, 563, 2252, 596, 723, 513, 24571, 3022, 10051, 16173, 267, 938, 4274, 726, 13246, 4363, 602, 596, 2490, 1055, 707, 20203, 12871, 1101, 267, 13248, 3636, 1216, 883, 519, 16173, 609, 5277, 8670, 31290, 12853, 267, 543, 1287, 28103, 519, 1989, 830, 9900, 609, 513, 1279, 10612, 7738, 11453, 269, 1411, 666, 849, 1289, 938, 8963, 7738, 4966, 585, 707, 13418, 563, 2791, 949, 1589, 602, 707, 18789, 4368, 525, 543, 1455, 7622, 21818, 2152, 616, 3339, 267, 855, 972, 949, 581, 10296, 4145, 602, 596, 616, 24937, 269, 1411, 1223, 26968, 5944, 581, 20392, 707, 1920, 547, 1390, 28842, 7891, 543, 14427, 14796, 269, 5620, 707, 21818, 13761, 543, 30465, 2221, 2336, 2190, 28914, 1773, 17741, 1299, 1261, 908, 568, 707, 3318, 2319, 540, 6595, 726, 13246, 538, 2836, 326, 776, 9280, 585, 1022, 2777, 21818, 6595, 269, 1284, 666, 1683, 596, 609, 519, 1655, 21818, 3435, 547, 1832, 707, 1216, 2095, 543, 12775, 3810, 3608, 269, 16731, 938, 3896, 2221, 256, 0, 5475, 4928, 9885, 9505, 339, 1229, 538, 4728, 540, 476, 1708, 271, 267, 5691, 3450, 4957, 875, 649, 9447, 938, 1148 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31164, 6906, 568, 476, 279, 4699, 563, 30043, 9351, 540, 519, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 7268, 9507, 346, 306, 728, 4153, 2431, 264, 8703, 273, 4151, 13483, 269, 4559, 454, 284, 1109, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 263, 279, 9368, 264, 8703, 273, 4151, 4699, 273, 454, 284, 4399, 3847, 7268, 2765, 3189, 6912, 346, 274, 12453, 275, 348, 9943, 5038, 9368, 7751, 4699, 273, 815, 1269, 1626, 25490, 346, 274, 4151, 4699, 273, 692, 2971, 7726, 476, 1428, 1384, 763, 4463, 540, 606, 31164, 6906, 568, 1109, 7445, 6912, 346, 277, 4151, 4699, 269, 4706, 1858, 568, 692, 5416, 264, 1269, 274, 25490, 346, 274, 4151, 4699, 273, 454, 6357, 264, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 454, 6262, 264, 1269, 273, 25490, 346, 273, 4151, 4699, 273, 454, 5560, 264, 1269, 277, 25490, 346, 273, 4151, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 692, 4131, 18529, 27398, 581, 606, 31164, 6906, 609, 835, 2427, 540, 519, 3259, 513, 4699, 563, 13312, 21192, 540, 606, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 273, 348, 320, 259, 4699, 454, 7445, 2765, 3189, 6912, 346, 274, 12453, 273, 348, 320, 7807, 6912, 346, 277, 21456, 320, 815, 4399, 2765, 3189, 6912, 346, 277, 348, 9943, 273, 7346, 6912, 346, 274, 3686, 7807, 2765, 3189, 6912, 346, 274, 348, 9943, 315, 6912, 346, 273, 348, 9943, 273, 7346, 6912, 346, 274, 3686, 284, 273, 25490, 346, 273, 4151, 4699, 454, 22704, 540, 519, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 2410, 320, 8703, 273, 21456, 284, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 263, 273, 25490, 346, 273, 4153, 2431, 264, 8703, 273, 4151, 4699, 273, 815, 4399, 3847, 7268, 2765, 3189, 6912, 346, 274, 12453, 275, 348, 9943, 279, 9368, 7751, 4699, 273, 815, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 692, 2971, 7726, 476, 1626, 1384, 3080, 2427, 540, 513, 25521, 568, 476, 1626, 4699, 543, 519, 3845, 540, 713, 2427, 689, 519, 6587, 2427, 568, 476, 275, 269, 276, 4699, 269, 634, 1858, 540, 519, 25521, 568, 692, 5416, 264, 476, 3607, 4699, 273, 454, 6357, 264, 476, 7761, 4699, 273, 454, 6262, 264, 476, 1240, 4699, 273, 454, 5560, 264, 476, 7918, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 476, 7761, 4699, 273, 692, 26015, 540, 519, 25521, 815, 476, 1626, 4699, 454, 3891, 697, 540, 519, 25521, 815, 476, 275, 269, 276, 4699, 454, 30043, 9351, 540, 519, 25521, 815, 12476, 6398, 27551, 454, 284, 630, 1626, 6398, 476, 275, 269, 276, 264, 4699, 273, 1109, 815, 476, 7761, 4699, 273, 692, 2971, 7726, 476, 1704, 1384, 763, 13080, 540, 519, 32377, 540, 513, 32077, 639, 616, 476, 2190, 4699, 543, 476, 1240, 4699, 6606, 269, 4706, 1858, 568, 692, 5416, 264, 476, 28242, 4699, 273, 454, 6357, 264, 476, 21327, 4699, 273, 454, 6262, 264, 476, 10482, 4699, 273, 454, 5560, 264, 476, 13893, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 476, 21327, 4699, 273, 692, 21920, 540, 835, 15497, 815, 476, 2190, 4699, 454, 21920, 540, 519, 824, 15497, 815, 476, 1240, 4699, 454, 30043, 9351, 540, 519, 32077, 639, 815, 1109, 7445, 2765, 346, 272, 2410, 273, 4151, 6398, 630, 29410, 540, 519, 32377, 994, 284, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 9943, 2190, 9943, 1240, 9368, 7751, 4699, 273, 815, 476, 21327, 4699, 273, 692, 2971, 7726, 476, 1240, 1384, 763, 3017, 1063, 519, 18592, 543, 8953, 540, 513, 5858, 568, 476, 4391, 4699, 269, 634, 1858, 540, 519, 5858, 568, 692, 5416, 264, 476, 9340, 4699, 273, 454, 6357, 264, 476, 16825, 4699, 273, 454, 6262, 264, 476, 15150, 4699, 273, 454, 5560, 264, 476, 28796, 4699, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 15150, 4699, 273, 692, 4131, 519, 8953, 540, 519, 5858, 581, 678, 4699, 563, 290, 1844, 636, 12401, 815, 1269, 273, 315, 9507, 3189, 7032, 678, 10592, 18154, 1844, 636, 12401, 264, 910, 630, 20238, 3780, 264, 815, 476, 4391, 692, 259, 337, 13375, 263, 273, 315, 9507, 3189, 7032, 7684, 268, 272, 9368, 6661, 4391, 14204, 337, 815, 4399, 2765, 346, 4391, 7346, 3847, 263, 273, 315, 9507, 3189, 7032, 7684, 268, 272, 9368, 264, 4151, 815, 4399, 2765, 346, 4391, 7346, 3847, 263, 273, 9943, 315, 2765, 346, 2420, 2410, 278, 18511, 272, 9368, 14587, 7807, 2765, 346, 4391, 7346, 3847, 7268, 2765, 346, 4510, 2410, 278, 18511, 272, 9368, 14587, 7807, 2765, 346, 4391, 7346, 3847, 7268, 2765, 346, 4510, 268, 278, 2410, 278, 4153, 2431, 14587, 7807, 3847, 7268, 2765, 346, 4391, 9943, 278, 2410, 4391, 4153, 2431, 6661, 278, 14204, 30043, 7101, 3780, 540, 519, 2016, 5858, 568, 476, 278, 4699, 563, 30043, 9351, 815, 12276, 9507, 3189, 7032, 678, 3686, 3867, 273, 4151, 815, 4399, 3847, 7268, 2765, 346, 2420, 2410, 278, 348, 9943, 278, 9943, 278, 9368, 7751, 4699, 273, 815, 476, 15150, 4699, 273, 692, 2971, 7726, 476, 866, 1384, 763, 15943, 540, 519, 6989, 540, 513, 4055, 568, 476, 1240, 544, 543, 922, 4463, 568, 476, 274, 544, 269, 1548, 568, 519, 1858, 540, 476, 275, 6821, 540, 519, 4055, 2496, 5416, 264, 476, 2641, 544, 273, 454, 6357, 264, 476, 5655, 544, 273, 454, 6262, 264, 476, 7918, 544, 273, 454, 5560, 264, 476, 10482, 544, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 7918, 544, 273, 692, 11693, 912, 8110, 9014, 540, 519, 6989, 815, 476, 273, 10857, 1341, 536, 264, 815, 476, 1240, 544, 454, 3891, 697, 540, 519, 4055, 815, 476, 274, 544, 692, 30043, 9351, 540, 519, 2185, 6821, 815, 2715, 273, 10857, 1341, 536, 264, 6398, 554, 8679, 284, 32309, 1109, 9943, 27551, 454, 284, 476, 1240, 544, 1109, 9943, 476, 274, 544, 815, 476, 7918, 544, 273, 692, 2971, 7726, 476, 736, 1384, 1692, 1082, 15432, 540, 24095, 476, 8287, 4699, 2647, 786, 581, 2838, 547, 3382, 519, 6989, 540, 513, 4055, 476, 1691, 544, 676, 476, 280, 544, 2496, 5416, 264, 476, 1220, 544, 454, 6357, 264, 476, 13975, 544, 454, 6262, 264, 476, 13136, 544, 454, 5560, 264, 476, 6977, 544, 692, 2971, 8382, 1384, 5416, 264, 476, 1220, 544, 692, 22704, 540, 519, 6989, 540, 513, 4055, 815, 476, 1691, 544, 6398, 476, 280, 544, 815, 476, 14695, 544, 273, 692, 310, 5954, 540, 519, 24095, 815, 476, 8287, 4699, 815, 476, 271, 269, 8287, 544, 7673, 13725, 630, 26238, 476, 1911, 4699, 815, 476, 272, 544, 2020, 30043, 22490, 3259, 540, 519, 24095, 21591, 284, 692, 2971, 7726, 476, 2641, 1384, 2252, 519, 15497, 540, 513, 13551, 568, 476, 1704, 4699, 1279, 543, 922, 15943, 568, 476, 5379, 4699, 267, 519, 1858, 540, 519, 13551, 568, 692, 5416, 264, 476, 1911, 4699, 273, 454, 6357, 264, 476, 8099, 4699, 273, 454, 6262, 264, 476, 6344, 4699, 273, 454, 5560, 264, 476, 5611, 4699, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 6344, 4699, 273, 692, 4131, 519, 3259, 540, 519, 13551, 581, 1535, 4699, 543, 519, 4560, 581, 586, 4699, 563, 22704, 540, 519, 13551, 815, 27976, 4699, 273, 454, 8110, 9014, 540, 519, 13551, 815, 476, 273, 263, 1535, 1341, 586, 264, 815, 476, 5379, 4699, 7673, 1109, 630, 326, 1508, 994, 22382, 476, 273, 263, 1535, 1341, 586, 264, 815, 476, 5379, 454, 22382, 630, 1535, 1341, 586, 264, 815, 4399, 3847, 7268, 2765, 346, 5379, 2410, 273, 4153, 2431, 7751, 4699, 815, 476, 2537, 4699, 692, 13312, 21192, 540, 519, 13551, 815, 4399, 6912, 13997, 343, 8703, 273, 15396, 346, 344, 8703, 273, 22288, 815, 476, 1704, 4699, 454, 22382, 1109, 4399, 6912, 13997, 343, 8703, 273, 15396, 346, 344, 8703, 273, 22288, 815, 476, 1704, 692, 306, 638, 2130, 1312, 519, 5011, 267, 649, 1205, 912, 343, 273, 1341, 586, 273, 815, 630, 1704, 264, 273, 454, 343, 273, 1341, 586, 273, 815, 476, 29579, 692, 3086, 267, 630, 343, 273, 1341, 586, 273, 264, 815, 630, 1535, 1341, 586, 264, 273, 910, 476, 273, 15383, 454, 22382, 476, 273, 15383, 815, 630, 1535, 1341, 586, 264, 273, 910, 630, 343, 273, 1341, 586, 273, 994, 284, 630, 2537, 264, 273, 910, 476, 29579, 454, 284, 476, 276, 3066, 910, 476, 29579, 815, 476, 13301, 454, 15383, 815, 4399, 3847, 7268, 2765, 346, 13301, 2410, 273, 4153, 2431, 7751, 4699, 273, 815, 476, 6344, 4699, 273, 692, 2971, 7726, 476, 2420, 1384, 2252, 519, 5223, 540, 519, 2127, 540, 1079, 10945, 568, 476, 280, 2433, 476, 272, 267, 1287, 519, 5223, 540, 741, 829, 12281, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 476, 274, 2433, 476, 272, 454, 6262, 264, 476, 274, 2433, 476, 273, 454, 5560, 264, 476, 275, 2433, 476, 272, 692, 2971, 8382, 1384, 6357, 264, 476, 274, 281, 272, 692, 4131, 513, 2427, 540, 519, 1101, 4009, 581, 513, 4699, 543, 602, 540, 519, 2034, 4009, 581, 536, 4699, 563, 10190, 267, 741, 2127, 786, 581, 513, 273, 543, 536, 273, 267, 6606, 563, 19853, 829, 12281, 786, 581, 476, 275, 320, 543, 476, 275, 321, 267, 6606, 780, 6097, 547, 519, 2243, 912, 7445, 2765, 13997, 320, 8703, 273, 12453, 346, 321, 8703, 273, 3686, 7807, 2765, 346, 280, 2410, 272, 6525, 3189, 3847, 7268, 2765, 21151, 2410, 321, 4153, 2431, 264, 8703, 273, 18098, 2765, 346, 280, 2410, 272, 13157, 3189, 3847, 7268, 2765, 346, 274, 2410, 272, 4153, 2431, 264, 8703, 273, 6525, 315, 2765, 21151, 2410, 321, 18098, 2765, 346, 274, 2410, 272, 10592, 30043, 22490, 5223, 540, 519, 829, 12281, 815, 4399, 2765, 346, 275, 320, 2410, 275, 321, 18098, 2765, 346, 275, 9943, 274, 2410, 275, 9943, 272, 18098, 2765, 346, 274, 2410, 272, 4151, 284, 476, 274, 281, 272, 692, 2971, 7726, 476, 2537, 1384, 763, 5223, 540, 519, 2127, 540, 1079, 10945, 267, 835, 2348, 922, 15497, 5595, 602, 540, 519, 824, 267, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 476, 274, 2433, 476, 272, 454, 6262, 264, 476, 274, 2433, 476, 273, 454, 5560, 264, 476, 275, 2433, 476, 272, 692, 2971, 8382, 1384, 5560, 264, 476, 275, 281, 272, 692, 4131, 519, 32377, 581, 476, 273, 323, 543, 546, 563, 22704, 540, 519, 4009, 815, 4399, 3847, 24560, 2765, 346, 272, 2410, 273, 348, 9943, 3189, 3847, 7268, 9507, 346, 13312, 21192, 4153, 2431, 264, 8703, 273, 4153, 2431, 316, 259, 13483, 269, 4559, 454, 26473, 1600, 5223, 815, 4399, 2765, 13997, 288, 13925, 272, 12453, 346, 288, 13925, 273, 3686, 7807, 2765, 3189, 2765, 346, 272, 2410, 273, 7346, 3847, 263, 273, 323, 9368, 264, 8703, 273, 24828, 2765, 346, 272, 2410, 273, 7346, 3847, 5560, 9368, 264, 8703, 273, 3686, 7807, 2765, 346, 275, 18097, 8703, 273, 12453, 346, 323, 8703, 273, 3686, 7807, 2765, 346, 275, 2410, 272, 13157, 275, 281, 272, 6911, 2971, 7726, 476, 2190, 1384, 763, 1858, 540, 513, 13551, 476, 13893, 544, 1279, 568, 519, 1482, 607, 602, 540, 513, 4009, 540, 2427, 476, 10019, 544, 269, 634, 8700, 540, 519, 13551, 568, 692, 5416, 264, 476, 278, 544, 454, 6357, 264, 476, 1691, 544, 454, 6262, 264, 476, 5392, 544, 454, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 6262, 264, 476, 5392, 544, 692, 4131, 519, 8700, 540, 519, 13551, 581, 1535, 544, 780, 11693, 912, 22704, 540, 519, 13551, 815, 9351, 540, 519, 4009, 454, 22382, 20099, 6398, 654, 5954, 815, 17121, 6398, 17121, 454, 22382, 630, 13893, 6398, 1535, 264, 815, 476, 10019, 6398, 476, 10019, 454, 30043, 654, 5954, 630, 343, 264, 815, 4399, 3847, 7268, 2765, 346, 10019, 9943, 10019, 2410, 13893, 4153, 2431, 7751, 544, 815, 476, 5392, 544, 454, 17798, 267, 8700, 540, 519, 13551, 568, 476, 5392, 544, 780, 2971, 7726, 476, 1839, 1384, 763, 5223, 540, 519, 1858, 540, 513, 4009, 540, 2427, 513, 543, 602, 540, 606, 31164, 6906, 540, 2427, 513, 267, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 1269, 273, 24097, 6912, 346, 274, 21456, 6262, 264, 476, 275, 2433, 476, 274, 454, 5560, 264, 1269, 275, 24097, 6912, 346, 274, 10592, 2971, 8382, 1384, 5560, 264, 1269, 275, 24097 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27558, 689, 28492, 609, 513, 13310, 2146, 6402, 20410, 19274, 27558, 12693, 16629, 773, 1411, 2731, 1118, 621, 3100, 865, 2653, 609, 707, 6881, 855, 594, 1265, 713, 2339, 547, 581, 2965, 1945, 799, 594, 1589, 594, 1131, 2760, 1174, 269, 898, 4667, 1932, 1950, 543, 5393, 3376, 585, 803, 269, 594, 6557, 3168, 4464, 585, 707, 1985, 2022, 267, 594, 786, 2119, 547, 1205, 519, 13793, 540, 621, 256, 4746, 3643, 1250, 1357, 5816, 910, 11714, 13194, 9326, 31224, 17095, 16417, 9686, 4138, 4344, 16068, 4709, 20977, 13953, 4709, 20413, 32553, 3378, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 6601, 1777, 288, 1663, 571, 12693, 31656, 21220, 13135, 2022, 269, 3371, 568, 1250, 1357, 21935, 282, 7603, 549, 671, 910, 5291, 2517, 322, 7973, 578, 718, 1993, 3333, 877, 2593, 27651, 21703, 286, 27583, 284, 27165, 281, 30265, 663, 7021, 560, 22901, 12693, 14472, 531, 785, 594, 4076, 1224, 1896, 1175, 1318, 8631, 1934, 269, 4347, 17802, 1871, 1433, 5658, 532, 585, 20460, 1746, 269, 594, 4898, 875, 513, 2603, 3801, 596, 1747, 547, 1118, 713, 1826, 540, 9735, 13181, 1357, 3135, 269, 4746, 3643, 1250, 2985, 282, 12263, 3797, 585, 19704, 12693, 29527, 334, 594, 798, 3858, 609, 782, 519, 2093, 596, 723, 4843, 585, 707, 2022, 269, 1358, 616, 2731, 20310, 543, 666, 9090, 960, 269, 12846, 267, 519, 9708, 616, 1360, 2110, 585, 18051, 1182, 269, 2904, 596, 5225, 8831, 873, 513, 3787, 689, 1985, 942, 286, 11289, 596, 585, 519, 2022, 269, 3371, 568, 1250, 3896, 281, 911, 6767, 25877, 1596, 334, 9479, 476, 1001, 280, 12693, 2441, 514, 594, 5963, 2648, 707, 3896, 907, 15020, 8799, 4778, 1299, 6249, 269, 9894, 596, 1020, 713, 1357, 3135, 3054, 286, 7490, 16253, 1394, 607, 594, 6557, 3168, 547, 1711, 1250, 1360, 1378, 3896, 543, 1131, 899, 547, 917, 1141, 596, 3893, 713, 689, 610, 4010, 1018, 519, 6249, 568, 1572, 269, 918, 16997, 256, 1250, 1753, 2457, 282, 3487, 1156, 807, 910, 5291, 2517, 1260, 13586, 663, 1598, 1538, 625, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6349, 270, 663, 2173, 820, 6253, 846, 2914, 14833, 3887, 520, 268, 11794, 1673, 2884, 11258, 12693, 586, 2145, 1214, 343, 4944, 4444, 19274, 27558, 562, 26338, 5291, 2517, 31095, 22967, 6255, 325, 323, 2593, 19274, 27558, 476, 1839, 16936, 12693, 28167, 10158, 3579, 256, 2368, 1360, 4570, 2798, 256, 594, 5660, 596, 4050, 940, 713, 2328, 5346, 543, 519, 1964, 540, 519, 3896, 568, 1360, 1434, 269, 3733, 1357, 21935, 669, 3089, 1782, 1000, 559, 697, 12693, 26791, 6701, 928, 12693, 8419, 20056, 550, 1259, 540, 10213, 267, 543, 3728, 573, 1190, 2376, 547, 1491, 1344, 827, 1250, 6881, 1888, 267, 799, 1775, 993, 2469, 547, 1459, 538, 1153, 269, 16731, 1250, 2546, 2560, 538, 531, 9369, 1111, 515, 31521, 269, 24108, 4944, 582, 2593, 12693, 19681, 541, 2904, 594, 3274, 2161, 1018, 513, 8323, 547, 3605, 18825, 945, 2731, 6487, 1018, 789, 2461, 6158, 827, 936, 519, 4950, 269, 1411, 6157, 1174, 875, 547, 3142, 606, 3390, 547, 1769, 543, 1118, 621, 1271, 269, 2859, 543, 811, 1004, 1590, 2638, 713, 856, 543, 1174, 713, 2427, 540, 707, 1650, 269, 898, 779, 9670, 596, 2461, 711, 811, 2442, 2094, 596, 6157, 723, 519, 10516, 269, 18461, 1863, 547, 3643, 1250, 3896, 2560, 700, 3626, 910, 5291, 2517, 328, 2914, 746, 15515, 3620, 7026, 268, 28785, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 4905, 270, 933, 22433, 3887, 520, 268, 11794, 23073, 11258, 12693, 4165, 334, 6839, 974, 28982, 267, 3026, 520, 2022, 269, 1703, 779, 513, 1966, 609, 707, 3896, 538, 4950, 24413, 267, 1522, 1449, 713, 286, 594, 292, 20866, 568, 519, 2344, 8783, 543, 513, 2462, 3296, 540, 1004, 786, 4413, 707, 8748, 1603, 1317, 540, 713, 1966, 269, 4746, 3643, 1250, 5816, 2022, 910, 19664, 11986, 910, 5291, 2517, 339, 712, 24842, 268, 16651, 2173, 698, 8872, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6349, 270, 10472, 28104, 2914, 1877, 2914, 1679, 11325, 2000, 770, 11258, 12693, 2776, 4109, 20056, 550, 267, 1018, 513, 1357, 3135, 621, 568, 256, 901, 1357, 3135, 2488, 5363, 1344, 547, 721, 267, 1832, 621, 909, 269, 3733, 1753, 2457, 12070, 6975, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 20908, 572, 293, 334, 655, 312, 1100, 13310, 19274, 27558, 13598, 19274, 27558, 1510, 20478, 2228, 13310, 2999, 320, 27430, 284, 10674, 2517, 12858, 698, 2784, 334, 4701, 330, 961, 337, 2593, 270, 258, 285, 12858, 27558, 1510, 4387, 13310, 9572, 320, 285, 521, 843, 523, 2378, 559, 1510, 513, 4387, 779, 13310, 13598, 19274, 27558, 1510, 20478, 5547, 9794, 546, 12447, 533, 269, 4731, 2292, 2999, 320, 27430, 284, 10674, 2517, 12858, 698, 3863, 603, 719, 4777, 2758, 329, 342, 32142, 2593, 270, 258, 285, 12858, 27558, 1510, 4387, 13310, 4140, 874, 1301, 2329, 9572, 320, 285, 798, 596, 991, 513, 13310, 585, 19274, 27558, 12693, 28471, 330, 325, 749, 1728, 340, 2999, 320, 27430, 284, 10059, 2517, 26020, 322, 553, 514, 690, 1868, 2452, 30994, 3820, 270, 285, 322, 553, 3626, 22429, 9479, 9572, 320, 285, 12693, 554, 15238, 327, 577, 568, 972, 513, 3020, 13598, 19274, 27558, 5291, 2517, 4754, 6598, 14428, 1301, 2329, 517, 2593, 2999, 320, 27430, 284, 10674, 2517, 4754, 6598, 14428, 1301, 2329, 517, 2593, 285, 321, 8500, 19274, 27558, 2228, 721, 320, 9572, 320, 285, 12693, 16410, 8403, 528, 342, 2999, 320, 27430, 284, 10674, 2517, 335, 27364, 1662, 14492, 270, 276, 1428, 4037, 270, 4817, 273, 277, 2918, 270, 20565, 320, 285, 2843, 509, 17201, 7846, 10948, 4138, 31224, 27188, 9261, 21162, 13953, 25338, 4138, 30718, 16417, 9261, 22917, 527, 517, 11714, 5284, 371, 9261, 5284, 370, 21170, 10780, 3378, 25602, 9686, 16417, 4736, 7846, 5291, 2517, 4226, 269, 4777, 13624, 600, 527, 517, 2843, 351, 17201, 9841, 7549, 3378, 2843, 375, 4138, 20732, 9841, 17095, 3522, 10948, 3264, 13150, 8563, 12811, 21162, 3264, 476, 4344, 13833, 3522, 4814, 9924, 15800, 10780, 3378, 10780, 23485, 27671, 6459, 27671, 9924, 9261, 476, 25000, 23485, 32553, 3522, 9261, 11714, 476, 4344, 21134, 24893, 25986, 6459, 3264, 476, 26580, 20265, 23783, 21162, 13953, 11012, 7549, 13077, 16648, 22917, 527, 517, 10780, 17201, 7846, 10948, 4138, 31224, 21660, 11012, 3264, 15671, 19757, 4709, 9326, 20732, 17221, 13953, 18194, 12811, 9841, 10780, 3378, 16068, 15671, 4814, 21134, 4709, 26281, 11012, 24012, 9686, 7549, 3264, 256, 2843, 507, 3522, 20732, 4138, 476, 4814, 17201, 4138, 24012, 21660, 16044, 492, 4344, 7846, 16648, 281, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 313, 5937, 341, 343, 303, 343, 293, 271, 336, 300, 285, 396, 352, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 300, 330, 323, 7644, 335, 313, 7666, 336, 300, 285, 299, 600, 527, 517, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 292, 295, 8085, 305, 1993, 8064, 292, 271, 285, 299, 600, 527, 517, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 267, 27188, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 267, 16044, 484, 12811, 3522, 267, 16068, 4344, 13194, 9924, 8563, 9924, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 300, 330, 323, 7644, 335, 313, 7666, 336, 300, 285, 396, 352, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 11714, 4138, 9686, 3264, 3378, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 327, 268, 280, 303, 276, 291, 5746, 1723, 275, 285, 299, 600, 527, 517, 9572, 320, 285, 12693, 6601, 1777, 288, 1663, 571, 12693, 2558, 514, 21059, 28982, 267, 9493, 1695, 713, 4062, 540, 1603, 568, 5963, 1434, 543, 594, 723, 4121, 2603, 540, 1919, 689, 621, 593, 519, 1888, 540, 5816, 3101, 269, 7064, 269, 18461, 1863, 547, 17774, 547, 1250, 1357, 5816, 282, 5440, 2709, 256, 16440, 707, 14559, 256, 13673, 9898, 28313, 256, 12693, 2506, 20782, 670, 7825, 568, 4896, 3116, 2348, 2042, 609, 519, 2592, 593, 713, 5816, 15205, 286, 594, 6557, 3843, 547, 3313, 952, 922, 513, 1966, 593, 1250, 1439, 610, 952, 621, 779, 519, 5816, 269, 7102, 6114, 1131, 581, 7494, 15874, 269, 3371, 568, 1250, 3135, 910, 25877, 10950, 12844, 4926, 9479, 476, 1001, 280, 12693, 6601, 1777, 288, 1663, 571, 12693, 2098, 4141, 28982, 256, 1684, 596, 946, 12108, 286, 594, 8910, 899, 547, 1246, 596, 952, 602, 1131, 581, 15502, 269, 594, 6557, 9090, 11981, 707, 5816, 543, 1413, 4464, 547, 1007, 10311, 269, 1250, 3896, 282, 4179, 2517, 26020, 920, 9016, 26316, 269, 745, 910, 4179, 2517, 26020, 920, 9016, 26316, 269, 745, 12693, 30486, 928, 898, 779, 2469, 547, 581, 10678, 540, 9553, 1554, 267, 855, 1354, 10678, 594, 993, 2542, 713, 9735, 2022, 547, 2087, 1250, 1702, 269, 3371, 568, 1250, 5816, 281, 5291, 2517, 920, 323, 341, 9895, 269, 745, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 28471, 330, 325, 749, 561, 21683, 2999, 320, 27430, 284, 10059, 2517, 26020, 322, 553, 16394, 331, 1824, 2452, 30994, 3820, 270, 285, 322, 553, 3626, 3756, 9572, 320, 285, 12693, 1325, 710, 19743, 972, 1175, 4941, 547, 2285, 596, 513, 2656, 9843, 909, 543, 1577, 596, 917, 513, 1906, 540, 519, 5961, 5749, 1406, 15205, 5265, 269, 594, 6557, 711, 2386, 1946, 855, 594, 1589, 922, 513, 16046, 3390, 269, 594, 4076, 6836, 621, 538, 1079, 1114, 1357, 26292, 543, 1312, 1397, 519, 1482, 6364, 269, 18461, 1863, 547, 17774, 547, 1250, 5816, 2022, 26012, 6801, 331, 1824, 4877, 342, 3040, 5291, 2517, 560, 1513, 331, 1824, 4877, 342, 11305, 14394, 270, 4777, 2173, 344, 3146, 14142, 1790, 1653, 19295, 777, 270, 12693, 4077, 1961, 12076, 28982, 972, 256, 1684, 596, 917, 952, 789, 1118, 1022, 11690, 1231, 547, 948, 609, 22048, 286, 594, 6557, 3843, 547, 1205, 1250, 5816, 547, 7584, 585, 930, 6098, 17161, 855, 594, 6557, 711, 7487, 1360, 1434, 12374, 269, 1403, 596, 917, 540, 1022, 5225, 2671, 269, 11289, 596, 256, 18461, 1863, 547, 17774, 547, 1250, 1357, 5816, 910, 3841, 341, 9895, 269, 745, 910, 4179, 2517, 920, 323, 341, 9895, 269, 745, 270, 2421, 560, 549, 1790, 565, 1276, 527, 29931, 9016, 268, 2522, 747, 333, 2096, 328, 12693, 717, 329, 8615, 553, 341, 22894, 875, 547, 8237, 524, 658, 529, 21447, 2999, 320, 27430, 284, 10059, 2517, 339, 6412, 22438, 1251, 2593, 270, 285, 4754, 596, 2759, 524, 658, 529, 21447, 9572, 320, 285, 10464, 4244, 547, 19274, 27558, 19274, 27558, 4444, 2228, 476, 790, 1633, 12693, 808, 565, 2940, 4653, 267, 594, 4682, 547, 519, 11824, 12506, 609, 1250, 1453, 269, 594, 1336, 513, 4262, 7387, 543, 5795, 621, 547, 1250, 476, 275, 1032, 2025, 8250, 543, 1767, 968, 2791, 666, 5873, 519, 5836, 952, 596, 2322, 713, 547, 707, 1274, 1848, 2701, 5116, 519, 7387, 547, 1200, 1274, 543, 3458, 3139, 269, 1703, 729, 513, 1200, 2466, 26029, 3330, 543, 621, 8930, 3481, 1200, 1274, 269, 2701, 2760, 6499, 547, 979, 1394, 256, 10753, 299, 594, 917, 713, 568, 7357, 1055, 1888, 855, 594, 1185, 547, 2995, 2576, 256, 4746, 3643, 1250, 1357, 2985, 282, 667, 11921, 910, 5291, 2517, 527, 880, 578, 603, 1952, 839, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6734, 270, 6533, 13463, 28104, 1532, 611, 16512, 11258, 12693, 18018, 334, 634, 824, 1554, 267, 1247, 594, 729, 693, 960, 267, 1250, 23013, 588, 1961, 1250, 476, 13023, 821, 543, 7318, 547, 1294, 952, 621, 666, 7639, 513, 8938, 2947, 3723, 6749, 267, 1175, 865, 1352, 666, 581, 513, 596, 32353, 14815, 269, 3733, 11945, 28258, 611, 568, 1631, 10032, 543, 1352, 814, 476, 10695, 5784, 269, 594, 917, 713, 568, 11207, 1055, 1888, 855, 594, 1185, 547, 2671, 621, 609, 2576, 256, 4746, 3643, 1250, 1753, 2457, 910, 596, 4754, 2452, 1415, 3602, 269, 24108, 4944, 582, 2593, 910, 5291, 2517, 9767, 4754, 2452, 1415, 3602, 269, 24108, 4944, 582, 2593, 270, 12693, 3404, 1410, 9857, 1375, 340, 5291, 2517, 1492, 13133, 1399, 7666, 710, 777, 580, 2593, 9706, 1042, 23036 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 337, 815, 1412, 15916, 7585, 262, 1477, 339, 787, 6769, 825, 568, 13700, 815, 703, 263, 770, 337, 264, 672, 12361, 5906, 3009, 1477, 825, 12361, 1879, 519, 1101, 7503, 14543, 910, 621, 1175, 12772, 883, 519, 4849, 281, 16083, 543, 519, 1982, 733, 574, 1132, 1477, 21955, 2433, 672, 12361, 4849, 568, 899, 3116, 267, 5124, 786, 14892, 713, 1899, 952, 1945, 4422, 4636, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 5575, 3299, 568, 13700, 264, 23526, 5897, 770, 337, 815, 1412, 11277, 262, 1477, 339, 787, 2433, 1477, 825, 568, 13700, 815, 703, 263, 770, 337, 3418, 1012, 1879, 519, 2034, 7503, 7319, 12923, 910, 910, 527, 1175, 1236, 2354, 519, 4849, 281, 16083, 543, 519, 1982, 5170, 23228, 21955, 2433, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 13553, 3299, 568, 13700, 264, 16875, 1477, 16875, 1477, 1012, 8347, 270, 21955, 513, 3625, 540, 3009, 1477, 770, 337, 815, 1412, 7692, 262, 1477, 339, 787, 2433, 1477, 825, 1820, 3488, 15916, 10807, 476, 12361, 14892, 1477, 825, 568, 13700, 815, 703, 263, 770, 337, 264, 476, 12361, 3009, 9514, 909, 1934, 1477, 825, 1820, 3488, 2467, 10807, 825, 12361, 901, 786, 711, 581, 14892, 1477, 21955, 2433, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 291, 821, 3299, 568, 13700, 264, 16875, 1477, 16875, 1477, 258, 12726, 2119, 270, 21955, 267, 1281, 711, 960, 585, 2942, 2338, 1477, 3863, 1598, 815, 3403, 3488, 11767, 513, 1297, 281, 20298, 339, 787, 2433, 1477, 825, 476, 2526, 815, 703, 263, 3863, 1598, 3418, 21955, 2433, 1477, 825, 476, 2526, 815, 910, 272, 1477, 604, 476, 2526, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 301, 823, 960, 20298, 12828, 2433, 1477, 825, 1820, 3488, 8253, 513, 1297, 20298, 1363, 1477, 1012, 11644, 476, 274, 269, 272, 1477, 327, 2293, 815, 10581, 9272, 3488, 11767, 25980, 281, 10807, 3418, 3433, 815, 10581, 9272, 3488, 11767, 15580, 281, 10807, 3418, 604, 3108, 3436, 476, 2412, 2433, 1477, 825, 2628, 815, 630, 327, 2293, 268, 2412, 12684, 272, 269, 276, 265, 3433, 266, 2412, 265, 3433, 1477, 19197, 476, 271, 27045, 3108, 10922, 2412, 2433, 1477, 825, 2628, 815, 3108, 265, 3433, 1477, 12828, 2433, 1477, 825, 1820, 3488, 763, 3108, 610, 2557, 3403, 568, 711, 1318, 20298, 2745, 3488, 28324, 281, 3299, 2628, 3418, 825, 1477, 1012, 11644, 476, 274, 269, 273, 1477, 327, 2293, 815, 3403, 3488, 11767, 25980, 281, 20298, 339, 787, 2433, 1477, 825, 3108, 815, 10581, 22607, 2293, 264, 21506, 21955, 2433, 1477, 825, 1820, 3488, 13286, 267, 5225, 4283, 25948, 3403, 20298, 3433, 815, 3403, 3488, 11767, 15580, 281, 20298, 339, 787, 2433, 1477, 825, 2557, 815, 10581, 263, 3433, 264, 24541, 21955, 2433, 1477, 825, 1820, 3488, 13286, 267, 5225, 4283, 25948, 3403, 262, 10142, 1012, 3848, 476, 275, 281, 12793, 1477, 1012, 4635, 3252, 910, 4558, 543, 19074, 4449, 476, 12361, 2185, 3096, 281, 18615, 267, 19585, 267, 23200, 543, 4558, 543, 19074, 1477, 1012, 853, 1819, 630, 663, 32419, 264, 17778, 1477, 3698, 3364, 263, 2567, 825, 12361, 20438, 281, 1219, 281, 1376, 519, 4214, 540, 513, 1599, 267, 5581, 519, 1599, 269, 9577, 2012, 568, 3364, 543, 538, 519, 24324, 649, 1058, 723, 6724, 1477, 825, 1820, 3488, 15916, 20298, 825, 1820, 3488, 29222, 10807, 567, 12361, 5124, 3314, 713, 855, 786, 711, 14892, 1477, 2251, 3890, 567, 12361, 10912, 543, 1045, 3183, 519, 1599, 1477, 2745, 3488, 313, 760, 20298, 2251, 31476, 1012, 7665, 270, 14737, 1599, 1477, 15927, 815, 3193, 3488, 15916, 2622, 20298, 2745, 6357, 580, 264, 567, 12361, 3314, 267, 4130, 4484, 568, 3677, 982, 2462, 4484, 1477, 1012, 19243, 568, 678, 1477, 339, 4176, 815, 1295, 3488, 15916, 2622, 20298, 2745, 6025, 4176, 3418, 1012, 3977, 568, 519, 1412, 11898, 262, 1317, 2230, 568, 519, 5934, 1477, 3698, 3193, 263, 514, 335, 2567, 11434, 12361, 2322, 538, 513, 5569, 1412, 15916, 2622, 262, 1477, 825, 1025, 1695, 1477, 825, 1025, 1695, 1477, 825, 585, 1535, 538, 538, 335, 6769, 1038, 1025, 1695, 1477, 1038, 1025, 1695, 1363, 12361, 3977, 7024, 513, 5569, 1412, 337, 262, 1477, 1012, 589, 1599, 568, 930, 6740, 3009, 602, 649, 1289, 269, 589, 1599, 8941, 930, 3403, 543, 7472, 606, 3977, 269, 5897, 1012, 7392, 22062, 687, 1477, 1012, 1879, 596, 2322, 606, 8870, 543, 13735, 1448, 538, 606, 4082, 267, 519, 8870, 568, 17697, 569, 10736, 547, 513, 10581, 1477, 2745, 10581, 263, 4200, 264, 1315, 476, 1911, 567, 12361, 3977, 476, 271, 269, 4200, 1477, 328, 815, 476, 5655, 1477, 6943, 9217, 264, 567, 12361, 1362, 1412, 842, 262, 1477, 325, 815, 10581, 9217, 3418, 2745, 6600, 264, 825, 12361, 476, 5655, 269, 271, 1477, 6943, 6600, 264, 567, 12361, 1362, 1412, 15615, 262, 1477, 2745, 263, 272, 1341, 476, 273, 2608, 10581, 263, 274, 264, 1315, 476, 275, 910, 476, 276, 264, 11434, 12361, 3977, 910, 273, 269, 276, 1477, 1012, 1411, 666, 1852, 713, 609, 519, 3710, 2987, 3252, 703, 3890, 543, 10581, 31476, 1012, 21642, 22062, 687, 1477, 1012, 1411, 666, 849, 946, 703, 3890, 543, 10581, 3890, 547, 6460, 1063, 12673, 543, 9981, 1477, 338, 1998, 815, 1412, 11277, 262, 1477, 6943, 4433, 1998, 264, 825, 12361, 1362, 1193, 1477, 2745, 4433, 1998, 1341, 476, 272, 264, 476, 12361, 5470, 5048, 1477, 2526, 815, 703, 4433, 1998, 3418, 6943, 263, 2526, 264, 567, 12361, 1362, 703, 1477, 2745, 263, 2526, 1341, 476, 272, 264, 567, 12361, 476, 476, 14862, 1477, 985, 341, 815, 1412, 31435, 27342, 262, 1477, 16622, 815, 703, 263, 985, 341, 264, 567, 12361, 5470, 5048, 1477, 1012, 3403, 3890, 1599, 786, 2141, 2132, 513, 5569, 1477, 1012, 1411, 786, 1205, 606, 5470, 952, 5569, 1281, 711, 2270, 25948, 3197, 5897, 3698, 2721, 3799, 8029, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 8029, 1038, 585, 795, 538, 2039, 263, 271, 267, 1775, 266, 272, 8029, 2018, 1820, 3488, 265, 3299, 1439, 284, 5257, 3418, 1038, 1820, 28361, 337, 20298, 9526, 263, 276, 3418, 6853, 1090, 573, 19571, 815, 3403, 2891, 8923, 4283, 513, 1297, 281, 834, 3418, 333, 815, 703, 263, 6853, 1090, 573, 19571, 3418, 328, 815, 476, 272, 1477, 6112, 1775, 2999, 562, 266, 272, 6769, 825, 1820, 2891, 834, 16732, 333, 25829, 11924, 257, 265, 257, 16732, 273, 265, 328, 268, 272, 17903, 825, 1775, 815, 1775, 1341, 476, 272, 5897, 1012, 8490, 938, 1378, 12793, 1477, 1012, 1284, 1711, 513, 1007, 1599, 1210, 519, 1219, 20438, 4553, 676, 18593, 6724, 538, 24324, 1477, 1012, 1284, 25034, 519, 1560, 540, 519, 1599, 1477, 1012, 901, 11225, 519, 1599, 855, 1281, 711, 14892, 519, 1560, 540, 519, 1599, 1477, 3698, 1820, 318, 569, 7879, 28399, 825, 1820, 2891, 296, 993, 519, 29421, 329, 871, 326, 582, 15939, 267, 543, 594, 6415, 15502, 1701, 3418, 825, 1820, 3488, 296, 3207, 782, 3781, 543, 594, 960, 782, 1554, 9538, 3418, 2745, 3488, 312, 334, 20298, 343, 284, 273, 1477, 343, 815, 1535, 1341, 476, 273, 1477, 2745, 3287, 3418, 2745, 318, 569, 7879, 31476, 1012, 14803, 3701, 1477, 1012, 1323, 4661, 568, 513, 1871, 649, 1780, 883, 519, 535, 2863, 542, 607, 922, 3403, 950, 649, 1289, 519, 1599, 1477, 1012, 1284, 946, 7440, 865, 649, 666, 1463, 519, 1599, 547, 798, 1114, 5686, 540, 960, 950, 649, 1289, 621, 693, 1114, 2053, 1477, 1012, 1284, 2322, 519, 7440, 538, 24324, 1310, 519, 2012, 540, 519, 1599, 1477, 1012, 19838, 6769, 15927, 815, 3193, 3488, 15916, 2622, 20298, 24541, 1012, 30352, 4534, 14803, 3701, 1477, 1012, 589, 9936, 568, 513, 4756, 799, 649, 946, 538, 519, 1599, 4214, 269, 898, 568, 513, 1412, 8518, 548, 262, 602, 2636, 519, 3009, 538, 519, 1599, 547, 1569, 519, 7440, 585, 513, 1880, 1599, 1045, 6327, 23228, 3698, 26250, 10857, 836, 8029, 825, 952, 31423, 2652, 1412, 525, 262, 6769, 1038, 1820, 3488, 295, 7637, 20298, 825, 8640, 31423, 2652, 1412, 325, 337, 262, 6769, 1038, 1820, 3488, 289, 517, 30394, 20298, 825, 3116, 6769, 1038, 1820, 3488, 15916, 20298, 326, 22901, 3488, 523, 10807, 567, 12361, 28982, 1477, 326, 22901, 3488, 525, 10807, 825, 12361, 4591, 320, 1477, 326, 22901, 3488, 325, 337, 10807, 567, 12361, 12844, 30394, 5897, 1012, 17776, 18880, 1477, 1012, 10705, 513, 1599, 786, 1491, 922, 7440, 267, 798, 930, 19106, 267, 543, 2132, 513, 1871, 547, 581, 1031, 607, 519, 1871, 540, 519, 1599, 1289, 538, 519, 10912, 4082, 23228, 1012, 634, 2132, 20438, 568, 1031, 585, 713, 1477, 3698, 26250, 28399, 825, 2132, 1412, 15916, 262, 8587, 1477, 2745, 14116, 22901, 19572, 1412, 10908, 3317, 20298, 2745, 14116, 22901, 19572, 1412, 306, 958, 10807, 24541, 1012, 17776, 1281, 1079, 1919, 281, 3247, 519, 1599, 543, 2132, 519, 1871, 649, 1616, 1477, 1363, 1477, 1012, 476, 272, 269, 589, 1412, 26258, 995, 262, 1599, 568, 835, 602, 7472, 513, 1267, 263, 528, 2132, 1871, 3418, 1012, 476, 273, 269, 634, 2132, 3948, 7475, 519, 1599, 11056, 543, 1412, 338, 1742, 1394, 262, 519, 1267, 540, 519, 1599, 1477, 3698, 26250, 10857, 836, 8029, 825, 952, 31423, 2652, 1412, 525, 262, 6769, 1038, 2132, 1412, 295, 7637, 262, 1477, 825, 952, 31423, 2652, 1412, 325, 337, 262, 6769, 1038, 2132, 1412, 289, 517, 30394, 262, 1477, 825, 3116, 6769, 1038, 2132, 1412, 15916, 262, 1477, 2745, 14116, 22901, 3488, 523, 30670, 1412, 10908, 3317, 10807, 476, 12361, 28982, 3794, 3317, 1477, 2745, 14116, 22901, 3488, 525, 30670, 1412, 306, 958, 10807, 476, 12361, 4591, 320, 22123, 1477, 2745, 14116, 22901, 3488, 325, 337, 30670, 1412, 28061, 10807, 476, 12361, 289, 517, 30394, 7812, 1477, 24541, 1012, 13038, 30352, 1315, 26855, 3701, 1477, 1012, 1284, 666, 5581, 811, 982, 835, 9936, 538, 519, 1599, 4214, 1477, 1012, 1284, 3274, 1039, 811, 7440, 950, 649, 1289, 519, 1599, 1477, 1012, 1284, 6474, 519, 1297, 543, 1931, 540, 7440, 543, 6724, 1477, 3698, 1039, 18314, 5416, 267, 536, 8029, 825, 3773, 815, 513, 1341, 536, 1477, 825, 2132, 3773, 672, 12361, 3773, 568, 519, 2199, 4756, 1477, 343, 815, 1039, 18314, 263, 274, 267, 476, 276, 3418, 2745, 3287, 10142, 3698, 8631, 28399, 825, 1820, 3488, 15916, 20298, 825, 2132, 1477, 825, 1820, 3488, 13328, 20298, 24541, 560, 4428, 31476, 1012, 3848, 476, 276, 269, 10753, 3591, 543, 594, 614, 725, 1477, 1012, 15901, 730, 17778, 1477, 333, 815, 476, 276, 1477, 6112, 562, 3436, 476, 271, 2433, 476, 12361, 1473, 1030, 9548, 17787, 1477, 825, 1820, 3799, 3418, 825, 562, 815, 562, 910, 476, 272, 825, 12361, 21767, 4756, 547, 1852, 519, 21767, 3247, 1477, 2745, 3488, 7922, 770, 4752, 20298, 2745, 3799, 3418, 258, 276, 1477, 258, 275, 1477, 258, 274, 1477, 258, 273, 1477, 258, 272, 1477, 258, 7922, 770, 4752, 1477, 258, 271, 1477, 1012, 10753, 3591, 630, 516, 701, 730, 3268, 264, 723, 21767, 4632, 602, 1689, 1142, 942, 998, 513, 8520, 269, 10705, 891, 21767, 4632, 979, 998, 513, 5311, 540, 2338, 269, 5897, 1012, 1323, 5606, 9548, 31230, 1477, 333, 815, 476, 276, 1477, 6112, 562, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 299, 1430, 20298, 825, 1820, 3488, 305, 20600, 10807, 825, 12361, 1684, 711, 2196, 267, 621, 786, 2760, 3247, 1477, 2745, 3488, 291, 787, 1055, 256, 10807, 476, 12361, 2760, 1397, 713, 3977, 5897, 1012, 6271, 31230, 1477, 333, 815, 476, 271, 1477, 6112, 562, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 299, 1430, 20298, 825, 1820, 3488, 305, 20600, 10807, 825, 12361, 2196, 267, 621, 2760, 14892, 1477, 2745, 3488, 291, 787, 1055, 256, 262, 10142, 1012, 32276, 547, 1205, 856, 540, 513, 31230, 1477, 1012, 27915, 4934, 540, 513, 31230, 1477, 1012, 634, 2736, 3948, 7475, 519, 1699, 8520, 543, 26357, 547, 519, 3948, 5612, 1739, 519, 8520, 1477, 1012, 898, 568, 899, 513, 8520, 1449, 602, 666, 4755, 9170, 538, 519, 1560, 540, 519, 8520, 1477, 6112, 6936, 2433, 476, 12361, 8550, 8771, 267, 12808, 10753, 3591, 1477, 825, 1899, 815, 3403, 3488, 285, 1412, 3418, 825, 952, 1899, 2652, 1412, 323, 821, 262, 2433, 1477, 1038, 2736, 1477, 825, 1820, 263, 1467, 3418, 2745, 3488, 291, 821, 256, 262, 10142, 258, 285, 32597, 972, 1477, 258, 31435, 972, 1477, 258, 1477, 258, 285, 8737, 1477, 258, 21129, 1639, 1477, 258, 1477, 258, 285, 2944, 1477, 258, 291, 821, 256, 5897, 1012, 2372, 527, 606, 3955, 566, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2004, 7565, 1839, 22722, 272, 269, 6858, 27874, 966, 29758, 284, 1321, 269, 11463, 1422, 700, 259, 3767, 267, 649, 666, 946, 519, 3830, 585, 519, 960, 2944, 936, 606, 740, 328, 629, 1738, 1184, 281, 1269, 310, 7807, 2765, 18950, 5611, 7565, 1321, 269, 11463, 9984, 263, 2004, 7565, 1839, 20972, 272, 269, 6858, 268, 272, 13157, 9818, 274, 1422, 808, 259, 634, 1985, 851, 540, 519, 1184, 3322, 1100, 960, 1373, 2944, 267, 585, 972, 568, 1100, 4320, 1689, 269, 4935, 267, 649, 1265, 519, 960, 3238, 538, 519, 3803, 568, 18540, 1184, 269, 15240, 23082, 519, 4998, 3154, 1876, 883, 519, 3830, 585, 960, 2944, 1282, 606, 568, 18540, 1184, 267, 649, 1265, 281, 1269, 310, 15871, 303, 6958, 309, 318, 4148, 333, 7268, 2765, 346, 309, 6958, 2410, 309, 318, 271, 348, 7751, 1269, 310, 15871, 263, 2004, 7565, 1839, 264, 15238, 7268, 2765, 346, 1839, 2410, 1321, 269, 11463, 348, 6661, 268, 279, 2420, 315, 808, 259, 4935, 267, 519, 2121, 960, 2944, 568, 281, 1269, 21076, 315, 808, 259, 536, 264, 2311, 519, 1439, 540, 782, 540, 519, 3157, 4849, 519, 1101, 835, 267, 519, 4320, 568, 476, 1839, 20990, 269, 4935, 267, 649, 1294, 602, 519, 5934, 4320, 568, 281, 1269, 1321, 269, 11463, 1422, 700, 10608, 524, 264, 3399, 609, 1448, 589, 540, 519, 1318, 2427, 540, 519, 14346, 6516, 269, 24613, 689, 589, 547, 645, 3322, 513, 2604, 2333, 543, 4320, 6175, 267, 865, 979, 909, 543, 547, 519, 2451, 267, 1818, 519, 1899, 1063, 519, 1079, 2798, 1413, 899, 606, 12825, 9178, 1599, 269, 8921, 267, 2094, 519, 4320, 3788, 3586, 1282, 519, 1985, 1184, 267, 2721, 513, 1899, 602, 568, 2786, 1524, 547, 1448, 595, 269, 7053, 267, 1921, 1448, 595, 543, 1448, 589, 269, 0, 1012, 634, 717, 31389, 4347, 331, 1807, 692, 2026, 649, 723, 1175, 2938, 267, 22194, 12654, 9356, 1312, 519, 5777, 540, 5370, 543, 2533, 543, 519, 9424, 540, 5370, 543, 2533, 519, 4346, 568, 6721, 269, 1635, 4334, 267, 676, 8066, 5777, 3586, 693, 3490, 4458, 2157, 267, 1483, 12654, 9356, 1152, 519, 9424, 3812, 269, 3245, 891, 1079, 7194, 267, 649, 666, 12337, 513, 3791, 267, 1572, 519, 12654, 1219, 331, 1807, 267, 799, 9356, 519, 5777, 540, 5370, 543, 2533, 855, 711, 519, 9424, 3812, 780, 763, 12654, 1219, 331, 1807, 568, 7229, 607, 5205, 1384, 294, 7894, 1219, 331, 1807, 815, 32633, 1400, 12654, 2473, 476, 1911, 269, 7464, 12654, 692, 294, 7894, 1219, 331, 1807, 513, 2268, 540, 519, 3902, 1377, 7229, 607, 519, 5223, 540, 22194, 12654, 547, 1483, 12654, 2053, 476, 1911, 692, 10303, 22194, 12654, 543, 1483, 12654, 1590, 581, 519, 1482, 538, 519, 3490, 1032, 267, 519, 12654, 1219, 331, 1807, 585, 519, 3490, 1032, 2141, 11224, 476, 1911, 269, 634, 12654, 1219, 331, 1807, 585, 7766, 1296, 3800, 519, 4473, 538, 22194, 12654, 689, 519, 3490, 1032, 602, 3112, 581, 30289, 547, 513, 4473, 538, 1483, 12654, 780, 763, 12654, 1219, 331, 1807, 3800, 519, 1699, 1377, 540, 5777, 3448, 547, 519, 1377, 540, 5777, 538, 519, 3490, 1032, 269, 1677, 1294, 1946, 713, 568, 3020, 267, 2015, 513, 7008, 540, 2241, 1806, 269, 3689, 267, 4952, 602, 519, 9424, 3812, 538, 519, 4346, 4473, 936, 942, 855, 5777, 2611, 519, 1482, 269, 769, 713, 2013, 267, 1312, 22194, 543, 1483, 12654, 4473, 1927, 267, 865, 519, 12654, 1219, 331, 1807, 568, 3586, 269, 3767, 15475, 267, 3079, 267, 602, 5777, 4473, 936, 942, 855, 519, 9424, 3812, 3251, 519, 1482, 269, 769, 713, 2034, 2013, 267, 22194, 12654, 14380, 855, 1483, 12654, 3788, 519, 1482, 267, 865, 519, 12654, 1219, 331, 1807, 14380, 607, 1134, 269, 18564, 602, 267, 538, 1312, 2665, 267, 519, 12654, 1219, 331, 1807, 9356, 1018, 781, 8345, 547, 5777, 267, 711, 9424, 780, 4131, 781, 1631, 2132, 547, 938, 10230, 1383, 538, 7305, 476, 2420, 268, 273, 269, 634, 12654, 1219, 331, 1807, 568, 17223, 693, 519, 5377, 540, 519, 3349, 269, 1280, 1032, 476, 1220, 272, 267, 22194, 12654, 568, 8096, 1220, 267, 543, 1483, 12654, 568, 8096, 1220, 267, 865, 519, 12654, 1219, 331, 1807, 568, 476, 1911, 269, 1280, 519, 1032, 476, 1220, 273, 267, 22194, 12654, 568, 8096, 7785, 267, 543, 1483, 12654, 568, 8096, 12573, 267, 865, 519, 12654, 1219, 331, 1807, 568, 476, 14378, 269, 5221, 519, 12654, 1219, 331, 1807, 9782, 538, 1032, 476, 1220, 273, 689, 476, 1911, 547, 476, 14378, 267, 649, 666, 2161, 602, 519, 3902, 1377, 2799, 676, 476, 10170, 2600, 780, 763, 12654, 1219, 331, 1807, 568, 835, 2268, 602, 24192, 946, 547, 6895, 519, 3328, 1377, 540, 5777, 538, 519, 4346, 269, 1284, 4983, 1776, 9789, 7082, 3902, 4994, 24568, 519, 1985, 3184, 267, 1141, 649, 849, 4766, 519, 3604, 1063, 519, 1079, 3800, 269, 0, 258, 16338, 1063, 26941, 540, 834, 3422, 271, 589, 9391, 10933, 10819, 270, 19370, 476, 736, 5016, 1012, 9046, 692, 763, 11664, 540, 1269, 343, 317, 278, 259, 538, 519, 7269, 540, 4399, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 32757, 2765, 346, 273, 2410, 343, 4153, 2431, 8203, 279, 259, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 6321, 315, 29911, 1422, 3667, 8578, 18950, 289, 264, 4153, 910, 6321, 315, 29911, 1422, 3667, 8578, 18950, 290, 264, 4153, 476, 1691, 315, 29911, 1422, 3667, 8578, 18950, 291, 264, 4153, 910, 1691, 315, 29911, 1422, 3667, 8578, 18950, 292, 264, 4153, 476, 271, 6911, 1012, 8827, 692, 3528, 519, 23642, 6706, 14497, 267, 1142, 2165, 540, 519, 7269, 568, 4399, 16535, 558, 346, 279, 2410, 333, 4153, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 4153, 2431, 22722, 279, 5991, 4153, 3847, 7268, 2765, 24877, 273, 2410, 343, 4153, 2431, 8203, 333, 16859, 2171, 1616, 519, 20800, 540, 1269, 343, 259, 547, 581, 1269, 278, 8961, 865, 3230, 273, 263, 279, 5991, 9984, 333, 284, 278, 2330, 3230, 1626, 268, 274, 333, 284, 278, 2330, 3230, 333, 284, 274, 9681, 2252, 1269, 333, 284, 274, 8961, 1287, 519, 7222, 2165, 568, 6695, 16535, 558, 346, 279, 2410, 274, 4153, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 4153, 2431, 22722, 276, 4153, 3847, 7268, 2765, 24877, 273, 2410, 343, 4153, 2431, 8203, 274, 2330, 3230, 6321, 1422, 10383, 1422, 2765, 12757, 3867, 1015, 12453, 3953, 348, 1422, 10383, 1422, 2765, 24877, 279, 2410, 343, 317, 274, 6525, 3230, 268, 1691, 343, 317, 278, 9681, 763, 2626, 568, 4399, 7901, 539, 3189, 3667, 8578, 18950, 291, 264, 3686, 10608, 0, 272, 269, 19743, 782, 256, 1775, 6415, 3206, 540, 4742, 543, 5122, 11653, 267, 586, 599, 907, 7102, 3118, 269, 594, 2648, 2679, 11418, 543, 8888, 11387, 269, 31453, 1775, 4312, 2760, 1044, 519, 6574, 693, 8193, 630, 10843, 719, 15101, 290, 1775, 786, 1451, 713, 811, 264, 594, 6415, 3257, 6323, 543, 4359, 2296, 855, 1934, 781, 1250, 1966, 269, 594, 6415, 1152, 3257, 2489, 13004, 269, 20043, 693, 9945, 2303, 6128, 10137, 476, 272, 269, 630, 1607, 568, 5245, 538, 2013, 596, 941, 11842, 264, 2549, 1775, 1869, 2469, 547, 581, 2111, 547, 2347, 713, 1576, 1510, 4359, 13004, 286, 594, 1705, 4359, 13004, 538, 1032, 476, 280, 266, 1015, 543, 2941, 539, 1134, 267, 621, 1175, 4465, 1405, 3514, 609, 1250, 4559, 2429, 15101, 290, 269, 1403, 519, 2626, 1934, 568, 1100, 1775, 6415, 2469, 547, 798, 513, 25526, 25539, 6092, 3079, 269, 11289, 9767, 692, 273, 780, 274, 269, 7102, 15379, 23910, 786, 991, 4359, 13004, 538, 930, 1106, 780, 257, 2467, 781, 2731, 513, 2603, 540, 2979, 3238, 538, 5122, 543, 5907, 454, 30261, 269, 1215, 1454, 596, 798, 5673, 593, 1018, 1858, 540, 661, 292, 630, 338, 1817, 628, 663, 585, 454, 19491, 3740, 543, 5907, 11653, 264, 596, 798, 269, 1280, 1383, 267, 972, 781, 513, 2603, 454, 3467, 7493, 2979, 538, 2792, 3069, 543, 5365, 4393, 267, 543, 454, 28236, 811, 1360, 1463, 9819, 11186, 4834, 538, 5547, 454, 1492, 800, 543, 1949, 1374, 780, 4131, 803, 2253, 609, 2596, 1949, 1315, 5547, 3069, 269, 18065, 3069, 693, 454, 1080, 14724, 1106, 568, 2731, 11186, 4834, 267, 799, 568, 10416, 454, 338, 6295, 4834, 5473, 16755, 267, 865, 596, 991, 930, 11810, 563, 4517, 7223, 543, 29890, 616, 4909, 547, 1620, 621, 563, 9336, 2596, 5547, 3693, 630, 637, 626, 528, 267, 19218, 267, 1802, 2758, 264, 814, 513, 454, 22366, 1699, 19581, 5653, 6935, 5462, 676, 922, 25317, 269, 901, 568, 454, 3602, 1950, 2338, 2097, 538, 269, 1280, 1383, 1384, 4910, 626, 528, 281, 966, 815, 16843, 630, 309, 815, 6453, 267, 594, 815, 1699, 267, 681, 815, 4187, 994, 22479, 659, 3218, 281, 966, 815, 630, 329, 342, 290, 264, 296, 630, 290, 815, 31887, 267, 530, 815, 4908, 267, 795, 815, 6912, 8987, 272, 4917, 5715, 340, 2758, 281, 966, 815, 594, 14370, 329, 342, 299, 264, 630, 299, 815, 32366, 766, 2020, 3383, 267, 1256, 538, 519, 1101, 1858, 540, 661, 292, 267, 5547, 3069, 267, 972, 781, 2907, 454, 20412, 639, 267, 1950, 2338, 267, 543, 519, 5487, 2897, 2981, 630, 604, 596, 1413, 454, 3249, 2685, 1759, 593, 2168, 3601, 6393, 2252, 649, 1847, 593, 547, 519, 3069, 540, 834, 6011, 257, 30402, 24599, 1143, 1568, 267, 649, 723, 454, 16655, 6202, 781, 4834, 269, 1452, 7168, 1454, 1106, 519, 4493, 585, 661, 292, 269, 1358, 616, 454, 25740, 538, 1312, 7533, 543, 12045, 3029, 543, 4125, 10321, 269, 1924, 2676, 338, 19488, 267, 649, 849, 723, 6152, 11810, 780, 4131, 781, 979, 593, 547, 5121, 269, 17978, 4125, 9136, 14379, 609, 454, 26421, 824, 269, 589, 2603, 540, 5904, 5532, 1927, 1106, 513, 3060, 269, 8426, 454, 7483, 3755, 1106, 513, 3060, 269, 32730, 3322, 519, 1353, 540, 519, 1655, 454, 3118, 540, 7598, 513, 3060, 269, 13518, 960, 814, 1044, 2944, 547, 1265, 519, 454, 12895, 7014, 267, 610, 1505, 267, 585, 3257, 865, 269, 898, 3322, 513, 2603, 8579, 13045, 22238, 1464, 9819, 269, 1284, 2731, 666, 1405, 2995, 875, 1004, 786, 946, 454, 6339, 4103, 267, 865, 649, 991, 8579, 3631, 780, 2252, 649, 1847, 547, 9442, 7869, 270, 22033, 7869, 267, 513, 22301, 454, 24887, 19863, 324, 1744, 27553, 2919, 513, 6310, 3069, 547, 2491, 454, 341, 13895, 9424, 1644, 547, 875, 547, 5968, 1063, 3457, 563, 31636, 7869, 568, 1031, 10876, 267, 689, 681, 4696, 2752, 267, 547, 7658, 10746, 267, 547, 454, 22563, 1182, 1369, 5904, 269, 634, 5817, 3069, 3340, 693, 2547, 454, 20412, 639, 267, 930, 5276, 7223, 267, 930, 2268, 3069, 267, 3092, 780, 2252, 596, 1413, 693, 2413, 661, 292, 267, 3173, 723, 10416, 561, 2393, 539, 8021, 454, 331, 8504, 585, 7493, 6128, 2944, 538, 519, 2063, 1906, 4627, 1296, 563, 10376, 7493, 6310, 11532, 11214, 9060, 922, 946, 538, 661, 292, 269, 4634, 454, 24859, 7410, 267, 799, 723, 19117, 5365, 4393, 267, 941, 4362, 454, 2421, 22697, 2038, 538, 519, 476, 736, 628, 2540, 267, 855, 711, 1031, 676, 8030, 454, 2863, 559, 476, 736, 1296, 3516, 780, 2252, 594, 3100, 547, 581, 16460, 538, 2489, 267, 621, 781, 1317, 621, 568, 711, 2009, 454, 1729, 798, 661, 292, 1510, 2979, 269, 1656, 4470, 593, 2436, 596, 798, 1382, 610, 454, 574, 921, 7695, 267, 596, 946, 513, 1114, 2179, 540, 2979, 267, 2901, 513, 2603, 540, 454, 4118, 693, 513, 1360, 1164, 1377, 610, 930, 1360, 2596, 11810, 269, 589, 1808, 692, 296, 4126, 713, 2337, 3010, 275, 269, 8786, 1775, 4628, 1174, 1018, 596, 616, 6031, 267, 543, 1775, 7012, 1405, 14126, 827, 530, 5930, 1775, 1223, 798, 519, 13004, 267, 1775, 729, 14126, 827, 10678, 909, 538, 513, 6280, 1576, 4411, 21429, 543, 4397, 547, 917, 1169, 3830, 543, 1106, 540, 2979, 269, 1809, 1631, 1775, 4312, 2938, 602, 972, 568, 606, 4359, 2979, 28043, 1576, 1775, 666, 798, 1354, 519, 4702, 835, 269, 2201, 1283, 540, 602, 519, 1576, 849, 814, 476, 273, 6810, 540, 6128, 17950, 593, 1283, 540, 513, 6323, 3296, 1932, 269, 11289, 9767, 585, 2626, 17766, 930, 1769, 593, 1018, 5122, 4702, 568, 782, 827, 692, 3883, 12201, 454, 7462, 3883, 12201, 454, 5403, 532, 18983, 3827, 454, 1411, 949, 711, 2022, 1007, 16060, 1411, 949, 711, 2022, 30491, 1411, 949, 711, 2022, 27589, 1411, 949, 711, 12575, 707, 9708, 5231, 29851, 3009, 568, 2201, 3911, 25788 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18411, 18713, 505, 18998, 18777, 497, 24757, 21211, 419, 371, 357, 419, 351, 376, 12571, 360, 20069, 418, 505, 368, 14035, 504, 418, 481, 483, 417, 351, 481, 454, 825, 476, 18263, 489, 31176, 491, 7511, 25913, 19764, 493, 419, 371, 357, 419, 351, 376, 15159, 12916, 379, 17958, 4486, 267, 1871, 29219, 8147, 4970, 355, 4970, 498, 419, 369, 482, 29873, 13601, 22390, 489, 14395, 490, 10533, 368, 7511, 419, 509, 358, 30522, 352, 454, 825, 476, 12916, 484, 417, 28187, 31563, 28884, 18777, 497, 13601, 22390, 489, 420, 358, 508, 12571, 360, 20069, 418, 505, 368, 14035, 504, 418, 481, 483, 419, 371, 496, 4433, 550, 2939, 264, 8147, 16533, 365, 28884, 17958, 5320, 32750, 7511, 25913, 25622, 454, 825, 28859, 350, 508, 25263, 376, 18263, 489, 31176, 491, 420, 357, 497, 419, 371, 368, 17295, 500, 29830, 485, 7511, 29830, 373, 23523, 369, 13601, 418, 357, 352, 8147, 5320, 32750, 18777, 497, 21211, 23746, 23284, 23523, 501, 28996, 418, 505, 368, 14035, 504, 420, 486, 485, 18263, 489, 25203, 372, 25263, 376, 7511, 21211, 7511, 19764, 369, 19404, 493, 30853, 27384, 374, 29830, 373, 23523, 369, 692, 272, 269, 476, 476, 12916, 379, 17958, 28265, 2987, 7511, 420, 367, 485, 13161, 503, 10429, 486, 417, 502, 501, 420, 358, 355, 12486, 16533, 492, 24662, 339, 16428, 6503, 10471, 454, 825, 1104, 21723, 6503, 5091, 21648, 1115, 607, 23686, 1091, 454, 825, 609, 318, 16769, 281, 476, 20881, 352, 27747, 370, 20881, 503, 22390, 489, 420, 367, 485, 13161, 503, 7511, 16769, 421, 25693, 10951, 481, 18777, 478, 24731, 28032, 484, 454, 825, 607, 5334, 10967, 14876, 281, 29635, 357, 511, 27936, 27384, 374, 12148, 8147, 420, 367, 485, 13161, 503, 417, 508, 489, 418, 483, 489, 10951, 481, 18777, 488, 29873, 13601, 22390, 489, 14654, 921, 9272, 267, 6003, 994, 825, 13127, 28187, 31563, 27384, 374, 16178, 8147, 16533, 365, 10951, 481, 18777, 488, 29873, 420, 371, 509, 339, 325, 21606, 6185, 21648, 564, 13601, 418, 357, 352, 17958, 18743, 28032, 484, 32517, 507, 11858, 502, 19867, 478, 20069, 29830, 373, 23523, 369, 22562, 273, 269, 476, 476, 26166, 29873, 420, 357, 497, 419, 371, 368, 420, 486, 485, 418, 372, 361, 420, 358, 355, 420, 367, 485, 13161, 503, 454, 825, 5721, 12774, 267, 1449, 12774, 815, 708, 27219, 9131, 30221, 28710, 708, 27219, 9131, 11687, 23300, 825, 476, 20881, 503, 418, 30904, 22390, 503, 7511, 11907, 15159, 7093, 325, 21255, 291, 21648, 564, 692, 274, 269, 476, 476, 17958, 1721, 2000, 17274, 13213, 511, 28786, 24731, 338, 27542, 420, 371, 509, 18350, 1564, 454, 825, 476, 20881, 503, 421, 480, 488, 30006, 498, 420, 376, 481, 420, 353, 485, 421, 505, 506, 13601, 421, 375, 508, 8147, 28884, 9463, 481, 26033, 481, 24757, 418, 359, 498, 4179, 2517, 4178, 6745, 16428, 6503, 3820, 270, 7666, 728, 14121, 325, 5332, 17056, 258, 339, 325, 5332, 17056, 318, 663, 4671, 16428, 6503, 454, 825, 476, 10951, 481, 20069, 8542, 17056, 3890, 15159, 18713, 510, 27384, 374, 339, 16428, 20069, 418, 488, 488, 31596, 7511, 13601, 11590, 505, 20693, 509, 420, 25693, 21382, 360, 20881, 366, 31308, 375, 8147, 19867, 478, 23284, 23746, 23284, 419, 482, 350, 419, 372, 360, 7511, 11590, 353, 11590, 496, 12916, 379, 17958, 454, 825, 476, 17958, 29072, 8542, 17056, 3890, 16533, 365, 10951, 481, 418, 488, 488, 339, 325, 6745, 16428, 420, 377, 487, 29873, 21382, 355, 421, 504, 505, 31968, 7511, 420, 367, 485, 13161, 503, 18777, 478, 9463, 500, 24731, 28032, 484, 29072, 25707, 825, 13127, 28187, 31563, 418, 366, 496, 20069, 20693, 510, 31968, 8542, 17056, 31176, 485, 28032, 507, 419, 482, 370, 10951, 481, 15159, 339, 325, 6745, 16428, 19764, 369, 19404, 493, 692, 275, 269, 476, 29635, 377, 487, 29873, 526, 6783, 454, 825, 5286, 15126, 4590, 825, 13127, 505, 510, 27384, 374, 28884, 20881, 366, 24662, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 420, 357, 497, 419, 371, 368, 8147, 18350, 1564, 417, 379, 483, 421, 510, 486, 15159, 31596, 5044, 8147, 18713, 510, 27882, 353, 420, 377, 487, 418, 493, 505, 29873, 526, 6783, 454, 825, 13127, 487, 505, 418, 493, 494, 9463, 500, 24731, 28032, 484, 418, 30904, 10533, 368, 22390, 489, 18350, 1564, 421, 480, 482, 15159, 4289, 692, 276, 269, 476, 17276, 492, 354, 31284, 28032, 484, 16533, 365, 15159, 339, 7505, 6500, 8147, 420, 486, 485, 18263, 489, 31176, 491, 7511, 421, 350, 508, 25263, 376, 692, 18257, 692, 5814, 21723, 6503, 607, 23686, 454, 5814, 21723, 6503, 5091, 21648, 1115, 607, 23686, 1091, 454, 5814, 11885, 607, 5286, 692, 574, 27219, 267, 9623, 815, 23686, 1091, 269, 2903, 2891, 574, 27219, 23631, 1613, 338, 2580, 609, 318, 16769, 18989, 267, 607, 5334, 10967, 14876, 18989, 994, 30221, 12774, 267, 1449, 12774, 815, 708, 27219, 9131, 30221, 28710, 708, 27219, 9131, 11687, 262, 6540, 30221, 5334, 550, 1878, 815, 11713, 30221, 9078, 629, 1564, 815, 11713, 11687, 5334, 550, 1878, 815, 11713, 11687, 9078, 629, 1564, 815, 29129, 1721, 521, 267, 561, 538, 5721, 12774, 912, 825, 5721, 5334, 550, 1878, 6910, 19304, 4433, 8542, 17056, 3890, 4917, 825, 5721, 9078, 629, 1564, 6910, 10857, 8542, 17056, 31156, 1721, 521, 267, 561, 538, 1449, 12774, 912, 825, 1449, 5334, 550, 1878, 6910, 19304, 4433, 8542, 17056, 3890, 4917, 825, 1449, 9078, 629, 1564, 6910, 10857, 8542, 17056, 31156, 2745, 263, 6943, 6025, 1778, 5334, 550, 1878, 4917, 2745, 263, 6943, 6025, 1778, 9078, 629, 1564, 11723, 30221, 9078, 629, 1564, 318, 526, 6783, 815, 5286, 15126, 6025, 1778, 9078, 629, 1564, 994, 11687, 9078, 629, 1564, 318, 526, 6783, 815, 5286, 15126, 6025, 652, 9078, 629, 1564, 2020, 18411, 276, 269, 476, 17276, 492, 354, 419, 374, 490, 31968, 30837, 351, 8147, 24757, 21211, 339, 7505, 6500, 454, 825, 476, 9463, 359, 15159, 10951, 361, 418, 361, 350, 16043, 495, 22390, 495, 10429, 486, 420, 357, 511, 27936, 420, 370, 483, 9463, 481, 10533, 372, 263, 30104, 6724, 264, 8147, 417, 354, 377, 420, 503, 499, 15159, 23284, 23523, 490, 9463, 359, 28884, 21928, 13601, 420, 503, 499, 32517, 362, 418, 498, 373, 9463, 481, 10533, 372, 16533, 365, 417, 354, 377, 25707, 825, 13127, 505, 510, 27384, 374, 417, 375, 374, 419, 360, 489, 420, 358, 508, 18021, 360, 15159, 17958, 420, 357, 497, 419, 371, 368, 420, 367, 485, 13161, 503, 8147, 18713, 510, 27882, 353, 421, 510, 494, 10951, 509, 21928, 418, 372, 361, 420, 358, 355, 420, 367, 485, 13161, 503, 7511, 30084, 18809, 418, 485, 487, 420, 358, 366, 10951, 481, 20069, 13601, 11590, 505, 684, 16308, 2262, 692, 277, 269, 476, 13127, 375, 374, 419, 360, 489, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 692, 18257, 692, 5228, 21723, 6503, 21993, 10327, 269, 2181, 30112, 269, 3667, 1104, 570, 7505, 6500, 454, 5228, 21723, 6503, 21993, 10327, 269, 2181, 30112, 269, 30084, 1104, 14950, 318, 25119, 692, 22106, 629, 15481, 815, 476, 1911, 876, 454, 655, 5523, 3429, 5091, 574, 815, 476, 1626, 454, 10946, 28747, 815, 476, 6344, 454, 13700, 15635, 25292, 815, 1412, 14006, 7055, 334, 990, 4671, 7505, 815, 1412, 283, 334, 990, 285, 7055, 11133, 318, 788, 5255, 338, 815, 476, 1015, 692, 339, 7505, 6500, 815, 570, 7505, 6500, 16325, 318, 6919, 284, 22106, 629, 15481, 267, 522, 990, 4671, 7505, 284, 334, 990, 4671, 7505, 994, 339, 7505, 6500, 32265, 318, 517, 26748, 338, 6025, 1778, 5334, 550, 1878, 994, 30084, 17601, 5334, 550, 1878, 815, 18351, 6500, 269, 3667, 338, 15461, 318, 25119, 6025, 1778, 5334, 550, 1878, 994, 25247, 4765, 5334, 4671, 337, 5334, 27542, 815, 14950, 318, 25119, 263, 30084, 17601, 5334, 550, 1878, 267, 3193, 6352, 284, 10946, 28747, 267, 959, 15635, 908, 284, 13700, 15635, 25292, 2020, 5320, 16229, 815, 18351, 6500, 269, 5320, 16229, 454, 30084, 15305, 5334, 550, 1878, 815, 18351, 6500, 269, 3667, 338, 15461, 318, 25119, 6025, 652, 5334, 550, 1878, 994, 25247, 4765, 5334, 318, 974, 5334, 27542, 815, 14950, 318, 25119, 263, 30084, 15305, 5334, 550, 1878, 267, 3193, 6352, 284, 10946, 28747, 267, 959, 15635, 908, 284, 13700, 15635, 25292, 9239, 18411, 277, 269, 476, 13127, 375, 374, 419, 360, 489, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 454, 825, 476, 31006, 19404, 491, 28884, 7511, 15159, 21588, 361, 13601, 31271, 353, 20693, 510, 29072, 13601, 31271, 353, 655, 5523, 3429, 31271, 353, 454, 825, 23686, 21993, 10327, 7456, 16558, 9950, 3387, 539, 3429, 17635, 665, 629, 15481, 267, 32750, 5091, 574, 267, 3403, 28747, 284, 10946, 28747, 994, 825, 29635, 352, 350, 30837, 351, 418, 498, 378, 29072, 263, 420, 358, 508, 18021, 360, 27962, 16533, 493, 267, 32750, 5091, 574, 267, 3403, 28747, 284, 9463, 354, 31878, 421, 499, 371, 18021, 355, 2020, 278, 269, 476, 2506, 5523, 3429, 454, 825, 13127, 363, 355, 421, 504, 505, 31968, 7511, 421, 479, 489, 30853, 420, 370, 483, 24731, 10951, 361, 418, 361, 350, 419, 363, 482, 17295, 491, 12486, 419, 364, 350, 417, 500, 362, 28032, 484, 420, 359, 359, 15159, 419, 369, 355, 11590, 486, 13601, 22390, 489, 1626, 419, 370, 511, 7511, 12571, 495, 19404, 493, 263, 28032, 489, 417, 28187, 10951, 361, 418, 361, 350, 420, 357, 511, 27936, 7511, 655, 5523, 3429, 5091, 574, 994, 825, 476, 18777, 497, 30006, 493, 22390, 489, 417, 500, 362, 21211, 421, 25693, 20069, 20881, 503, 22390, 489, 12571, 495, 19404, 493, 8147, 419, 482, 370, 23523, 490, 420, 501, 487, 13200, 365, 18350, 1564, 419, 369, 355, 11590, 486, 7511, 418, 482, 493, 419, 378, 358, 421, 479, 489, 28997, 501, 8147, 18777, 497, 421, 350, 508, 25263, 376, 7511, 420, 358, 508, 10429, 371, 20069, 421, 350, 508, 25263, 376, 7511, 12571, 495, 19404, 493, 8147, 18263, 509, 16533, 365, 15159, 20881, 503, 11590, 505, 420, 358, 508, 421, 25693, 20069, 421, 350, 508, 25263, 376, 7511, 418, 481, 483, 419, 371, 496, 25707, 825, 22614, 370, 497, 421, 479, 492, 420, 357, 497, 419, 371, 368, 23523, 490, 8147, 16533, 365, 23746, 23284, 18777, 497, 30006, 493, 22390, 489, 420, 358, 508, 417, 369, 490, 24662, 10429, 370, 18809, 7511, 418, 481, 483, 419, 371, 496, 692, 825, 22614, 370, 497, 421, 479, 492, 10603, 5338, 3890, 420, 376, 372, 24731, 15159, 13601, 22390, 489, 273, 291, 7511, 10533, 372, 28578, 8147, 420, 352, 350, 30837, 351, 15159, 6358, 28747, 420, 486, 485, 655, 5523, 3429, 5091, 574, 454, 825, 13127, 505, 510, 27882, 353, 28884, 419, 370, 497, 421, 479, 492, 14503, 520, 1084, 3890, 10533, 368, 419, 494, 484, 19867, 497, 29873, 272, 291, 7511, 420, 376, 372, 24662, 454, 825, 17276, 505, 379, 28786, 25913, 418, 350, 486, 31176, 485, 15159, 17471, 30182, 303, 944, 532, 272, 291, 3890, 8147, 16533, 485, 12571, 495, 19404, 493, 23946, 367, 417, 507, 485, 25060, 500, 454, 825, 17276, 363, 498, 420, 369, 371, 31968, 30837, 351, 10951, 481, 9463, 359, 31176, 358, 31284, 1626, 22390, 489, 420, 376, 372, 24662, 8147, 25203, 372, 420, 376, 481, 18263, 489, 31284, 16043, 500, 420, 357, 365, 20881, 509, 18021, 355, 418, 505, 368, 417, 379, 360, 8147, 12916, 484, 418, 374, 500, 419, 351, 374, 27064, 485, 420, 376, 481, 12916, 492, 692, 279, 269, 476, 29635, 376, 372, 24731, 17958, 338, 31451, 8147, 18713, 510, 27384, 374, 28884, 10254, 353, 13161, 371, 7511, 15159, 271, 27882, 352, 30837, 351, 418, 482, 493, 26233, 507, 8147, 420, 486, 485, 272, 420, 366, 510, 30837, 351, 418, 482, 493, 26233, 507, 692, 280, 269, 476, 29289, 2203, 8147, 7257, 2203, 454, 825, 3514, 25060, 483, 12571, 360, 420, 367, 485, 13161, 503, 8147, 418, 357, 503, 30830, 353, 8147, 18713, 510, 27882, 353, 12571, 490, 418, 357, 352, 7511, 21928, 421, 358, 501, 420, 511, 487, 420, 367, 485, 13161, 503, 13601, 418, 357, 352, 28884, 25060, 483, 12571, 360, 420, 367, 485, 13161, 503, 420, 486, 485, 418, 357, 503, 30830, 353, 692, 825, 29635, 486, 485, 18263, 489, 31176, 491, 13548, 10090, 1807, 420, 376, 481, 27384, 374, 21251, 12571, 490, 8147, 18713, 510, 27384, 374, 13548, 10090, 1807, 17958, 420, 367, 485, 13161, 503, 14035, 378, 26266, 366, 419, 370, 497, 26166, 417, 354, 377, 18350, 1564, 29072, 454, 825, 13127, 505, 510, 27882 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 1283, 18812, 25210, 547, 2333, 519, 3106, 543, 2628, 540, 3484, 4600, 269, 8121, 308, 2818, 2066, 519, 4182, 15189, 547, 6467, 29553, 2006, 6517, 5196, 14884, 269, 476, 634, 772, 293, 310, 5249, 538, 14151, 4098, 538, 476, 3422, 279, 547, 2232, 519, 4220, 540, 13851, 269, 27293, 267, 6424, 269, 2073, 769, 476, 1001, 279, 267, 513, 3126, 540, 1533, 4204, 4116, 16716, 543, 17600, 5949, 21959, 1359, 18487, 3007, 1813, 547, 741, 1967, 267, 607, 1134, 607, 519, 1249, 602, 1896, 540, 873, 941, 538, 2829, 1141, 1857, 15041, 1943, 2465, 16716, 616, 10363, 269, 769, 476, 6642, 277, 267, 607, 519, 1894, 1063, 519, 4123, 9769, 3350, 543, 519, 12928, 2074, 540, 8534, 7707, 2989, 267, 5062, 10817, 790, 543, 824, 9769, 3401, 1572, 585, 513, 15007, 547, 581, 4371, 693, 19090, 267, 11882, 593, 5412, 476, 279, 269, 634, 589, 14566, 15376, 865, 1563, 547, 476, 273, 269, 275, 2929, 538, 476, 4489, 278, 269, 1809, 2725, 1415, 1185, 513, 2178, 2594, 538, 8165, 13313, 538, 1715, 3840, 18787, 267, 543, 729, 3810, 2565, 540, 519, 711, 528, 13124, 18348, 12243, 9094, 269, 2073, 11066, 28520, 1010, 1489, 3297, 15284, 667, 269, 17619, 630, 293, 11403, 264, 693, 519, 856, 3553, 540, 519, 1715, 20958, 269, 2073, 3571, 3966, 923, 17663, 513, 1804, 6824, 540, 519, 3484, 4074, 3196, 267, 855, 1813, 547, 519, 1249, 602, 6694, 4600, 941, 711, 6870, 896, 519, 2817, 8534, 9534, 2920, 630, 301, 299, 6938, 264, 540, 476, 4350, 276, 267, 972, 729, 2370, 3811, 9769, 1436, 1354, 519, 12625, 538, 519, 476, 3422, 271, 338, 540, 595, 14008, 932, 1511, 345, 630, 4572, 278, 1700, 1960, 274, 264, 543, 26541, 2803, 13535, 1068, 320, 630, 4350, 271, 1070, 945, 20834, 1242, 4993, 4600, 883, 519, 2136, 12426, 20709, 630, 308, 293, 310, 264, 3919, 269, 1280, 3236, 267, 827, 476, 10602, 2600, 540, 1007, 772, 288, 310, 9769, 2818, 1282, 741, 2333, 3357, 689, 4600, 896, 519, 2085, 540, 476, 3374, 269, 2073, 634, 6006, 2344, 1835, 14414, 538, 5239, 476, 4572, 280, 267, 543, 721, 22363, 538, 519, 4279, 12870, 269, 634, 18966, 540, 5029, 1242, 570, 10232, 543, 8534, 1133, 687, 24673, 609, 519, 1007, 3919, 267, 1634, 607, 519, 1977, 18966, 540, 8534, 610, 589, 14566, 267, 4646, 693, 602, 15007, 907, 4014, 1312, 941, 1336, 17608, 267, 519, 654, 30820, 267, 18188, 676, 631, 1195, 518, 267, 9674, 3294, 689, 519, 11633, 20709, 540, 519, 2622, 630, 296, 310, 310, 264, 630, 5055, 684, 3481, 676, 15917, 6229, 543, 824, 4074, 18119, 267, 1514, 1235, 267, 543, 29450, 1235, 538, 476, 5002, 276, 264, 1175, 513, 1906, 1296, 1310, 602, 3919, 781, 15713, 15007, 269, 2073, 634, 2112, 4254, 16478, 13497, 9450, 9769, 15376, 267, 689, 476, 279, 269, 278, 2929, 538, 476, 3707, 271, 547, 936, 476, 1691, 269, 274, 2929, 538, 476, 3707, 276, 267, 827, 476, 3607, 260, 540, 519, 960, 3196, 269, 1717, 267, 891, 6042, 798, 711, 4019, 547, 6694, 4074, 2560, 898, 568, 2009, 602, 834, 1492, 1390, 1514, 3350, 689, 2630, 3976, 22541, 519, 7115, 540, 519, 10324, 7936, 540, 2229, 2668, 6468, 543, 17051, 11124, 811, 689, 891, 3466, 269, 769, 519, 2038, 476, 4198, 271, 338, 267, 607, 519, 589, 14566, 543, 16275, 302, 24673, 267, 1472, 513, 3791, 540, 519, 1977, 4074, 3196, 729, 9769, 1242, 282, 676, 476, 1001, 273, 267, 519, 8167, 729, 476, 1556, 9077, 7587, 5024, 10199, 476, 276, 260, 538, 519, 4357, 5823, 543, 476, 2412, 260, 538, 519, 1857, 5823, 269, 4256, 1034, 7986, 6205, 729, 5261, 834, 19136, 9291, 257, 15917, 6229, 269, 2073, 634, 476, 4572, 271, 338, 6825, 513, 1974, 540, 8325, 7771, 585, 519, 4074, 3350, 269, 2073, 8534, 18787, 3622, 16053, 2229, 5520, 1317, 789, 941, 6417, 6140, 676, 519, 19121, 720, 1062, 1031, 676, 519, 2797, 6105, 1354, 519, 12625, 540, 3540, 3028, 269, 634, 3044, 540, 2713, 585, 2475, 11633, 4600, 729, 1269, 476, 1556, 269, 11463, 543, 476, 1428, 269, 10019, 269, 634, 8355, 12064, 24051, 1562, 1412, 2013, 3738, 1412, 338, 3310, 20406, 530, 534, 539, 543, 4600, 1412, 7104, 538, 256, 11534, 2216, 17619, 593, 4914, 3609, 12406, 538, 476, 3707, 271, 519, 1016, 31755, 540, 24611, 267, 11908, 267, 1141, 5176, 476, 7742, 1668, 15548, 256, 22676, 3042, 1164, 12434, 585, 519, 1101, 942, 538, 1977, 1991, 547, 15391, 729, 6404, 6241, 626, 256, 25272, 23894, 5892, 28974, 9769, 25327, 476, 4097, 476, 3910, 519, 7128, 2476, 689, 4975, 8387, 519, 256, 2859, 9952, 12051, 4600, 941, 16094, 554, 2086, 1229, 676, 16324, 1852, 4334, 267, 476, 4572, 280, 14754, 827, 476, 29579, 267, 1822, 4600, 630, 476, 2641, 1862, 476, 6642, 277, 267, 519, 7128, 10880, 669, 2683, 9769, 1719, 538, 18787, 267, 1654, 1729, 539, 676, 16452, 256, 634, 711, 528, 13124, 18348, 12243, 9094, 22687, 538, 6837, 5293, 4550, 10595, 542, 9086, 936, 12666, 11685, 267, 7022, 5261, 20999, 4191, 1862, 2107, 18756, 26136, 476, 1428, 269, 10019, 1317, 18787, 6603, 1152, 519, 811, 9952, 12051, 4600, 19801, 269, 20079, 849, 723, 5934, 13230, 4031, 543, 922, 2929, 2818, 267, 540, 23511, 476, 272, 269, 275, 2929, 4600, 543, 476, 1015, 2929, 28737, 661, 850, 523, 23101, 543, 21861, 744, 262, 8867, 776, 267, 12181, 267, 29733, 700, 269, 543, 1862, 4477, 323, 856, 585, 513, 1906, 1296, 3738, 513, 1875, 684, 542, 2754, 538, 21086, 540, 256, 4112, 657, 633, 2208, 1310, 476, 6642, 271, 8429, 12181, 1318, 3562, 22086, 15234, 4031, 1378, 2797, 6105, 609, 1862, 3687, 619, 630, 654, 30820, 3738, 729, 476, 273, 267, 25616, 267, 1822, 585, 5988, 476, 3707, 273, 519, 1654, 1729, 593, 4873, 476, 2918, 267, 2807, 2276, 2560, 772, 2529, 269, 4972, 540, 4074, 585, 4074, 13848, 723, 24715, 730, 543, 4747, 8635, 814, 2799, 568, 602, 1862, 623, 4660, 676, 519, 19727, 267, 1317, 16716, 941, 2196, 676, 4004, 1235, 8247, 593, 21006, 16851, 1870, 256, 3013, 15186, 9551, 525, 519, 21829, 1974, 513, 1876, 3803, 6876, 3357, 1310, 2947, 4374, 609, 519, 772, 2529, 269, 607, 513, 907, 10426, 532, 12181, 1318, 3562, 22086, 15234, 4031, 7390, 1153, 693, 2547, 476, 274, 3275, 270, 20204, 16110, 267, 799, 5129, 513, 2101, 1909, 538, 543, 256, 7982, 547, 960, 267, 855, 941, 10353, 676, 7022, 15284, 667, 269, 17619, 667, 516, 1512, 1412, 338, 5718, 267, 789, 5702, 519, 1862, 9406, 547, 10891, 883, 18787, 7022, 6276, 681, 269, 32129, 320, 607, 513, 1267, 267, 13848, 723, 24715, 730, 543, 4747, 814, 269, 1160, 5913, 1903, 540, 31356, 585, 931, 7032, 20874, 4553, 1369, 519, 4074, 3350, 23032, 922, 2797, 1862, 476, 273, 269, 275, 2929, 538, 476, 4350, 277, 267, 7700, 936, 1269, 476, 4335, 267, 1822, 269, 1496, 476, 6200, 9948, 689, 20271, 894, 9777, 2137, 1862, 29849, 267, 661, 850, 523, 23101, 543, 21861, 744, 262, 8867, 776, 267, 12181, 22388, 268, 16391, 1944, 519, 6129, 321, 3881, 281, 1318, 3562, 22086, 22411, 338, 4550, 10595, 542, 269, 2598, 11825, 532, 513, 12560, 28487, 267, 11318, 5722, 2384, 18779, 543, 10138, 532, 1082, 1866, 1977, 2528, 15234, 476, 3607, 2276, 7550, 6240, 269, 570, 269, 4793, 1562, 517, 20147, 602, 281, 519, 6963, 3350, 4658, 16718, 960, 2864, 982, 519, 18787, 2933, 941, 269, 2598, 31419, 891, 12181, 18544, 15234, 607, 519, 3919, 1412, 338, 7022, 585, 476, 4391, 1296, 540, 1862, 8534, 4031, 2560, 1686, 540, 1126, 10466, 538, 519, 476, 1001, 271, 12836, 267, 646, 5293, 519, 2817, 4074, 269, 769, 513, 1906, 1296, 3738, 543, 2362, 13848, 543, 1164, 533, 5014, 585, 741, 2818, 2370, 1185, 4957, 5667, 330, 2683, 28011, 3487, 540, 18787, 519, 476, 866, 628, 2540, 1247, 519, 12928, 2074, 15469, 29450, 2065, 5208, 1185, 2818, 269, 1677, 2569, 16461, 1746, 543, 3500, 2112, 2504, 676, 519, 18787, 267, 2864, 982, 519, 18787, 14874, 2101, 256, 9549, 5859, 540, 7917, 631, 269, 5487, 23205, 30592, 538, 476, 4572, 275, 606, 3614, 4233, 536, 18732, 9769, 3401, 689, 5885, 4174, 24329, 269, 13832, 585, 2085, 267, 3108, 267, 2010, 540, 6009, 543, 2324, 2175, 585, 1762, 4600, 9948, 1862, 1306, 519, 5934, 2085, 585, 6107, 7694, 538, 1875, 3620, 1794, 731, 748, 6009, 1510, 9993, 4074, 269, 16572, 14931, 519, 2924, 540, 4600, 941, 16094, 554, 2086, 1229, 676, 16324, 1852, 789, 18979, 569, 3646, 1862, 1656, 5313, 10136, 941, 1572, 883, 2962, 269, 1496, 476, 4366, 9948, 10880, 1289, 7022, 14355, 12912, 717, 558, 11825, 519, 1862, 11873, 23032, 922, 1378, 2797, 6105, 267, 609, 7864, 689, 519, 7158, 540, 1379, 1282, 519, 476, 4572, 271, 338, 729, 3622, 256, 1496, 476, 1556, 9948, 585, 3236, 267, 827, 476, 10602, 2600, 540, 519, 1034, 23511, 267, 476, 272, 267, 279, 4792, 16716, 7018, 267, 5473, 811, 982, 476, 272, 269, 275, 2929, 4600, 630, 610, 476, 272, 269, 273, 2600, 540, 1715, 3840, 543, 269, 476, 1015, 2929, 28737, 17394, 9783, 10324, 1931, 476, 11820, 6434, 267, 18175, 15665, 519, 4567, 540, 907, 2986, 2817, 16470, 267, 1141, 646, 1305, 909, 519, 2112, 9730, 593, 4074, 1312, 3292, 11783, 1677, 9769, 2238, 1282, 519, 10880, 1765, 338, 10696, 1894, 1063, 519, 2101, 23195, 2127, 1082, 3549, 6806, 6410, 1862, 634, 6406, 2924, 3350, 538, 519, 1318, 547, 10891, 1715, 2818, 2407, 729, 269, 11873, 689, 2630, 3976, 22541, 519, 7115, 540, 519, 811, 1271, 4074, 4031, 2560, 1686, 540, 4074, 7018, 256, 1635, 3294, 10363, 519, 7911, 22574, 538, 1022, 1259, 13848, 540, 12427, 30714, 513, 3791, 1447, 982, 2021, 538, 907, 2986, 4600, 941, 19801, 1185, 11999, 15407, 5934, 2085, 585, 6107, 7694, 538, 1875, 3620, 1794, 731, 748, 6009, 1510, 2807, 13876, 1242, 741, 28252, 621, 1394, 547, 7158, 2147, 547, 1346, 13676, 676, 519, 18787, 267, 1654, 1729, 539, 676, 7022, 667, 907, 5742, 3738, 14172, 814, 13986, 547, 3142, 519, 1514, 1686, 5380, 883, 519, 1353, 1686, 540, 4074, 4031, 538, 519, 8087, 2829, 6896, 23194, 543, 18787, 256, 1656, 6917, 268, 18076, 9194, 941, 7768, 5097, 540, 9952, 21489, 4600, 849, 835, 540, 519, 3536, 2139, 1185, 1862, 15234, 15917, 6229, 538, 1142, 7160, 540, 519, 2112, 4674, 827, 476, 10602, 2600, 540, 1715, 9769, 269, 17461, 269, 1496, 476, 272, 9948, 2370, 3656, 973, 6847, 729, 2139, 547, 1346, 13676, 676, 519, 19727, 1317, 1862, 21805, 16716, 729, 849, 835, 540, 519, 811, 9952, 12051, 4600, 941, 554, 2086, 1229, 269, 2368, 3646, 547, 2569, 16461, 1746, 543, 3500, 2112, 2504, 676, 519, 476, 6642, 271, 338, 4681, 540, 540, 256, 7040, 543, 5833, 606, 3614, 4233, 543, 25964, 585, 519, 4074, 3401, 1705, 711, 10891, 883, 256, 2859, 7920, 568, 538, 519, 476, 1001, 271, 12836, 7390, 1153, 693, 2547, 476, 274, 3275, 270, 20204, 922, 5934, 4031, 256, 8534, 13882, 538, 3013, 540, 17864, 1185, 2907, 25295, 1269, 476, 1911, 267, 1822, 267, 6976, 676, 519, 589, 14566, 2679, 9738, 1862, 570, 22929, 15593, 1067, 267, 12181, 267, 29733, 700, 269, 23045, 543, 10557, 661, 269, 744, 7315, 1014, 630, 476, 1220, 275, 3738, 12181, 28011, 22798, 268, 31413, 9194, 4735, 531, 610, 12189, 621, 2141, 8959, 267, 16550, 18787, 1394, 547, 1272, 713, 11783, 10395, 1588, 2665, 538, 3013, 15186, 9551, 525, 519, 21829, 1974, 610, 6410, 15327, 547, 7390, 1153, 693, 476, 274, 1862, 476, 9262, 476, 3910, 8241, 14787, 8834, 15593, 326, 1245, 25495, 519, 4681, 540, 1082, 5640, 1496, 945, 286, 3003, 1862, 476, 15171, 9948, 32468, 9911, 941, 5342, 676, 513, 1875, 684, 542, 2754, 538, 21086, 941, 3811, 538, 2053, 540, 13884, 519, 269, 21805, 16716, 729, 849, 835, 540, 519, 4074, 18787, 9948, 1082, 3549, 6806, 6410, 269, 22367, 7719, 6038, 8959, 267, 16550, 18787, 1394, 547, 7158, 2147, 547, 1346, 13676, 676, 519, 5162, 476, 4350, 273, 1700, 3451, 269, 6276, 570, 269, 4793, 1562, 517, 20147, 602, 281, 519, 589, 14566, 3738, 8371, 269, 1496, 476, 4366, 9948, 835, 811, 3238, 2199, 269, 570, 2397, 642, 269, 32254, 569, 789, 13084, 16845, 513, 3099, 540, 3123, 267, 3006, 998, 2797, 610, 26136, 269, 3245, 4975, 8387, 519, 25743, 23699, 1857, 10845, 693, 519, 16110, 2199, 540, 9870, 13848, 729, 3294, 256, 12243, 9094, 9769, 729, 1641, 547, 606, 3614, 4233, 536, 18732, 9769, 3401, 689, 5885, 519, 4174, 24329, 3323, 538, 476, 6642, 280, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 611, 325, 287, 326, 21166, 2593, 7055, 8161, 303, 657, 815, 4757, 26098, 3488, 287, 5073, 2745, 263, 8161, 303, 657, 994, 2745, 263, 16942, 11468, 8161, 303, 657, 7481, 2745, 263, 16942, 27709, 303, 657, 1341, 476, 272, 281, 20285, 26920, 815, 1412, 259, 280, 267, 4375, 275, 267, 1822, 7055, 2745, 263, 26920, 18622, 2897, 263, 3299, 3299, 15234, 1040, 516, 2897, 3488, 259, 3299, 1412, 10807, 9239, 4067, 815, 1412, 15383, 345, 7055, 720, 815, 476, 736, 692, 325, 23952, 815, 535, 262, 300, 344, 2012, 568, 2715, 4067, 7684, 476, 2085, 568, 2715, 720, 266, 276, 348, 7055, 2745, 6600, 23952, 2020, 325, 23952, 815, 535, 262, 300, 344, 2012, 568, 2715, 4067, 256, 337, 348, 476, 2085, 568, 2715, 720, 266, 276, 348, 7055, 2745, 6600, 23952, 9239, 338, 272, 815, 1412, 7343, 548, 28847, 338, 273, 815, 1412, 7343, 548, 28847, 338, 274, 815, 1412, 20625, 28847, 2745, 4433, 272, 2652, 521, 273, 994, 2745, 4433, 272, 14857, 18091, 9191, 338, 274, 4917, 2745, 4433, 272, 2652, 521, 274, 994, 2745, 4433, 272, 31573, 3890, 2652, 521, 274, 31573, 15405, 0, 3698, 5352, 318, 21459, 12173, 10031, 825, 1101, 12173, 815, 1412, 2026, 629, 2940, 327, 7055, 825, 2063, 12173, 815, 1412, 21953, 599, 12317, 7055, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 1820, 263, 21459, 12173, 9239, 2102, 4733, 318, 21459, 12173, 3890, 476, 1948, 10912, 513, 1599, 7531, 3698, 1039, 4671, 6851, 5332, 13246, 10031, 825, 1003, 318, 821, 815, 476, 273, 454, 825, 1003, 4671, 6851, 815, 476, 274, 454, 825, 2698, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 1820, 6025, 4973, 9239, 5417, 4671, 6851, 5332, 13246, 10797, 258, 9577, 666, 849, 2132, 2418, 267, 952, 513, 1599, 1281, 711, 2132, 1022, 267, 519, 1871, 540, 519, 1599, 568, 7183, 269, 700, 1115, 27682, 519, 1657, 3252, 1210, 2132, 269, 3245, 1631, 593, 267, 649, 1205, 513, 1871, 950, 10912, 519, 1599, 267, 3079, 540, 8228, 621, 563, 692, 3698, 5352, 318, 21459, 12173, 10031, 825, 1101, 12173, 815, 1412, 2026, 629, 2940, 327, 7055, 825, 2063, 12173, 815, 1412, 21953, 599, 12317, 7055, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 263, 2102, 4733, 318, 21459, 12173, 3890, 9239, 3698, 1039, 4671, 6851, 5332, 13246, 10031, 825, 1003, 318, 821, 815, 476, 273, 454, 825, 1003, 4671, 6851, 815, 476, 274, 454, 825, 2698, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 2132, 2698, 7531, 2745, 263, 5417, 4671, 6851, 5332, 13246, 3890, 9239, 3698, 26250, 902, 28442, 2187, 825, 5048, 815, 2012, 1341, 22207, 10950, 547, 5124, 585, 15526, 256, 7055, 825, 2132, 5048, 7531, 2745, 14116, 22901, 902, 3488, 2026, 629, 2940, 327, 10807, 9239, 3698, 1039, 318, 1084, 16325, 2187, 825, 4557, 815, 476, 1015, 454, 825, 2132, 1003, 1341, 4557, 7531, 2745, 263, 5417, 318, 1084, 263, 3445, 264, 9239, 3698, 4009, 20311, 3287, 2187, 825, 2132, 1535, 2608, 1535, 7531, 2745, 4433, 13645, 20311, 263, 273, 264, 9239, 3698, 1820, 12173, 6600, 1009, 4067, 2187, 825, 2132, 18078, 7531, 2745, 12173, 3488, 2026, 629, 2940, 327, 10807, 476, 1948, 1306, 629, 2940, 327, 7531, 3698, 1820, 318, 21459, 12173, 6600, 1009, 4067, 267, 2063, 4067, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 18078, 1341, 2230, 1341, 2063, 4067, 454, 825, 2132, 2407, 12173, 7531, 2745, 318, 21459, 12173, 6600, 1009, 4067, 8782, 2026, 629, 2940, 327, 3299, 2063, 4067, 8782, 21953, 599, 12317, 262, 9239, 3698, 1858, 15058, 6831, 22511, 16868, 2187, 825, 28697, 815, 476, 274, 269, 1691, 454, 825, 1858, 815, 28697, 2608, 678, 2878, 476, 273, 454, 825, 2132, 1858, 7531, 2745, 263, 19327, 15058, 6831, 22511, 263, 1015, 264, 9239, 3698, 2040, 15058, 5332, 13246, 3799, 2187, 825, 2698, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 3799, 266, 272, 2187, 1038, 2698, 6834, 1775, 454, 825, 1820, 6025, 4973, 9239, 8999, 15058, 5332, 13246, 263, 1015, 264, 476, 1948, 476, 4649, 454, 8999, 15058, 5332, 13246, 263, 1911, 264, 476, 1948, 476, 31746, 271, 7531, 3698, 5352, 318, 21459, 12173, 6600, 1009, 12173, 267, 2063, 12173, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 3488, 17359, 8745, 281, 22207, 5352, 318, 21459, 12173, 3488, 2026, 629, 2940, 327, 3299, 1412, 21953, 599, 12317, 10807, 9239, 3698, 2040, 4671, 6851, 5332, 13246, 16325, 318, 821, 267, 1003, 4671, 6851, 2187, 825, 2040, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 2132, 2040, 7531, 2745, 3488, 11764, 540, 1079, 2338, 281, 22207, 2040, 4671, 6851, 5332, 13246, 263, 272, 267, 476, 280, 264, 9239, 3698, 5173, 318, 720, 263, 9690, 14729, 792, 267, 4332, 14729, 792, 2187, 825, 2085, 815, 1699, 14729, 792, 910, 4332, 14729, 792, 454, 825, 2132, 2085, 7531, 2745, 3488, 21848, 281, 22207, 5173, 318, 720, 263, 1001, 280, 267, 476, 8687, 280, 264, 9239, 3698, 2597, 15058, 318, 15953, 9852, 817, 267, 8904, 2187, 825, 1948, 519, 1871, 814, 547, 581, 4957, 547, 513, 5569, 1101, 454, 825, 2597, 815, 1193, 9852, 817, 2608, 8904, 264, 1341, 1412, 715, 7055, 825, 2132, 2597, 7531, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 263, 1911, 267, 476, 280, 269, 10037, 264, 9239, 3698, 1820, 318, 21459, 4067, 6600, 1009, 4067, 267, 2063, 4067, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 18078, 1341, 2230, 1341, 2063, 4067, 454, 825, 1820, 263, 21459, 12173, 9239, 2745, 318, 21459, 4067, 6600, 1009, 4067, 8782, 2026, 629, 2940, 327, 3299, 2063, 4067, 8782, 21953, 599, 12317, 262, 9239, 3698, 1039, 4671, 6851, 5332, 13246, 16325, 272, 267, 1003, 273, 2187, 825, 2698, 815, 1003, 272, 1341, 1003, 273, 454, 825, 1820, 6025, 4973, 9239, 5417, 4671, 6851, 5332, 13246, 16325, 273, 284, 274, 267, 1003, 272, 284, 273, 264, 476, 1948, 11352, 1281, 711, 2339, 7531, 3698, 568, 318, 16838, 3799, 2187, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 3488, 16838, 5073, 1038, 2132, 6936, 825, 1948, 2132, 13515, 2417, 11056, 540, 519, 1599, 267, 2147, 547, 2736, 454, 825, 2132, 8771, 7531, 2745, 263, 529, 318, 16838, 263, 1015, 4297, 476, 1948, 6936, 454, 2745, 263, 529, 318, 16838, 263, 278, 4297, 476, 1948, 8771, 7531, 3698, 26250, 902, 28442, 8782, 30681, 262, 2187, 825, 5048, 815, 2012, 1341, 22207, 10950, 547, 5124, 585, 15526, 256, 7055, 825, 2132, 5048, 7531, 2745, 14116, 22901, 902, 15405, 2745, 14116, 22901, 902, 3488, 2026, 629, 2940, 327, 10807, 9239, 3698, 5352, 318, 21459, 12173, 6600, 1009, 12173, 8782, 2026, 629, 2940, 327, 3299, 2063, 12173, 8782, 21953, 599, 12317, 262, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 263, 2102, 4733, 318, 21459, 12173, 15405, 2745, 263, 2102, 4733, 318, 21459, 12173, 3488, 21837, 3299, 1412, 29834, 10807, 9239, 3698, 5173, 318, 720, 6357, 9500, 14729, 792, 267, 1699, 14729, 792, 284, 1001, 280, 2187, 825, 2085, 815, 1699, 14729, 792, 910, 4332, 14729, 792, 454, 825, 2132, 2085, 7531, 2745, 3488, 21848, 281, 22207, 5173, 318, 720, 263, 8687, 280, 264, 9239, 3698, 2597, 15058, 318, 15953, 9852, 817, 267, 8904, 284, 280, 269, 10037, 2187, 825, 1948, 519, 1871, 814, 547, 581, 4957, 547, 5569, 1101, 454, 825, 2597, 815, 1193, 9852, 817, 2608, 8904, 264, 1341, 1412, 715, 7055, 825, 2132, 2597, 7531, 258, 476, 280, 269, 10037, 910, 3328, 8904, 593, 3047, 781, 2627, 454, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 263, 1911, 4917, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 18692, 825, 476, 1911, 267, 476, 272, 269, 7830, 4297, 476, 1948, 8904, 593, 519, 2627, 540, 519, 9855, 7531, 3698, 2040, 318, 718, 5332, 4548, 28949, 333, 4548, 2187, 825, 2698, 815, 476, 271, 454, 825, 585, 1003, 538, 15358, 912, 1038, 2698, 6834, 1003, 672, 1948, 1482, 607, 2698, 815, 2698, 1341, 1003, 454, 825, 2132, 2698, 7531, 2745, 4433, 636, 318, 718, 5332, 4548, 263, 273, 267, 476, 274, 267, 476, 276, 264, 9239, 258, 1411, 666, 1780, 3252, 1472, 607, 6724, 454, 3698, 4009, 20311, 3799, 2187, 825, 2132, 562, 2608, 562, 7531, 3698, 798, 5334, 15036, 6600, 267, 1535, 2187, 825, 2132, 535, 3287, 9239, 2745, 263, 4777, 5334, 15036, 4433, 13645, 20311, 267, 476, 274, 4917, 0, 258, 1592, 24042, 1305, 8675, 267, 9868, 7829, 267, 3758, 7829, 267, 744, 302, 4916, 267, 9074, 562, 10189, 454, 258, 1592, 815, 11713, 258, 1820, 17338, 994, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 1412, 338, 4206, 3299, 476, 273, 269, 280, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 27663, 258, 1820, 17338, 2020, 258, 1820, 17338, 314, 273, 7481, 258, 1820, 12759, 17338, 11723, 3240, 8217, 815, 1592, 10797, 2745, 30044, 8217, 2020, 3240, 8217, 815, 1592, 8443, 272, 267, 476, 273, 267, 476, 274, 20285, 2745, 30044, 8217, 2020, 343, 8217, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 1412, 338, 4206, 3299, 476, 273, 269, 280, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 6540, 2745, 3287, 8217, 314, 276, 6012, 272, 20285, 2745, 3287, 8217, 314, 276, 6012, 268, 273, 20285, 3240, 8217, 815, 18358, 335, 3299, 1412, 337, 3299, 1412, 334, 3299, 1412, 326, 3299, 1412, 337, 3299, 1412, 320, 3299, 1412, 332, 3299, 1412, 324, 3299, 1412, 337, 262, 6540, 2745, 30044, 8217, 314, 273, 281, 476, 276, 316, 9239, 2745, 30044, 8217, 314, 273, 281, 20285, 2745, 30044, 8217, 11468, 276, 20285, 2745, 30044, 8217, 11468, 20285, 2745, 30044, 8217, 314, 272, 15311, 273, 20285, 2745, 30044, 8217, 11468, 18737, 272, 7481, 0, 258, 952, 8298, 673, 318, 2750, 16054, 10778, 258, 672, 1473, 5034, 8943, 13332, 476, 272, 454, 258, 3116, 10778, 258, 672, 1473, 5034, 8943, 13332, 476, 273, 454, 24987, 815, 3403, 2891, 3674, 5124, 606, 14648, 1893, 286, 8786, 610, 3143, 23645, 834, 1040, 12294, 10797, 604, 2626, 2652, 834, 13433, 13426, 825, 1820, 2891, 2791, 723, 23498, 519, 1449, 23528, 12828, 912, 825, 1820, 2891, 2791, 723, 8959, 519, 1449, 1701, 2020, 2745, 2891, 12552, 10590, 2020, 258, 1772, 5124, 606, 14648, 1893, 286, 8786, 610, 3143, 23645, 9811, 454, 258, 1411, 723, 23498, 519, 1449, 563, 258, 8729, 2336, 0, 15759, 518, 815, 910, 736, 454, 2745, 263, 11274, 263, 15759, 518, 264, 9239, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 1820, 263, 1415, 17338, 11723, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 2639, 258, 1820, 263, 1415, 17338, 264, 9239, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 267, 476, 274, 2639, 258, 1820, 263, 1415, 17338, 11723, 258, 1592, 815, 11713, 258, 1820, 263, 1415, 17338, 11723, 258, 476, 634, 782, 3890, 1505, 7024, 6936, 950, 782, 2609, 538, 519, 2016, 12055, 762, 616, 3020, 269, 1403, 711, 267, 621, 7024, 8771, 563, 692, 258, 1592, 815, 11713, 258, 1820, 263, 718, 17338, 11723, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 267, 476, 274, 2639, 258, 1820, 263, 718, 17338, 11723, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 1820, 263, 718, 17338, 264, 9239, 7538, 17806, 815, 1412, 23911, 28812, 1109, 15517, 532, 7055, 2745, 263, 30913, 328, 3799, 5436, 17806, 11723, 1278, 17806, 815, 1412, 303, 2814, 7238, 333, 28812, 1109, 15517, 532, 7055, 2745, 263, 30913, 328, 263, 1278, 17806, 264, 9239, 15893, 815, 476, 276, 454, 2745, 6357, 514, 28840, 11723, 2745, 6357, 944, 28840, 11723, 258, 32582, 7301, 2073, 1496, 271, 316, 3020, 267, 476, 271, 269, 271, 7301, 267, 6936, 3020, 2073, 1412, 553, 4206, 262, 3020, 692, 1598, 815, 834, 7090, 568, 1434, 1893, 5016, 16435, 823, 318, 28128, 815, 20105, 263, 274, 994, 2745, 19304, 314, 16435, 823, 318, 28128, 20285, 16435, 823, 318, 28128, 815, 20105, 263, 273, 267, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 13514, 519, 2243, 952, 9637, 568, 3730, 1510, 1863, 786, 281, 952, 519, 6857, 1995, 568, 1175, 513, 5496, 593, 799, 1919, 616, 15810, 267, 1100, 1863, 786, 568, 2877, 543, 3976, 1018, 781, 519, 2898, 1448, 540, 9637, 286, 1306, 971, 267, 798, 649, 849, 991, 1863, 786, 585, 16561, 9637, 286, 1403, 649, 616, 2324, 609, 519, 2547, 1297, 540, 10054, 267, 621, 4667, 12691, 519, 649, 666, 3398, 9637, 563, 2005, 4667, 547, 803, 602, 519, 2489, 10182, 540, 5042, 6436, 538, 513, 6211, 1344, 4393, 270, 28669, 1049, 3069, 540, 2247, 5943, 568, 547, 2119, 547, 2491, 3388, 1510, 8380, 9637, 538, 519, 3830, 269, 1656, 8197, 621, 4667, 547, 803, 602, 1100, 835, 568, 2965, 8380, 9637, 538, 519, 3830, 267, 950, 7713, 17133, 610, 7180, 630, 520, 2547, 538, 2413, 2053, 1916, 5472, 538, 782, 267, 621, 4667, 547, 803, 602, 782, 519, 1657, 2601, 902, 3142, 519, 19583, 602, 9637, 568, 711, 2877, 543, 814, 1100, 12105, 5413, 936, 13128, 1875, 23655, 9988, 269, 2107, 602, 649, 1058, 1118, 811, 543, 811, 10054, 630, 7945, 607, 16561, 1863, 786, 264, 547, 1118, 2631, 540, 9637, 563, 296, 1589, 602, 6998, 1946, 649, 723, 9637, 1223, 1291, 721, 547, 1174, 621, 1732, 563, 2252, 596, 1611, 602, 2648, 666, 3970, 4160, 267, 594, 540, 1576, 3858, 269, 1656, 621, 568, 711, 606, 6587, 8367, 547, 9553, 269, 5274, 2648, 814, 4440, 1044, 2919, 676, 938, 11937, 547, 3970, 519, 4160, 2333, 11402, 950, 1582, 23655, 1145, 3357, 538, 1282, 4720, 563, 2791, 3314, 875, 4160, 568, 17479, 538, 519, 9183, 827, 1582, 23655, 1145, 630, 10674, 2517, 874, 559, 335, 3639, 3820, 270, 13440, 19072, 2894, 4596, 302, 1916, 763, 4720, 540, 954, 28175, 915, 2032, 5645, 676, 938, 929, 1493, 11937, 4547, 873, 547, 2697, 609, 741, 931, 24594, 338, 267, 6719, 607, 4540, 538, 519, 1604, 269, 3528, 713, 1184, 519, 3908, 6041, 540, 2933, 602, 938, 11937, 1185, 2968, 827, 606, 11769, 4540, 538, 519, 1604, 267, 621, 2968, 606, 10026, 543, 25782, 6041, 540, 2933, 607, 4540, 9988, 602, 666, 581, 3957, 2048, 4545, 652, 1537, 1582, 23655, 1145, 17483, 3719, 8446, 609, 931, 24594, 338, 729, 849, 606, 8446, 609, 13155, 610, 7092, 931, 24594, 338, 799, 814, 6383, 606, 1271, 4160, 2333, 269, 1677, 3970, 602, 4160, 938, 11937, 723, 2919, 12644, 799, 723, 22876, 3293, 1713, 12105, 5383, 7957, 1681, 519, 4720, 540, 18577, 1582, 23655, 1145, 4724, 938, 1480, 2407, 1922, 1194, 3022, 1582, 23655, 1145, 630, 663, 1480, 2648, 568, 4440, 851, 540, 891, 12644, 1040, 901, 1184, 6770, 547, 6338, 606, 12105, 2599, 1759, 593, 513, 29981, 4160, 2359, 799, 814, 1044, 513, 3597, 538, 1480, 4720, 543, 799, 568, 1869, 3742, 538, 938, 2221, 1480, 8186, 563, 3383, 519, 9183, 23083, 602, 519, 12105, 5383, 2097, 6140, 689, 519, 12644, 2919, 547, 3970, 519, 4160, 2333, 267, 711, 602, 1454, 689, 1582, 23655, 1145, 829, 694, 269, 16729, 454, 268, 853, 4370, 3234, 584, 853, 1030, 753, 5459, 3773, 606, 2626, 281, 291, 541, 7773, 781, 7869, 540, 12472, 281, 1215, 547, 31363, 3909, 3450, 609, 4720, 286, 1548, 568, 707, 2070, 593, 713, 286, 28846, 7917, 16817, 630, 5197, 280, 1700, 6642, 273, 264, 729, 513, 3703, 2067, 626, 543, 2520, 6048, 267, 4583, 585, 1010, 7418, 547, 519, 3069, 540, 4720, 269, 16817, 6444, 602, 782, 2713, 2249, 723, 26731, 689, 1455, 11937, 538, 513, 12905, 6073, 269, 8625, 609, 21238, 15570, 1088, 28615, 267, 646, 5950, 513, 4745, 8313, 538, 799, 646, 5189, 1010, 3621, 3069, 602, 23616, 12885, 602, 971, 513, 4839, 4221, 4806, 540, 4720, 814, 1044, 1671, 4240, 689, 513, 1184, 602, 646, 3957, 968, 11499, 5542, 9731, 1103, 476, 6977, 280, 267, 16817, 3370, 1010, 7869, 540, 12472, 538, 1010, 4583, 1433, 968, 4002, 519, 18882, 540, 15661, 5608, 20408, 519, 3621, 18349, 17640, 547, 4505, 2035, 540, 18993, 16615, 540, 2249, 269, 769, 519, 476, 6942, 271, 338, 1454, 540, 519, 3621, 2146, 543, 519, 5354, 540, 519, 2489, 1857, 1185, 7608, 4720, 607, 513, 1249, 269, 1717, 267, 621, 729, 711, 2394, 519, 11944, 540, 519, 2413, 12105, 10282, 950, 513, 3376, 13618, 2919, 267, 1063, 519, 476, 4350, 271, 338, 547, 519, 476, 4198, 271, 338, 267, 543, 538, 799, 2067, 5542, 729, 7608, 607, 519, 2596, 7271, 540, 4720, 563, 28846, 7917, 16817, 779, 7869, 540, 12472, 1107, 1215, 547, 31363, 3909, 3450, 609, 4720, 888, 17098, 2506, 28609, 267, 594, 29709, 547, 1039, 602, 2257, 22264, 676, 513, 1184, 1572, 519, 11660, 6396, 563, 2080, 568, 513, 1434, 6609, 912, 268, 918, 337, 345, 903, 345, 1729, 325, 7831, 22603, 3773, 606, 2626, 281, 18128, 1828, 2710, 22917, 541, 1188, 781, 3069, 540, 9542, 814, 1022, 14496, 610, 10343, 286, 2107, 898, 568, 519, 29593, 7773, 781, 3069, 540, 2067, 5542, 602, 568, 476, 1911, 260, 3020, 543, 4570, 269, 888, 763, 19681, 541, 1188, 781, 3069, 630, 299, 307, 264, 4766, 519, 1184, 540, 11248, 781, 4720, 630, 785, 1339, 1040, 634, 16817, 1014, 7869, 540, 2067, 5542, 630, 291, 307, 264, 4766, 4720, 540, 2249, 630, 338, 1115, 540, 7103, 1040, 634, 700, 307, 17648, 602, 4720, 540, 11248, 4163, 593, 547, 9542, 267, 855, 667, 307, 17648, 602, 1434, 9542, 4163, 593, 547, 12105, 1967, 540, 2249, 269, 700, 307, 4766, 3407, 1367, 12105, 7180, 540, 2043, 267, 667, 307, 4766, 3407, 519, 3140, 543, 18105, 4094, 564, 673, 1184, 540, 2249, 540, 4720, 269, 595, 604, 269, 918, 269, 15662, 479, 770, 22603, 267, 634, 4998, 9318, 4567, 540, 519, 4207, 3069, 540, 4720, 267, 538, 281, 2387, 763, 18319, 12452, 5842, 1530, 30807, 1014, 267, 25832, 632, 476, 1960, 275, 267, 6613, 3266, 476, 736, 267, 606, 334, 26577, 267, 1547, 476, 3066, 268, 7906, 1496, 3041, 17928, 476, 271, 5392, 276, 268, 3393, 275, 279, 4940, 16729, 454, 268, 4498, 12245, 30421, 828, 13305, 617, 1157, 320, 3773, 606, 2626, 281, 5804, 606, 12105, 1448, 540, 2070, 799, 6090, 616, 6385, 9687, 6046, 610, 24197, 6090, 543, 1946, 286, 543, 1018, 568, 5542, 2604, 286, 296, 993, 2324, 593, 519, 30953, 540, 715, 14670, 3941, 267, 865, 585, 7636, 18572, 594, 1616, 547, 3442, 7636, 12508, 689, 24197, 6090, 610, 6046, 6090, 610, 723, 547, 960, 593, 1312, 519, 6090, 563, 763, 476, 1240, 306, 678, 11748, 630, 7704, 308, 264, 814, 1044, 17618, 3524, 10642, 585, 1082, 29712, 1712, 26908, 543, 814, 513, 6571, 1524, 547, 519, 2249, 1377, 538, 1034, 2516, 267, 855, 849, 5543, 1407, 2362, 3347, 3833, 1134, 269, 4937, 2215, 619, 2356, 960, 543, 621, 568, 3833, 2653, 547, 1205, 1434, 9696, 585, 519, 9399, 308, 269, 18766, 689, 519, 9399, 308, 519, 24197, 2910, 296, 1131, 2693, 581, 707, 2034, 3903, 267, 1294, 519, 2034, 4574, 594, 723, 7923, 269, 634, 1957, 23182, 2982, 602, 513, 4999, 540, 519, 9399, 308, 609, 513, 2034, 630, 324, 3052, 269, 700, 24746, 267, 2910, 296, 264, 15262, 647, 1553, 1836, 5543, 1407, 2249, 1377, 23838, 538, 3597, 24516, 29712, 3941, 269, 16729, 454, 268, 16205, 7638, 3873, 1122, 523, 3773, 606, 2626, 281, 2467, 616, 3833, 513, 1906, 19165, 547, 2491, 2038, 1480, 4720, 281, 3657, 972, 4888, 312, 602, 2491, 519, 4720, 540, 670, 269, 683, 663, 269, 543, 670, 269, 18682, 1466, 286, 27078, 894, 4267, 786, 849, 581, 15874, 269, 6423, 16653, 543, 10965, 617, 24124, 476, 1001, 273, 267, 654, 3757, 724, 600, 476, 1960, 280, 267, 772, 978, 541, 476, 1220, 277, 267, 645, 18365, 476, 1220, 278, 267, 18628, 476, 1220, 272, 454, 28989, 267, 594, 29709, 1412, 295, 27622, 262, 538, 1412, 1862, 950, 20167, 626, 18152, 30941, 24797, 11451, 2059, 519, 5032, 338, 3267, 262, 16729, 454, 268, 853, 4370, 3234, 584, 853, 1030, 753, 5459, 3773, 606, 2626, 281, 1692, 798, 596, 6338, 4720, 547, 1453, 286, 1432, 568, 707, 2259, 540, 707, 1101, 7778, 610, 3450, 609, 1453, 630, 283, 1015, 1296, 2025, 264, 7790, 594, 1611, 519, 1360, 1101, 5220, 563, 17098, 782, 269, 590, 13446, 1586, 547, 2847, 633, 513, 8142, 602, 568, 26862, 563, 2252, 596, 1397, 1453, 32026, 827, 519, 2189, 1272, 3029, 602, 2291, 538, 6552, 543, 9678, 9249, 543, 616, 711, 1336, 9170, 3116, 593, 3618, 267, 789, 786, 23366, 2307, 713, 2243, 912, 3963, 798, 891, 2831, 1152, 2291, 538, 891, 4025, 543, 24076, 3116, 888, 2791, 723, 547, 2491, 602, 891, 2831, 723, 1044, 9678, 593, 10195, 267, 538, 23572, 267, 593, 10239, 267, 538, 23898, 267, 3092, 267, 585, 27453, 563, 7712, 2257, 1152, 9388, 609, 2067, 3137, 585, 2067, 3157, 267, 519, 1152, 2626, 602, 1281, 711, 1045, 5803, 519, 16750, 568, 7849, 19139, 563, 300, 20706, 602, 616, 6225, 547, 1022, 3662, 781, 6668, 543, 12093, 538, 891, 9249, 616, 5697, 585, 563, 6546, 568, 519, 1655, 7778, 649, 723, 865, 2484, 585, 2363, 6804, 2831, 1336, 538, 4158, 23572, 267, 8184, 1652, 5017, 538, 9249, 609, 1100, 2244, 11975, 267, 23047, 1575, 10118, 14762, 543, 4129, 4328, 593, 9678, 10195, 609, 1100, 27899, 15712, 267, 19790, 2720, 14762, 538, 519, 20586, 6532, 540, 28801, 267, 3092, 267, 3092, 563, 4517, 9811, 267, 519, 2189, 2831, 1336, 1152, 593, 519, 9678, 8895, 777, 31310, 11866, 602, 19430, 16817, 547, 25666, 1010, 8367, 593, 519, 5169, 540, 2249, 269, 16729, 454, 268, 7665, 574, 559, 10730, 2494, 3241, 3057, 30358, 3773, 606, 2626, 281, 1692, 798, 596, 2268, 29981, 5365, 5288, 6846, 538, 513, 2789, 5311, 12972, 888, 296, 917, 540, 513, 7008, 540, 3800, 540, 5365, 281, 7224, 1047, 32311, 538, 29981, 9382, 267, 971, 607, 519, 11007, 4994, 543, 519, 12802, 4994, 267, 855, 1034, 29981, 16646, 3301, 15004, 798, 711, 12337, 891, 2418, 543, 1331, 873, 609, 519, 3529, 3977, 269, 645, 2393, 560, 1905, 2418, 666, 581, 10169, 1644, 547, 29981, 5365, 267, 855, 811, 1419, 616, 1644, 547, 519, 5223, 540, 13181, 547, 1875, 514, 845, 894, 630, 514, 19702, 656, 1369, 513, 804, 1228, 264, 4609, 538, 519, 1239, 1305, 563, 4415, 1114, 1239, 5036, 267, 594, 1131, 2503, 602, 519, 11007, 4994, 610, 12802, 4994, 1871, 585, 1434, 1239, 1131, 581, 1114, 269, 1280, 1383, 267, 609, 3501, 15971, 630, 7224, 15971, 6959, 693, 782, 264, 540, 1480, 267, 32315, 345, 2465, 267, 27580, 8759, 543, 610, 836, 27175, 594, 1131, 2503, 16275, 2418, 2673, 547, 476, 272, 269, 1809, 585, 3501, 15971, 540, 540, 519, 1482, 5027, 3148, 689, 25850, 267, 13855, 267, 2892, 600, 6387, 267, 3165, 267, 5521, 267, 519, 1655, 1871, 4397, 1522, 581, 6251, 547, 1547, 277, 610, 865, 269, 1656, 621, 1522, 581, 1114, 952, 649, 723, 476, 1015, 4922, 3309, 5439, 689, 1142, 11248, 982, 952, 649, 723, 1175, 835, 540, 1142, 630, 1015, 11864, 267, 476, 1015, 20883, 3092, 1916, 2690, 1034, 29981, 5717, 594, 1294, 1934, 538, 3194, 294, 622, 543, 1082, 824, 4025, 267, 519, 1445, 568, 593, 519, 3631, 543, 2409, 540, 2079, 269, 1809, 538, 1250, 1995, 267, 13542, 609, 29981, 16646, 4758, 7543, 2164, 568, 9247, 2141, 1813, 547, 2042, 538, 519, 1239, 267, 2864, 982, 2042, 538, 519, 2203, 610, 1505, 269, 6153, 1239, 786, 1711, 513, 10257, 3529, 609, 1022, 1505, 267, 855, 621, 568, 31029, 569, 2653, 547, 2097, 909, 609, 513, 3983, 1239, 1305, 585, 1383, 1813, 547, 3765, 534, 2254, 566, 540, 6090, 610, 7103, 538, 2637, 289, 1678, 269, 1656, 1256, 609, 834, 704, 2739, 1239, 257, 972, 666, 581, 2042, 609, 25294, 540, 4756, 4609, 952, 649, 585, 1383, 5635, 9696, 689, 782, 21378, 643, 21905, 267, 610, 5027, 29920, 689, 4551, 267, 2371, 267, 2831, 267, 13271, 563, 3383, 267, 952, 596, 917, 540, 1434, 2689, 4930, 8720, 713, 1888, 267, 610, 596, 917, 540, 3301, 602, 568, 3730, 585, 10992, 2789, 5311, 5447, 906, 585, 1585, 2010, 540, 2298, 267, 5225, 2022, 873, 1934, 538, 519, 4267, 563, 2704, 328, 294, 4629, 10976, 292, 1107, 14839, 540, 26945, 5311, 27754, 1369, 2789, 5311, 5447, 906, 543, 7020, 540, 1102, 3836, 7936, 1489, 454, 268, 24497, 328, 23006, 5455, 611, 1506, 599, 3773, 606, 2626, 281, 6701, 2030, 8290, 11763, 547, 2831, 888, 303, 1506, 339, 648, 334, 8290, 616, 1373, 6444, 519, 7786, 543, 2111, 547, 9062, 538, 7786 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 4197, 519, 4563, 14195, 692, 22706, 5426, 281, 5664, 3427, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 29804, 12151, 8119, 4107, 1004, 12314, 713, 2262, 609, 519, 13249, 21393, 540, 3670, 2929, 6014, 1004, 1282, 2622, 2782, 4083, 269, 1717, 267, 972, 729, 1776, 14042, 2680, 1634, 607, 519, 834, 14937, 14195, 2437, 799, 3576, 1747, 936, 1896, 5553, 543, 8507, 538, 796, 19960, 514, 762, 7092, 543, 2530, 585, 6634, 540, 3979, 1004, 269, 901, 1576, 1770, 6663, 547, 1683, 2143, 1344, 593, 713, 2565, 3140, 1974, 1247, 1818, 621, 11541, 543, 24669, 585, 1762, 6267, 899, 596, 780, 4089, 476, 272, 281, 1548, 12984, 519, 4563, 14195, 888, 763, 4563, 14195, 4016, 547, 519, 7142, 9194, 267, 17760, 29713, 267, 15746, 267, 543, 22266, 2126, 540, 1472, 12964, 2929, 3979, 2367, 267, 2021, 267, 543, 1453, 1063, 519, 476, 1428, 628, 543, 476, 866, 628, 5553, 269, 898, 3459, 950, 3864, 2477, 3323, 9467, 3979, 10437, 2066, 519, 9533, 7909, 267, 3056, 547, 835, 540, 519, 4102, 7142, 4955, 5928, 538, 1686, 269, 1452, 2043, 941, 3144, 1996, 741, 786, 547, 960, 5097, 593, 24914, 538, 3013, 543, 824, 2694, 540, 519, 17113, 269, 3509, 20338, 5747, 1354, 8757, 741, 18353, 1813, 547, 10792, 2175, 20829, 9635, 267, 5219, 547, 607, 1412, 1492, 5664, 10426, 720, 9538, 692, 4089, 476, 273, 281, 5020, 4438, 3416, 331, 29713, 454, 20228, 2314, 28815, 1394, 12577, 4074, 267, 2168, 6057, 267, 543, 9668, 689, 741, 3885, 269, 1358, 5185, 3875, 2591, 3232, 855, 7307, 547, 2226, 4296, 547, 741, 6561, 998, 2575, 267, 7544, 267, 12563, 2145, 525, 267, 543, 3909, 2853, 269, 32013, 2950, 2919, 1585, 2081, 547, 5706, 543, 11883, 609, 741, 6381, 267, 1519, 26453, 582, 1645, 4247, 267, 23646, 1524, 2504, 267, 29400, 267, 543, 6450, 2454, 269, 2368, 1256, 10692, 585, 5191, 7258, 3703, 4229, 1282, 519, 21829, 2782, 543, 2663, 8179, 31414, 3842, 3656, 1797, 780, 4089, 476, 274, 281, 661, 2006, 322, 11692, 543, 2991, 4118, 454, 292, 2006, 322, 11692, 3357, 7930, 2429, 519, 17113, 269, 8478, 2968, 519, 2063, 2197, 547, 13373, 880, 8474, 538, 476, 6642, 279, 282, 2705, 267, 5449, 10437, 1419, 1336, 2933, 6849, 1007, 3029, 540, 14226, 543, 7130, 1310, 11543, 5191, 269, 4813, 518, 10553, 5411, 1031, 4031, 1572, 834, 297, 574, 18844, 257, 538, 519, 2136, 2276, 547, 5302, 26021, 543, 5806, 3729, 1996, 9241, 15685, 3979, 4892, 269, 4634, 2221, 267, 2152, 4478, 7292, 8635, 3136, 547, 1860, 2486, 25340, 780, 6962, 912, 8139, 519, 1764, 540, 519, 4563, 14195, 2337, 8774, 1769, 593, 5571, 9620, 585, 7862, 5001, 269, 1635, 1565, 827, 938, 7104, 2250, 267, 649, 666, 1732, 5660, 519, 24279, 1500, 676, 1346, 945, 5030, 998, 891, 4101, 2053, 543, 11441, 2509, 2870, 513, 811, 1175, 2104, 269, 1306, 15609, 19664, 537, 2899, 1767, 267, 834, 14532, 267, 5103, 922, 530, 3402, 532, 1928, 267, 3112, 581, 796, 331, 1882, 267, 855, 952, 5185, 609, 10100, 267, 991, 711, 581, 5030, 1586, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14937, 14195, 585, 30488, 910, 630, 2690, 30488, 630, 2690, 30488, 4297, 676, 590, 661, 18722, 630, 26261, 3724, 994, 10831, 540, 9664, 281, 476, 7277, 7049, 516, 281, 4317, 3163, 8138, 268, 7049, 516, 281, 26913, 306, 7685, 7170, 281, 1280, 30488, 630, 2690, 30488, 264, 26705, 281, 28980, 21812, 281, 1280, 30488, 21848, 16186, 281, 16989, 12041, 281, 590, 661, 18722, 23458, 281, 2296, 3883, 14271, 18462, 12484, 1302, 4896, 267, 9170, 6487, 602, 3670, 2929, 6014, 1480, 7919, 941, 7166, 538, 519, 6014, 14195, 269, 1809, 875, 1082, 3979, 1480, 7919, 941, 7166, 538, 519, 4563, 14195, 910, 689, 519, 1376, 540, 519, 3864, 10553, 4123, 630, 322, 269, 476, 5611, 271, 264, 547, 519, 6406, 2782, 630, 5908, 276, 21663, 1656, 875, 1082, 941, 20665, 286, 634, 4563, 14195, 267, 513, 911, 4034, 344, 602, 7166, 6634, 540, 3979, 1480, 7919, 267, 568, 519, 1034, 896, 516, 19959, 2101, 2680, 538, 1158, 1686, 269, 589, 2101, 2804, 2680, 585, 2342, 543, 5607, 267, 513, 2282, 14603, 2680, 585, 4000, 267, 519, 25761, 2680, 538, 519, 1686, 540, 1169, 3979, 1977, 910, 952, 711, 1169, 1977, 256, 910, 543, 1034, 540, 721, 3112, 2626, 519, 14724, 2243, 827, 621, 269, 3371, 568, 513, 3732, 540, 1018, 596, 786, 1205, 689, 519, 1928, 560, 752, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1262, 16215, 281, 9861, 513, 21988, 10055, 15440, 4373, 265, 7072, 17041, 5620, 596, 2479, 9289, 945, 2306, 2386, 602, 707, 5172, 4213, 616, 4881, 12347, 286, 2290, 1271, 1909, 538, 1022, 3811, 1870, 568, 606, 2272, 9614, 256, 1323, 2272, 9614, 1568, 5702, 609, 5561, 547, 2327, 789, 616, 6126, 609, 519, 2472, 610, 2533, 789, 4309, 269, 1358, 849, 948, 4194, 2042, 602, 949, 8451, 543, 2097, 909, 609, 1007, 2081, 547, 1832, 741, 7218, 13854, 269, 4653, 649, 786, 2263, 1018, 621, 3217, 547, 1831, 513, 3811, 2272, 9614, 899, 1635, 1258, 693, 11162, 5295, 19137, 780, 1262, 4089, 476, 272, 281, 1548, 1281, 606, 2272, 9614, 798, 286, 12533, 2304, 2272, 9614, 6411, 607, 513, 561, 807, 2581, 1063, 513, 2754, 543, 922, 7218, 269, 4256, 1292, 3804, 568, 547, 1628, 2178, 3347, 609, 5561, 676, 1620, 741, 2115, 543, 4180, 1346, 2115, 616, 1558, 269, 901, 3322, 2834, 2792, 998, 15737, 267, 6049, 7125, 267, 543, 11401, 269, 3958, 267, 2272, 9946, 1419, 12840, 609, 1585, 6887, 1369, 741, 3919, 971, 607, 6455, 267, 6075, 3028, 267, 543, 1587, 1646, 547, 2232, 7817, 4145, 3927, 780, 5331, 1373, 3743, 585, 4509, 3347, 609, 782, 519, 3506, 538, 707, 4884, 865, 789, 3136, 1210, 513, 1880, 1565, 3760, 269, 1306, 606, 2272, 9614, 267, 596, 1131, 960, 2182, 547, 1174, 1142, 1153, 781, 2189, 4170, 543, 2671, 713, 1344, 609, 4143, 6887, 1369, 707, 2754, 269, 1411, 1522, 1256, 10891, 2866, 7886, 585, 3610, 610, 3984, 2621, 547, 13686, 1007, 2934, 2439, 1262, 4089, 476, 273, 281, 10341, 2877, 585, 1967, 12533, 6826, 5765, 513, 1390, 2272, 9614, 3340, 1896, 1898, 1983, 1384, 320, 264, 9442, 281, 13068, 543, 28450, 2792, 2337, 1628, 3972, 609, 7218, 269, 15765, 6947, 5849, 602, 1312, 6105, 1745, 4862, 543, 6956, 563, 321, 264, 9046, 14572, 281, 17291, 1761, 2152, 2038, 593, 543, 3981, 532, 14942, 3435, 9727, 7029, 543, 10727, 563, 322, 264, 9257, 281, 4236, 31227, 2789, 6589, 543, 21852, 8195, 7569, 5140, 942, 2359, 543, 4058, 5759, 563, 323, 264, 27065, 281, 15531, 5499, 2081, 547, 2743, 6075, 6788, 5036, 3811, 2272, 9946, 6306, 689, 1866, 563, 324, 264, 12243, 1740, 281, 11622, 908, 3927, 609, 1114, 13623, 8309, 3648, 547, 2949, 7817, 9547, 780, 13914, 827, 875, 891, 1983, 4019, 547, 4948, 3871, 269, 1280, 1383, 267, 950, 12180, 513, 1920, 16314, 267, 1434, 2792, 5849, 3025, 6487, 519, 1544, 267, 1966, 6061, 5543, 1407, 6397, 2591, 267, 543, 16542, 4991, 3388, 2944, 811, 7561, 780, 1262, 4089, 476, 274, 281, 11202, 3118, 547, 4742, 606, 2272, 9614, 12533, 4407, 972, 3884, 1405, 835, 1808, 2619, 2509, 2272, 2359, 267, 1082, 4648, 3180, 5232, 538, 4610, 899, 6355, 10029, 267, 16373, 267, 610, 18058, 269, 717, 8724, 1995, 538, 2127, 971, 607, 6455, 267, 6075, 1489, 267, 610, 1788, 2359, 2488, 3407, 4030, 883, 5883, 7817, 1894, 780, 12024, 938, 3659, 1635, 1258, 267, 2348, 12242, 5232, 538, 6355, 10029, 543, 20963, 8551, 2636, 1864, 547, 3142, 5876, 543, 7580, 3206, 1927, 1107, 1818, 1864, 1134, 9280, 547, 4383, 1950, 3785, 543, 1020, 4195, 6725, 2994, 780, 1262, 6962, 26279, 28398, 2359, 3091, 14785, 3255, 547, 1921, 609, 1004, 1247, 6117, 1870, 2208, 269, 8490, 9434, 3347, 1759, 593, 8994, 2463, 543, 5698, 5012, 547, 2799, 6075, 14017, 543, 1279, 3856, 1967, 269, 1924, 1985, 942, 596, 4497, 609, 4213, 267, 3314, 519, 4105, 1909, 5129, 676, 6131, 2272, 9946, 899, 1635, 1258, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3528, 1258, 5713, 607, 519, 5741, 15440, 267, 18058, 543, 16373, 693, 11162, 5295, 19137, 630, 290, 5183, 1070, 13327, 4370, 519, 11056, 540, 6725, 11044, 267, 1788, 11558, 267, 543, 29449, 2359, 585, 595, 5183, 779, 3292, 269, 589, 1164, 27780, 716, 6205, 609, 513, 4396, 5748, 538, 1788, 2359, 267, 6725, 267, 2029, 267, 543, 3860, 2504, 267, 1635, 1258, 814, 5216, 1296, 540, 1995, 2324, 585, 674, 28232, 476, 1911, 543, 674, 28232, 476, 4335, 3549, 538, 3309, 6080, 269, 2060, 513, 25328, 540, 3163, 630, 7034, 264, 538, 6355, 10029, 543, 513, 25328, 540, 20963, 8551, 630, 289, 11902, 264, 538, 8535, 689, 13985, 21590, 5441, 538, 9835, 14943, 1749, 267, 24696, 267, 1635, 1258, 24870, 538, 1361, 566, 543, 2500, 1966, 9010, 267, 1141, 646, 666, 1118, 513, 8101, 1764, 563, 5141, 1046, 5713, 607, 519, 20180, 528, 267, 27943, 16457, 693, 11162, 5295, 19137, 269, 18412, 814, 5249, 538, 1857, 3609, 585, 519, 2063, 8717, 543, 538, 1648, 3609, 585, 519, 2063, 3670, 1296, 269, 13405, 547, 11836, 595, 5183, 18412, 729, 10615, 540, 8889, 543, 15613, 585, 519, 4993, 21252, 1341, 24637, 5004, 7027, 630, 290, 3633, 10157, 264, 1141, 646, 5249, 547, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 21436, 9534, 1315, 10055, 5004, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 634, 2185, 18818, 2540, 6825, 513, 1713, 7432, 1448, 538, 3864, 1686, 267, 3226, 538, 519, 3909, 543, 2686, 21384, 269, 901, 1974, 4718, 519, 11944, 540, 1007, 2093, 543, 5322, 602, 1131, 5555, 1291, 547, 519, 9668, 540, 5132, 689, 2528, 267, 5935, 519, 2413, 1158, 538, 7096, 2081, 269, 2290, 971, 3350, 729, 4436, 7793, 6291, 267, 799, 15091, 1367, 17035, 543, 31658, 269, 7324, 922, 1034, 7986, 5515, 729, 2725, 3563, 661, 1188, 28496, 630, 322, 269, 476, 14695, 271, 1700, 15171, 278, 1070, 945, 28020, 10294, 267, 968, 18661, 568, 693, 1753, 269, 898, 568, 649, 945, 723, 8854, 856, 585, 513, 3802, 1848, 769, 1082, 2081, 267, 661, 1188, 28496, 779, 3948, 666, 581, 2938, 607, 30118, 1738, 540, 519, 6626, 10593, 2921, 1747, 1282, 713, 5736, 1107, 12077, 267, 519, 16795, 15139, 1436, 540, 3909, 6392, 543, 519, 3395, 8561, 593, 2123, 1995, 543, 4082, 780, 4263, 1472, 519, 1482, 942, 267, 7977, 14754, 519, 4332, 540, 31546, 15066, 3332, 267, 609, 4589, 899, 667, 14397, 1325, 662, 1512, 328, 630, 14695, 276, 1700, 15171, 272, 264, 6721, 1568, 602, 1131, 1831, 13654, 5931, 540, 5375, 10340, 269, 667, 14397, 779, 23942, 1290, 9037, 267, 2854, 1063, 476, 9873, 279, 543, 476, 15171, 272, 267, 6763, 856, 607, 1312, 513, 5339, 20100, 543, 513, 3532, 8086, 540, 4207, 4145, 827, 13919, 267, 6214, 267, 543, 4984, 269, 1635, 2198, 908, 1010, 16502, 1369, 606, 16545, 7122, 20651, 676, 3140, 5515, 543, 14336, 5566, 3197, 267, 667, 14397, 3927, 2813, 513, 2230, 1141, 646, 1223, 2263, 1950, 2055, 3823, 519, 1480, 2783, 543, 938, 2078, 609, 519, 10143, 780, 1607, 2796, 568, 2629, 950, 6313, 1808, 2621, 543, 7835, 538, 2185, 18818, 10601, 2342, 267, 1519, 1346, 602, 3576, 1747, 6251, 547, 1753, 585, 721, 267, 538, 4279, 6628, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 7377, 3634, 519, 2338, 563, 11133, 1499, 815, 1496, 343, 585, 1535, 538, 2039, 263, 272, 267, 476, 7906, 264, 6540, 454, 258, 865, 2484, 519, 1655, 543, 20125, 1259, 547, 2638, 6305, 1297, 912, 258, 4179, 2517, 4178, 6745, 583, 3645, 22017, 3118, 3820, 270, 7090, 3491, 13559, 3562, 1922, 785, 17376, 830, 5991, 3784, 13045, 3698, 568, 318, 18905, 16325, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 630, 11133, 12262, 476, 273, 1341, 476, 272, 15892, 1038, 952, 1003, 4939, 1775, 2652, 476, 271, 912, 2018, 1293, 6834, 476, 272, 454, 2018, 2736, 454, 825, 952, 1293, 2652, 476, 271, 543, 1003, 11203, 272, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 2891, 24314, 1592, 540, 2338, 281, 5602, 825, 1820, 3799, 13246, 994, 825, 1948, 6882, 3217, 538, 519, 1599, 543, 12055, 1963, 281, 24042, 267, 1305, 267, 1592, 607, 7440, 563, 825, 1948, 519, 1101, 4661, 1152, 3340, 547, 1780, 538, 519, 1599, 2012, 1510, 519, 630, 1916, 825, 1948, 519, 1101, 4661, 568, 513, 1599, 602, 1281, 519, 6268, 540, 6936, 610, 8771, 563, 825, 1948, 6882, 263, 529, 318, 18905, 267, 2338, 264, 568, 519, 1482, 607, 2630, 912, 825, 1948, 585, 1003, 538, 2338, 912, 825, 1948, 567, 952, 568, 318, 18905, 16325, 2187, 825, 1948, 11434, 6305, 318, 21671, 5332, 13246, 6910, 16325, 994, 825, 6305, 318, 21671, 5332, 13246, 815, 6882, 263, 529, 318, 18905, 267, 2338, 994, 825, 1820, 2891, 28269, 2338, 1336, 1369, 519, 3312, 1592, 281, 5602, 825, 1820, 8443, 18905, 20311, 585, 6305, 20311, 538, 6305, 318, 21671, 5332, 13246, 7481, 825, 23288, 763, 2164, 912, 24314, 1592, 540, 2338, 912, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 267, 476, 2412, 267, 476, 6078, 267, 476, 5655, 267, 476, 6246, 267, 476, 4510, 267, 476, 3393, 267, 476, 5379, 267, 476, 5325, 267, 476, 4366, 267, 476, 5392, 267, 476, 2004, 2639, 28269, 2338, 1336, 1369, 519, 3312, 1592, 912, 314, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 267, 476, 4029, 267, 476, 4391, 267, 476, 6078, 267, 476, 6246, 267, 476, 5325, 2639, 825, 15981, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 7510, 16379, 454, 5228, 30220, 1104, 30220, 454, 5228, 30220, 1104, 31764, 12265, 454, 5228, 4351, 1104, 28219, 9792, 454, 3698, 1205, 1805, 8692, 10031, 825, 28219, 14630, 815, 4351, 5091, 622, 4590, 825, 13371, 14630, 815, 28219, 14630, 269, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 5602, 825, 29250, 815, 1412, 10674, 2517, 323, 559, 6975, 2593, 23995, 8692, 270, 262, 1341, 13371, 14630, 454, 825, 2132, 29250, 692, 3698, 4351, 5091, 622, 10031, 825, 8173, 825, 901, 1599, 786, 2132, 513, 4351, 30220, 1063, 1079, 30220, 3097, 825, 3615, 563, 825, 8173, 825, 1376, 815, 30220, 269, 1598, 696, 830, 3488, 2735, 280, 268, 6860, 268, 1626, 3299, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 5073, 825, 1439, 815, 30220, 269, 852, 4590, 825, 18232, 815, 1439, 910, 1376, 454, 825, 703, 5091, 12265, 815, 630, 23169, 6155, 904, 2608, 476, 2190, 2608, 476, 2568, 2608, 476, 2568, 264, 1341, 18232, 269, 572, 6948, 454, 825, 4351, 318, 16149, 815, 28219, 9792, 17301, 5091, 12265, 994, 825, 2132, 1376, 1341, 31764, 12265, 263, 572, 6948, 284, 12690, 318, 16149, 2020, 3698, 1292, 3890, 1384, 567, 533, 815, 1205, 1805, 8692, 4590, 567, 1820, 533, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5035, 31287, 10031, 825, 15981, 12218, 18257, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 7329, 267, 2012, 267, 4087, 16182, 2187, 1038, 1582, 269, 573, 815, 7329, 454, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 7456, 6327, 16182, 815, 4087, 16182, 692, 2908, 318, 655, 1943, 2465, 815, 31287, 263, 272, 267, 834, 32178, 2580, 476, 273, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 343, 815, 476, 280, 454, 344, 815, 476, 273, 454, 2745, 3287, 1262, 344, 264, 1948, 476, 10037, 454, 2745, 3287, 30819, 264, 1948, 476, 275, 269, 276, 454, 2745, 3287, 2260, 344, 264, 1948, 476, 275, 692, 2745, 3287, 543, 586, 264, 1948, 476, 273, 454, 2745, 3287, 610, 586, 264, 1948, 476, 280, 454, 2745, 263, 2254, 1535, 264, 1948, 8771, 692, 345, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 2745, 3287, 538, 1990, 264, 1948, 8771, 454, 2745, 3287, 711, 538, 1990, 264, 1948, 6936, 454, 2745, 12169, 538, 1990, 264, 1948, 6936, 454, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 27868, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 27868, 316, 13127, 363, 375, 19867, 378, 19404, 491, 14035, 491, 12255, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11721, 785, 7308, 268, 706, 12393, 5991, 3784, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 4792, 269, 8064, 260, 994, 258, 700, 10105, 281, 825, 476, 279, 1428, 454, 258, 2598, 331, 10105, 281, 476, 271, 454, 258, 11192, 20504, 539, 281, 825, 476, 3445, 269, 274, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 15389, 269, 274, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 314, 272, 267, 274, 267, 275, 267, 273, 267, 273, 316, 7055, 16482, 258, 476, 14756, 503, 27936, 22047, 25060, 483, 12571, 360, 1109, 333, 1341, 476, 272, 476, 14748, 10533, 368, 12255, 7511, 12255, 14756, 482, 1109, 333, 4548, 8147, 10429, 370, 12255, 21211, 421, 25693, 21928, 476, 272, 476, 28996, 562, 1109, 18263, 489, 25426, 368, 27818, 25060, 483, 418, 489, 361, 476, 272, 13127, 23687, 454, 258, 562, 24724, 8147, 23746, 419, 509, 354, 420, 485, 367, 16533, 495, 11858, 502, 21928, 22047, 19404, 491, 14035, 491, 7511, 10533, 368, 12255, 12486, 417, 479, 485, 18777, 378, 9463, 359, 20069, 22047, 19404, 491, 14035, 491, 7511, 10533, 368, 12255, 8147, 19867, 378, 24731, 30244, 14748, 19404, 491, 14035, 491, 7511, 12255, 25707, 16482, 258, 22614, 353, 374, 28032, 489, 476, 272, 912, 16482, 258, 476, 27447, 24662, 281, 1496, 272, 267, 274, 267, 275, 267, 273, 267, 273, 2639, 258, 476, 27447, 24731, 281, 476, 273, 454, 16482, 16482, 258, 22614, 353, 374, 28032, 489, 476, 273, 912, 16482, 258, 476, 27447, 24662, 281, 1496, 274, 267, 272, 267, 274, 267, 275, 267, 273, 2639, 258, 476, 27447, 24731, 281, 476, 274, 454, 16482, 16482, 258, 476, 13644, 368, 13107, 492, 16088, 454, 16482, 16482, 258, 476, 21251, 420, 25693, 418, 505, 368, 418, 498, 373, 31308, 509, 12255, 14756, 482, 27818, 417, 479, 485, 18777, 378, 12255, 14756, 482, 15159, 9463, 359, 13644, 375, 7511, 24724, 25707, 258, 476, 9463, 359, 420, 25693, 12916, 379, 17958, 30903, 507, 14035, 500, 7511, 744, 263, 272, 264, 476, 7511, 419, 358, 374, 25426, 368, 25707, 258, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 16533, 493, 30678, 744, 3799, 317, 273, 264, 476, 25707, 258, 476, 12255, 14756, 482, 18809, 9463, 359, 20069, 22047, 19404, 491, 14035, 491, 7511, 12255, 21211, 8147, 12916, 484, 14395, 481, 23746, 420, 25693, 21251, 27882, 351, 19404, 491, 14035, 491, 24731, 27064, 364, 13601, 418, 361, 350, 25707, 16482, 16482, 258, 692, 258, 7711, 331, 322, 3009, 284, 11034, 7531, 5035, 8827, 912, 825, 1948, 476, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 825, 1948, 1219, 1265, 291, 340, 12393, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 825, 1948, 672, 1948, 1293, 5157, 316, 23989, 419, 353, 374, 16533, 493, 30678, 419, 511, 487, 30678, 328, 7511, 30317, 27381, 510, 14748, 12255, 8147, 31284, 21550, 485, 23746, 419, 506, 489, 20992, 26406, 496, 417, 354, 377, 31365, 7511, 12255, 14756, 482, 454, 825, 1948, 672, 2451, 815, 476, 272, 454, 825, 1948, 672, 1318, 815, 7003, 25225, 9984, 272, 454, 825, 1948, 672, 759, 815, 476, 271, 454, 825, 1948, 672, 1247, 2451, 10922, 1318, 912, 825, 1948, 1363, 4571, 815, 630, 3847, 266, 2431, 264, 2260, 273, 454, 825, 1948, 1363, 1293, 815, 476, 271, 454, 825, 1948, 1363, 585, 1003, 538, 15358, 912, 825, 1948, 17264, 1293, 6834, 630, 11133, 10922, 4571, 994, 825, 1948, 1363, 952, 1293, 3436, 4571, 912, 825, 1948, 17264, 759, 815, 4571, 454, 825, 1948, 17264, 1318, 815, 4571, 268, 272, 454, 825, 1948, 1363, 3116, 912, 825, 1948, 17264, 2451, 815, 4571, 266, 272, 692, 825, 1948, 672, 2132, 759, 692, 825, 1948, 13127, 379, 360, 418, 483, 351, 418, 490, 485, 421, 496, 486, 454, 825, 1219, 1265, 291, 340, 12393, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 3500, 815, 476, 271, 454, 1038, 3728, 815, 476, 271, 454, 1038, 1948, 3500, 420, 369, 364, 13601, 27882, 354, 8147, 9724, 420, 369, 364, 4970, 353, 27882, 354, 8147, 21588, 361, 13601, 418, 361, 350, 25203, 372, 421, 479, 485, 454, 1038, 3500, 815, 15358, 314, 338, 869, 2639, 1038, 3728, 815, 15358, 19559, 4548, 314, 9724, 27663, 1038, 1247, 3500, 11203, 3728, 912, 2018, 3500, 815, 15358, 314, 338, 869, 2639, 2018, 3728, 815, 15358, 19559, 4548, 314, 9724, 316, 6540, 1038, 1948, 17276, 365, 480, 27064, 363, 7511, 24662, 9463, 352, 454, 1038, 3500, 815, 476, 271, 454, 1038, 1247, 3500, 11203, 3728, 912, 2018, 3500, 815, 15358, 314, 338, 869, 2639, 2018, 3728, 815, 15358, 314, 9724, 6540, 1038, 2132, 3500, 454, 258, 7711, 331, 322, 3009, 284, 754, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 10619, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 10619, 316, 17276, 494, 506, 27381, 351, 11590, 490, 14756, 368, 419, 509, 358, 421, 502, 369, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 14142, 8584, 268, 273, 323, 2173, 520, 3700, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 4375, 269, 6858, 260, 994, 258, 700, 10105, 281, 825, 476, 29574, 454, 258, 2598, 331, 10105, 281, 476, 271, 454, 258, 11192, 20504, 539, 281, 825, 476, 6507, 269, 274, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 3707, 269, 280, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 314, 314, 272, 267, 274, 267, 276, 267, 278, 25662, 1015, 267, 1556, 267, 1626, 267, 736, 25662, 2537, 267, 1789, 267, 4097, 267, 2568, 14963, 315, 333, 274, 7055, 16482, 258, 22614, 376, 500, 19540, 503, 22047, 421, 360, 502, 10533, 486, 7511, 28997, 501, 25622, 23521, 354, 10254, 353, 13161, 511, 1109, 332, 1535, 562, 1109, 419, 509, 358, 421, 502, 369, 18809, 8147, 15159, 12571, 355, 11858, 502, 21928, 22047, 25203, 362, 21550, 485, 29219, 12486, 13644, 354, 419, 509, 358, 421, 502, 369, 10429, 371, 20069, 417, 28187, 31284, 29830, 373, 26233, 356, 16088, 454, 16482, 16482, 258, 17276, 363, 493, 27310, 18809, 7511, 10533, 368, 12255, 10524, 492, 26266, 355, 28996, 9463, 367, 418, 490, 487, 22287, 485, 31365, 26406, 496, 28578, 25707, 258, 17276, 363, 493, 27310, 7511, 21588, 361, 22047, 10533, 368, 12255, 27962, 30678, 31176, 491, 13601, 27310, 7511, 31006, 12571, 492, 22047, 10533, 368, 12255, 25707, 16482, 16482, 16482, 16482, 258, 22614, 353, 374, 28032, 489, 476, 272, 16088, 454, 16482, 16482, 258, 476, 27447, 24662, 16088, 9795, 815, 20886, 272, 267, 274, 267, 276, 267, 278, 25662, 1015, 267, 1556, 267, 1626, 267, 736, 25662, 2537, 267, 1789, 267, 4097, 267, 2568, 316, 3910, 3077 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 7706, 540, 4264, 6189, 267, 519, 5610, 540, 6404, 14025, 5656, 609, 2413, 6703, 814, 7153, 607, 513, 2565, 1858, 540, 1445, 269, 901, 7678, 25186, 2757, 6302, 1063, 1585, 2679, 2010, 267, 5807, 5499, 3435, 602, 2232, 1648, 4398, 267, 3595, 3106, 267, 543, 1570, 5647, 269, 901, 3184, 12538, 883, 519, 16082, 540, 4264, 1374, 4808, 267, 3246, 513, 3102, 7650, 540, 875, 891, 3741, 666, 581, 4294, 538, 2259, 780, 3080, 971, 4161, 6013, 538, 11028, 4290, 532, 3595, 9479, 609, 6404, 14025, 7835, 269, 9605, 3106, 6042, 1419, 4268, 4470, 593, 519, 5003, 3599, 8760, 540, 513, 2679, 282, 4061, 267, 16471, 1114, 3252, 1369, 513, 2582, 2497, 3340, 6297, 7156, 269, 1280, 3236, 267, 10821, 543, 6413, 946, 11721, 659, 1006, 10659, 1419, 1459, 519, 1034, 1950, 1374, 21140, 1813, 547, 22608, 3595, 3009, 4170, 269, 1452, 7965, 8451, 1317, 10506, 28173, 2653, 1569, 585, 6595, 6472, 267, 2550, 267, 543, 5234, 267, 6466, 10821, 4559, 2154, 5094, 19838, 816, 2798, 269, 9182, 267, 9858, 1590, 10880, 513, 10347, 3666, 1063, 4180, 7850, 9668, 9883, 543, 4509, 3608, 10009, 3270, 780, 2414, 7753, 891, 9465, 267, 16413, 949, 2308, 3860, 2994, 971, 607, 9001, 1930, 267, 4837, 25047, 6202, 338, 543, 4837, 1532, 17977, 6173, 2209, 269, 3690, 8001, 11700, 17007, 5512, 2067, 1769, 21774, 267, 4227, 5841, 8654, 7569, 1247, 15386, 11617, 11495, 2934, 602, 3986, 3593, 1995, 269, 5047, 267, 6220, 971, 2609, 8309, 9797, 547, 519, 1788, 781, 2949, 6940, 12773, 1107, 3177, 789, 15666, 547, 2199, 3595, 9479, 543, 2773, 4441, 780, 28723, 2326, 2099, 1776, 4105, 2460, 540, 4264, 1374, 269, 11627, 725, 538, 5374, 543, 6405, 2504, 723, 3366, 547, 519, 1646, 540, 1164, 26024, 8925, 6353, 676, 4389, 2825, 5222, 543, 8476, 15006, 269, 6201, 1331, 1970, 28003, 2848, 1564, 267, 13381, 27960, 538, 6405, 30012, 267, 543, 3209, 13471, 2326, 6508, 689, 7791, 2200, 269, 1635, 28408, 891, 2472, 267, 16413, 7413, 3653, 5108, 267, 18359, 1875, 3146, 2908, 762, 6151, 2326, 267, 543, 2539, 22993, 1648, 2157, 2404, 609, 4070, 2238, 780, 306, 924, 8417, 3788, 513, 2629, 3815, 538, 1821, 2358, 2796, 1302, 3617, 6272, 269, 23889, 3039, 5989, 267, 971, 607, 3543, 730, 22908, 267, 4764, 10651, 267, 543, 19777, 342, 2297, 267, 2337, 4383, 7088, 4248, 20359, 267, 11574, 4683, 3002, 6532, 2360, 267, 543, 3895, 9265, 5726, 269, 3958, 267, 21825, 29466, 5656, 547, 11126, 3859, 10066, 10597, 12809, 8022, 543, 9023, 1761, 267, 7551, 10893, 16126, 593, 7344, 1949, 780, 16966, 2359, 543, 4155, 3118, 1374, 13822, 1898, 3334, 540, 1022, 1804, 8397, 1646, 1788, 269, 7743, 569, 2966, 5397, 1811, 267, 22274, 693, 3617, 11996, 267, 7520, 15774, 3991, 7781, 3350, 1510, 18731, 31355, 3106, 610, 3308, 9029, 269, 5015, 267, 8939, 5078, 13675, 543, 14827, 6753, 6908, 6050, 6808, 2095, 543, 5849, 10220, 609, 9431, 4170, 12044, 6595, 6174, 1569, 780, 1103, 3932, 267, 7598, 4264, 1374, 4808, 538, 6404, 14025, 3785, 3322, 10188, 6946, 954, 680, 904, 1851, 3309, 2188, 267, 1519, 3595, 3106, 267, 1570, 5647, 267, 3135, 4058, 267, 543, 6283, 5989, 269, 1677, 3035, 3811, 4093, 267, 16413, 1590, 2611, 32448, 540, 5969, 12967, 4066, 267, 1655, 2853, 267, 543, 9687, 9431, 10850, 269, 1306, 2486, 5170, 547, 20920, 609, 10296, 2518, 2591, 899, 2916, 1689, 543, 4199, 22930, 267, 8508, 11455, 4485, 547, 11265, 1374, 786, 17216, 1404, 513, 11358, 1909, 538, 5935, 811, 14388, 267, 12581, 267, 543, 25133, 2950, 585, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 1271, 6932, 3390, 568, 5466, 3595, 9479, 607, 1644, 547, 6404, 946, 950, 9256, 5656, 609, 2413, 6703, 269, 9603, 547, 922, 32687, 2470, 609, 824, 2679, 1462, 3098, 621, 666, 849, 948, 547, 1489, 873, 538, 4264, 3435, 8888, 519, 18736, 9744, 547, 1831, 851, 540, 606, 1648, 10451, 3070, 269, 7046, 267, 4837, 25047, 6202, 338, 543, 4837, 1532, 17977, 6173, 2209, 269, 1715, 4359, 1570, 5079, 1312, 538, 5374, 543, 6405, 666, 3565, 547, 519, 2949, 6060, 1247, 3135, 8417, 568, 849, 2629, 269, 28582, 547, 3848, 476, 276, 910, 10003, 3118, 5071, 585, 3606, 1344, 593, 1569, 2359, 543, 5397, 3118, 1374, 267, 19437, 267, 543, 4087, 5542, 269, 1763, 7808, 543, 11233, 946, 11721, 659, 1006, 10659, 3335, 10460, 519, 1034, 2352, 1374, 2591, 1813, 547, 3595, 3009, 2152, 269, 4635, 30120, 543, 2242, 538, 11265, 269, 634, 1303, 27509, 543, 608, 1080, 616, 1360, 1271, 547, 519, 5347, 8647, 540, 519, 9744, 267, 609, 519, 1826, 540, 946, 1586, 8159, 519, 3259, 689, 519, 6679, 543, 13307, 540, 519, 1303, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 20980, 5071, 13832, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 13129, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 5890, 7675, 543, 853, 1681, 23213, 332, 20488, 692, 20756, 972, 256, 1411, 1522, 2907, 917, 602, 6089, 332, 20488, 568, 606, 6909, 1426, 585, 9002, 269, 898, 814, 1175, 519, 1318, 3575, 540, 5567, 602, 3395, 12256, 991, 269, 1809, 1705, 596, 849, 917, 602, 3006, 31908, 5749, 1405, 2141, 2111, 547, 3049, 741, 9002, 2047, 689, 519, 6089, 286, 901, 1223, 581, 1317, 789, 991, 547, 979, 1394, 547, 960, 267, 1616, 2576, 3116, 630, 3697, 546, 6758, 14386, 547, 948, 609, 8023, 267, 610, 3274, 991, 513, 2736, 269, 3143, 19048, 910, 11589, 543, 13936, 6089, 332, 20488, 2501, 547, 519, 15063, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1262, 1432, 568, 11589, 5144, 15140, 5331, 3843, 547, 25837, 26025, 856, 540, 922, 8546, 910, 11589, 5144, 1568, 538, 513, 2147, 1259, 256, 1879, 649, 2161, 1412, 10339, 816, 10086, 621, 1797, 1210, 9543, 2604, 547, 1205, 519, 5144, 13576, 689, 519, 28244, 269, 1703, 616, 1614, 2081, 547, 2769, 5144, 281, 1688, 4082, 267, 8261, 15450, 267, 543, 3167, 15450, 269, 1284, 786, 1445, 593, 891, 2409, 2663, 538, 519, 3184, 780, 1262, 3963, 4558, 6089, 332, 20488, 15140, 1805, 1681, 6829, 5144, 2636, 721, 547, 1683, 938, 2370, 3283, 609, 10475, 6089, 332, 20488, 1256, 952, 649, 3112, 12016, 873, 5612, 269, 6056, 540, 621, 899, 5986, 3063, 6980, 6619, 540, 942, 543, 16171, 873, 585, 2104, 946, 269, 3807, 3002, 909, 519, 13792, 7594, 267, 543, 21350, 10042, 256, 20550, 1676, 568, 6039, 269, 14168, 890, 6470, 267, 3884, 1405, 621, 2496, 3086, 1577, 781, 2263, 1114, 2553, 547, 2769, 543, 9108, 4558, 707, 5277, 4154, 2439, 1262, 21652, 20309, 16001, 265, 3721, 476, 272, 17041, 25169, 3946, 8499, 1354, 4358, 269, 11162, 17349, 6927, 2439, 265, 3721, 476, 273, 17041, 9255, 513, 2973, 8708, 18284, 707, 6089, 269, 5994, 20414, 986, 785, 28979, 538, 513, 12826, 780, 265, 3721, 476, 274, 17041, 2060, 835, 1688, 267, 1106, 513, 595, 3337, 1472, 707, 6089, 269, 2422, 707, 14853, 543, 4994, 9416, 547, 9900, 14771, 519, 5160, 3297, 519, 4158, 1858, 4478, 707, 562, 21451, 630, 732, 7637, 1040, 2608, 3682, 9133, 15846, 8347, 3308, 1944, 513, 12837, 344, 3068, 593, 707, 6089, 543, 1747, 11263, 1141, 519, 5023, 1131, 581, 780, 265, 3721, 476, 275, 17041, 15233, 11931, 267, 24754, 2604, 1247, 5329, 11263, 1869, 269, 22447, 1058, 2095, 2509, 707, 31840, 269, 5213, 1405, 7340, 547, 6467, 5011, 543, 10956, 519, 1184, 585, 519, 824, 6089, 780, 8855, 267, 2259, 2306, 3501, 269, 7435, 4082, 4991, 811, 6899, 936, 942, 267, 543, 4166, 2614, 267, 596, 3513, 1831, 606, 4274, 2439, 1262, 10048, 783, 27124, 16001, 288, 8261, 6802, 13333, 13974, 547, 1688, 4082, 855, 3096, 32137, 3079, 540, 4887, 1379, 269, 15015, 15450, 2097, 609, 1585, 5546, 543, 7306, 540, 1187, 23764, 1572, 1166, 5190, 602, 3514, 5196, 707, 28244, 269, 2991, 11093, 519, 1166, 1052, 7157, 267, 1246, 891, 3268, 1384, 265, 3721, 476, 272, 17041, 8293, 2465, 2763, 519, 6023, 14578, 2394, 519, 5551, 2179, 540, 5144, 8928, 883, 519, 4015, 11480, 269, 5901, 20367, 1063, 1312, 28244, 1169, 1906, 3764, 780, 265, 3721, 476, 273, 17041, 15188, 519, 6394, 5144, 5265, 2899, 2944, 269, 2859, 593, 4859, 4808, 2630, 2439, 1262, 25821, 27124, 16001, 2690, 7928, 3755, 610, 1346, 17596, 547, 2769, 3677, 9424, 3533, 267, 3167, 15450, 616, 2706, 5363, 269, 1452, 3457, 708, 10028, 513, 4816, 781, 2067, 29186, 1782, 4806, 998, 28253, 5468, 269, 15439, 8936, 519, 695, 3658, 547, 1142, 6089, 267, 2490, 593, 519, 3684, 267, 1694, 1394, 267, 6001, 267, 543, 4585, 519, 9059, 4755, 2439, 1262, 1805, 4392, 13832, 16001, 5629, 596, 4312, 4904, 707, 11149, 609, 4190, 11344, 12772, 267, 2327, 1697, 7829, 543, 4859, 1384, 265, 18610, 569, 6829, 5144, 666, 3251, 693, 4055, 2837, 585, 2185, 3108, 269, 1717, 267, 12104, 4733, 610, 19068, 607, 4166, 607, 2009, 563, 265, 1403, 6740, 538, 513, 26806, 1305, 2630, 476, 275, 9180, 630, 4375, 13790, 1070, 5144, 16569, 585, 909, 547, 2947, 2395, 563, 265, 1280, 3476, 11091, 267, 1402, 621, 3330, 519, 29606, 3296, 11196, 1240, 9180, 610, 2539, 2567, 3670, 3275, 538, 513, 2834, 2620, 29606, 610, 12964, 3275, 538, 513, 6131, 2620, 29606, 780, 2414, 555, 1177, 13792, 6089, 332, 20488, 267, 4483, 621, 547, 519, 26806, 16074, 610, 2196, 3636, 1216, 1472, 519, 20177, 8708, 269, 8550, 17196, 610, 14974, 6089, 332, 20488, 607, 621, 30001, 1898, 5567, 543, 5932, 3905, 9634, 602, 6633, 9002, 262, 10347, 28182, 780, 4517, 972, 596, 723, 621, 910, 3388, 596, 2877, 547, 917, 827, 11589, 543, 13936, 6089, 332, 20488, 256, 1635, 1739, 891, 4388, 267, 596, 7668, 3054, 547, 3136, 3246, 3407, 32351, 585, 707, 1126, 1256, 1282, 11112, 610, 4101, 2053, 269, 8414, 8808, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29261, 949, 1134, 8263, 602, 782, 1072, 4600, 4758, 5796, 593, 20418, 917, 1018, 789, 616, 6158, 827, 282, 8909, 569, 713, 568, 3274, 711, 865, 269, 631, 4548, 616, 1419, 2451, 11821, 543, 18516, 1310, 8391, 20849, 5796, 689, 513, 1297, 540, 2959, 1107, 930, 4636, 569, 18468, 20418, 568, 1945, 602, 1152, 513, 1507, 1297, 540, 2021, 666, 798, 543, 519, 1152, 2626, 568, 547, 7110, 610, 3247, 563, 6524, 594, 1376, 267, 594, 1131, 899, 547, 2161, 972, 616, 930, 5863, 2657, 6250, 6002, 267, 11068, 342, 1161, 543, 24930, 856, 972, 282, 13730, 547, 1489, 543, 1217, 20418, 11299, 269, 2334, 723, 22734, 3573, 2866, 267, 5310, 31903, 676, 20418, 2933, 1107, 855, 875, 1281, 519, 1007, 544, 636, 2995, 945, 789, 616, 267, 950, 693, 1459, 713, 568, 10691, 16798, 888, 6624, 1007, 3237, 616, 14281, 547, 5873, 602, 930, 2657, 6250, 6002, 949, 4309, 1447, 982, 3368, 513, 1554, 779, 6044, 593, 10867, 6484, 269, 769, 1840, 1352, 949, 711, 723, 6089, 325, 539, 1200, 1378, 4816, 267, 5310, 25884, 930, 540, 519, 2042, 1352, 568, 1631, 4397, 547, 4194, 269, 9453, 2417, 2866, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22091, 7675, 543, 853, 1681, 23213, 332, 20488, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 23213, 16567, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 7524, 1158, 540, 5600, 8535, 22230, 766, 267, 4481, 3695 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2013, 454, 825, 3116, 912, 1038, 1775, 815, 1205, 5334, 889, 8161, 6025, 267, 737, 994, 1038, 952, 1775, 2652, 7003, 6025, 314, 273, 316, 2187, 2018, 2132, 512, 454, 1038, 1007, 15220, 10242, 815, 512, 314, 273, 6012, 281, 328, 316, 1341, 1496, 24525, 6025, 314, 273, 6012, 328, 3910, 737, 267, 546, 268, 272, 13580, 1341, 512, 314, 273, 6012, 328, 266, 272, 281, 2639, 1038, 1007, 318, 294, 815, 512, 314, 272, 316, 910, 512, 314, 273, 6012, 328, 6012, 272, 316, 1341, 1007, 15220, 10242, 5157, 6012, 272, 2639, 1038, 1007, 318, 4486, 815, 1007, 15220, 10242, 314, 271, 6012, 271, 2639, 1038, 522, 815, 1496, 2908, 318, 4486, 267, 1007, 318, 294, 267, 1007, 15220, 10242, 2639, 1038, 2132, 556, 25270, 318, 1372, 920, 848, 263, 334, 267, 546, 9239, 258, 5192, 519, 1871, 2404, 609, 513, 1883, 454, 3698, 1205, 6025, 267, 737, 267, 546, 2187, 825, 952, 546, 2652, 476, 272, 912, 1038, 585, 1883, 267, 9041, 267, 1871, 538, 512, 314, 273, 14158, 2018, 952, 737, 2652, 1883, 912, 3546, 2132, 1871, 454, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 1775, 815, 1205, 5334, 889, 8161, 6025, 267, 737, 994, 1038, 2132, 1205, 6025, 314, 273, 6012, 328, 3910, 737, 267, 546, 268, 272, 9239, 3698, 2638, 18425, 19702, 1218, 6025, 267, 546, 2187, 825, 952, 546, 2652, 476, 271, 912, 1038, 7682, 7003, 6025, 264, 2652, 476, 274, 454, 1038, 7682, 512, 314, 272, 316, 2652, 476, 272, 454, 825, 3116, 912, 1038, 1948, 2638, 717, 17032, 2953, 1145, 454, 1038, 1453, 318, 294, 23544, 815, 2040, 8443, 340, 314, 272, 316, 585, 579, 538, 512, 314, 273, 316, 7481, 1038, 7682, 512, 314, 272, 316, 2652, 1453, 318, 294, 23544, 454, 1038, 1948, 2638, 602, 621, 814, 1453, 454, 1038, 7682, 7003, 6025, 314, 273, 8079, 3436, 476, 271, 267, 512, 454, 1038, 1948, 2638, 1883, 2953, 1145, 454, 1038, 585, 1775, 538, 2039, 12759, 6025, 314, 273, 8079, 268, 272, 2187, 2018, 7682, 512, 314, 273, 6012, 328, 6012, 271, 316, 2999, 512, 314, 273, 6012, 328, 266, 272, 6012, 271, 2639, 1038, 7682, 512, 314, 271, 316, 2652, 512, 314, 273, 6012, 271, 6012, 271, 3910, 630, 339, 267, 546, 994, 1038, 1948, 2638, 2450, 2953, 1145, 454, 1038, 1295, 12248, 815, 16733, 6352, 6025, 314, 273, 8079, 910, 476, 272, 264, 1315, 476, 273, 264, 2878, 546, 454, 1038, 3193, 12248, 815, 630, 6352, 6025, 314, 273, 8079, 2608, 476, 273, 264, 2878, 546, 454, 1038, 7682, 1295, 12248, 10922, 512, 314, 272, 316, 10922, 3193, 12248, 267, 630, 339, 267, 1295, 12248, 267, 512, 314, 272, 3910, 3193, 12248, 994, 1038, 585, 579, 538, 512, 314, 273, 14158, 2018, 2638, 18425, 19702, 1218, 26086, 267, 546, 268, 272, 9239, 3698, 1449, 5560, 3704, 267, 1871, 12248, 2187, 825, 1104, 4351, 454, 825, 642, 1023, 815, 1592, 263, 9792, 263, 272, 267, 1871, 12248, 1341, 476, 272, 4917, 825, 4351, 11075, 28984, 263, 10094, 994, 825, 512, 815, 1007, 29728, 5560, 3704, 994, 825, 1820, 1412, 32061, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 512, 815, 1039, 6025, 267, 642, 267, 642, 1262, 273, 267, 3178, 994, 1038, 1820, 512, 314, 272, 2639, 1038, 2638, 18425, 19702, 1218, 6025, 267, 3178, 994, 825, 1820, 1412, 1326, 1154, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 7682, 1205, 6025, 267, 642, 267, 3178, 264, 2652, 642, 1262, 273, 454, 825, 4351, 11075, 28984, 263, 10094, 994, 825, 1820, 1412, 8145, 8221, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 512, 815, 4894, 6025, 267, 642, 267, 3178, 994, 1038, 1820, 512, 314, 272, 2639, 1038, 2638, 18425, 19702, 1218, 6025, 267, 3178, 994, 1038, 7682, 1205, 6025, 267, 642, 267, 3178, 264, 568, 7183, 454, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 19523, 454, 258, 1142, 1007, 3758, 786, 581, 538, 513, 1007, 1592, 3330, 6119, 8675, 267, 1883, 547, 519, 8675, 568, 519, 32197, 543, 1871, 568, 519, 1297, 540, 26941, 540, 519, 3758, 1459, 454, 325, 3796, 28121, 8679, 8145, 3437, 293, 3796, 28121, 8679, 12252, 21920, 284, 274, 454, 9492, 323, 28121, 262, 322, 4135, 9166, 262, 22056, 12887, 23437, 9166, 262, 1372, 8541, 12887, 337, 333, 332, 9166, 262, 1066, 877, 262, 10926, 3698, 2626, 263, 12252, 2187, 825, 2962, 284, 9492, 323, 314, 12252, 11468, 12252, 21920, 27663, 825, 952, 2962, 2525, 262, 22056, 12466, 1038, 3758, 11243, 284, 12252, 314, 12252, 21920, 266, 272, 281, 2639, 1038, 952, 3758, 11243, 538, 6119, 912, 27030, 2018, 1948, 1101, 10862, 4422, 547, 6119, 602, 616, 6569, 267, 952, 972, 616, 971, 6119, 1287, 1346, 786, 581, 4904, 1101, 692, 2018, 952, 3758, 11243, 538, 6569, 293, 3796, 912, 3546, 14469, 284, 8145, 3437, 293, 3796, 314, 12803, 11243, 4940, 16647, 4590, 3546, 952, 6569, 293, 3796, 314, 12803, 11243, 316, 2525, 314, 14158, 7386, 1642, 6569, 293, 3796, 314, 12803, 11243, 2639, 3546, 952, 14469, 2525, 271, 912, 7386, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 994, 3546, 3116, 912, 7386, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 11924, 10807, 5073, 27030, 2018, 3116, 912, 3546, 14469, 284, 325, 3796, 314, 12803, 11243, 2639, 3546, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 266, 272, 11924, 10807, 5073, 3546, 6119, 314, 12803, 11243, 316, 23785, 272, 692, 1038, 3116, 912, 2018, 6119, 314, 12803, 11243, 24557, 271, 454, 2018, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 9239, 825, 8640, 2962, 2525, 262, 1372, 8541, 12466, 1038, 3758, 11243, 284, 12252, 314, 12252, 21920, 266, 272, 281, 2639, 1038, 952, 3758, 11243, 15631, 272, 281, 316, 2525, 10807, 12466, 2018, 1948, 621, 1797, 649, 616, 2838, 547, 18419, 606, 14469, 540, 519, 3758, 454, 2018, 14469, 25507, 31526, 11243, 15631, 274, 281, 6012, 272, 281, 273, 7481, 2018, 3758, 11243, 306, 753, 3725, 9679, 284, 12803, 11243, 11468, 268, 274, 2639, 2018, 952, 3758, 11243, 306, 753, 3725, 9679, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 6572, 263, 516, 9679, 2020, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 338, 677, 263, 516, 2091, 18989, 264, 1948, 713, 1900, 3217, 562, 331, 1758, 942, 543, 8754, 666, 581, 7199, 454, 4449, 454, 2018, 3977, 815, 18011, 268, 1412, 266, 1598, 31526, 11243, 11723, 1038, 3116, 912, 2018, 952, 3758, 11243, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 4940, 6572, 263, 271, 2020, 2018, 3977, 815, 18011, 268, 1412, 266, 1598, 31526, 11243, 4917, 672, 7531, 825, 8640, 2962, 2525, 262, 1066, 877, 12466, 1038, 4971, 284, 12252, 21858, 4590, 1038, 3077, 17572, 11243, 284, 12252, 314, 272, 2639, 1038, 26948, 17572, 11243, 284, 12252, 314, 273, 2639, 1038, 952, 3077, 17572, 11243, 15631, 272, 281, 316, 2525, 10807, 12466, 2018, 1948, 3843, 547, 4894, 513, 14469, 540, 519, 3758, 454, 2018, 14469, 25507, 6025, 13759, 17572, 11243, 15631, 274, 281, 6012, 272, 281, 273, 7481, 2018, 3758, 11243, 306, 753, 3725, 9679, 284, 339, 13759, 17572, 11243, 11468, 268, 274, 2639, 2018, 952, 3758, 11243, 306, 753, 3725, 9679, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 6572, 263, 516, 9679, 2020, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 338, 677, 263, 516, 2091, 18989, 2020, 1038, 3116, 912, 2018, 952, 3077, 17572, 11243, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 339, 13759, 17572, 11243, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 339, 13759, 17572, 11243, 4940, 6572, 263, 271, 2020, 1038, 1948, 32280, 936, 267, 1631, 5137, 15646, 5446, 692, 1038, 952, 26948, 17572, 11243, 538, 6119, 912, 2018, 1948, 1934, 649, 991, 547, 3406, 585, 519, 2547, 1871, 538, 519, 1592, 540, 6119, 692, 2018, 952, 26948, 17572, 11243, 538, 6569, 293, 3796, 912, 3546, 14469, 284, 8145, 3437, 293, 3796, 314, 1066, 3139, 17572, 11243, 4940, 16647, 4590, 3546, 952, 6569, 293, 3796, 314, 1066, 3139, 17572, 11243, 316, 2525, 314, 14158, 7386, 1642, 6569, 293, 3796, 314, 1066, 3139, 17572, 11243, 2639, 3546, 952, 14469, 2525, 271, 912, 7386, 26948, 17572, 20479, 284, 1066, 3139, 17572, 11243, 454, 3546, 3116, 912, 7386, 26948, 17572, 20479, 284, 1066, 3139, 17572, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 11924, 10807, 7055, 27030, 2018, 3116, 912, 3546, 14469, 284, 325, 3796, 314, 1066, 3139, 17572, 11243, 2639, 3546, 26948, 17572, 20479, 815, 630, 1066, 3139, 17572, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 266, 272, 11924, 10807, 5073, 3546, 6119, 314, 1066, 3139, 17572, 11243, 316, 23785, 272, 692, 1038, 3116, 912, 2018, 6119, 314, 1066, 3139, 17572, 11243, 24557, 271, 454, 2018, 26948, 17572, 20479, 815, 630, 1066, 3139, 17572, 11243, 2020, 1038, 3977, 815, 18011, 337, 1412, 266, 1598, 6025, 13759, 17572, 11243, 11924, 262, 9847, 1412, 266, 1598, 263, 1066, 3139, 17572, 20479, 11723, 825, 1820, 3488, 325, 3796, 955, 285, 1412, 266, 1598, 6600, 3796, 4917, 825, 1820, 3488, 8145, 3437, 293, 3796, 9339, 15010, 1412, 266, 1598, 263, 8145, 3437, 293, 3796, 11723, 825, 2132, 3977, 692, 336, 815, 703, 9272, 14061, 29328, 15405, 258, 6713, 1142, 4971, 454, 1721, 513, 271, 538, 2039, 32429, 2187, 825, 1948, 3367, 519, 1101, 5569, 3954, 7627, 519, 4971, 1826, 454, 825, 4971, 815, 3403, 14061, 29328, 4590, 825, 1948, 3503, 3606, 3009, 547, 1224, 519, 4971, 781, 3758, 2012, 4433, 264, 543, 1184, 519, 4971, 454, 825, 1948, 7179, 519, 3977, 5569, 3617, 547, 519, 4971, 454, 825, 1820, 263, 24987, 263, 12252, 4917, 0, 5814, 14854, 454, 5228, 28184, 5793, 1104, 5048, 7901, 267, 5187, 539, 658, 690, 267, 570, 330, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 6885, 815, 570, 330, 4590, 825, 6885, 269, 5976, 9526, 10797, 825, 14512, 284, 13678, 9482, 658, 690, 269, 2532, 11415, 6025, 1856, 8782, 289, 9500, 1485, 3299, 5401, 8782, 2691, 568, 707, 14512, 286, 5073, 825, 952, 14512, 2652, 1412, 19688, 476, 275, 12466, 1038, 5048, 7901, 20481, 16769, 6025, 1856, 8782, 31917, 17510, 1485, 3299, 5048, 8782, 31917, 17510, 1485, 256, 5073, 825, 3116, 912, 1038, 5048, 7901, 20481, 16769, 6025, 1856, 8782, 31917, 1133, 19689, 1485, 3299, 5048, 8782, 31917, 1133, 19689, 1485, 256, 10807, 0, 5814, 942, 1477, 258, 302, 3403, 3348, 13453, 1583, 905, 17010, 3351, 714, 18372, 533, 15193, 552, 562, 14244, 2205, 326, 3121, 23228, 3698, 1187, 318, 842, 549, 28399, 1820, 9497, 30469, 5451, 642, 32115, 1608, 4788, 522, 694, 340, 594, 10157, 257, 10142, 3698, 1187, 318, 5632, 322, 28399, 5621, 3120, 815, 10581, 9272, 3488, 14707, 924, 647, 320, 16816, 3120, 281, 1412, 17903, 26240, 334, 815, 10581, 9272, 3488, 14707, 924, 694, 340, 623, 525, 334, 281, 1412, 17903, 1267, 5964, 815, 26240, 334, 1315, 630, 5306, 3120, 265, 5306, 3120, 264, 21506, 1820, 3488, 5353, 340, 708, 322, 281, 22207, 1267, 5964, 3418, 952, 1267, 5964, 283, 1626, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 3400, 340, 8633, 262, 10142, 952, 1267, 5964, 13843, 476, 1626, 543, 1267, 5964, 10922, 476, 1626, 269, 4200, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 1178, 340, 4083, 20298, 21506, 952, 1267, 5964, 13843, 476, 1704, 543, 1267, 5964, 10922, 476, 1240, 269, 5392, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 1178, 340, 594, 262, 10142, 952, 1267, 5964, 13843, 476, 1240, 269, 276, 543, 1267, 5964, 10922, 476, 2190, 269, 4200, 6769, 476, 1820, 3488, 303, 525, 334, 26758, 262, 10142, 952, 1267, 5964, 13843, 476, 1839, 543, 1267, 5964, 10922, 476, 3066, 269, 4200, 6769, 476, 1820, 3488, 303, 525, 334, 26758, 262, 10142, 952, 1267, 5964, 13843, 476, 1789, 543, 1267, 5964, 10922, 476, 4097, 269, 4200, 6769, 476, 1820, 3488, 11917, 525, 573, 1228, 3400, 340, 594, 20298, 21506, 952, 1267, 5964, 13843, 476, 3374, 543, 1267, 5964, 10922, 476, 4375, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2705, 621, 1223, 581, 2182, 547, 798, 3054, 538, 930, 1808, 7653, 602, 786, 581, 513, 6161, 585, 606, 4950, 9498, 269, 0, 258, 589, 2040, 540, 25828, 2338, 692, 4131, 3230, 293, 5332, 2330, 581, 519, 25828, 2338, 269, 594, 1131, 899, 547, 6961, 713, 2731, 30255, 3961, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 3799, 266, 272, 8203, 273, 21702, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 12453, 346, 273, 333, 266, 273, 315, 577, 5366, 476, 272, 2410, 273, 333, 266, 273, 1422, 577, 5366, 476, 273, 2410, 273, 333, 1422, 577, 5366, 562, 3686, 284, 293, 3709, 330, 4153, 32002, 272, 2330, 799, 29776, 547, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 12453, 346, 273, 333, 1422, 577, 5366, 562, 12917, 275, 333, 266, 273, 264, 13157, 293, 3709, 330, 15732, 1692, 666, 594, 6218, 519, 1739, 18304, 547, 1397, 713, 3961, 630, 272, 264, 568, 2953, 2496, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 23533, 317, 273, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 288, 9681, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 23533, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 289, 9681, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 346, 272, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 290, 9681, 1892, 26272, 267, 875, 1705, 596, 2097, 2066, 713, 1395, 560, 4592, 640, 286, 1290, 7757, 4924, 476, 275, 267, 476, 1001, 280, 693, 476, 2420, 281, 3066, 692, 8794, 16423, 1090, 585, 891, 18304, 267, 649, 1205, 16977, 2418, 1422, 8218, 9387, 15857, 595, 1422, 13627, 476, 271, 269, 279, 2568, 11025, 267, 1422, 29911, 645, 1422, 13627, 910, 271, 269, 14138, 5392, 267, 1422, 29911, 589, 1422, 13627, 910, 271, 269, 271, 4281, 9032, 1422, 754, 9387, 15857, 3245, 972, 267, 596, 666, 2445, 14170, 540, 3230, 293, 24417, 2330, 547, 6961, 707, 3961, 269, 589, 811, 6405, 1259, 547, 17589, 3169, 7215, 568, 998, 10451, 3252, 269, 16294, 1422, 8218, 9387, 15857, 575, 3287, 264, 815, 1422, 8999, 3709, 333, 284, 271, 23685, 13727, 4153, 2765, 346, 8987, 272, 8203, 333, 7346, 16535, 558, 346, 273, 333, 2410, 333, 12917, 273, 333, 266, 272, 14587, 343, 18898, 1422, 754, 9387, 15857, 799, 596, 666, 1397, 11224, 1422, 8218, 9387, 15857, 575, 3287, 264, 815, 476, 275, 1422, 2765, 3189, 7562, 327, 13064, 272, 32710, 6912, 12757, 348, 270, 273, 264, 7346, 6912, 12757, 3287, 266, 275, 264, 3686, 1422, 754, 9387, 15857, 1403, 649, 5581, 3230, 299, 815, 1535, 1422, 2765, 18097, 2410, 11459, 6525, 607, 519, 11346, 799, 1101, 3217, 519, 12045, 530, 25331, 6745, 3230, 343, 18079, 1287, 12750, 625, 676, 3230, 343, 18079, 649, 1205, 602, 1422, 8218, 9387, 15857, 595, 815, 630, 299, 317, 271, 575, 7565, 272, 1070, 1422, 29911, 645, 815, 630, 299, 317, 272, 575, 7565, 272, 1070, 1422, 29911, 589, 815, 630, 299, 317, 273, 575, 7565, 272, 264, 1422, 754, 9387, 15857, 610, 1422, 8218, 9387, 15857, 595, 815, 476, 275, 1422, 2765, 3189, 7562, 327, 13064, 272, 12917, 272, 270, 273, 264, 7346, 6912, 346, 276, 3686, 267, 1422, 29911, 645, 815, 1422, 2765, 346, 273, 2410, 276, 348, 910, 1422, 2765, 346, 1321, 1422, 7562, 327, 13064, 272, 12917, 272, 270, 273, 20972, 276, 25490, 346, 276, 3686, 267, 1422, 29911, 589, 815, 1422, 2765, 346, 275, 2410, 10219, 12917, 278, 25490, 346, 276, 4153, 7562, 327, 13064, 272, 12917, 272, 270, 273, 264, 910, 476, 1015, 264, 1422, 754, 9387, 265, 10926, 1892, 21220, 13135, 2626, 256, 1215, 1705, 596, 2097, 909, 609, 519, 10451, 3252, 543, 519, 7222, 6806, 1106, 3070, 286, 2052, 596, 15974, 1022, 4199, 585, 713, 286, 1290, 7757, 4924, 476, 275, 267, 476, 1001, 280, 693, 476, 2537, 281, 2412, 454, 1892, 7711, 16031, 2791, 13043, 281, 1403, 596, 2328, 4399, 16535, 558, 346, 273, 333, 2410, 333, 18098, 16535, 558, 346, 273, 333, 2410, 273, 333, 5991, 20954, 1287, 519, 10451, 1599, 1269, 326, 3287, 7751, 568, 519, 28708, 540, 14170, 1269, 320, 5332, 281, 7807, 16535, 558, 346, 273, 333, 2410, 333, 8703, 268, 272, 4151, 543, 1269, 321, 5332, 281, 14352, 273, 333, 266, 272, 264, 13064, 272, 20954, 799, 568, 6697, 547, 519, 1587, 540, 741, 1367, 10451, 3252, 269, 1290, 7757, 4924, 476, 276, 267, 476, 1001, 280, 693, 476, 272, 281, 1704, 454, 1892, 19743, 7711, 16031, 2791, 13043, 267, 5981, 781, 1505, 568, 5310, 519, 1655, 1259, 547, 3605, 519, 10451, 1599, 269, 6884, 267, 596, 666, 1256, 5431, 519, 14170, 547, 581, 2147, 547, 4540, 13177, 20073, 687, 269, 769, 713, 2013, 267, 519, 1269, 320, 5332, 536, 5332, 259, 15217, 814, 2147, 1106, 547, 519, 14170, 538, 519, 13177, 3126, 7269, 540, 4399, 7562, 327, 13064, 272, 12917, 343, 30879, 3245, 972, 267, 596, 666, 4019, 6101, 1379, 3126, 4238, 547, 2119, 543, 543, 6474, 519, 14170, 269, 634, 3044, 4704, 568, 10451, 10818, 1108, 676, 12070, 325, 269, 26304, 781, 2037, 10179, 894, 10395, 13541, 923, 849, 814, 606, 5140, 6881, 593, 10451, 3252, 1315, 6101, 1379, 3126, 269, 1290, 7757, 4924, 476, 276, 267, 476, 1001, 280, 693, 476, 272, 281, 4391, 692, 2690, 519, 7453, 3483, 540, 519, 2243, 267, 649, 798, 711, 991, 3230, 288, 32390, 267, 290, 18079, 855, 930, 5276, 10659, 540, 873, 267, 602, 723, 834, 324, 6470, 2418, 2668, 901, 2626, 4422, 5631, 538, 713, 4287, 780, 5575, 540, 782, 1577, 721, 2328, 519, 2953, 1106, 540, 519, 6935, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 11196, 272, 8203, 333, 3799, 266, 272, 8203, 273, 1422, 2765, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 3686, 2715, 346, 273, 333, 266, 273, 315, 577, 5366, 476, 272, 2410, 273, 333, 266, 273, 1422, 577, 5366, 476, 273, 2410, 273, 333, 1422, 577, 5366, 562, 3686, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 272, 264, 1422, 1547, 2330, 634, 16866, 4528, 540, 621, 568, 3976, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 11196, 272, 8203, 333, 1422, 2765, 2715, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 3686, 2715, 346, 273, 333, 1422, 577, 5366, 562, 4153, 10383, 476, 273, 263, 273, 333, 266, 272, 14587, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 273, 264, 1422, 1547, 2330, 901, 1058, 3180, 585, 782, 3230, 330, 21974, 1924, 1577, 721, 20586, 538, 519, 14009, 540, 30967, 273, 14638, 606, 4082, 5473, 1152, 1079, 25828, 2338, 267, 1250, 3903, 1373, 3230, 293, 17624, 2330, 543, 3230, 293, 3709, 330, 266, 272, 6525, 269, 1284, 8237, 585, 713, 3230, 276, 333, 317, 273, 815, 630, 276, 333, 317, 273, 268, 272, 264, 10954, 10233, 346, 19990, 348, 272, 2330, 543, 1106, 3976, 689, 6695, 10233, 346, 19990, 2410, 272, 4153, 10383, 674, 17624, 266, 293, 3709, 330, 268, 272, 6525, 835, 3230, 293, 3709, 330, 266, 272, 6525, 780, 763, 824, 25828, 2338, 666, 519, 581, 3362, 31085, 2854, 538, 2474, 540, 3230, 293, 17624, 2330, 543, 3230, 293, 3709, 330, 266, 272, 6525, 630, 6748, 1507, 25828, 2338, 607, 11664, 324, 1070, 552, 3052, 269, 3230, 293, 3709, 330, 266, 274, 13157, 273, 293, 3709, 330, 266, 272, 15396, 293, 17624, 18079, 865, 649, 723, 547, 1397, 281, 6695, 8999, 3709, 333, 315, 613, 271, 348, 11196, 272, 8203, 333, 1422, 2765, 2715, 263, 276, 333, 317, 273, 266, 275, 333, 266, 272, 264, 293, 17624, 1341, 630, 276, 333, 266, 274, 264, 293, 3709, 330, 266, 272, 3686, 2715, 346, 273, 333, 1422, 577, 5366, 562, 4153, 10383, 273, 263, 273, 333, 266, 272, 14587, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 274, 264, 1422, 1547, 2330, 1284, 723, 3976, 547, 1397, 602, 519, 14170, 540, 3230, 293, 17624, 267, 293, 3709, 330, 266, 272, 6525, 13939, 689, 519, 4082, 538, 519, 700, 13034, 2529, 269, 616, 3230, 271, 267, 273, 18079, 607, 538, 519, 681, 13034, 2529, 780, 2171, 4625, 2057, 5409, 613, 6248, 18304, 585, 713, 267, 865, 1577, 721, 6368, 1376, 519, 2626, 780, 2171, 946, 519, 711, 725, 3230, 320, 5332, 284, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 4153, 2073, 315, 29911, 536, 5332, 284, 1422, 2765, 562, 3189, 16535, 558, 346, 273, 333, 348, 333, 4153, 2073, 2330, 543, 12337, 3274, 1422, 8218, 25410, 348, 513, 5332, 266, 320, 3709, 333, 266, 272, 348, 17851, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 348, 1422, 3847, 314, 272, 10954, 2765, 476, 272, 3189, 1422, 2765, 18950, 273, 333, 266, 272, 7565, 273, 333, 266, 273, 20972, 333, 266, 272, 7565, 333, 266, 272, 264, 4153, 476, 4153, 2431, 316, 815, 1422, 2765, 2715, 276, 333, 266, 274, 7346, 16535, 558, 346, 273, 333, 348, 333, 1422, 10383, 273, 263, 273, 333, 266, 272, 14587, 1422, 2073, 8607, 536, 5332, 17070, 3709, 333, 266, 272, 348, 17851, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 348, 1422, 3847, 19559, 10954, 2765, 2715, 333, 266, 272, 7346, 1422, 2765, 18950, 273, 333, 266, 272, 7565, 273, 333, 266, 273, 20972, 333, 266, 272, 7565, 333, 266, 272, 264, 4153, 476, 4153, 2431, 316, 815, 1422, 2765, 2715, 276, 333, 317, 273, 266, 275, 333, 266, 272, 7346, 16535, 558, 346, 273, 333, 348, 333, 1422, 10383, 273, 263, 273, 333, 266, 272, 14587, 1422, 2073, 1422, 754, 25410, 348, 543, 1100, 519, 1101, 6935, 2907, 30877, 519, 16263, 585, 519, 11664, 540, 3230, 293, 3709, 330, 266, 272, 6525, 267, 585, 2110, 713, 568, 6695, 8999, 3709, 333, 315, 613, 476, 271, 348, 8987, 272, 8203, 333, 5416, 5332, 266, 320, 3709, 333, 266, 272, 16585, 815, 513, 318, 271, 284, 272, 21974, 1284, 1138, 25630, 569, 946, 519, 2034, 6935, 547, 1294, 602, 519, 11664, 540, 3230, 293, 17624, 2330, 568, 3230, 321, 318, 271, 284, 271, 21974, 667, 821, 780, 11377, 338, 13645, 9681, 2252, 519, 2243, 1202, 1235, 547, 723, 519, 2418, 585, 3230, 288, 32390, 267, 290, 18079, 1287, 1577, 721, 930, 3515, 269, 898, 568, 2614, 547, 1205, 519, 1871, 540, 3230, 288, 29634, 338, 720, 1939, 525, 585, 621, 519, 3169, 1871, 543, 519, 19406, 1384, 338, 720, 281, 15254, 3488, 333, 10807, 3248, 338, 720, 281, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 1315, 630, 273, 265, 333, 266, 272, 1070, 562, 267, 476, 271, 267, 522, 334, 12467, 275, 270, 276, 265, 6912, 263, 276, 12684, 8421, 263, 272, 270, 273, 265, 6912, 263, 276, 264, 1341, 476, 272, 270, 273, 2020, 338, 720, 281, 590, 815, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 16875, 2073, 562, 267, 476, 271, 267, 522, 334, 15426, 333, 4590, 338, 720, 281, 595, 815, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 1315, 630, 273, 265, 333, 266, 272, 1070, 562, 267, 476, 271, 267, 522, 334, 15426, 333, 10797, 338, 720, 281, 590, 454, 271, 269, 277, 2767, 279, 3607, 275, 2537, 277, 1691, 274, 4200, 454, 338, 720, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18741, 578, 30476, 13242, 676, 8752, 10089, 2125, 281, 476, 278, 17778, 692, 10059, 2517, 4178, 9884, 23943, 2593, 270, 24280, 11860, 559, 578, 30476, 268, 5825, 539, 8386, 6441, 697, 5174, 592, 2125, 454, 13971, 476, 2641, 267, 476, 1001, 280, 1109, 6440, 1215, 547, 12433, 18741, 578, 30476, 13242, 676, 8752, 10089, 2125, 269, 17451, 4898, 875, 1454, 602, 1769, 15941, 568, 28428, 596, 286, 3267, 6480, 1493, 519, 1297, 3108, 519, 15941, 568, 593, 829, 3923, 269, 3267, 1403, 711, 267, 946, 713, 7447, 281, 513, 476, 2568, 26910, 1651, 663, 27853, 15941, 267, 476, 1428, 26910, 595, 14566, 267, 610, 476, 1015, 2560, 12041, 281, 15825, 16065, 692, 2162, 1215, 1454, 1281, 621, 1942, 547, 2196, 513, 476, 1911, 26910, 15941, 910, 12226, 692, 2252, 596, 2196, 513, 476, 1911, 26910, 15941, 585, 476, 1015, 3108, 596, 1131, 476, 272, 4893, 578, 3430, 5662, 630, 330, 2662, 1040, 634, 1942, 540, 5201, 9775, 676, 4087, 2356, 269, 17719, 1256, 814, 513, 23510, 4336, 1759, 593, 519, 6165, 543, 4422, 689, 8096, 269, 5400, 547, 27250, 2162, 1215, 1454, 1281, 621, 1942, 585, 513, 476, 1911, 310, 15941, 547, 2196, 585, 476, 2190, 3108, 27250, 10059, 2517, 4178, 269, 638, 7702, 2593, 270, 1692, 2173, 1276, 1673, 3996, 32717, 21057, 16519, 8584, 268, 1911, 310, 1532, 592, 321, 3562, 24507, 16519, 268, 2190, 3620, 2293, 16519, 268, 1839, 1673, 904, 454, 15037, 476, 4905, 267, 476, 1708, 271, 1109, 6440, 32114, 513, 1483, 476, 1911, 654, 899, 606, 1651, 663, 27853, 476, 13301, 271, 26334, 3108, 829, 1554, 815, 476, 273, 267, 275, 737, 2662, 829, 1554, 476, 273, 269, 275, 737, 2662, 829, 1554, 1535, 476, 1839, 2395, 815, 476, 2568, 737, 2662, 952, 596, 5201, 568, 476, 1015, 21347, 829, 737, 2662, 693, 519, 1970, 1439, 621, 786, 1942, 8096, 277, 1403, 707, 5201, 568, 476, 736, 1298, 829, 737, 2662, 1287, 8096, 1321, 1403, 596, 561, 13718, 2162, 8835, 2593, 281, 476, 1911, 26910, 15620, 692, 10059, 2517, 4178, 269, 600, 7571, 2593, 270, 1911, 2914, 3430, 1532, 592, 2125, 4882, 286, 330, 284, 1911, 266, 342, 3430, 266, 12712, 2125, 454, 288, 866, 29778, 539, 5549, 663, 27853, 681, 965, 6796, 8752, 10089, 321, 267, 476, 1911, 654, 3430, 267, 476, 17734, 271, 298, 9941, 6519, 267, 661, 2918, 23839, 12476, 267, 476, 9083, 271, 700, 636, 839, 267, 476, 9873, 309, 630, 277, 13268, 264, 476, 275, 269, 272, 856, 540, 476, 276, 6801, 476, 6434, 8096, 1015, 269, 4200, 8096, 476, 1015, 1547, 476, 4200, 630, 15478, 272, 269, 10695, 20324, 592, 321, 2020, 2162, 1215, 1454, 1281, 621, 1942, 547, 946, 513, 476, 1911, 26910, 15941, 585, 476, 272, 5662, 27250, 2005, 1131, 1491, 476, 1015, 3108, 585, 513, 476, 1911, 26910, 15941, 547, 946, 513, 4893, 578, 3430, 540, 5201, 269, 4475, 267, 594, 993, 1631, 17548, 519, 6654, 1107, 2201, 513, 3044, 13545, 858, 596, 1131, 2628, 827, 476, 1626, 533, 775, 585, 476, 1015, 3108, 946, 540, 513, 476, 1911, 26910, 15941, 267, 610, 476, 272, 269, 277, 533, 775, 829, 5662, 269, 2107, 609, 519, 14949, 2228, 3928, 596, 1131, 2628, 1472, 476, 1556, 269, 2412, 533, 775, 585, 476, 1015, 3108, 267, 610, 476, 272, 269, 31239, 533, 775, 829, 5662, 692, 2162, 476, 1911, 654, 3430, 5549, 663, 27853, 8752, 10089, 2125, 476, 1911, 271, 31624, 2125, 2593, 692, 10059, 2517, 4178, 269, 1911, 271, 12712, 2125, 2593, 11305, 14394, 270, 1911, 2914, 3430, 268, 20598, 6879, 1901, 2000, 697, 1532, 592, 2125, 454, 303, 21332, 476, 1911, 2914, 3430, 1651, 663, 27853, 15620, 1247, 596, 666, 256, 9208, 8032, 476, 1911, 2914, 3430, 15620, 616, 538, 6006, 543, 4712, 547, 6133, 693, 476, 1911, 271, 31624, 2125, 2593, 780, 2162, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 2560, 692, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 670, 5495, 11965, 15955, 5549, 663, 27853, 8752, 10089, 2125, 15955, 7043, 5020, 589, 1744, 9464, 10089, 2125, 15955, 589, 866, 8752, 10089, 2125, 15955, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 670, 5495, 11965, 1547, 7982, 547, 5903, 269, 8096, 273, 269, 4200, 3267, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 590, 16810, 6938, 700, 9281, 292, 700, 20846, 645, 8085, 289, 476, 1911, 654, 2969, 307, 5442, 290, 13263, 2464, 290, 7728, 1547, 12313, 966, 2456, 11065, 8681, 281, 10089, 4011, 4821, 692, 2162, 4639, 532, 5264, 31786, 476, 271, 4510, 1911, 271, 267, 476, 1911, 654, 3430, 267, 476, 6344, 5292, 339, 27250, 10059, 2517, 4178, 269, 600, 7571, 2593, 270, 310, 20535, 5264, 268, 271, 4510, 1911, 271, 268, 18823, 663, 27853, 6441, 697, 5174, 592, 321, 268, 1220, 271, 7933, 335, 20324, 1822, 271, 289, 312, 29669, 271, 454, 12914, 476, 4029, 267, 476, 1001, 279, 1109, 6440, 4639, 532, 5264, 31786, 476, 271, 4510, 1911, 271, 267, 476, 1911, 654, 3430, 267, 476, 6344, 5292, 339, 5549, 663, 27853, 19836, 4343, 8752, 10089, 321, 268, 1220, 271, 25980, 267, 476, 272, 13268, 267, 4414, 910, 5549, 663, 27853, 10089, 2125, 910, 8835, 2593, 274, 269, 278, 270, 276, 263, 4366, 2020, 2162, 476, 1015, 13268, 476, 1911, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1911, 271, 700, 636, 839, 476, 1220, 271, 27250, 10059, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 1015, 6261, 871, 268, 1911, 8862, 3430, 268, 18823, 663, 27853, 6441, 697, 5174, 592, 321, 268, 1911, 271, 6441, 636, 839, 268, 1220, 271, 21509, 6953, 2293, 268, 25413, 268, 19669, 268, 270, 18357, 271, 5325, 4792, 277, 12293, 454, 1911, 654, 3430, 476, 4037, 654, 3430, 476, 2568, 654, 3430, 476, 2412, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1220, 271, 5020, 25980, 476, 279, 13268, 269, 8096, 1724, 269, 4200, 269, 5131, 11288, 1547, 476, 1321, 6261, 298, 476, 1911, 654, 3430, 476, 6344, 268, 9873, 309, 21832, 595, 4041, 2752, 5549, 663, 27853, 589, 866, 700, 20846, 645, 8085, 7034, 2405, 12476, 476, 1911, 288, 269, 8096, 3066, 269, 4200, 269, 3267, 19672, 827, 476, 1015, 13268, 476, 1911, 654, 3430, 5549, 663, 27853, 2560, 306, 11839, 28951, 281, 476, 1911, 269, 271, 260, 2318, 692, 2162, 476, 1911, 26910, 1769, 15620, 552, 29074, 692, 10059, 2517, 4178, 4318, 321, 599, 2593, 4882, 577, 270, 328, 11258, 286, 318, 333, 29220, 284, 1911, 260, 736, 342, 3430, 260, 736, 2775, 260, 736, 12712, 2125, 454, 1556, 1587, 16863, 910, 10896, 4303, 2775, 667, 9404, 762, 8752, 10089, 321, 476, 1428, 8862, 3430, 476, 1911, 654, 3430, 4982, 20884, 476, 4335, 271, 330, 1627, 31159, 476, 275, 7665, 29411, 269, 8096, 1015, 269, 4200, 269, 16179, 898, 3767, 269, 5131, 1744, 6235, 269, 476, 272, 267, 25248, 22307, 269, 13772, 269, 3267, 476, 1911, 654, 3430, 476, 4037, 654, 3430, 476, 2568, 654, 3430, 476, 2412, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1220, 271, 5020, 25980, 476, 279, 13268, 269, 15952, 1715, 269, 8096, 1724, 269, 4200, 269, 16179, 898, 3767, 269, 5131, 1744, 6235, 269, 476, 277, 5845, 2354, 476, 1911, 654, 3430, 8752, 10089, 2125, 29778, 681, 965, 6796, 700, 10102, 27250, 2162, 1215, 1454, 1648, 1281, 513, 476, 1911, 26910, 1769, 15941, 946, 538, 476, 272, 5662, 27250, 14257, 476, 3066, 267, 476, 1001, 272, 1109, 6440, 1215, 1454, 1648, 1281, 513, 476, 1911, 26910, 1769, 15941, 946, 538, 476, 272, 5662, 286, 18124, 707, 2626, 538, 795, 537, 956, 543, 538, 4893, 578, 3430, 3620, 2293, 269, 4746, 1265, 875, 1454, 2724, 621, 3790, 952, 5201, 23619, 585, 476, 1015, 21347, 829, 737, 310, 3620, 780, 2162, 589, 476, 1911, 8862, 1769, 15941, 568, 2451, 593, 585, 476, 1015, 269, 271, 3108, 269, 3683, 713, 27250, 12914, 476, 2420, 267, 476, 1001, 272, 1109, 6440, 589, 476, 1911, 8862, 1769, 15941, 568, 2451, 593, 585, 476, 1015, 269, 271, 3108, 269, 3683, 713, 1974, 540, 942, 267, 875, 1454, 1648, 729, 1031, 676, 519, 15941, 286, 1648, 729, 1031, 676, 519, 15941, 286, 8382, 16440, 269, 476, 273, 12226, 269, 25684, 269, 546, 784, 12921, 773, 544, 9492, 601, 523, 764, 343, 269, 476, 279, 1296, 3516, 269, 674, 2948, 924, 8382, 269, 3267, 513, 476, 1911, 26910, 15941, 3096, 476, 1911, 795, 537, 956, 829, 2034, 267, 865, 9062, 676, 875, 1082, 7643, 616, 538, 4557, 3108, 1862, 810, 1018, 286, 476, 11740, 876, 808, 6148, 692, 2162, 1215, 1082, 561, 636, 839, 568, 513, 476, 1911, 26910, 10896, 15941, 286, 12226, 7804, 633, 692, 2414, 5372, 513, 476, 1911, 2914, 3430, 1651, 663, 27853, 15941, 267, 1413, 585, 513, 15941, 602, 3947, 596, 827, 476, 8182, 271, 561, 636, 839, 269, 1403, 596, 1616, 1945, 3897, 1067, 267, 979, 585, 1447, 561, 636, 839, 282, 952, 596, 4782, 17321, 1769, 267, 1413, 585, 811, 561, 636, 839, 269, 29799, 513, 476, 4037, 310, 15941, 609, 606, 10896, 15941, 602, 3947, 596, 827, 476, 8099, 271, 561, 636, 839, 269, 3267, 1403, 596, 946, 707, 8279, 585, 476, 1015, 3108, 513, 1554, 267, 713, 1058, 581, 476, 1724, 269, 278, 586, 3464, 269, 275, 269, 274, 270, 276, 263, 274, 2020, 2162, 23817, 476, 1911, 654, 3430, 9978, 8752, 10089, 321, 476, 275, 13268, 23817, 3267, 910, 9546, 27926, 2593, 692, 10059, 2517, 4178, 9884, 531, 27926, 2593, 270, 760, 270, 12283, 268, 1911, 8862, 3430, 5174, 553, 545, 6441, 697, 5174, 592, 321, 268, 275, 6261, 871, 8566, 292, 268, 25148, 4097, 268, 14378, 271, 2000, 18210, 5025, 866, 270, 5611, 13893, 279, 1321, 454, 1607, 476, 275, 1790, 871, 540, 23817, 476, 1911, 654, 3430, 8752, 10089, 2125, 267, 1948, 25148, 4097, 267, 568, 606, 4998, 6099, 8654, 3070, 585, 4948, 946, 538, 2713, 11623, 267, 18226, 11623, 267, 5127, 7741, 543, 824, 2127, 2429, 707, 1753, 269, 1358, 1142, 723, 606, 3977, 540, 476, 272, 267, 278, 1015, 561, 636, 839, 609, 909, 547, 476, 16020, 3108, 540, 1272, 269, 1452, 2596, 589, 866, 23817, 1769, 12712, 2125, 616, 513, 3044, 3337, 609, 17684, 2987, 8142, 532, 593, 519, 3490, 269, 274, 269, 278, 270, 276, 263, 1015, 2020, 2162, 589, 476, 1911, 26910, 3167, 15941, 568, 1769, 539, 585, 476, 273, 3108, 3232, 543, 27250, 10059, 2517, 28090, 569, 23357, 270, 23896, 270, 14056, 4817, 272, 280, 454, 13356, 476, 4962, 267, 476, 1001, 278, 1109, 6440, 589, 476, 1911, 26910, 3167, 15941, 568, 1769, 539, 585, 476, 273, 3108, 3232, 543, 2185, 476, 2412, 26910, 15620, 616, 1769, 539, 585, 476, 275, 3108, 4948, 5861, 531, 1529, 622, 519, 1648, 10057, 17347, 3369, 264, 514, 476, 1789, 2395, 2496, 2162, 5164, 2320, 697, 476, 1911, 654, 3430, 4982, 20884, 10896, 8752, 10089, 321, 267, 476, 20981, 271, 298, 27250, 10059, 2517, 4178, 9884, 531, 27926, 2593, 270, 760, 270, 309, 597, 2320, 697, 268, 1911, 8862, 3430, 7232, 638, 20884, 6441, 3633, 6441, 697, 5174, 592, 321, 268, 20981, 271, 298, 28233, 2775, 5336, 539, 1756, 4149, 920, 342, 5174, 848, 7232, 2918, 6261, 871, 6361, 268, 275, 270, 278, 1321, 27151, 6507, 274, 454, 19878, 476, 1789, 267, 476, 1001, 280, 1109, 6440, 5164, 2320, 697, 781, 3366, 1769, 15620, 476, 1911, 26910, 6697, 616, 20483, 676, 513, 476, 274, 268, 17413, 17290, 654, 1551, 656, 344, 282, 10896, 8752, 10089, 321, 589, 866, 910, 4303, 2775, 476, 20981, 271, 330, 5164, 2320, 697, 781, 476, 1911, 26910, 3366, 1769, 15941, 2488, 476, 9610, 271, 561, 636, 839, 540, 1769, 5612, 609, 1100, 7996, 942, 547, 3636, 909, 269, 1452, 3366, 8279, 585, 1753, 616, 1390, 5079, 585, 8602, 7741, 267, 18109, 11655, 267, 10051, 267, 25810, 269, 274, 269, 277, 270, 276, 263, 278, 2020, 1012, 9612, 532, 585, 476, 1911, 654, 3430, 10089, 321, 476, 1015, 25980, 2496, 2791, 666, 1175, 4945, 519, 6402, 1657, 269, 634, 9623, 568, 6394, 585, 596, 269, 0, 18404, 600, 987, 19577, 25817, 2999, 19881, 1741, 8921, 3436, 14033, 2421, 5376, 916, 19257, 5558, 1109, 3436, 476, 1109, 12709, 1109 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1249, 602, 930, 949, 581, 1210, 513, 2147, 726, 1195, 609, 12098, 534, 4231, 269, 808, 18804, 593, 519, 6512, 342, 6782, 543, 5009, 1945, 267, 799, 593, 519, 2627, 5654, 1134, 9837, 539, 543, 17154, 267, 855, 602, 568, 849, 1945, 602, 949, 581, 2921, 707, 3007, 2476, 689, 824, 3527, 789, 616, 2921, 602, 1810, 1406, 3337, 909, 865, 1134, 585, 1004, 543, 519, 4541, 563, 7883, 547, 7168, 1454, 1022, 3728, 1426, 5832, 1631, 543, 596, 3580, 1265, 513, 17154, 4781, 267, 9811, 713, 949, 1134, 581, 513, 2318, 1900, 855, 621, 3085, 1406, 1491, 2476, 689, 519, 6967, 5318, 10624, 540, 5779, 2472, 610, 519, 1249, 602, 891, 4025, 3136, 547, 1930, 811, 4559, 1472, 519, 1158, 269, 4004, 21899, 513, 17154, 4781, 950, 519, 1870, 949, 711, 581, 3168, 24323, 693, 1018, 3116, 621, 666, 2709, 610, 824, 2081, 621, 666, 1689, 547, 948, 16102, 519, 4541, 855, 17033, 607, 513, 6725, 726, 1195, 538, 1931, 547, 2333, 12434, 543, 11097, 523, 519, 7535, 540, 1004, 621, 949, 9029, 547, 666, 581, 22801, 543, 13587, 1516, 563, 12648, 22413, 4689, 1091, 585, 3236, 267, 930, 9193, 2303, 789, 946, 936, 476, 272, 5479, 6550, 540, 14132, 513, 1032, 538, 519, 2475, 4805, 1107, 1281, 10962, 513, 17154, 4781, 593, 707, 10624, 22771, 585, 782, 1346, 5434, 2507, 649, 1810, 1406, 1589, 865, 269, 4858, 2738, 991, 547, 581, 6236, 741, 1764, 543, 27510, 8101, 2318, 1689, 267, 711, 17259, 593, 3466, 547, 6133, 811, 2472, 563, 8256, 28366, 723, 513, 9157, 2614, 942, 540, 621, 607, 621, 568, 267, 3843, 547, 2995, 799, 12478, 616, 543, 5749, 1406, 1373, 12001, 1510, 621, 1373, 9788, 593, 5394, 950, 621, 2501, 547, 1426, 607, 1134, 563, 1432, 649, 917, 568, 602, 1247, 930, 12478, 543, 4213, 949, 3136, 547, 798, 713, 267, 930, 786, 2141, 11441, 547, 581, 1732, 269, 2368, 616, 8149, 547, 1373, 9237, 543, 1930, 543, 9247, 1818, 621, 4443, 585, 721, 267, 519, 7082, 267, 547, 1118, 11461, 3664, 827, 1018, 649, 1616, 547, 4444, 563, 288, 1870, 3056, 519, 1259, 538, 4881, 741, 13539, 899, 713, 568, 744, 520, 569, 267, 789, 7948, 1406, 581, 811, 12001, 952, 789, 6836, 269, 7046, 569, 17548, 875, 789, 2196, 741, 13539, 543, 1946, 267, 1018, 789, 616, 3257, 547, 2087, 267, 7713, 519, 3527, 789, 1491, 630, 9767, 3314, 519, 15784, 1472, 519, 4563, 7723, 5092, 267, 649, 5206, 827, 621, 1934, 264, 543, 1256, 18071, 519, 3327, 11640, 540, 741, 2472, 593, 519, 11183, 543, 10912, 585, 713, 547, 1831, 3044, 585, 782, 269, 1284, 1589, 713, 568, 7168, 12473, 543, 649, 1589, 621, 786, 581, 12478, 899, 713, 602, 4473, 909, 538, 519, 2104, 563, 10673, 1406, 2887, 6408, 547, 12478, 602, 946, 12098, 534, 4231, 607, 1175, 1776, 6725, 726, 1195, 547, 5968, 519, 7301, 5048, 602, 789, 616, 3257, 1434, 950, 2965, 789, 616, 4929, 811, 2800, 269, 3776, 5796, 286, 1684, 707, 1382, 267, 2007, 2620, 883, 1022, 6811, 1373, 1500, 676, 3549, 610, 1022, 5013, 602, 596, 1589, 1810, 1406, 3833, 1039, 909, 269, 0, 2467, 616, 513, 2603, 540, 12738, 267, 543, 1686, 4448, 609, 519, 5412, 3752, 560, 823, 563, 2690, 5215, 540, 1296, 267, 713, 1974, 540, 519, 1032, 729, 9976, 538, 1585, 2081, 267, 2066, 513, 2603, 540, 1114, 10764, 543, 4529, 267, 543, 1256, 19951, 621, 1869, 6818, 563, 2171, 949, 1745, 602, 9059, 538, 519, 2011, 610, 849, 5469, 621, 538, 1004, 1472, 721, 267, 610, 1256, 5873, 621, 538, 930, 1114, 2575, 269, 4438, 713, 1974, 267, 930, 2178, 4664, 543, 4606, 616, 849, 859, 12097, 538, 1169, 835, 540, 721, 267, 543, 789, 949, 2132, 585, 930, 942, 563, 2005, 786, 581, 942, 547, 1265, 8788, 543, 7772, 543, 547, 8661, 269, 4746, 267, 1282, 713, 1974, 267, 1004, 666, 8415, 782, 540, 519, 7060, 602, 519, 6129, 814, 547, 3035, 741, 9909, 543, 1246, 741, 16858, 269, 1358, 1058, 1769, 2933, 909, 543, 1294, 713, 1158, 1769, 539, 909, 1932, 563, 7212, 519, 1079, 7215, 666, 581, 7357, 1114, 267, 1169, 835, 540, 873, 786, 948, 538, 8236, 519, 1482, 3804, 563, 763, 15604, 3752, 560, 823, 568, 782, 827, 26621, 519, 1249, 602, 1256, 1498, 649, 666, 1294, 519, 13074, 1554, 267, 14334, 568, 2469, 547, 2097, 2899, 1586, 267, 543, 1256, 1498, 649, 666, 1294, 519, 13074, 3781, 1932, 267, 1769, 568, 849, 2469, 547, 2097, 2899, 1586, 563, 10214, 1498, 649, 1995, 546, 7081, 267, 1169, 2582, 3364, 786, 581, 519, 1482, 269, 8752, 3112, 581, 9228, 1510, 1101, 6544, 1516, 14334, 267, 543, 4832, 3112, 581, 6956, 2394, 649, 6956, 543, 4718, 519, 5162, 269, 1452, 1079, 2035, 991, 1142, 824, 547, 723, 2631, 543, 581, 1483, 269, 1703, 568, 1175, 835, 1483, 1533, 267, 543, 3388, 3116, 568, 2192, 16272, 269, 1924, 267, 649, 616, 1175, 835, 267, 519, 1769, 543, 519, 4158, 616, 849, 835, 267, 543, 649, 616, 4986, 610, 849, 3388, 782, 8195, 563, 7628, 519, 1151, 560, 823, 538, 519, 5162, 4005, 267, 1004, 616, 1419, 18056, 602, 7488, 540, 519, 14334, 540, 519, 3781, 267, 519, 1769, 568, 2141, 2469, 547, 2097, 1394, 269, 4746, 267, 28000, 540, 519, 1554, 779, 1769, 267, 519, 14334, 568, 2141, 2469, 547, 2097, 1394, 563, 2171, 616, 2713, 538, 519, 1158, 538, 799, 649, 949, 581, 6126, 585, 835, 4090, 543, 519, 1985, 835, 267, 649, 786, 581, 8909, 269, 1924, 267, 538, 1175, 835, 3236, 267, 938, 1272, 949, 1689, 4625, 269, 769, 1152, 835, 4090, 267, 649, 666, 3068, 2669, 610, 1928, 267, 610, 849, 12257, 610, 4332, 563, 2171, 616, 2713, 538, 713, 1158, 538, 799, 1169, 12094, 6818, 267, 519, 1164, 543, 519, 1970, 267, 519, 11802, 543, 519, 6560, 1932, 563, 10214, 1498, 789, 949, 1413, 899, 513, 1114, 1533, 540, 1373, 267, 789, 666, 581, 851, 540, 4376, 811, 1713, 267, 971, 607, 627, 565, 8864, 269, 1284, 2097, 547, 519, 1480, 1533, 547, 1995, 1169, 12094, 267, 2681, 267, 543, 4082, 540, 519, 3929, 22774, 1932, 563, 9827, 267, 649, 2097, 547, 7985, 267, 1265, 7772, 267, 8853, 610, 1265, 1928, 267, 607, 1134, 607, 1995, 782, 602, 607, 649, 917, 602, 621, 786, 1118, 721, 2898, 563, 2171, 1058, 849, 8956, 1169, 4783, 267, 543, 3314, 602, 621, 568, 711, 3388, 538, 875, 1419, 649, 14679, 538, 14334, 610, 1256, 538, 519, 1769, 267, 855, 621, 568, 538, 875, 649, 11863, 891, 2829, 547, 1847, 721, 267, 1689, 721, 267, 607, 1134, 607, 21352, 721, 610, 32570, 721, 547, 627, 565, 8864, 267, 2648, 799, 29084, 1472, 563, 3086, 267, 596, 666, 1246, 721, 593, 5442, 4306, 8980, 305, 4456, 2336, 15862, 15894, 281, 1744, 13616, 18450, 630, 997, 10234, 676, 22126, 301, 8358, 3528, 962, 584, 26619, 0, 288, 1259, 547, 19665, 2244, 1858, 269, 589, 7226, 1826, 666, 1489, 1978, 6172, 1314, 10664, 267, 1312, 3529, 543, 896, 29115, 2249, 269, 26335, 17511, 666, 5815, 519, 6211, 1761, 540, 513, 3135, 269, 630, 674, 306, 4658, 781, 3794, 27443, 540, 19889, 27002, 31198, 16301, 994, 263, 272, 4700, 20309, 540, 519, 6211, 1761, 540, 606, 1858, 269, 630, 273, 4700, 11814, 633, 2165, 585, 1346, 2168, 2127, 630, 523, 4921, 264, 602, 1489, 610, 666, 1489, 519, 1482, 2030, 7681, 267, 610, 1705, 1489, 621, 1991, 547, 922, 9552, 610, 14842, 676, 3595, 267, 6360, 267, 21737, 267, 19883, 267, 610, 8623, 12515, 267, 3092, 269, 630, 274, 4700, 589, 3454, 21978, 1770, 543, 513, 11837, 1770, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29612, 338, 723, 1044, 1472, 585, 811, 982, 476, 2004, 1296, 267, 543, 538, 602, 942, 789, 723, 1044, 6534, 547, 513, 547, 930, 4110, 26742, 19631, 543, 19944, 6681, 6454, 18846, 269, 634, 1974, 1282, 799, 519, 5137, 543, 6454, 540, 27178, 7620, 7018, 729, 513, 1974, 540, 2941, 1190, 543, 16434, 10069, 3278, 543, 5122, 1379, 267, 543, 1164, 5122, 7607, 729, 513, 26815, 13061, 851, 540, 1648, 946, 269, 13575, 267, 8654, 814, 1044, 16397, 676, 519, 16434, 543, 2241, 547, 1711, 13085, 15941, 269, 1325, 18464, 1360, 3653, 995, 543, 7904, 7566, 267, 519, 538, 10339, 839, 4369, 543, 6631, 2329, 540, 30437, 15620, 5916, 609, 519, 1287, 8766, 13258, 540, 1648, 1500, 873, 3617, 585, 741, 942, 12732, 269, 27178, 2808, 5393, 22376, 1375, 880, 2490, 540, 2621, 543, 11144, 547, 581, 606, 6364, 267, 543, 941, 931, 11220, 547, 5634, 3156, 267, 585, 1383, 267, 24072, 8654, 593, 6191, 610, 17927, 1297, 1835, 684, 7129, 563, 3528, 519, 476, 3192, 271, 779, 20866, 267, 519, 1648, 6429, 3323, 606, 3929, 6521, 799, 4718, 11999, 20073, 687, 538, 519, 13258, 540, 19386, 681, 1581, 10896, 18224, 12051, 543, 513, 12805, 7269, 538, 519, 13258, 547, 5838, 5122, 1379, 269, 769, 5393, 2110, 7662, 267, 519, 4644, 540, 1648, 15334, 543, 4027, 3323, 547, 1831, 519, 8789, 17122, 1448, 267, 543, 8030, 540, 30788, 6417, 19269, 3323, 513, 6521, 2509, 6454, 540, 3688, 799, 1223, 946, 1648, 782, 519, 811, 1587, 1947, 269, 901, 729, 24215, 2312, 538, 519, 3684, 267, 9023, 267, 543, 2413, 7011, 1782, 6990, 607, 15670, 3323, 7432, 856, 3688, 799, 15469, 741, 9120, 15334, 936, 811, 19023, 4566, 607, 513, 9513, 1448, 563, 3080, 3148, 1141, 1648, 11327, 7344, 13120, 1793, 17977, 19037, 729, 519, 8654, 1870, 269, 1325, 18464, 811, 11327, 24638, 8279, 3323, 547, 10841, 754, 547, 17736, 545, 6681, 1145, 1282, 519, 476, 3192, 271, 779, 267, 741, 9642, 1544, 543, 3152, 13258, 11658, 741, 1455, 2631, 267, 609, 519, 6574, 2127, 540, 3483, 1373, 3330, 519, 1870, 543, 2413, 1870, 9922, 269, 1635, 519, 476, 2735, 271, 779, 267, 15069, 8654, 15334, 729, 9991, 513, 1279, 2081, 3297, 1034, 1114, 2010, 540, 5122, 10124, 267, 543, 930, 4990, 540, 811, 8903, 8654, 5647, 729, 2838, 269, 898, 568, 607, 540, 1631, 602, 13120, 540, 519, 667, 17311, 3323, 2899, 811, 20068, 1947, 267, 538, 19220, 540, 519, 1249, 602, 1282, 519, 942, 540, 519, 476, 3422, 271, 779, 998, 4571, 476, 2735, 271, 779, 3220, 1508, 13120, 4718, 513, 1906, 2565, 3986, 906, 267, 1034, 856, 1056, 5944, 538, 519, 4390, 547, 5838, 3043, 1769, 1267, 27178, 543, 1732, 10859, 28068, 2326, 609, 799, 547, 3132, 27178, 563, 3528, 519, 4571, 547, 3735, 476, 1960, 271, 779, 27178, 941, 6679, 909, 799, 1223, 6445, 606, 25819, 540, 2489, 21481, 3156, 2731, 269, 2290, 540, 519, 3156, 1141, 27178, 3323, 547, 2743, 609, 9058, 9740, 729, 538, 10935, 8654, 269, 2060, 741, 5393, 1164, 15334, 543, 3579, 2534, 267, 27178, 941, 513, 8984, 3514, 585, 946, 8704, 16996, 1141, 1379, 568, 11658, 543, 5329, 909, 609, 2922, 6007, 1379, 6585, 2596, 269, 27178, 6035, 519, 4390, 547, 2285, 1769, 1247, 5969, 12725, 2139, 1648, 946, 676, 909, 547, 476, 5780, 10065, 1703, 941, 513, 1906, 2152, 581, 602, 607, 621, 949, 267, 519, 1034, 2565, 540, 799, 3769, 25031, 1769, 2298, 543, 16048, 10661, 269, 769, 19220, 540, 519, 1249, 602, 27178, 538, 519, 476, 1960, 271, 779, 941, 4867, 811, 11141, 543, 4712, 547, 1711, 3043, 554, 4240, 1769, 267, 519, 1769, 1131, 538, 2489, 581, 10169, 3579, 676, 782, 6589, 267, 543, 2094, 27178, 2154, 3169, 6453, 2157, 547, 960, 14013, 267, 10935, 619, 2877, 547, 4990, 856, 930, 1259, 547, 6338, 519, 16048, 8800, 547, 1832, 909, 609, 2922, 6453, 2157, 563, 3528, 476, 1220, 276, 513, 1804, 6712, 540, 519, 2152, 609, 27178, 1185, 1044, 9619, 620, 2431, 547, 11863, 667, 17311, 10935, 8279, 547, 856, 704, 845, 30437, 15620, 676, 7168, 1454, 1169, 8167, 540, 11056, 269, 8752, 2298, 729, 4867, 24534, 543, 27178, 8118, 909, 538, 3579, 3043, 267, 3636, 3043, 543, 3339, 3043, 3099, 5210, 13974, 607, 24638, 8279, 269, 3220, 1508, 10935, 1769, 12696, 3323, 6220, 5249, 538, 6453, 9013, 8800, 799, 15868, 667, 17311, 19698, 547, 581, 2196, 689, 606, 25819, 540, 3196, 2959, 1519, 1312, 3339, 476, 1321, 543, 476, 2190, 18699, 10850, 609, 18374, 1100, 4145, 540, 561, 3591, 3660, 28696, 610, 26389, 31362, 519, 8279, 269, 962, 1752, 1379, 585, 27178, 729, 909, 1932, 267, 609, 27178, 1631, 4712, 547, 6445, 18374, 1022, 2816, 8704, 513, 10935, 581, 621, 561, 17690, 8654, 610, 3544, 30425, 3156, 609, 6909, 23812, 563, 15430, 1836, 538, 476, 1001, 273, 267, 649, 616, 7487, 27178, 1373, 15422, 607, 3044, 10591, 585, 930, 1007, 10935, 3631, 269, 901, 3350, 689, 3448, 3668, 540, 9355, 547, 7432, 883, 519, 3339, 12880, 1826, 540, 10935, 8654, 666, 581, 4553, 607, 513, 4341, 547, 519, 2810, 9276, 540, 1648, 543, 519, 10421, 585, 15334, 267, 543, 519, 18374, 4998, 3514, 27178, 2709, 609, 1743, 14823, 3156, 269, 27178, 666, 3142, 1524, 519, 5122, 1379, 8246, 676, 8654, 676, 909, 547, 476, 3199, 9077, 799, 593, 513, 10935, 568, 513, 18374, 17134, 5896, 6454, 269, 7316, 10935, 619, 2899, 2877, 547, 8167, 519, 13345, 540, 12725, 2139, 8654, 547, 2149, 6007, 17990, 543, 3180, 4492, 13345, 1524, 267, 789, 666, 1631, 2196, 8279, 585, 3376, 2989, 5712, 609, 18374, 1100, 3665, 1379, 8756, 563, 29612, 338, 2709, 10935, 619, 3773, 2640, 1932, 799, 616, 3551, 569, 4448, 609, 519, 9058, 6381, 8654, 10591, 593, 16996, 3068, 538, 513, 7286, 2916, 269, 19837, 25630, 547, 32689, 15620, 267, 27178, 723, 1100, 6775, 610, 4837, 15941, 538, 741, 1544, 267, 4758, 873, 18569, 1465, 513, 1279, 2081, 2250, 602, 540, 1022, 22232, 1769, 269, 634, 2597, 344, 21513, 543, 556, 13757, 1117, 7506, 16996, 616, 4749, 6534, 547, 896, 18473, 4262, 2175, 666, 3801, 547, 9247, 3142, 1524, 519, 2104, 540, 513, 1455, 13085, 15941, 267, 4749, 8744, 827, 3330, 543, 856, 1769, 14922, 906, 607, 10347, 11103, 2736, 896, 519, 2597, 344, 2604, 269, 4595, 27178, 616, 2178, 1533, 538, 1544, 267, 2495, 789, 1413, 899, 513, 19202, 811, 982, 789, 798, 513, 1769, 267, 789, 616, 27723, 4824, 4712, 547, 22036, 28915, 13015, 609, 18374, 1100, 11495, 8801, 4539, 563, 1103, 19220, 540, 519, 1249, 602, 27178, 616, 1256, 811, 14427, 547, 4444, 982, 30437, 15620, 267, 789, 723, 513, 2104, 2484, 20546, 532, 602, 540, 741, 4837, 543, 6775, 4891, 269, 2755, 606, 8723, 13085, 15941, 1522, 2063, 476, 272, 267, 1822, 547, 476, 1220, 271, 3108, 267, 513, 667, 17311, 666, 17216, 960, 585, 476, 1839, 267, 1822, 547, 476, 2004, 267, 1822, 3108, 782, 1919, 2808, 269, 901, 1360, 17890, 6198, 1272, 10522, 513, 667, 17311, 786, 1832, 2469, 585, 607, 1279, 607, 476, 1015, 1296, 593, 513, 10935, 693, 2053, 1354, 621, 2115, 5486, 13589, 269, 634, 26837, 4192, 6364, 1934, 568, 602, 23344, 513, 667, 17311, 1522, 1942, 782, 519, 811, 693, 1101, 267, 621, 786, 2628, 585, 3294, 609, 1360, 17890, 1272, 543, 2484, 1447, 1769, 2655, 4801, 563, 1103, 19220, 540, 519, 1249, 602, 621, 2838, 513, 1360, 1279, 942, 585, 667, 17311, 6454, 547, 22992, 1376, 11319, 4464, 1310, 741, 5817, 5137, 267, 3773, 20949, 689, 9750, 1648, 3790, 543, 513, 22510, 6881, 11282, 609, 7286, 3156, 19443, 609, 12081, 1746, 1719, 538, 741, 13345, 269, 1879, 20291, 609, 1743, 14823, 24284, 267, 27178, 6542, 4010, 519, 1259, 602, 14323, 543, 862, 976, 1619, 741, 13345, 666, 581, 267, 543, 1397, 585, 1978, 4010, 519, 1259, 538, 799, 21295, 789, 616, 540, 6038, 5486, 13589, 519, 30758, 547, 581, 22573, 13085, 1769, 269, 0, 7072, 540, 3057, 1076, 543, 21081, 924, 454, 5278, 821, 11112, 4058, 519, 9703, 540, 741, 1753, 267, 1577, 803, 2995, 596, 1382, 568, 1360, 2629, 267, 2523, 950, 6236, 519, 3017, 1063, 25342, 543, 18899, 563, 3080, 540, 519, 2352, 5079, 519, 5411, 723, 568, 7446, 1063, 3057, 1076, 543, 21081, 924, 563, 13828, 3057, 1076, 543, 21081, 924, 267, 1419, 5219, 547, 607, 25342, 18899, 267, 616, 2067, 2326, 543, 616, 1419, 19451, 585, 1142, 824, 563, 2467, 666, 581, 27290, 7648, 538, 7990, 543, 4806, 563, 1103, 1312, 2665, 267, 513, 4159, 3732, 596, 1294, 538, 3613, 648, 949, 711, 581, 606, 4977, 6041, 540, 707, 4890, 6718, 563, 4131, 779, 1205, 593, 547, 1865, 811, 827, 3057, 1076, 543, 21081, 924, 563, 1432, 1772, 3057, 1076, 1656, 1215, 1772, 898, 17214, 888, 8139, 519, 18899, 543, 25342, 3017, 6238, 609, 519, 9238, 563, 763, 2262, 968, 11321, 1076, 892, 568, 6508, 689, 519, 9147, 5259, 544, 5451, 337, 3405, 657, 267, 799, 1797, 968, 322, 31051, 710, 4224, 267, 26124, 6149, 1848, 3057, 1076, 568, 513, 30704, 23009, 545, 4224, 269, 898, 5161, 540, 513, 2527, 540, 954, 24286, 9274, 540, 18287, 924, 610, 519, 7777, 12373, 558, 924, 563, 11321, 1076, 568, 1500, 607, 513, 1267, 540, 14680, 602, 568, 1641, 547, 3665, 3002, 543, 2604, 563, 1607, 4999, 540, 3002, 543, 2604, 973, 31051, 3278, 519, 18287, 924, 538, 14680, 543, 666, 849, 1860, 519, 9403, 543, 7990, 540, 18899, 563, 2750, 1700, 29069, 10067, 531, 538, 3127, 568, 3710, 540, 25120, 337, 3570, 513, 3043, 18899, 602, 2242, 27280, 609, 519, 5086, 540, 519, 1769, 269, 634, 3114, 5888, 540, 18899, 281, 898, 3117, 1235, 6140, 540, 25289, 19941, 630, 25519, 10870, 274, 264, 609, 5634, 5666, 540, 8125, 3821, 267, 13101, 19941, 267, 8125, 3821, 267, 11635, 12547, 267, 1325, 6058, 1756, 12547, 267, 3092, 563, 1432, 1772, 21081, 924, 1656, 1215, 1772, 898, 17214, 888, 2691, 3695, 519, 25342, 543, 18899, 3017, 267, 621, 779, 1898, 547, 1376, 609, 741, 8129, 563, 763, 2262, 968, 294, 3757, 924, 892, 7902, 585, 519, 1101, 942, 538, 519, 1568, 540, 519, 2296, 7762, 534, 1235, 267, 10629, 267, 543, 14544, 6970, 525, 531, 11017, 639, 538, 519, 476, 1626, 628, 2540, 563, 294, 3757, 924, 568, 513, 2182, 5337, 15667, 6149, 543, 568, 519, 1034, 1455, 703, 28424, 4224, 538, 3047, 779, 18626, 12933, 563, 2005, 568, 5432, 607, 513, 2138, 339, 1194, 11909, 267, 3043, 267, 15454, 267, 543, 3109, 25798, 6149, 269, 898, 568, 21432, 547, 5420, 3766, 11712, 563, 294, 3757, 924, 568, 1500, 936, 6634, 540, 1296, 676, 15027, 2534, 269, 7395, 2742, 8928, 689, 15027, 2534, 543, 7444, 3579, 338, 936, 6634, 540, 1296, 563, 7628, 519, 1184, 267, 29351, 10905, 609, 1585, 6886, 267, 1519, 18057, 4565, 29868, 267, 21688, 1091, 1706, 267, 544, 3821, 267, 543, 21247, 267, 547, 1711, 922, 968, 322, 15009, 531, 5920, 2108, 563, 763, 3114, 5888, 540, 25342, 281, 898, 5161, 540, 519, 6886, 21247, 543, 21688, 1091, 1706, 267, 634, 1034, 1455, 1569, 800, 6886, 616, 519, 3109, 544, 3821, 1979, 582, 924, 543, 519, 3109, 19917, 1961, 18057, 4565, 29868, 563, 3086, 950, 596, 917, 519, 2596, 3017, 1063, 18899, 5288, 25342, 267, 1519, 741, 5250, 543, 5888, 563, 2467, 616, 1896, 2188, 602, 596, 1590, 2015, 1644, 547, 5654, 543, 2168, 2609, 540, 1312, 269, 1924, 2913, 779, 1205, 811, 1808, 827, 9236, 519, 1114, 10305, 540, 18899, 543, 25342, 563, 8196, 995, 9137, 585, 1411, 454, 268, 1548, 1772, 1290, 22683, 8381, 454, 268, 1548, 1772, 519, 16338, 9737, 513, 1744, 1077, 7754, 543, 513, 1744, 1077, 12476, 888, 268, 1548, 1772, 681, 10762, 454, 268, 1548, 1772, 513, 32001, 19937, 454, 268, 1548, 1772, 1234, 8663, 17214, 2986, 454, 268, 1548, 1772, 595, 8735, 454, 268, 1548, 1772, 513, 31108, 12856, 454, 268, 1548, 1772, 519, 20970, 585, 513, 10348, 12025, 16170, 454, 268, 1548, 1772, 3117, 30872, 700, 22133, 6611, 454, 268, 1548, 1772, 2290, 10158, 1411, 2052, 16440, 24542, 888, 268, 1548, 1772, 631, 4206, 6399, 454, 268, 1548, 1772, 513, 25143, 548, 540, 1744, 24943, 454, 268, 1548, 1772, 513, 11829, 517, 540, 4826, 1284, 662, 454, 268, 1548, 1772, 32001, 590, 1662, 454, 268, 1548, 1772, 513, 590, 10079, 5811, 454, 268, 1548, 1772, 519, 9741, 4563, 27339, 593, 513, 570, 1901, 12763, 454, 268, 1548, 1772, 519, 16338, 9737, 513, 12157, 339, 543, 513, 21115, 342, 888, 268, 1548, 1772, 3683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22760, 566, 540, 519, 4737, 1297, 609, 519, 6241, 1297, 269, 1280, 1383, 269, 519, 2338, 540, 519, 3791, 4737, 630, 476, 1556, 3738, 543, 519, 2034, 6241, 630, 4905, 1070, 950, 6677, 22760, 730, 267, 2285, 519, 9352, 1297, 476, 8099, 272, 267, 519, 9352, 6697, 540, 8918, 476, 1724, 269, 4935, 267, 519, 4009, 538, 519, 3791, 4737, 543, 2034, 6241, 4564, 1295, 1181, 544, 1724, 780, 1892, 1520, 329, 8809, 10945, 616, 3989, 547, 581, 10945, 1985, 547, 1142, 824, 269, 634, 10945, 593, 519, 1283, 6241, 5905, 519, 10945, 538, 519, 5377, 6241, 269, 769, 1840, 267, 10945, 538, 519, 2451, 2865, 6241, 5905, 10945, 538, 519, 1318, 2865, 6241, 780, 304, 269, 22217, 1518, 519, 29491, 1599, 2016, 676, 674, 26028, 21726, 11971, 267, 345, 264, 815, 3980, 495, 263, 271, 267, 272, 267, 273, 267, 275, 267, 276, 267, 277, 267, 279, 267, 280, 267, 1321, 267, 1724, 267, 1691, 2020, 1892, 634, 1295, 614, 916, 3254, 538, 519, 2040, 616, 6825, 607, 476, 272, 538, 519, 918, 5336, 777, 543, 649, 723, 476, 1556, 10945, 609, 476, 272, 780, 1892, 28758, 476, 272, 543, 476, 273, 616, 8630, 5523, 547, 1711, 513, 2582, 4756, 586, 262, 780, 1892, 28758, 476, 275, 814, 1614, 4009, 609, 476, 272, 781, 855, 891, 3112, 581, 5916, 607, 789, 616, 538, 1379, 540, 476, 273, 780, 1892, 1284, 1223, 1631, 9192, 873, 607, 1079, 13551, 540, 476, 273, 10945, 1142, 610, 1079, 10945, 540, 2450, 630, 273, 265, 273, 1040, 4595, 649, 1616, 513, 6922, 2213, 2165, 649, 3442, 547, 9192, 1079, 10945, 540, 2450, 630, 273, 265, 273, 6393, 1892, 901, 3947, 721, 530, 262, 345, 262, 543, 1535, 345, 262, 780, 1892, 15937, 3830, 281, 674, 815, 586, 262, 1341, 530, 262, 345, 262, 1341, 1535, 345, 28847, 304, 269, 22217, 1518, 519, 4082, 674, 815, 589, 262, 289, 262, 290, 262, 1341, 645, 262, 7374, 262, 1341, 589, 262, 6195, 291, 262, 1341, 9474, 262, 290, 28847, 1892, 589, 262, 289, 262, 290, 262, 568, 6719, 538, 10945, 476, 1822, 271, 543, 476, 1822, 272, 780, 1892, 645, 262, 7374, 262, 568, 2016, 676, 10945, 476, 9826, 271, 543, 476, 6200, 271, 692, 1892, 589, 262, 6195, 291, 262, 568, 2016, 676, 4009, 476, 18733, 271, 692, 1892, 9474, 262, 290, 262, 568, 2016, 676, 10945, 476, 1911, 271, 543, 476, 1911, 272, 692, 1892, 1280, 5187, 2305, 649, 9192, 1295, 614, 916, 544, 271, 544, 272, 267, 544, 279, 267, 544, 280, 269, 547, 1205, 2165, 645, 262, 290, 262, 543, 649, 849, 9192, 10945, 544, 815, 476, 271, 267, 476, 273, 267, 476, 279, 267, 476, 1015, 547, 1205, 2165, 645, 262, 291, 8339, 7053, 649, 9192, 10945, 544, 815, 476, 273, 267, 277, 547, 1205, 2165, 589, 262, 7374, 262, 780, 1892, 4475, 267, 674, 815, 645, 262, 291, 262, 1341, 645, 262, 595, 262, 1341, 589, 262, 290, 667, 28847, 28269, 1955, 2364, 1218, 692, 1892, 589, 6305, 708, 2364, 656, 568, 513, 1587, 2165, 5833, 676, 635, 30692, 321, 1456, 519, 5021, 2009, 1297, 540, 11105, 10945, 538, 519, 4786, 269, 1403, 513, 1295, 3410, 538, 513, 4009, 568, 4988, 676, 1152, 835, 6305, 708, 2364, 656, 602, 6305, 708, 2364, 656, 568, 1767, 547, 581, 1898, 780, 1892, 901, 1797, 602, 513, 2582, 476, 272, 593, 513, 4786, 4564, 513, 6305, 708, 2364, 656, 952, 621, 568, 711, 11105, 547, 1022, 824, 476, 272, 781, 269, 5565, 11105, 476, 272, 781, 1106, 513, 6305, 708, 2364, 656, 3177, 602, 789, 616, 711, 1369, 513, 1895, 540, 2185, 11105, 10945, 269, 9050, 11105, 476, 272, 781, 1106, 513, 6305, 708, 30692, 2364, 656, 952, 789, 616, 711, 1369, 513, 1895, 540, 5216, 11105, 10945, 543, 865, 593, 780, 1892, 634, 1898, 6305, 708, 2364, 1218, 616, 1336, 676, 3168, 693, 1142, 4009, 6825, 609, 513, 476, 272, 543, 10992, 519, 1297, 540, 6305, 708, 2364, 1218, 602, 3382, 621, 269, 634, 6305, 708, 2364, 656, 568, 1898, 952, 621, 568, 519, 1152, 6305, 708, 2364, 656, 602, 6227, 519, 1295, 1181, 16317, 1892, 634, 5650, 585, 4466, 519, 16866, 4082, 689, 519, 4786, 3340, 602, 649, 1101, 632, 30692, 3410, 710, 782, 519, 1898, 6305, 708, 2364, 1218, 269, 634, 16866, 4082, 568, 5833, 689, 519, 2845, 30692, 673, 2040, 540, 782, 519, 1898, 6305, 708, 2364, 1218, 267, 7132, 824, 6305, 708, 2364, 1218, 602, 949, 581, 2877, 547, 3382, 1022, 6967, 1295, 614, 916, 711, 4988, 676, 519, 1898, 6305, 708, 2364, 1218, 780, 304, 269, 6333, 519, 1739, 2185, 8686, 926, 762, 29491, 1599, 281, 674, 10490, 267, 645, 267, 595, 267, 667, 264, 815, 3980, 495, 263, 476, 271, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1724, 267, 476, 1428, 2020, 1892, 4855, 856, 519, 476, 272, 781, 799, 666, 581, 4988, 1152, 896, 513, 2582, 6305, 708, 2364, 656, 269, 769, 519, 4137, 519, 476, 272, 781, 602, 30593, 713, 2783, 616, 538, 544, 815, 476, 271, 267, 476, 276, 267, 476, 279, 269, 1452, 723, 547, 3769, 538, 6305, 708, 2364, 1218, 607, 891, 616, 519, 1898, 6305, 708, 2364, 1218, 780, 1892, 634, 1898, 6305, 708, 2364, 1218, 616, 5833, 676, 9256, 1295, 614, 916, 544, 815, 476, 271, 267, 274, 267, 279, 267, 1015, 547, 1205, 519, 2165, 645, 262, 291, 262, 543, 544, 815, 476, 276, 267, 278, 267, 1724, 267, 1428, 547, 1205, 519, 2165, 30183, 692, 1892, 901, 3762, 519, 1295, 614, 916, 544, 815, 476, 280, 267, 476, 1556, 267, 476, 274, 799, 949, 581, 4988, 1210, 6305, 708, 2364, 1218, 538, 2789, 2081, 543, 649, 1205, 15273, 527, 921, 3435, 607, 780, 1892, 674, 815, 30183, 1341, 645, 262, 291, 262, 1341, 7131, 1341, 5084, 692, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 7131, 1341, 9474, 28847, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 645, 262, 595, 1341, 5084, 692, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 645, 262, 290, 1341, 9474, 28847, 24165, 291, 308, 6311, 14114, 293, 4149, 308, 5960, 16038, 6573, 299, 9281, 2975, 9569, 692, 1892, 1403, 649, 616, 2016, 513, 1599, 538, 5681, 540, 15733, 1106, 543, 649, 723, 547, 1265, 519, 6922, 1436, 538, 8605, 540, 5681, 1106, 649, 1246, 519, 5650, 1384, 1892, 4460, 782, 519, 1295, 614, 916, 607, 476, 272, 538, 519, 10945, 540, 519, 918, 5336, 777, 269, 634, 8900, 5624, 616, 6825, 607, 476, 271, 781, 780, 1892, 3973, 649, 946, 519, 5650, 540, 9256, 11105, 10945, 547, 1711, 3677, 10945, 610, 25965, 269, 1717, 649, 4927, 9192, 10945, 5627, 476, 271, 781, 543, 711, 476, 272, 781, 780, 1892, 901, 568, 519, 1152, 3017, 689, 519, 5681, 540, 15733, 5650, 780, 1892, 16792, 1546, 300, 6716, 781, 11532, 630, 2421, 2921, 519, 12242, 543, 9148, 532, 1142, 21055, 1070, 649, 3489, 519, 16866, 1599, 538, 1587, 6361, 1606, 4548, 1106, 692, 304, 269, 22217, 1518, 519, 281, 1739, 29491, 1599, 883, 630, 320, 264, 2040, 6361, 1790, 20094, 1106, 543, 630, 321, 264, 1587, 6361, 30692, 18304, 1106, 281, 674, 10490, 267, 645, 267, 595, 267, 667, 264, 815, 3980, 495, 263, 271, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 2020, 1892, 634, 476, 272, 781, 6825, 538, 519, 4137, 2099, 782, 519, 1295, 614, 916, 540, 519, 1599, 269, 634, 10945, 6825, 609, 476, 271, 781, 2099, 519, 1295, 614, 916, 711, 3769, 538, 674, 543, 4061, 20301, 519, 9148, 540, 674, 269, 26157, 519, 10945, 609, 476, 272, 781, 3947, 519, 16866, 1599, 538, 2040, 6361, 30692, 268, 335, 20094, 1106, 1384, 1892, 674, 815, 645, 262, 291, 262, 1341, 645, 262, 595, 262, 1341, 589, 262, 290, 262, 291, 692, 1892, 1403, 519, 10945, 6825, 609, 476, 271, 781, 616, 5916, 649, 3489, 519, 16866, 1264, 7757, 1599, 281, 674, 262, 815, 9474, 1341, 7131, 1341, 30183, 28847, 1892, 16792, 1546, 300, 6716, 1412, 521, 11532, 630, 2421, 2921, 519, 12242, 543, 9148, 532, 1142, 21055, 1070, 649, 3489, 519, 16866, 1599, 538, 1587, 6361, 1606, 4548, 1106, 1384, 1892, 674, 815, 630, 589, 262, 1341, 645, 262, 3738, 263, 290, 262, 1341, 667, 262, 3738, 263, 289, 1412, 1341, 667, 2020, 304, 269, 674, 3287, 11971, 267, 345, 264, 815, 3980, 493, 263, 271, 267, 273, 267, 276, 267, 278, 2020, 1892, 1306, 1614, 4632, 616, 1459, 538, 519, 1599, 649, 991, 513, 1614, 4756, 918, 5336, 777, 780, 1892, 4460, 476, 271, 781, 538, 519, 7158, 7222, 547, 519, 3193, 614, 916, 2016, 538, 519, 3830, 1775, 4318, 269, 476, 271, 267, 476, 273, 267, 476, 276, 267, 476, 278, 692, 1892, 3973, 649, 4019, 519, 6922, 1436, 7954, 547, 3489, 519, 3830, 281, 634, 3193, 614, 916, 544, 815, 476, 271, 267, 476, 273, 616, 5916, 547, 1205, 519, 2165, 630, 343, 1341, 1990, 1040, 634, 2165, 568, 6829, 538, 8605, 540, 2040, 1106, 543, 649, 1205, 1535, 950, 1535, 815, 476, 271, 267, 1535, 262, 950, 1535, 815, 476, 272, 269, 630, 516, 2091, 540, 590, 8008, 1106, 2020, 1892, 634, 3193, 614, 916, 544, 815, 476, 276, 267, 476, 278, 616, 5916, 547, 1205, 519, 2165, 630, 343, 262, 1341, 1990, 262, 6393, 1892, 4935, 649, 723, 267, 674, 815, 630, 343, 266, 345, 7565, 343, 262, 266, 345, 17210, 19881, 8921, 0, 258, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 589, 645, 595, 540, 14572, 28065, 17817, 692, 2791, 616, 10478, 827, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 267, 2221, 649, 786, 2671, 609, 596, 2376, 827, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 729, 16432, 543, 12995, 676, 938, 2319, 689, 1082, 2959, 593, 519, 4950, 269, 16593, 713, 2376, 593, 519, 1888, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 568, 3730, 547, 596, 780, 300, 1075, 561, 12782, 354, 322, 562, 12782, 503, 328, 546, 2426, 692, 1012, 589, 645, 595, 540, 14572, 28065, 17817, 692, 2304, 4082, 540, 519, 1106, 4949, 476, 11054, 1341, 536, 343, 1341, 524, 815, 476, 271, 2073, 630, 513, 9881, 510, 476, 271, 3738, 568, 1572, 513, 13392, 3830, 538, 519, 4756, 1535, 780, 763, 3830, 4949, 476, 11054, 1341, 536, 343, 1341, 524, 815, 476, 271, 568, 1572, 2489, 630, 528, 267, 2489, 1106, 2020, 2171, 666, 4194, 519, 13392, 3830, 630, 272, 264, 676, 26458, 610, 630, 273, 264, 676, 1210, 519, 4542, 780, 763, 1505, 585, 4466, 519, 5072, 540, 513, 13392, 3830, 568, 607, 5205, 692, 343, 815, 11196, 536, 13008, 20734, 630, 321, 476, 11054, 1107, 476, 275, 1035, 264, 3738, 1315, 476, 273, 513, 692, 3086, 649, 786, 1865, 875, 547, 4194, 519, 2042, 1031, 269, 9603, 547, 519, 2647, 2039, 540, 2042, 1031, 267, 972, 568, 1100, 2582, 3070, 602, 1568, 538, 782, 2665, 269, 1717, 267, 519, 1739, 5796, 814, 8810, 5363, 780, 3721, 281, 476, 272, 3367, 519, 1966, 5402, 543, 1294, 1018, 7274, 4433, 264, 991, 547, 581, 1336, 780, 3721, 281, 476, 273, 3651, 513, 4756, 2012, 547, 519, 2450, 780, 3721, 281, 476, 274, 2119, 547, 2769, 519, 1966, 7223, 1227, 267, 543, 849, 3313, 799, 7215, 616, 3160, 543, 2328, 519, 2556, 4834, 780, 3721, 281, 476, 274, 4194, 519, 4611, 3830, 4433, 2020, 3086, 1847, 593, 547, 513, 2241, 1966, 1759, 593, 8108, 513, 13392, 3830, 543, 6061, 621, 692, 19370, 281, 634, 14009, 540, 513, 6824, 568, 835, 811, 982, 1079, 540, 519, 19362, 269, 1403, 519, 2040, 540, 519, 6824, 543, 922, 2789, 568, 476, 6812, 1315, 476, 2641, 269, 4855, 519, 6824, 780, 11405, 1384, 4131, 519, 1297, 540, 519, 6824, 581, 1535, 630, 343, 568, 606, 3693, 540, 594, 25589, 10190, 922, 14009, 568, 630, 273, 343, 1341, 476, 272, 6393, 3383, 519, 6824, 568, 1535, 1315, 630, 273, 343, 1341, 476, 272, 11723, 4517, 519, 23483, 786, 581, 630, 273, 1535, 1341, 476, 272, 264, 1315, 1535, 692, 19370, 8797, 1384, 11583, 1315, 630, 273, 1535, 338, 1341, 476, 272, 4297, 1341, 16733, 273, 1535, 1341, 476, 272, 264, 1315, 1535, 264, 815, 630, 6812, 1315, 476, 2641, 2020, 11583, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30022, 4081, 948, 454, 10673, 1405, 1577, 519, 2566, 540, 1153, 1205, 596, 1524, 256, 5620, 707, 1557, 2854, 676, 513, 3318, 5856, 1354, 519, 21120, 21128, 563, 22134, 549, 31516, 31349, 540, 24083, 1023, 1923, 32369, 7300, 454, 2467, 519, 16830, 2837, 3123, 519, 25183, 21247, 547, 3579, 2614, 602, 519, 21247, 2501, 856, 540, 922, 5277, 1533, 543, 1140, 2851, 3294, 547, 513, 6079, 12627, 540, 1164, 2298, 21247, 267, 2067, 610, 10991, 267, 602, 2636, 519, 6079, 12627, 547, 1332, 563, 763, 6662, 540, 713, 960, 729, 547, 6218, 519, 946, 540, 8652, 31516, 1505, 585, 519, 10282, 540, 1507, 543, 24267, 3623, 673, 924, 268, 272, 18410, 565, 924, 269, 634, 7506, 540, 16358, 1436, 942, 267, 16358, 1436, 2837, 267, 1114, 5214, 30177, 543, 1114, 570, 5183, 15121, 10959, 9830, 941, 11567, 269, 634, 2164, 4951, 891, 6724, 1185, 5129, 1271, 5107, 538, 9013, 9325, 2450, 540, 3623, 673, 924, 268, 272, 18410, 565, 924, 563, 22134, 549, 31516, 10282, 540, 1642, 2378, 1601, 924, 19923, 8722, 302, 273, 14848, 6693, 763, 1198, 540, 8715, 12935, 593, 519, 19916, 540, 18038, 344, 777, 520, 924, 630, 11190, 335, 264, 14848, 814, 1044, 6594, 896, 8652, 31516, 2175, 269, 589, 24888, 22743, 335, 1793, 25744, 5423, 689, 6970, 4596, 274, 543, 6970, 295, 17269, 275, 414, 24844, 273, 295, 273, 302, 729, 24704, 8652, 750, 332, 958, 538, 519, 4527, 540, 8715, 12935, 269, 634, 2472, 5833, 689, 1793, 584, 1845, 5627, 8795, 5666, 540, 8715, 12935, 941, 1336, 547, 581, 19941, 25202, 22743, 335, 676, 2473, 11920, 32250, 543, 16843, 26563, 4479, 269, 570, 4932, 4951, 602, 519, 19916, 540, 519, 2472, 729, 6766, 676, 519, 2179, 540, 8715, 12935, 3773, 547, 519, 1793, 25744, 269, 634, 2472, 5833, 689, 1793, 584, 1845, 1510, 8715, 12935, 941, 11425, 6438, 610, 30704, 14848, 267, 827, 476, 736, 547, 476, 1911, 333, 332, 538, 2450, 269, 18827, 540, 8715, 12935, 547, 519, 1793, 584, 1845, 3361, 606, 2333, 538, 519, 5223, 540, 6676, 6438, 14848, 547, 11425, 6438, 14848, 610, 30704, 14848, 269, 1879, 519, 2597, 540, 8715, 12935, 3773, 729, 3160, 547, 519, 2597, 540, 519, 1793, 25744, 267, 1152, 6676, 6438, 14848, 476, 736, 547, 476, 1220, 333, 332, 538, 2450, 941, 5833, 269, 2473, 11920, 32250, 3270, 540, 20218, 2472, 8612, 602, 519, 7077, 6738, 28729, 729, 519, 910, 30350, 540, 519, 6676, 6438, 14848, 269, 634, 2164, 676, 667, 14011, 6700, 602, 519, 8390, 540, 519, 19916, 666, 581, 11911, 547, 519, 23455, 1632, 540, 8715, 12935, 593, 519, 2627, 540, 519, 22743, 335, 22140, 32485, 519, 12627, 2208, 2059, 513, 1880, 7852, 563, 4322, 616, 10408, 2208, 2934, 602, 2049, 538, 1082, 8652, 31516, 17576, 18429, 602, 786, 1450, 596, 547, 2697, 12303, 782, 540, 519, 8652, 31516, 1920, 540, 4852, 12060, 563, 22134, 549, 31516, 31349, 540, 31626, 302, 24083, 1023, 689, 31626, 18679, 3963, 3442, 938, 6351, 888, 2026, 4166, 607, 649, 723, 6192, 707, 960, 267, 621, 786, 581, 6169, 1348, 543, 2016, 513, 9488, 11571, 585, 17096, 563, 5978, 7218, 262, 2123, 1344, 568, 6854, 14804, 267, 865, 1964, 21407, 602, 1100, 835, 786, 1265, 856, 827, 938, 9316, 563, 2171, 2328, 3388, 689, 15072, 269, 1411, 3513, 581, 2386, 547, 4309, 513, 17096, 6954, 1957, 1169, 942, 596, 1747, 606, 1931, 563, 2171, 786, 2347, 707, 1957, 593, 942, 267, 4758, 596, 2698, 4708, 540, 2247, 609, 1169, 7084, 596, 1303, 6412, 721, 609, 563, 23763, 1945, 4957, 538, 707, 1957, 286, 32369, 607, 1082, 26941, 607, 596, 1616, 2394, 596, 2811, 4625, 13854, 609, 519, 6364, 563, 2171, 2811, 2141, 1934, 547, 948, 596, 4194, 1022, 2009, 3390, 269, 18461, 1863, 547, 2285, 721, 513, 1289, 610, 2328, 513, 5048, 538, 10004, 563, 1692, 621, 1568, 454, 2791, 10505, 707, 1931, 5528, 454, 2171, 3651, 606, 3617, 4274, 454, 763, 4274, 3217, 1416, 540, 707, 4305, 454, 2171, 6494, 621, 547, 596, 2390, 12032, 454, 30182, 2298, 6060, 454, 19285, 723, 2141, 1044, 24330, 676, 519, 2656, 2490, 19925, 543, 707, 9488, 1145, 269, 31418, 1176, 519, 1034, 3318, 1557, 1603, 3028, 593, 519, 1357, 4799, 257, 7312, 6351, 543, 519, 1101, 1362, 3028, 568, 1454, 15874, 269, 3733, 1557, 14509, 865, 1134, 543, 1510, 707, 948, 594, 6415, 2386, 594, 1131, 723, 1044, 6825, 1524, 1586, 593, 8239, 543, 16105, 4799, 257, 12552, 1586, 585, 707, 5140, 960, 609, 1250, 10467, 269, 3143, 22027, 596, 2811, 3020, 4966, 693, 1018, 596, 798, 543, 1360, 3839, 4799, 257, 25802, 3318, 267, 10464, 543, 7874, 3028, 269, 8729, 585, 1603, 1079, 1271, 3594, 585, 803, 267, 594, 9327, 1405, 723, 2854, 621, 8885, 1317, 540, 519, 9395, 21120, 4799, 257, 12552, 585, 707, 18762, 3750, 267, 3007, 547, 1469, 543, 2949, 24077, 3028, 269, 8729, 547, 596, 267, 1631, 594, 993, 8746, 602, 594, 666, 10505, 1250, 2165, 1957, 593, 942, 4799, 257, 14188, 596, 585, 519, 24321, 2969, 960, 596, 723, 2944, 269, 3807, 4941, 547, 2995, 602, 594, 6415, 1360, 6126, 609, 1250, 1557, 543, 786, 1205, 1394, 609, 811, 10467, 4166, 1701, 0, 4504, 1238, 2563, 5037, 609, 5098, 3948, 454, 2304, 4367, 610, 2606, 5037, 568, 519, 1101, 5037, 538, 1022, 3818, 268, 7907, 540, 513, 1434, 5098, 3948, 281, 25644, 5037, 3211, 269, 7442, 1686, 281, 1603, 2606, 5037, 543, 5098, 585, 3594, 519, 2606, 5037, 543, 5098, 3948, 3732, 2243, 281, 547, 1018, 6708, 1705, 519, 3540, 2112, 13822, 513, 4838, 538, 269, 1230, 6984, 5037, 5850, 1557, 3919, 7028, 519, 5098, 3948, 1142, 1560, 5037, 1058, 519, 5098, 585, 606, 4367, 5037, 269, 6153, 5098, 3948, 543, 2606, 5037, 1022, 2875, 945, 9433, 547, 543, 1010, 610, 1200, 1603, 1983, 666, 4324, 689, 713, 2606, 4199, 1775, 6035, 1200, 519, 1434, 269, 19080, 6898, 2097, 2282, 519, 1439, 540, 519, 4367, 519, 5098, 3948, 949, 849, 581, 811, 982, 835, 798, 711, 1331, 606, 3003, 5037, 540, 2055, 269, 6201, 540, 606, 2606, 5037, 609, 513, 5098, 3948, 713, 5098, 602, 3622, 596, 1058, 2119, 547, 2057, 13461, 5097, 2390, 9433, 543, 9382, 799, 3948, 269, 2986, 1576, 267, 31355, 267, 6204, 961, 612, 2606, 9433, 616, 1053, 547, 2328, 2500, 31047, 543, 4351, 5098, 6898, 799, 849, 3357, 269, 589, 5098, 3948, 568, 513, 2582, 4845, 538, 519, 5037, 568, 1644, 547, 707, 5098, 543, 538, 519, 4367, 543, 1560, 9433, 563, 2080, 616, 930, 4388, 543, 1806, 547, 1246, 3483, 540, 519, 5098, 3948, 519, 5098, 3948, 5713, 607, 519, 12180, 6240, 540, 519, 1257, 543, 5526, 538, 519, 2606, 5037, 269, 634, 2034, 4305, 666, 581, 12913, 676, 513, 5402, 18705, 5098, 3948, 2119, 1210, 1079, 610, 1614, 1114, 3270, 585, 707, 2606, 5037, 543, 1294, 269, 5675, 2500, 31047, 519, 5098, 3948, 538, 2852, 1603, 267, 1082, 20485, 786, 2154, 602, 606, 2606, 5037, 1331, 513, 5098, 3948, 269, 901, 30453, 6257, 1018, 513, 5098, 3948, 568, 267, 875, 5098, 6898, 960, 538, 1310, 513, 5618, 4367, 540, 707, 693, 519, 1439, 540, 519, 1101, 5037, 563, 763, 5098, 3948, 568, 519, 4099, 610, 5094, 9433, 666, 4214, 540, 5098, 3948, 9862, 689, 4505, 554, 15071, 2852, 1603, 4099, 269, 901, 4199, 2488, 4388, 585, 2870, 513, 5098, 3948, 543, 1806, 540, 1114, 2010, 540, 5098, 6898, 10950, 693, 519, 1439, 540, 519, 1101, 5037, 540, 513, 269, 1215, 798, 1775, 2328, 513, 1434, 543, 2653, 2606, 14121, 4185, 3948, 585, 513, 2241, 5037, 1557, 563, 12648, 519, 2566, 856, 540, 1603, 513, 5098, 3948, 543, 1491, 5413, 540, 519, 3318, 5098, 2606, 5037, 1560, 5037, 1948, 272, 540, 519, 1560, 5098, 269, 634, 2606, 5037, 1434, 2606, 9433, 3622, 9585, 519, 1482, 4247, 543, 1246, 513, 1906, 2596, 3270, 519, 5098, 3948, 563, 763, 3974, 3948, 4214, 609, 1806, 5098, 3948, 568, 513, 3948, 1500, 693, 519, 1439, 540, 519, 4367, 267, 1310, 519, 4282, 1344, 593, 519, 1888, 269, 14958, 532, 513, 1434, 4367, 543, 5098, 3948, 568, 1419, 519, 23698, 851, 540, 1603, 606, 1557, 2705, 267, 621, 666, 849, 581, 519, 1034, 14785, 1995, 519, 4098, 540, 707, 1957, 568, 707, 269, 5675, 513, 1434, 2606, 5037, 543, 5098, 3948, 3217, 9639, 267, 1382, 543, 513, 18515, 547, 3136, 547, 23590, 707, 5037, 2394, 707, 3948, 543, 5885, 5220, 616, 269, 3367, 519, 1739, 2606, 9433, 2697, 519, 1808, 1966, 609, 519, 5098, 3948, 538, 1142, 5037, 4945, 593, 519, 6609, 540, 519, 1966, 563, 4504, 1238, 2563, 5037, 609, 5098, 3948, 454, 1692, 547, 2328, 513, 5098, 3948, 596, 1533, 707, 5098, 693, 519, 4098, 267, 2356, 693, 519, 1439, 540, 519, 2606, 5037, 596, 1964, 622, 707, 5098, 269, 1284, 3513, 1413, 693, 519, 2956, 540, 519, 2606, 5037, 543, 2502, 707, 5304, 1557, 4367, 281, 2328, 513, 5098, 543, 7001, 519, 5098, 3948, 563, 268, 24225, 476, 272, 815, 4367, 1299, 5098, 3948, 281, 946, 519, 1739, 2497, 547, 1711, 513, 1888, 4845, 7291, 585, 519, 3919, 540, 707, 2947, 5037, 1557, 563, 268, 1215, 519, 5098, 13352, 538, 519, 2606, 5037, 519, 5098, 3948, 568, 519, 689, 1686, 476, 1911, 693, 7013, 1007, 8423, 23137, 6280, 563, 268, 4828, 31047, 2328, 606, 4367, 602, 1888, 538, 707, 5098, 3948, 519, 4367, 814, 519, 4367, 568, 2356, 1175, 835, 5037, 563, 268, 901, 32029, 6212, 593, 875, 547, 4020, 2606, 5037, 267, 543, 1287, 875, 547, 1118, 5098, 3948, 811, 6209, 563, 4504, 549, 9433, 1299, 5098, 6898, 606, 4081, 1603, 13186, 16432, 676, 519, 4081, 1489, 4099, 1299, 519, 513, 2178, 2606, 5037, 5036, 519, 269, 1215, 547, 2328, 606, 4367, 713, 2534, 2337, 1053, 1020, 513, 2178, 5098, 3948, 585, 741, 3594, 676, 3246, 2259, 1603, 3732, 6898, 269, 20668, 540, 606, 2606, 5037, 519, 2606, 5037, 814, 1614, 1898, 2694, 281, 2796, 267, 5912, 267, 543, 5098, 2796, 281, 538, 707, 2606, 5037, 267, 596, 616, 2469, 547, 2285, 930, 269, 9701, 1291, 883, 513, 1808, 610, 1292, 1888, 267, 1634, 607, 519, 5098, 3948, 519, 5098, 3948, 1058, 581, 519, 2063, 4845, 540, 519, 4367, 5037, 519, 1826, 540, 5098, 3948, 1031, 538, 269, 0, 288, 14229, 324, 2763, 568, 513, 6727, 267, 3196, 995, 267, 29252, 16802, 540, 2011, 998, 519, 9224, 543, 5023, 563, 306, 928, 22689, 568, 3361, 676, 16698, 547, 519, 29935, 17011, 540, 519, 9224, 610, 11563, 269, 898, 666, 581, 1360, 21898, 16341, 267, 855, 568, 10355, 513, 1129, 540, 513, 3978, 1966, 563, 306, 928, 22689, 666, 581, 1813, 547, 912, 22879, 532, 4598, 547, 519, 6784, 523, 568, 519, 1655, 1259, 547, 1852, 32125, 3361, 676, 11959, 269, 1323, 6784, 523, 568, 1945, 602, 3123, 606, 13027, 5114, 563, 19522, 547, 2569, 707, 4598, 912, 1103, 930, 2665, 267, 596, 949, 991, 547, 1847, 856, 540, 513, 1753, 609, 513, 9044, 838, 648, 1966, 563, 306, 928, 22689, 602, 568, 711, 1813, 547, 606, 14711, 786, 14897, 950, 519, 4576, 602, 568, 4929, 621, 568, 23174, 610, 5701, 563, 24445, 707, 1072, 1416, 8502, 952, 32125, 568, 7133, 707, 1272, 543, 1753, 14319, 798, 711, 960, 563, 7312, 8502, 786, 1685, 513, 2168, 981, 543, 1413, 693, 707, 9224, 543, 11563, 269, 1411, 3513, 581, 4280, 827, 707, 2564, 1686, 543, 2589, 269, 5999, 949, 1331, 950, 519, 32125, 3323, 267, 2436, 596, 723, 824, 2589, 267, 610, 952, 596, 723, 11959, 563, 1103, 930, 2665, 267, 14711, 4152, 949, 581, 2877, 547, 1265, 519, 2014, 563, 7312, 8502, 786, 2303, 5574, 543, 6197, 2242, 585, 18720, 8611, 2589, 563, 18800, 539, 1635, 281, 27692, 808, 269, 966, 528, 341, 1157, 267, 11022, 267, 6481, 10615, 543, 10615, 540, 9894, 12519, 15099, 267, 32212, 13052, 19566, 10406, 540, 4284, 6509, 19608, 5525, 267, 4972, 540, 7731, 6925, 267, 772, 310, 6925, 267, 3427, 540, 6925, 267, 2160, 540, 6115, 267, 22208, 267, 26146, 269, 4746, 12649, 676, 6424, 2098, 10079, 267, 11022, 267, 631, 11190, 267, 1772, 5055, 29142, 559, 341, 773, 267, 12854, 267, 543, 519, 589, 6185, 6993, 8160, 269, 32000, 2319, 269, 0, 2791, 786, 991, 547, 946, 519, 19315, 7825, 2678, 607, 606, 19315, 31461, 543, 711, 607, 513, 15364, 2638, 518, 585, 519, 1985, 1900, 538, 519, 5650, 269, 1411, 786, 1616, 547, 946, 519, 9803, 19315, 332, 4336, 707, 11281, 3091, 267, 607, 519, 6093, 23090, 4187, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 540, 3395, 909, 269, 9453, 713, 1582, 15696, 731, 267, 649, 1745, 1507, 543, 2079, 27303, 267, 543, 13712, 1557, 1837, 1586, 649, 3111, 547, 540, 21473, 30241, 28019, 3594, 267, 1831, 782, 602, 649, 666, 581, 2336, 12024, 16549, 869, 267, 29124, 11099, 602, 267, 952, 2451, 547, 741, 1378, 3457, 267, 2831, 786, 4043, 547, 3548, 543, 5539, 1557, 4235, 1919, 602, 616, 1434, 585, 873, 267, 543, 2079, 540, 21473, 30241, 28019, 8532, 873, 538, 547, 2486, 7059, 17114, 269, 9040, 625, 267, 1932, 267, 3100, 547, 1616, 543, 899, 1018, 789, 991, 269, 2368, 3602, 2059, 519, 1899, 267, 2705, 267, 649, 723, 2813, 606, 1604, 585, 6000, 602, 568, 3648, 1114, 689, 519, 835, 538, 799, 649, 7960, 269, 769, 713, 1007, 1604, 616, 971, 1919, 607, 15568, 4006, 267, 7912, 267, 7423, 267, 10217, 267, 543, 865, 593, 267, 602, 938, 11937, 538, 4000, 2760, 6785, 269, 1452, 1919, 723, 10366, 602, 9029, 547, 938, 11248, 545, 3024, 532, 4534, 2943, 798, 711, 4196, 938, 4890, 1436, 1134, 269, 3683, 6634, 540, 1296, 267, 649, 949, 11457, 547, 1265, 2156, 3712, 2993, 811, 17598, 982, 29380, 1815, 820, 4534, 855, 676, 1287, 267, 621, 3580, 581, 1259, 1932, 3735, 585, 596, 543, 803, 269, 3776, 2486, 849, 5012, 721, 4230, 2001, 609, 2175, 540, 4502, 1547, 32365, 256, 1306, 649, 1332, 909, 267, 938, 3237, 267, 3610, 267, 9905, 267, 519, 2923, 267, 543, 1866, 267, 1152, 2285, 721, 1018, 649, 991, 950, 649, 1397, 649, 616, 968, 18976, 2223, 2864, 982, 1175, 1317, 649, 991, 621, 269, 1284, 1205, 513, 4235, 950, 649, 9096, 938, 1362, 267, 649, 1205, 1945, 6653, 950, 649, 9096, 938, 5388, 267, 543, 1034, 11932, 267, 649, 1205, 2648, 543, 15754, 952, 543, 1152, 952, 649, 968, 2041, 17647, 17373, 15775, 2318, 2543, 593, 968, 517, 2783, 892, 29124, 7125, 19585, 2318, 2543, 1547, 10749, 256, 5221, 649, 798, 8197, 991, 2318, 2543, 267, 891, 2175, 616, 1360, 3532, 267, 543, 649, 18846, 6000, 883, 2079, 540, 21473, 30241, 3594, 513, 3337, 5462, 267, 711, 676, 938, 11248, 545, 3024, 532, 610, 938, 4890, 1944, 12402, 267, 855, 676, 3594, 513, 2486, 602, 949, 610, 949, 711, 5963, 723, 938, 1655, 4690, 693, 2295, 269, 589, 968, 16591, 2370, 7911, 610, 8004, 892, 949, 711, 581, 513, 2635, 610, 6126, 7911, 610, 8004, 256, 3683, 942, 267, 713, 968, 935, 1288, 532, 892, 5012, 721, 547, 723, 19585, 2318, 1582, 15696, 731, 607, 1134, 563, 2171, 2253, 547, 540, 21473, 30241, 28019, 3594, 267, 899, 6000, 1152, 952, 649, 2743, 909, 609, 519, 4441, 1866, 723, 4294, 547, 721, 267, 2864, 982, 952, 649, 616, 5963, 4890, 1944, 938, 30372, 269, 1656, 2094, 891, 4441, 941, 2813, 1510, 5329, 1142, 1367, 538, 2247, 267, 811, 1419, 982, 711, 649, 1265, 6000, 8572, 547, 2542, 4640, 267, 2743, 873, 267, 543, 4061, 8572, 547, 2226, 1022, 2631, 540, 1582, 12635, 269, 634, 2460, 540, 707, 1373, 602, 568, 8547, 538, 519, 4890, 1944, 12402, 267, 5205, 11248, 545, 3024, 532, 267, 2115, 543, 11392, 2318, 2543, 543, 1582, 15696, 731, 267, 29124, 7125, 519, 2079, 540, 21473, 30241, 28019, 3594, 1483, 1582, 1547, 898, 568, 519, 968, 9767, 892, 602, 267, 952, 782, 4422, 1134, 267, 596, 786, 1831, 269, 2201, 519, 824, 1688, 267, 547, 519, 6708, 602, 938, 2486, 568, 856, 540, 8223, 2542, 4640, 5348, 577, 609, 519, 4890, 1944, 12402, 267, 543, 649, 616, 7142, 547, 2661, 609, 2175, 540, 4502, 602, 616, 856, 540, 1900, 609, 11248, 545, 3024, 532, 267, 543, 28019, 4309, 1152, 547, 2486, 1557, 267, 19585, 2318, 2543, 543, 3594, 1582, 15696, 731, 267, 649, 1020, 3079, 606, 4998, 1582, 1547, 1635, 4998, 267, 29124, 568, 11021, 1945, 711, 1483, 267, 1945, 602, 568, 2141, 856, 540, 938, 3914, 267, 519, 3044, 649, 666, 1406, 2743, 269, 901, 7934, 1063, 519, 1483, 1582, 543, 2250, 519, 4998, 1582, 267, 519, 968, 296, 993, 892, 543, 519, 968, 296, 1058, 892, 568, 1572, 1651, 784, 745, 640, 1547, 10749, 256, 634, 3152, 519, 13712, 7934, 267, 519, 811, 1651, 784, 745, 640, 269, 5811, 32365, 10749, 256, 634, 811, 1651, 784, 745, 640, 267, 519, 811, 7092, 563, 1103, 1249, 267, 1651, 784, 745, 640, 568, 9247, 1018, 29124, 1797, 676, 5778, 3974, 2433, 9861, 856, 540, 5348, 577, 609, 707, 1378, 1582, 269, 1403, 713, 782, 4992, 5432, 547, 596, 267, 621, 568, 10502, 519, 1482, 1448, 1500, 676, 27239, 9710, 2284, 256, 1879, 596, 616, 538, 1557, 513, 3510, 1141, 972, 568, 606, 1651, 784, 745, 640, 1063, 707, 3239, 540, 3054, 543, 707, 7525, 1995, 540, 3054, 630, 328, 4318, 269, 1063, 519, 4998, 543, 519, 1483, 1582, 1070, 596, 616, 538, 2079, 540, 21473, 30241, 28019, 513, 17116, 3510, 1547, 1280, 1383, 267, 952, 596, 723, 1044, 6026, 547, 1745, 7938, 20564, 952, 596, 798, 711, 1205, 589, 781, 593, 782, 707, 4255, 267, 543, 2943, 596, 5749, 1405, 2731, 782, 602, 1390, 513, 2875, 267, 1287, 3871, 971, 607, 4255, 616, 2469, 547, 1557, 267, 3142, 602, 1651, 784, 745, 640, 547, 1769, 4534, 4255, 786, 581, 1360, 17116, 269, 1879, 596, 616, 24584, 513, 17116, 3510, 267, 596, 786, 1745, 4160, 1547, 17520, 568, 513, 5365, 10834, 602, 972, 568, 8373, 6619, 267, 602, 596, 1058, 2057, 519, 3510, 256, 2290, 1259, 547, 2057, 519, 28019, 3510, 267, 540, 1576, 267, 568, 547, 4584, 3054, 909, 543, 2196, 585, 519, 15113, 269, 4595, 602, 568, 711, 2356, 606, 4781, 538, 7526, 1272, 267, 3079, 540, 4881, 9308, 267, 649, 2196, 2618, 10999, 267, 676, 2079, 28019, 3594, 1210, 23640, 1547, 29124, 262, 2856, 540, 23640, 568, 1360, 2147, 547, 22506, 781, 267, 4849, 602, 29124, 15109, 3388, 689, 1557, 21258, 821, 7526, 513, 829, 24632, 1448, 6361, 268, 1613, 267, 865, 602, 1256, 8823, 543, 25372, 616, 2219, 540, 607, 11994, 269, 5811, 32365, 10749, 256, 18641, 585, 1557, 267, 721, 267, 646, 814, 1152, 2079, 28019, 267, 1079, 23640, 281, 24677, 543, 829, 24632, 23673, 563, 291, 523, 658, 1797, 1360, 1454, 1018, 621, 1281, 538, 22506, 781, 1062, 281, 1411, 3625, 856, 519, 17116, 3510, 15587, 269, 1323, 1383, 1522, 581, 519, 1268, 945, 2760, 26717, 909, 1010, 1449, 610, 12134, 827, 1449, 2164, 267, 865, 646, 3085, 1405, 723, 547, 3068, 4057, 9344, 630, 520, 2547, 585, 1631, 32656, 9324, 658, 585, 4574, 267, 29124, 1281, 849, 1331, 1018, 22506, 1572, 1065, 1833, 281, 1403, 5329, 513, 3965, 610, 606, 20949, 856, 540, 707, 4656, 4534, 20549, 547, 13498, 621, 4534, 596, 949, 581, 2111, 547, 2057, 630, 28785, 267, 585, 1631, 14386, 513, 17116, 3510, 269, 3131, 24632, 23673, 568, 2079, 540, 21473, 30241, 267, 513, 2339, 540, 5368, 614, 31147, 519, 3510, 865, 602, 621, 5526, 1447, 17116, 269, 8262, 27932, 256, 898, 568, 2079, 540, 21473, 30241, 267, 1360, 2147, 547, 22506, 781, 7787, 1436, 269, 589, 2875, 602, 568, 12219, 676, 4255, 543, 9344, 949, 267, 585, 1383, 267, 16620, 519, 7548, 585, 4057, 3450, 267, 8945, 2055, 267, 3983, 10182, 267, 610, 8726, 269, 634, 1249, 602, 3006, 20485, 616, 4057, 3610, 267, 2328, 8945, 2055, 267, 543, 723, 3983, 8456, 1152, 2306, 519, 23673, 960, 1732, 281, 1403, 621, 1223, 581, 3020, 267, 1287, 6148, 621, 2731, 729, 3020, 256, 898, 666, 849, 581, 1454, 811, 15069, 829, 24632, 267, 971, 607, 950, 519, 5539, 1268, 3765, 1348, 338, 1010, 3446, 607, 1732, 982, 621, 568, 563, 19013, 585, 519, 4057, 5778, 6776, 630, 663, 267, 538, 1249, 267, 1034, 540, 721, 1070, 1169, 942, 646, 610, 1352, 3096, 513, 8878, 267, 789, 2322, 513, 3152, 3845, 1063, 519, 1483, 543, 519, 4998, 269, 1358, 1831, 2479, 811, 1651, 784, 745, 748, 267, 543, 1265, 2933, 538, 811, 543, 811, 17116, 3871, 267, 1020, 3152, 543, 3152, 2157, 540, 4160, 267, 543, 946, 811, 543, 811, 23640, 269, 898, 3587, 513, 30380, 4783, 602, 519, 1268, 5555, 568, 8572, 547, 1205, 856, 3594, 267, 540, 267, 693, 2547, 593, 741, 1378, 269, 29124, 849, 814, 513, 9864, 7778, 585, 2618, 2670, 2433, 5369, 2670, 4386, 950, 513, 1268, 781, 8878, 616, 16397, 267, 543, 543, 512, 1575, 659, 741, 2631, 540, 1582, 3587, 695, 13593, 883, 2370, 30890, 4773, 269, 3571, 2623, 11338, 814, 2370, 11007, 547, 540, 21473, 30241, 28019, 3594, 267, 621, 269, 4828, 3245, 256, 1284, 1294, 1864, 607, 2348, 2618, 5328, 9397, 4534, 14501, 540, 3594, 29737, 2623, 269, 3571, 1913, 949, 1118, 2370, 2631, 563, 14367, 4664, 949, 581, 20025, 269, 1261, 949, 6336, 519, 2702, 547, 16174, 1582, 543, 1875, 268, 1345, 267, 543, 1831, 771, 528, 14314, 543, 12809, 269, 634, 4628, 1922, 4233, 532, 1268, 269, 29124, 267, 899, 16549, 869, 267, 568, 1175, 607, 5461, 538, 10503, 519, 2635, 1268, 269, 3571, 2165, 568, 4628, 1922, 4233, 532, 267, 543, 3322, 519, 1557, 21258, 821, 2101, 1739, 7907, 281, 476, 272, 269, 2986, 14731, 32365, 256, 7046, 1145, 547, 1995, 1547, 901, 568, 519, 6587, 540, 1219, 839, 4369, 563, 2005, 568, 519, 4977, 8226, 540, 21258, 821, 7526, 835, 781, 2833, 538, 519, 1158, 267, 1519, 835, 781, 4606, 269, 898, 849, 1797, 1373, 2111, 547, 3398, 4641, 267, 1586, 1519, 835, 781, 4606, 269, 18461, 902, 616, 971, 606, 1271, 851, 540, 22371, 1317, 789, 6655, 11248, 545, 3024, 532, 269, 1403, 596, 3112, 581, 1930, 547, 707, 4606, 267, 596, 3112, 581, 1930, 547, 1035, 783, 1436, 269, 634, 2182, 851, 267, 540, 1576, 267, 568, 23243, 1483, 4606, 689, 519, 32370, 4547, 593, 676, 2175, 540, 4502, 269, 476, 273, 269, 1401, 626, 1113, 2713, 1547, 901, 568, 2713, 538, 519, 1934, 7146, 268, 852, 269, 29124, 267, 607, 513, 851, 540, 3478, 538, 3594, 5905, 609, 4641, 267, 1202, 1235, 602, 649, 711, 2661, 538, 519, 2250, 610, 519, 2104, 4534, 519, 835, 568, 2542, 4640, 267, 8854, 267, 543, 3594, 519, 824, 3884, 1405, 4376, 693, 782, 267, 2943, 2336, 763, 1459, 568, 519, 1152, 4641, 649, 723, 269, 9650, 596, 267, 602, 3085, 1405, 1611, 649, 12582, 1405, 3314, 543, 1451, 689, 21258, 821, 2101, 7526, 938, 2250, 269, 26681, 1281, 621, 1611, 649, 12582, 1405, 1544, 610, 1256, 1554, 1673, 3195, 827, 519, 2104, 269, 3807, 5431, 891, 1919, 585, 2079, 540, 21473, 30241, 3594, 267, 1018, 789, 616, 281, 8823, 543, 9909, 267, 799, 649, 616, 7680, 1934, 538, 519, 1459, 269, 476, 274, 269, 5029, 1143, 545, 3972, 532, 1547, 1284, 1058, 1450, 6000, 547, 581, 11461, 676, 1557, 519, 11248, 545, 3024, 532, 1184, 269, 1284, 1058, 3972, 6000, 267, 798, 1018, 7959, 1318, 267, 1018, 2501, 2067, 269, 5811, 10749, 256, 901, 267, 607, 594, 6415, 2386, 596, 8275, 267, 814, 1831, 513, 2101, 23578, 1448, 538, 29124, 262, 3069, 563, 10144, 2161, 267, 2386, 267, 798, 1018, 2501, 2067, 4534, 952, 596, 616, 513, 8909, 626, 267, 10413, 1004, 282, 952, 596, 616, 513, 11792, 5255, 626, 267, 10413, 3054, 282, 952, 519, 5061, 610, 4568, 1118, 596, 6126, 267, 979, 585, 621, 282, 952, 596, 616, 20158, 267, 6146, 3054, 269, 901, 6157, 3085, 1405, 3280, 899, 1390, 5796, 269, 769, 1249, 267, 1082, 540, 519, 5098, 4430, 525, 540, 519, 13683, 625, 543, 11157, 625, 941, 30199, 593, 713, 10182, 269, 1809, 1832, 538, 540, 21473, 30241, 2247, 602, 29124, 5921, 3972, 707, 1483, 1582, 267, 543, 596, 666, 1152, 917, 1018, 707, 1483, 1582, 814, 547, 2161, 952, 596, 616, 1930, 547, 1995, 543, 2250, 4574, 2713, 16650, 569, 256, 769, 824, 1913, 267, 11248, 545, 3972, 532, 17648, 596, 616, 538, 3346, 609, 519, 1035, 583, 531, 1944, 12402, 563, 275, 269, 5438, 21377, 5191, 1547, 2986, 14731, 10749, 256, 29124, 5433, 602, 621, 729, 13061, 2436, 610, 711, 1004, 2731, 1185, 1863, 786, 269, 11683, 4762, 26555, 256, 1284, 1745, 1360, 1454, 607, 952, 649, 798, 269, 901, 568, 711, 547, 2161, 267, 540, 1576, 267, 602, 649, 616, 1863, 547, 798, 4376, 693, 782, 281, 1284, 616, 11303, 676, 513, 15002, 2065, 7122, 267, 865, 602, 267, 1166, 777, 1250, 7916, 607, 1454, 607, 594, 899, 267, 594, 786, 711, 8038, 899, 8111, 2006, 269, 898, 1797, 602, 649, 1745, 1863, 950, 5079, 616, 2139 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20720, 24062, 267, 910, 271, 269, 26289, 25228, 2568, 276, 276, 1626, 279, 7597, 2568, 278, 16689, 1038, 1496, 1240, 269, 31798, 4281, 275, 30420, 276, 4029, 23841, 267, 476, 272, 269, 1911, 4510, 278, 277, 2537, 276, 4343, 20969, 274, 16689, 1038, 1496, 2918, 269, 11740, 6245, 5611, 4510, 272, 31003, 267, 910, 271, 269, 25002, 279, 3607, 4343, 276, 5392, 277, 275, 1626, 274, 16689, 1038, 1496, 271, 269, 9873, 26482, 3374, 280, 271, 5780, 4366, 277, 3953, 267, 476, 271, 269, 271, 6246, 31172, 280, 4510, 4817, 274, 31275, 3393, 16689, 1038, 1496, 736, 269, 275, 4375, 6507, 272, 14695, 4281, 272, 3607, 267, 476, 271, 269, 5400, 278, 3393, 278, 5038, 280, 5379, 274, 25851, 1428, 16689, 1038, 1496, 271, 269, 1822, 29720, 271, 3393, 6321, 274, 280, 5952, 5908, 267, 476, 271, 269, 6187, 272, 4343, 274, 23417, 280, 1789, 9340, 4905, 16689, 1038, 1496, 3953, 269, 14341, 280, 4792, 278, 4281, 4962, 280, 10037, 267, 910, 271, 269, 279, 866, 5881, 280, 4817, 277, 1822, 6021, 275, 280, 27663, 825, 1535, 12296, 815, 703, 32384, 3287, 9984, 2381, 3287, 4917, 825, 1535, 332, 1173, 514, 815, 630, 343, 12296, 1341, 476, 272, 264, 2608, 476, 271, 269, 272, 454, 825, 1535, 2381, 815, 1295, 3287, 264, 910, 1535, 332, 1173, 514, 454, 825, 1535, 10946, 815, 3193, 3287, 264, 1341, 1535, 332, 1173, 514, 454, 825, 586, 19417, 815, 703, 32384, 12169, 9984, 2381, 12169, 4917, 825, 586, 332, 1173, 514, 815, 586, 19417, 2608, 476, 271, 269, 4962, 454, 825, 586, 2381, 815, 1295, 12169, 264, 910, 586, 332, 1173, 514, 454, 825, 586, 10946, 815, 3193, 12169, 264, 1341, 586, 332, 1173, 514, 454, 825, 12301, 269, 9471, 8443, 343, 2381, 267, 1535, 10946, 267, 586, 2381, 267, 586, 10946, 7481, 825, 1535, 1467, 815, 1496, 328, 585, 1775, 538, 2039, 8987, 273, 267, 703, 263, 274, 20080, 10946, 4297, 2639, 825, 586, 1467, 815, 1496, 3495, 265, 1492, 339, 553, 314, 857, 6012, 272, 27994, 1492, 339, 553, 314, 857, 6012, 271, 316, 585, 1535, 328, 538, 1535, 1467, 2639, 825, 12301, 19502, 3287, 1467, 267, 586, 1467, 267, 1412, 337, 268, 5073, 825, 12301, 31892, 2660, 3287, 267, 586, 267, 13672, 284, 271, 269, 276, 994, 825, 12301, 26644, 263, 3712, 338, 314, 857, 7481, 825, 12301, 11859, 16932, 263, 3712, 338, 314, 857, 7481, 825, 12301, 269, 29786, 263, 3712, 338, 314, 15893, 15058, 22674, 8435, 268, 272, 7481, 825, 12301, 20481, 4590, 8931, 672, 692, 7531, 0, 257, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 26553, 21057, 12641, 574, 6883, 3613, 4202, 270, 4840, 257, 12041, 2433, 32599, 617, 784, 14576, 257, 3097, 257, 14630, 2433, 476, 1001, 280, 268, 4962, 268, 1240, 5016, 12163, 4002, 513, 25047, 13826, 267, 519, 1775, 6253, 1900, 814, 930, 1875, 24308, 1942, 1942, 5157, 316, 8655, 630, 271, 4994, 539, 6393, 5629, 596, 2628, 519, 1942, 267, 596, 666, 2901, 18214, 835, 610, 1079, 3268, 269, 1411, 991, 547, 1265, 5934, 1942, 547, 3914, 519, 1283, 540, 519, 6989, 267, 543, 596, 666, 2901, 1376, 689, 519, 1900, 609, 4994, 476, 271, 267, 610, 519, 1900, 609, 4994, 476, 272, 780, 7078, 476, 272, 912, 825, 18452, 281, 1942, 815, 1496, 1015, 267, 476, 1428, 267, 476, 736, 2639, 825, 19243, 281, 476, 1428, 454, 825, 19247, 281, 4258, 777, 652, 568, 1376, 593, 1942, 314, 272, 3910, 2628, 602, 1942, 543, 979, 547, 519, 1283, 563, 7078, 476, 273, 912, 825, 18452, 281, 1942, 815, 1496, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 2639, 825, 19243, 281, 476, 277, 454, 825, 19247, 281, 4258, 777, 652, 568, 1376, 593, 1942, 314, 271, 3910, 543, 1152, 1900, 593, 476, 272, 338, 267, 1236, 6235, 1942, 314, 274, 14073, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1295, 21798, 290, 3916, 6883, 1805, 4202, 4311, 267, 1942, 2187, 1038, 8173, 1038, 2433, 6943, 1942, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 13872, 1038, 3259, 815, 7003, 6262, 739, 994, 1038, 31185, 815, 1496, 271, 585, 1775, 538, 2039, 10857, 2654, 22708, 13872, 1038, 31185, 314, 271, 316, 815, 1942, 314, 271, 2639, 1038, 31185, 314, 272, 316, 815, 1942, 314, 272, 2639, 13872, 1038, 585, 1775, 538, 2039, 263, 273, 267, 3259, 2187, 2018, 31185, 5157, 316, 815, 1295, 5560, 335, 5157, 910, 476, 272, 3910, 31185, 5157, 910, 476, 273, 8079, 1341, 1942, 5157, 2639, 27030, 1038, 2132, 1295, 5560, 335, 314, 26319, 910, 476, 272, 3910, 31185, 314, 26319, 910, 476, 273, 20285, 810, 815, 8827, 10797, 322, 739, 815, 1496, 1015, 267, 476, 1428, 267, 476, 736, 2639, 322, 739, 272, 815, 1496, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 6540, 2745, 834, 2381, 21798, 290, 3916, 6883, 1805, 4202, 815, 4939, 323, 257, 4939, 865, 269, 2381, 21798, 290, 3916, 6883, 1805, 4202, 6262, 739, 994, 2745, 834, 2381, 21798, 290, 3916, 6883, 1805, 4202, 815, 4939, 323, 257, 4939, 865, 269, 2381, 21798, 290, 3916, 6883, 1805, 4202, 6262, 739, 272, 9239, 0, 5814, 5569, 454, 5814, 4351, 454, 5814, 11580, 454, 5814, 942, 454, 5814, 795, 5459, 692, 258, 14611, 1599, 585, 10451, 18538, 454, 3698, 10426, 5320, 17653, 1807, 4433, 19885, 641, 267, 24393, 18045, 267, 21745, 1388, 18045, 29679, 2133, 18045, 2187, 825, 1948, 290, 516, 566, 540, 13598, 4632, 454, 825, 1820, 2891, 27879, 5320, 11718, 1630, 7627, 909, 5602, 825, 1775, 815, 476, 271, 454, 825, 1883, 815, 834, 10139, 5320, 4840, 825, 3803, 7272, 817, 6919, 815, 11713, 825, 10710, 7272, 817, 5320, 815, 2715, 7684, 454, 825, 10710, 7272, 817, 5320, 15630, 29239, 31107, 267, 314, 7481, 825, 1710, 7272, 817, 815, 1412, 7055, 672, 1948, 10267, 4242, 952, 519, 2450, 540, 519, 18538, 952, 1447, 610, 3160, 547, 476, 5038, 454, 825, 942, 4732, 2748, 263, 272, 994, 825, 1820, 2891, 17653, 908, 18538, 5602, 825, 942, 4732, 2748, 263, 272, 994, 825, 952, 4433, 10922, 476, 5038, 2187, 1038, 1247, 1775, 2999, 562, 641, 912, 2018, 585, 795, 538, 2039, 4433, 2187, 7386, 10443, 7272, 817, 5320, 815, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 269, 30913, 328, 318, 24393, 264, 585, 1775, 538, 2039, 263, 24393, 18045, 4917, 7386, 10443, 7272, 817, 5320, 6834, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 6155, 580, 1080, 264, 585, 1775, 538, 2039, 5560, 580, 1388, 18045, 4917, 7386, 10443, 7272, 817, 5320, 6834, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 4877, 9417, 6672, 264, 585, 1775, 538, 2039, 4433, 2133, 18045, 4917, 7386, 1948, 10426, 6919, 616, 6383, 543, 6740, 538, 513, 1592, 454, 7386, 1699, 7272, 817, 815, 1592, 263, 3757, 7272, 817, 5320, 994, 7386, 4351, 11075, 28984, 263, 9690, 7272, 817, 994, 7386, 1710, 7272, 817, 815, 1412, 8339, 21860, 263, 9690, 7272, 817, 994, 2018, 3803, 7272, 817, 6919, 6910, 6600, 514, 7272, 817, 994, 2018, 942, 4732, 2748, 263, 271, 269, 4962, 994, 2018, 1820, 2891, 7312, 10957, 314, 2580, 328, 2437, 316, 2580, 834, 529, 281, 257, 2073, 1710, 7272, 817, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 1948, 10267, 4242, 519, 7003, 724, 339, 540, 519, 6740, 18538, 1592, 454, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 952, 7003, 6600, 1400, 7272, 817, 6919, 264, 2652, 476, 271, 912, 2018, 1820, 2891, 2467, 616, 1100, 6383, 18538, 32405, 2018, 2132, 454, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 4688, 815, 630, 842, 7565, 6358, 2891, 7617, 10957, 798, 596, 1616, 547, 4688, 263, 271, 910, 2450, 540, 519, 10957, 1592, 269, 1422, 333, 13911, 538, 513, 1297, 2362, 610, 3160, 547, 519, 10957, 1592, 547, 4688, 782, 540, 873, 21663, 27328, 1038, 952, 4688, 13843, 7003, 6600, 1400, 7272, 817, 6919, 2187, 2018, 1820, 2891, 306, 3058, 707, 18538, 5602, 1038, 3116, 912, 2018, 1820, 2891, 306, 3058, 707, 10957, 5602, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 952, 4433, 1511, 13843, 7003, 6600, 1400, 7272, 817, 6919, 15892, 2018, 585, 586, 538, 2039, 12759, 6600, 1400, 7272, 817, 6919, 15892, 3546, 10710, 7272, 817, 5320, 314, 4486, 4940, 6572, 6600, 1400, 7272, 817, 6919, 314, 344, 7481, 1038, 3116, 912, 2018, 10710, 7272, 817, 5320, 314, 4486, 4940, 6572, 6600, 1400, 7272, 817, 6919, 314, 338, 1511, 7481, 1038, 1948, 2745, 4433, 8491, 7272, 817, 5320, 994, 1038, 795, 5459, 318, 15953, 815, 795, 5459, 6155, 7927, 4433, 8491, 7272, 817, 5320, 29679, 677, 318, 12399, 18989, 267, 839, 675, 318, 30913, 328, 25716, 267, 785, 550, 284, 275, 994, 1038, 609, 1930, 2891, 10139, 6919, 6155, 520, 14824, 342, 8442, 607, 856, 12803, 912, 2018, 856, 12803, 22182, 27203, 5459, 318, 15953, 994, 1038, 942, 4732, 2748, 263, 271, 269, 272, 994, 1038, 1820, 2891, 306, 3058, 6192, 15419, 825, 3116, 912, 1038, 1820, 2891, 763, 1297, 2450, 568, 2362, 982, 476, 5038, 5602, 1038, 2132, 7531, 3698, 2638, 10420, 3030, 1125, 4433, 267, 577, 1513, 2187, 825, 952, 263, 577, 1513, 3436, 521, 2187, 1038, 1820, 2891, 734, 310, 27073, 5058, 281, 519, 1915, 1293, 568, 2362, 982, 519, 2450, 540, 519, 18538, 256, 634, 1982, 786, 711, 5352, 18538, 952, 596, 3136, 734, 257, 9239, 21653, 815, 703, 9272, 2891, 11767, 513, 10957, 2450, 1297, 32384, 476, 5038, 2567, 27328, 15893, 15058, 7272, 817, 815, 703, 9272, 2891, 11767, 875, 1082, 18538, 798, 596, 1616, 547, 5352, 281, 27328, 30726, 18045, 815, 476, 271, 454, 15893, 15058, 318, 2280, 815, 703, 9272, 2891, 11767, 875, 1082, 3197, 596, 1616, 547, 723, 281, 27328, 5503, 4732, 2748, 263, 271, 269, 276, 994, 30726, 18045, 6834, 1297, 15058, 318, 2280, 454, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 13765, 10420, 3030, 1125, 4433, 1125, 267, 30726, 18045, 994, 15893, 15058, 5091, 580, 815, 703, 9272, 2891, 11767, 875, 1082, 9704, 596, 1616, 547, 723, 281, 27328, 5503, 4732, 2748, 263, 271, 269, 276, 994, 30726, 18045, 6834, 1297, 15058, 5091, 580, 454, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 13765, 10420, 3030, 1125, 4433, 1125, 267, 30726, 18045, 994, 5503, 4732, 2748, 263, 271, 269, 276, 994, 15893, 15058, 5334, 2133, 338, 815, 703, 9272, 2891, 11767, 875, 1082, 2027, 3197, 596, 1616, 547, 723, 281, 27328, 30726, 18045, 6834, 1297, 15058, 5334, 2133, 338, 454, 5503, 4732, 2748, 263, 271, 269, 276, 994, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 5503, 4732, 2748, 263, 271, 269, 276, 994, 2745, 2891, 10267, 9535, 952, 3388, 568, 620, 2431, 907, 23528, 5503, 4732, 2748, 263, 273, 994, 604, 263, 30726, 18045, 3436, 2450, 2187, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 1820, 2891, 763, 1915, 1293, 568, 2362, 982, 519, 10957, 2450, 32405, 12828, 912, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 1820, 2891, 31819, 568, 5386, 5602, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 10426, 5320, 17653, 1807, 4433, 1125, 267, 1297, 15058, 7272, 817, 267, 1297, 15058, 318, 2280, 267, 15893, 15058, 5091, 580, 2073, 1297, 15058, 5334, 2133, 338, 994, 5503, 4732, 2748, 263, 272, 994, 2745, 2891, 17653, 1807, 9505, 1154, 1524, 32405, 1410, 527, 815, 3403, 2891, 18208, 1022, 1883, 547, 14827, 519, 3498, 8442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 2979, 454, 333, 815, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 562, 281, 27328, 343, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 1535, 281, 27328, 329, 815, 703, 454, 330, 815, 10581, 454, 604, 2979, 8807, 11274, 3287, 264, 283, 272, 912, 825, 585, 795, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 1038, 737, 815, 1535, 910, 16733, 8987, 272, 12684, 333, 264, 2608, 16733, 343, 16732, 273, 265, 333, 266, 272, 4297, 14370, 273, 265, 333, 266, 272, 21875, 12828, 912, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1535, 283, 272, 5602, 2745, 630, 330, 264, 0, 343, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 2473, 10780, 21268, 8563, 26281, 476, 26580, 10948, 24012, 281, 27328, 344, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 962, 10780, 21268, 8563, 26281, 476, 26580, 10948, 24012, 281, 27328, 293, 815, 16733, 277, 16732, 343, 1262, 278, 4297, 910, 630, 275, 269, 276, 16732, 343, 1262, 276, 4297, 1341, 630, 275, 16732, 343, 1262, 273, 21875, 604, 630, 293, 3917, 264, 283, 271, 269, 9826, 912, 825, 1820, 9497, 396, 509, 5284, 379, 3522, 28027, 20046, 5602, 12828, 912, 825, 1820, 2891, 396, 507, 3264, 10780, 5284, 379, 3522, 28027, 20046, 8442, 0, 26611, 23591, 24800, 270, 7090, 274, 7531, 5814, 2979, 454, 5814, 2653, 7666, 328, 607, 575, 692, 258, 24544, 540, 6305, 3097, 3698, 568, 318, 28269, 28840, 2187, 825, 952, 1297, 3436, 476, 272, 912, 1038, 952, 1297, 2652, 476, 273, 912, 2018, 2132, 6936, 454, 1038, 952, 1297, 4939, 476, 273, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 263, 274, 267, 703, 263, 4118, 28460, 28840, 11924, 272, 1070, 476, 273, 2187, 2018, 952, 1297, 4939, 1775, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 1205, 318, 7468, 1307, 28840, 2187, 825, 1247, 6936, 912, 1038, 952, 568, 318, 28269, 28840, 2187, 2018, 6556, 1297, 17264, 1948, 2422, 519, 4162, 540, 519, 11718, 547, 5173, 454, 1038, 1297, 6834, 476, 272, 692, 3698, 1293, 318, 7468, 1307, 10031, 825, 2698, 815, 476, 273, 454, 825, 1297, 815, 703, 14116, 269, 10938, 7901, 2891, 8923, 4283, 519, 1297, 540, 6305, 9832, 547, 581, 7229, 24333, 834, 15612, 566, 540, 22136, 27363, 825, 585, 6305, 538, 1205, 318, 7468, 1307, 263, 274, 2567, 8587, 1948, 3097, 1038, 952, 6305, 2999, 1297, 912, 2018, 2698, 6834, 6305, 454, 1038, 3116, 912, 2018, 20444, 326, 815, 834, 28269, 2040, 568, 281, 4939, 338, 834, 4939, 2698, 454, 2018, 575, 269, 916, 326, 7901, 263, 916, 326, 267, 834, 15612, 566, 540, 22136, 5602, 2018, 2132, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1293, 318, 7468, 1307, 4590, 672, 692, 0, 258, 962, 3658, 519, 12805, 3197, 1993, 519, 3403, 454, 258, 9764, 454, 5228, 621, 1068, 8962, 1104, 1895, 2421, 692, 3698, 5180, 318, 3438, 1807, 263, 3438, 1807, 2187, 825, 1101, 21223, 2211, 815, 1985, 263, 3438, 1807, 994, 825, 6556, 1101, 21223, 2211, 454, 825, 585, 1775, 538, 12055, 1807, 912, 1038, 6556, 1775, 454, 825, 6556, 1101, 21223, 2211, 692, 3698, 14919, 17347, 267, 575, 2187, 825, 575, 815, 1592, 14116, 994, 825, 2132, 737, 2608, 630, 6352, 14116, 264, 910, 272, 2020, 3698, 1292, 272, 263, 20880, 2187, 825, 1543, 815, 1496, 842, 6262, 264, 585, 524, 538, 1543, 2639, 825, 2132, 2040, 8443, 12000, 26021, 17347, 267, 575, 264, 585, 737, 267, 575, 538, 1895, 2421, 263, 1037, 318, 3438, 1807, 263, 3438, 263, 20880, 4297, 13580, 9239, 3698, 1292, 273, 263, 20880, 2187, 825, 1543, 815, 1496, 842, 6262, 264, 585, 524, 538, 1543, 2639, 825, 10300, 3118, 815, 703, 12759, 263, 20880, 264, 1315, 476, 273, 994, 825, 2132, 2040, 8443, 325, 1341, 678, 585, 535, 267, 678, 538, 23407, 263, 20880, 11468, 15595, 3118, 3910, 1543, 314, 15595, 3118, 281, 8079, 952, 535, 2652, 678, 20285, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 272, 320, 270, 6358, 17902, 10807, 607, 535, 335, 912, 1038, 1543, 815, 535, 335, 18667, 14061, 29328, 4590, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 20880, 4917, 825, 1820, 3488, 273, 281, 22207, 1292, 273, 263, 20880, 4917, 0, 3698, 20203, 263, 4186, 757, 2187, 825, 11716, 815, 8771, 454, 825, 6394, 815, 476, 271, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 285, 12466, 2018, 2132, 6394, 454, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 2018, 3136, 454, 1038, 6394, 6834, 476, 272, 454, 825, 2132, 6394, 692, 3698, 6418, 263, 4186, 757, 267, 3490, 23962, 2187, 825, 2040, 23962, 815, 476, 271, 454, 825, 6060, 815, 3490, 23962, 1341, 476, 272, 454, 825, 11716, 815, 8771, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 346, 12466, 2018, 2040, 23962, 6834, 6418, 263, 4186, 757, 267, 6060, 994, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 1038, 8640, 524, 2652, 1412, 283, 12466, 2018, 20203, 263, 4186, 757, 994, 1038, 8640, 524, 2652, 1412, 348, 12466, 2018, 2132, 6060, 1341, 2040, 23962, 454, 825, 2132, 6060, 1341, 2040, 23962, 692, 3698, 1292, 272, 263, 4186, 757, 2187, 825, 2132, 6418, 263, 3438, 263, 4186, 757, 1070, 910, 272, 2020, 3698, 1292, 273, 263, 4186, 757, 2187, 825, 2040, 318, 3258, 12237, 815, 476, 271, 454, 825, 9115, 815, 12055, 263, 4186, 757, 994, 825, 11716, 815, 8771, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 283, 12466, 2018, 2040, 318, 3258, 12237, 6834, 20203, 263, 4186, 757, 994, 825, 2132, 2040, 318, 3258, 12237, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 280, 270, 6358, 17902, 3299, 1412, 337, 10807, 607, 535, 335, 912, 1038, 9115, 815, 535, 335, 18667, 14061, 29328, 4590, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 4186, 757, 4917, 825, 1820, 3488, 273, 281, 22207, 1292, 273, 263, 4186, 757, 4917, 0, 5814, 556, 454, 5228, 10070, 1104, 3957, 14654, 921, 267, 9949, 18743, 692, 307, 1077, 815, 3957, 14654, 921, 3488, 307, 1077, 3299, 1412, 4067, 649, 580, 628, 1453, 5073, 307, 1077, 14857, 327, 1662, 1029, 815, 25754, 1582, 281, 19474, 4311, 20508, 2020, 3698, 1612, 572, 263, 1467, 2187, 825, 1899, 815, 1899, 21858, 3488, 30386, 825, 2012, 815, 1899, 314, 271, 2639, 825, 649, 580, 628, 815, 703, 263, 516, 16553, 16868, 262, 314, 3890, 316, 3299, 1412, 3299, 1899, 314, 272, 28413, 825, 1964, 815, 1412, 8339, 21860, 263, 1467, 314, 274, 281, 7481, 825, 1453, 815, 1964, 21858, 263, 3299, 10807, 952, 1964, 3116, 11713, 825, 2132, 2012, 267, 649, 580, 628, 267, 1453, 692, 3698, 3597, 6025, 10183, 2187, 825, 3237, 815, 2715, 339, 314, 271, 316, 585, 512, 538, 20610, 8679, 825, 1453, 815, 1305, 4590, 825, 585, 512, 538, 20610, 912, 1038, 1453, 269, 26303, 6025, 314, 273, 7481, 825, 886, 815, 630, 18499, 910, 1453, 994, 825, 7682, 7003, 5560, 858, 264, 2652, 476, 272, 454, 825, 2132, 886, 21014, 10797, 3698, 1292, 272, 263, 6050, 2187, 825, 20610, 815, 1496, 27785, 10857, 264, 585, 561, 538, 3515, 2639, 825, 2132, 3597, 6025, 10183, 2020, 3698, 7979, 1512, 263, 18244, 2187, 825, 952, 7003, 263, 18244, 264, 2999, 476, 273, 912, 1038, 2132, 7183, 454, 825, 1453, 815, 15044, 263, 18244, 2020, 825, 952, 1453, 314, 271, 316, 2652, 1453, 314, 272, 316, 11203, 1453, 15631, 272, 14158, 1038, 2132, 1453, 15631, 272, 2639, 825, 8640, 1453, 314, 271, 316, 2652, 1453, 15631, 272, 316, 11203, 1453, 314, 272, 14158, 1038, 2132, 1453, 314, 272, 2639, 825, 8640, 1453, 314, 272, 316, 2652, 1453, 15631, 272, 316, 11203, 1453, 314, 271, 14158, 1038, 2132, 1453, 314, 271, 2639, 825, 3116, 912, 1038, 2132, 7183, 692, 3698, 1292, 273, 263, 6050, 2187, 825, 20610, 815, 2715, 307, 1077, 28949, 27785, 10857, 4297, 585, 561, 538, 3515, 8679, 825, 20610, 318, 2421, 12173, 815, 2715, 339, 1077, 20508, 281, 13486, 585, 13486, 538, 20610, 8679, 825, 20610, 4671, 4973, 318, 933, 580, 628, 815, 31460, 825, 585, 13486, 538, 20610, 912, 1038, 952, 7003, 6025, 1077, 269, 18244, 264, 2652, 476, 271, 912, 2018, 20610, 4671, 4973, 318, 933, 580, 628, 314, 339, 1077, 20508, 316, 815, 13486, 269, 933, 580, 628, 454, 825, 1247, 6936, 912, 1038, 585, 13486, 538, 20610, 912, 2018, 649, 580, 628, 318, 2421, 15220, 10242, 815, 31460, 2018, 1453, 318, 2421, 318, 933, 580, 628, 815, 9949, 18743, 17338, 994, 2018, 585, 1126, 538, 13486, 269, 18244, 912, 3546, 952, 1126, 538, 20610, 4671, 4973, 318, 933, 580, 628, 912, 7386, 649, 580, 628, 318, 2421, 15220, 10242, 314, 18876, 316, 815, 20610, 4671, 4973, 318, 933, 580, 628, 314, 18876, 2639, 7386, 1453, 318, 2421, 318, 933, 580, 628, 314, 339, 10183, 4671, 4973, 318, 933, 580, 628, 314, 18876, 14963, 815, 1126, 692, 2018, 952, 7003, 263, 933, 580, 628, 318, 2421, 15220, 10242, 264, 2999, 7003, 6025, 1077, 269, 18244, 2187, 3546, 3136, 692, 2018, 649, 580, 2195, 815, 15044, 263, 933, 580, 628, 318, 2421, 15220, 10242, 269, 11161, 15405, 2018, 7979, 1512, 318, 933, 580, 628, 815, 7979, 1512, 263, 933, 580, 2195, 994, 2018, 952, 7979, 1512, 318, 933, 580, 628, 568, 711, 7183, 912, 3546, 7979, 1512, 15220, 843, 815, 1453, 318, 2421, 318, 933, 580, 628, 314, 719, 17067, 318, 933, 580, 628, 2639, 3546, 2132, 20610, 318, 2421, 12173, 314, 719, 17067, 15220, 843, 4940, 933, 580, 628, 910, 630, 719, 17067, 318, 933, 580, 628, 910, 649, 580, 2195, 314, 272, 7481, 2018, 3116, 912, 3546, 20610, 4671, 4973, 318, 933, 580, 628, 314, 339, 1077, 20508, 316, 815, 13486, 269, 933, 580, 628, 1341, 2040, 263, 933, 580, 2195, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 278, 270, 6358, 17902, 3299, 1412, 337, 10807, 607, 535, 335, 912, 1038, 3515, 815, 1496, 331, 14714, 8692, 3890, 585, 561, 538, 535, 335, 18667, 6050, 3890, 2639, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 6050, 4917, 825, 1820, 3488, 272, 281, 22207, 1292, 273, 263, 6050, 4917, 0, 2745, 2891, 15916, 15419, 343, 815, 476, 276, 2608, 476, 276, 454, 344, 815, 476, 274, 2608, 476, 273, 454, 345, 815, 476, 273, 2608, 476, 272, 692, 2745, 2891, 13328, 2580, 1535, 910, 1990, 994, 2745, 2891, 13328, 2580, 1535, 1341, 586, 994, 0, 258, 476, 5785, 14343, 19203, 1948, 454, 258, 667, 269, 30954, 22222, 267, 476, 1708, 271, 268, 4962, 268, 2641, 454, 258, 476, 5785, 14343, 19203, 1948, 692, 16344, 523, 1868, 815, 18358, 531, 823, 17902, 3299, 1412, 332, 984, 344, 5091, 1157, 17902, 3299, 1412, 331, 8077, 16062, 1580, 17902, 262, 6540, 1721, 32197, 538, 2083, 523, 1868, 912, 825, 2119, 912, 1038, 609, 1930, 6600, 32327, 267, 17683, 8782, 583, 325, 268, 279, 10807, 607, 1433, 912, 2018, 9115, 815, 1433, 18667, 4590, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 1780, 692, 825, 3116, 912, 1038, 1913, 815, 9115, 31573, 14061, 20889, 4590, 1038, 1948, 1913, 815, 9115, 31573, 10797, 1038, 1455, 29999, 815, 1412, 1492, 7055, 1038, 1455, 29999, 18045, 815, 1913, 29644, 263, 21720, 29999, 994, 1038, 1820, 6600, 262, 315, 333, 763, 2262, 1422, 262, 346, 21720, 29999, 4153, 262, 5526, 827, 1412, 454, 23526, 535, 262, 346, 21720, 29999, 18045, 348, 2053, 538, 2715, 16344, 17575, 348, 5073, 0, 258, 476, 5785, 14343, 19203, 1948, 454, 258, 667, 269, 30954, 22222, 267, 476, 1001, 280, 268, 1321, 268, 4905, 454, 258, 476, 5785, 14343, 19203, 1948, 692, 534, 7769, 815, 18358, 339, 9528, 3299, 1412, 331, 542, 3299, 1412, 3832, 29609, 3299, 1412, 548, 16985, 3299, 1412, 335, 656, 615, 23300, 1721, 3662, 538, 2831, 912, 825, 1820 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 27237, 292, 281, 901, 568, 513, 8799, 1383, 540, 598, 1027, 532, 513, 1448, 1247, 27102, 602, 454, 935, 1027, 539, 621, 269, 634, 3915, 12976, 3109, 12269, 540, 8673, 941, 22566, 540, 454, 24119, 337, 1882, 11642, 267, 799, 941, 8781, 693, 5210, 1259, 2630, 1346, 602, 454, 520, 22633, 896, 4998, 2175, 538, 519, 4527, 540, 6986, 5135, 269, 901, 454, 1492, 2898, 715, 8780, 2272, 267, 2094, 952, 519, 11642, 941, 8781, 693, 5210, 454, 10964, 578, 1346, 2838, 547, 1256, 14020, 267, 1454, 1447, 15835, 267, 5374, 267, 1287, 621, 454, 1492, 2013, 602, 519, 5374, 18604, 267, 1454, 1447, 24268, 267, 607, 606, 1198, 540, 454, 1607, 568, 1776, 2013, 540, 13346, 519, 4087, 540, 519, 2243, 547, 454, 5228, 519, 2152, 547, 799, 621, 568, 2047, 1644, 267, 971, 607, 2055, 476, 278, 320, 454, 3963, 941, 1004, 2938, 538, 519, 10616, 2451, 676, 519, 7077, 5222, 952, 519, 454, 1492, 11642, 3297, 873, 729, 865, 7050, 888, 301, 8780, 11099, 602, 519, 7606, 2938, 941, 2476, 689, 1022, 2178, 3002, 454, 2865, 2693, 538, 606, 1858, 602, 693, 519, 942, 729, 513, 1448, 1141, 519, 2011, 585, 454, 13195, 1373, 6537, 883, 519, 2679, 547, 1489, 519, 11642, 269, 8074, 602, 454, 10849, 5703, 1152, 538, 519, 23761, 538, 654, 12839, 476, 272, 563, 6097, 547, 519, 4139, 9208, 18869, 270, 4811, 476, 13670, 10170, 267, 1004, 786, 581, 538, 454, 335, 664, 1369, 7643, 952, 789, 616, 2282, 519, 32689, 3002, 1377, 6383, 454, 2421, 513, 1804, 454, 13933, 269, 4935, 267, 621, 568, 711, 9670, 602, 9039, 540, 519, 11147, 1397, 513, 454, 9227, 538, 1346, 10616, 1141, 972, 849, 729, 513, 521, 14184, 3595, 563, 763, 3595, 2623, 1739, 519, 8484, 5222, 568, 4330, 538, 715, 8780, 454, 272, 268, 276, 288, 269, 769, 2489, 267, 972, 729, 2370, 13455, 3595, 2282, 519, 1858, 1141, 454, 1515, 8154, 5734, 519, 20610, 269, 8056, 2664, 2299, 2390, 1764, 540, 519, 8484, 2676, 13933, 27750, 689, 519, 11046, 1242, 15191, 4492, 10057, 782, 519, 2199, 5135, 563, 527, 1345, 1131, 723, 1500, 1346, 6753, 6385, 796, 331, 22133, 4700, 634, 454, 638, 1157, 569, 543, 941, 4553, 676, 11642, 602, 8057, 3330, 519, 13486, 1141, 454, 11004, 729, 513, 454, 18474, 1588, 540, 12318, 1043, 1570, 267, 2011, 543, 606, 27307, 2707, 269, 9741, 454, 18474, 755, 1043, 1570, 7283, 2282, 519, 8484, 7127, 3154, 1127, 2094, 519, 454, 257, 12712, 671, 334, 7458, 257, 1454, 540, 621, 4724, 519, 9703, 540, 519, 2679, 269, 4746, 267, 930, 454, 4186, 757, 8593, 998, 519, 9397, 538, 519, 6989, 547, 519, 2984, 2630, 563, 11997, 267, 519, 1004, 4767, 538, 891, 23761, 1590, 723, 15068, 519, 454, 11069, 716, 543, 6410, 734, 517, 576, 519, 3595, 27750, 1185, 26632, 730, 734, 1729, 519, 23761, 454, 339, 655, 704, 2137, 941, 16830, 543, 519, 2011, 729, 20501, 982, 538, 519, 2679, 454, 27237, 292, 281, 634, 11642, 941, 711, 1256, 3905, 2614, 547, 6861, 519, 9486, 267, 1454, 454, 933, 2586, 519, 5374, 547, 519, 1448, 540, 27510, 513, 834, 3966, 322, 820, 12900, 8487, 560, 24780, 11653, 267, 8176, 715, 269, 623, 1122, 601, 578, 267, 814, 5063, 4767, 630, 323, 1005, 454, 5793, 1613, 593, 834, 15239, 7304, 24655, 32438, 2580, 678, 16818, 331, 633, 2593, 630, 2190, 4864, 476, 1220, 277, 264, 602, 454, 2254, 519, 5686, 540, 5656, 602, 616, 11630, 547, 834, 3966, 322, 820, 12900, 20350, 21671, 1259, 621, 1223, 2049, 609, 513, 2679, 540, 713, 2186, 568, 952, 782, 540, 519, 454, 3712, 8435, 593, 513, 6989, 1185, 8959, 8195, 269, 4595, 519, 11642, 941, 454, 339, 17687, 543, 5618, 538, 8653, 267, 972, 568, 1100, 2009, 1259, 585, 602, 547, 454, 268, 4208, 798, 930, 11147, 1397, 513, 5835, 6908, 540, 25183, 4496, 454, 1492, 2427, 540, 654, 12839, 273, 602, 715, 8780, 6811, 729, 11956, 689, 519, 1835, 14414, 7077, 454, 531, 26891, 17236, 609, 513, 3043, 16657, 888, 301, 8780, 4080, 630, 10998, 4306, 2752, 476, 272, 268, 276, 288, 264, 602, 1175, 1354, 476, 280, 281, 7367, 513, 6230, 1421, 513, 6505, 5544, 454, 520, 519, 1283, 540, 513, 6885, 593, 519, 476, 3199, 628, 6989, 540, 654, 12839, 476, 273, 267, 2185, 9486, 6569, 454, 324, 770, 6316, 593, 519, 5087, 3068, 267, 4553, 676, 519, 2095, 540, 513, 30437, 5277, 563, 331, 16556, 5111, 2185, 7643, 1354, 7449, 4575, 269, 3509, 971, 5277, 454, 10849, 5703, 689, 2282, 713, 4087, 538, 519, 5722, 3764, 3056, 909, 547, 519, 454, 1993, 713, 13486, 269, 1703, 568, 1100, 2963, 540, 2147, 25183, 5277, 26311, 454, 534, 1278, 4087, 538, 654, 12839, 476, 273, 610, 689, 9170, 1369, 654, 12839, 476, 272, 563, 21900, 21106, 267, 543, 715, 8780, 13502, 540, 519, 8484, 1764, 267, 1397, 1804, 454, 1372, 11421, 538, 519, 476, 3199, 628, 543, 476, 10037, 560, 19683, 540, 654, 12839, 476, 273, 2282, 519, 3135, 1141, 519, 454, 331, 18612, 5555, 7902, 269, 13518, 540, 713, 11935, 3357, 689, 519, 8484, 454, 663, 689, 519, 5604, 29939, 902, 602, 519, 8484, 14593, 4464, 607, 621, 454, 1729, 713, 2484, 1439, 540, 519, 2679, 269, 14066, 11642, 2919, 593, 891, 25985, 454, 12898, 519, 8484, 1764, 543, 4797, 547, 6633, 538, 519, 1858, 2394, 519, 454, 301, 8780, 11943, 602, 519, 2707, 540, 519, 25183, 1570, 729, 11956, 454, 1492, 8484, 267, 2094, 891, 616, 1634, 547, 15835, 1063, 476, 275, 4037, 5232, 17622, 454, 19592, 4181, 17622, 630, 24119, 2056, 593, 519, 1880, 18585, 1070, 1134, 2630, 519, 454, 339, 655, 704, 2137, 630, 12671, 476, 272, 267, 1822, 5232, 17622, 264, 538, 519, 25610, 540, 519, 454, 2704, 26891, 568, 711, 4397, 547, 5337, 924, 693, 3339, 3595, 5210, 543, 454, 11004, 568, 1100, 454, 6665, 783, 16315, 602, 519, 1570, 13576, 689, 519, 13486, 729, 8781, 563, 303, 675, 5277, 11956, 1131, 581, 4397, 547, 2408, 3623, 854, 269, 1717, 267, 519, 454, 5471, 531, 729, 1360, 2693, 6404, 609, 1804, 5666, 540, 3905, 267, 13148, 454, 16955, 2326, 630, 324, 3052, 1421, 11647, 267, 15790, 1115, 267, 851, 1431, 543, 5904, 994, 5891, 606, 10538, 16657, 267, 1454, 899, 20743, 8781, 538, 513, 3595, 2897, 269, 634, 454, 10233, 849, 1131, 723, 1044, 4299, 676, 1793, 698, 5250, 593, 519, 2627, 563, 27237, 292, 281, 715, 8780, 1058, 5077, 609, 7905, 24697, 13643, 540, 15760, 308, 267, 945, 814, 454, 17238, 532, 6901, 609, 25183, 11956, 543, 25183, 4401, 4143, 547, 454, 23896, 543, 519, 6631, 2329, 540, 519, 715, 8780, 3210, 267, 799, 594, 798, 711, 2232, 454, 268, 9894, 519, 715, 8780, 7634, 1413, 585, 2963, 540, 519, 654, 12839, 20610, 454, 6658, 676, 6417, 23542, 819, 286, 12984, 519, 5374, 7318, 585, 14885, 1161, 610, 454, 637, 573, 1132, 286, 634, 4999, 540, 5687, 924, 543, 16247, 630, 21406, 5687, 622, 994, 257, 338, 997, 525, 998, 5374, 899, 513, 3905, 17180, 998, 7423, 4799, 301, 8780, 1705, 711, 1449, 585, 519, 21225, 540, 891, 7135, 538, 519, 5374, 563, 763, 6114, 547, 2055, 1297, 476, 273, 267, 476, 275, 267, 476, 276, 543, 476, 1556, 6542, 1946, 715, 8780, 454, 7474, 972, 941, 1100, 14885, 1161, 610, 6417, 23542, 819, 3238, 538, 519, 454, 1993, 519, 654, 12839, 20610, 563, 13010, 267, 513, 1360, 1804, 7274, 540, 5687, 924, 630, 320, 7848, 540, 32314, 454, 28699, 983, 11956, 4496, 543, 32314, 4401, 12547, 602, 17236, 693, 5393, 454, 339, 655, 704, 2137, 950, 5337, 1243, 264, 610, 1776, 1651, 754, 10706, 7623, 1131, 723, 454, 17495, 547, 581, 454, 31419, 593, 693, 2547, 519, 1297, 540, 9587, 8697, 676, 519, 8484, 1764, 454, 933, 2586, 539, 676, 519, 7766, 11642, 547, 3142, 1524, 513, 13486, 269, 26457, 924, 17236, 454, 7758, 894, 547, 23292, 2326, 543, 666, 2154, 1896, 3764, 538, 454, 320, 7372, 5374, 3296, 547, 3002, 621, 547, 513, 2837, 602, 1131, 1267, 454, 11357, 560, 656, 658, 4617, 2287, 269, 9484, 26147, 689, 519, 654, 12839, 20610, 7634, 267, 715, 8780, 454, 516, 572, 2117, 1667, 6059, 602, 693, 2547, 476, 271, 269, 1724, 6550, 540, 5687, 924, 1131, 581, 454, 17742, 1142, 11013, 540, 513, 5374, 3296, 547, 5111, 476, 10384, 5232, 17622, 454, 339, 17687, 693, 799, 5374, 4617, 839, 15186, 1040, 4475, 267, 1247, 513, 454, 516, 9146, 666, 2759, 998, 1804, 5374, 9587, 267, 1082, 5215, 540, 6550, 454, 750, 332, 924, 1131, 991, 547, 723, 1044, 5116, 14455, 30679, 28204, 6619, 540, 942, 2676, 793, 1243, 267, 543, 11214, 4371, 538, 1463, 3346, 609, 519, 2627, 540, 454, 21346, 633, 7293, 3334, 547, 14020, 519, 2679, 269, 901, 2306, 621, 606, 454, 11357, 560, 766, 585, 8236, 513, 6417, 23542, 819, 563, 26046, 540, 519, 654, 12839, 5374, 585, 519, 2609, 538, 5687, 924, 270, 750, 22940, 1131, 454, 928, 947, 3320, 723, 1044, 598, 5477, 269, 634, 4496, 7135, 849, 1131, 723, 454, 30005, 538, 519, 4070, 2326, 1818, 909, 519, 654, 12839, 20610, 267, 543, 454, 30005, 538, 519, 31682, 3774, 4580, 602, 729, 11342, 538, 519, 9703, 454, 27237, 292, 281, 715, 8780, 1058, 581, 19696, 543, 7234, 519, 960, 540, 24697, 13643, 540, 454, 15367, 814, 5342, 519, 1034, 3573, 1382, 1644, 547, 2165, 924, 543, 454, 23178, 13643, 1131, 581, 606, 3617, 4274, 547, 2232, 713, 715, 8780, 454, 3963, 1705, 519, 715, 8780, 7634, 711, 2015, 5359, 540, 25183, 5374, 454, 5228, 519, 654, 12839, 20610, 888, 301, 8780, 22602, 543, 4966, 689, 519, 1977, 5980, 540, 6406, 454, 263, 3008, 4753, 264, 543, 519, 23305, 19296, 5948, 540, 1715, 3840, 630, 10345, 2177, 312, 264, 734, 15367, 454, 1231, 4624, 519, 654, 12839, 5374, 693, 519, 654, 12839, 3135, 543, 519, 32006, 720, 18126, 734, 11398, 1100, 454, 7474, 1131, 1489, 519, 13621, 540, 5374, 538, 513, 15191, 1922, 3241, 5337, 1243, 3595, 538, 454, 335, 1874, 547, 12900, 269, 634, 2783, 540, 519, 5374, 538, 519, 20739, 1188, 720, 540, 519, 454, 9217, 4318, 1421, 2436, 621, 729, 538, 513, 25183, 1533, 610, 711, 264, 729, 13061, 547, 519, 454, 514, 4034, 12720, 540, 519, 12900, 2094, 621, 1281, 711, 1683, 1022, 598, 5477, 454, 15574, 593, 519, 2783, 540, 519, 5374, 950, 519, 654, 12839, 20610, 941, 454, 301, 8780, 2808, 519, 3441, 547, 519, 5374, 2497, 543, 922, 3595, 16513, 532, 454, 1492, 8484, 1764, 543, 519, 7766, 11642, 950, 519, 5656, 941, 454, 9227, 2094, 602, 3441, 729, 3743, 585, 27510, 519, 12900, 454, 15152, 1978, 6381, 621, 568, 10703, 22133, 585, 930, 540, 519, 5374, 538, 454, 342, 516, 1188, 720, 547, 723, 24268, 1310, 519, 5656, 25540, 269, 7102, 25183, 5374, 454, 342, 516, 1188, 720, 729, 811, 2693, 1813, 547, 519, 1164, 2837, 4611, 689, 454, 1410, 17068, 547, 13674, 1369, 519, 18061, 982, 547, 2110, 4598, 547, 11642, 454, 30161, 657, 687, 1247, 519, 5656, 941, 7555, 563, 27237, 292, 281, 634, 4527, 540, 25183, 4496, 538, 519, 1016, 19668, 906, 1614, 267, 2185, 267, 543, 2947, 454, 933, 4060, 2663, 3112, 581, 834, 597, 516, 10589, 257, 547, 519, 715, 8780, 7778, 540, 519, 454, 257, 322, 3326, 8985, 2580, 2094, 621, 729, 606, 1198, 540, 602, 2680, 269, 1403, 519, 715, 8780, 3112, 454, 1410, 21622, 621, 267, 1287, 519, 715, 8780, 781, 2272, 568, 18106, 543, 14543, 547, 14183, 454, 320, 4909, 10421, 540, 3621, 7744, 267, 1634, 607, 519, 10421, 454, 1993, 2698, 2963, 267, 799, 2829, 3621, 7744, 1590, 581, 3490, 454, 1575, 517, 782, 540, 519, 2139, 4143, 2963, 269, 15845, 568, 4143, 454, 15290, 922, 4527, 610, 9000, 267, 5168, 610, 535, 1023, 640, 267, 2306, 513, 3017, 454, 1729, 630, 320, 977, 338, 519, 1489, 585, 264, 519, 5168, 610, 535, 1023, 640, 540, 513, 3932, 563, 301, 8780, 568, 859, 8172, 519, 3390, 269, 898, 3112, 2272, 585, 1271, 267, 4143, 454, 3963, 568, 519, 715, 8780, 7634, 540, 519, 12900, 540, 654, 12839, 476, 278, 630, 1492, 454, 20761, 602, 25540, 593, 20029, 269, 476, 1556, 267, 476, 1220, 272, 267, 3108, 1310, 519, 20610, 994, 14075, 547, 2347, 286, 1772, 513, 6417, 23542, 819, 8367, 1373, 454, 1410, 21622, 519, 12900, 888, 2691, 715, 8780, 15748, 519, 654, 12839, 7634, 267, 621, 1500, 513, 3375, 711, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 613, 1066, 857, 553, 1862, 2776, 7528, 28987, 24177, 623, 269, 280, 563, 2414, 1265, 1535, 273, 267, 12990, 519, 1871, 596, 1336, 585, 1535, 272, 269, 0, 4131, 721, 581, 2312, 827, 713, 689, 519, 856, 3553, 281, 13342, 28401, 630, 529, 606, 12362, 12544, 15292, 532, 267, 26240, 5652, 9813, 602, 267, 538, 1978, 2127, 543, 3871, 267, 19082, 3362, 543, 3029, 513, 2282, 1395, 665, 11857, 2059, 695, 8014, 5757, 3316, 802, 543, 741, 3574, 539, 6360, 680, 1622, 267, 593, 519, 5011, 540, 14927, 4104, 18162, 543, 4155, 1811, 267, 9170, 602, 519, 1769, 568, 3897, 4364, 543, 519, 3037, 5848, 269, 5221, 513, 2582, 536, 1329, 333, 658, 2030, 7472, 5215, 540, 5452, 267, 543, 9428, 26490, 1947, 538, 519, 3579, 14927, 1145, 540, 4571, 1606, 7428, 267, 13342, 2173, 755, 731, 16094, 27938, 513, 1297, 5065, 2249, 31251, 21276, 3134, 31906, 1023, 971, 607, 1973, 10174, 267, 10656, 2006, 781, 23222, 2583, 267, 646, 31154, 553, 267, 5694, 342, 2176, 267, 543, 959, 650, 1756, 338, 267, 547, 2012, 1175, 513, 1906, 267, 2059, 609, 1022, 7786, 543, 29068, 602, 4096, 2390, 873, 563, 21953, 519, 2030, 781, 2582, 1655, 14049, 267, 519, 2601, 585, 922, 1967, 267, 568, 513, 3668, 540, 2067, 14763, 269, 23875, 1454, 4667, 547, 899, 4189, 13342, 2173, 755, 731, 267, 1519, 17642, 564, 841, 13650, 269, 769, 2342, 267, 519, 2030, 781, 3312, 1753, 267, 13342, 2173, 755, 731, 568, 711, 12362, 1317, 621, 568, 882, 1639, 676, 20733, 540, 1614, 18797, 1114, 2249, 540, 7786, 282, 1934, 538, 3345, 3013, 2507, 32502, 267, 562, 3385, 267, 711, 835, 17079, 9060, 621, 5493, 23534, 1765, 520, 2547, 711, 2614, 865, 547, 1118, 1022, 3017, 547, 922, 13311, 7269, 563, 763, 20451, 568, 602, 13342, 2173, 755, 731, 729, 4547, 547, 713, 2197, 585, 1426, 543, 607, 513, 16392, 10786, 676, 2038, 13896, 269, 634, 1249, 568, 267, 519, 1762, 3762, 540, 13342, 2173, 755, 731, 30147, 16919, 267, 607, 596, 1522, 4952, 267, 540, 1312, 13342, 543, 28401, 1765, 332, 1389, 513, 1434, 1840, 547, 25235, 267, 13489, 1922, 1845, 267, 543, 27156, 269, 594, 4312, 711, 2943, 2944, 865, 267, 855, 13342, 2173, 755, 731, 568, 1767, 547, 1118, 606, 5140, 11641, 334, 585, 18437, 267, 19323, 12277, 267, 28777, 19787, 267, 1256, 936, 2156, 6150, 3165, 563, 294, 541, 997, 2173, 755, 731, 781, 6263, 630, 272, 270, 274, 547, 476, 272, 270, 275, 10759, 264, 5810, 267, 6738, 538, 13421, 29691, 513, 31537, 602, 781, 9170, 689, 476, 272, 1700, 274, 3952, 7381, 267, 616, 18562, 26837, 22239, 17681, 269, 19232, 3043, 18742, 602, 1413, 899, 20538, 3444, 3613, 9662, 8015, 519, 18632, 3039, 2044, 563, 12024, 865, 1082, 824, 28164, 649, 4312, 5189, 609, 1434, 15752, 267, 13342, 2173, 755, 731, 814, 711, 1152, 5828, 593, 721, 22924, 781, 12306, 538, 585, 519, 1279, 688, 592, 267, 12691, 547, 2479, 581, 16701, 5344, 269, 634, 1655, 649, 666, 798, 568, 1451, 875, 547, 4894, 519, 2371, 267, 543, 547, 798, 865, 8164, 543, 16382, 2009, 269, 1656, 952, 596, 3494, 602, 642, 3188, 766, 568, 3006, 1655, 6039, 909, 585, 12129, 267, 596, 262, 331, 581, 13820, 1176, 30039, 269, 0, 2414, 519, 15503, 912, 1103, 2257, 267, 513, 7623, 568, 513, 7848, 540, 6464, 269, 769, 6214, 267, 513, 7623, 568, 513, 1747, 1141, 513, 2229, 949, 26343, 1004, 602, 616, 2808, 513, 2009, 3463, 269, 769, 6128, 267, 7623, 532, 568, 513, 1360, 1271, 1523, 602, 814, 7096, 6286, 585, 782, 1004, 563, 1103, 3619, 742, 560, 1144, 267, 519, 2698, 6578, 630, 26165, 543, 3506, 264, 814, 1044, 3395, 28354, 585, 5756, 269, 19663, 28354, 1797, 602, 513, 1297, 568, 7623, 532, 693, 930, 6871, 630, 8472, 936, 513, 6378, 1974, 540, 942, 269, 901, 1249, 814, 4539, 585, 782, 3619, 742, 560, 1144, 7264, 543, 741, 3959, 9204, 563, 12179, 1297, 602, 9428, 693, 1022, 6871, 936, 942, 786, 711, 1332, 693, 519, 1482, 2179, 269, 2334, 568, 519, 1883, 3364, 547, 27655, 827, 519, 1379, 540, 513, 7623, 532, 1297, 281, 4634, 1498, 513, 1297, 568, 3395, 693, 519, 1482, 6871, 1169, 1032, 267, 519, 2179, 540, 2208, 3587, 5051, 3677, 21496, 269, 769, 1249, 267, 1034, 540, 519, 2962, 4386, 538, 519, 2063, 1906, 1296, 269, 1656, 585, 3619, 742, 560, 1144, 602, 4090, 568, 4947, 563, 763, 12449, 2630, 9414, 519, 7623, 532, 1523, 585, 519, 3619, 742, 560, 1144, 3506, 689, 476, 4198, 278, 609, 513, 16879, 883, 519, 2104, 1759, 593, 519, 1482, 2557, 540, 2208, 269, 18564, 519, 7678, 563, 306, 29558, 5357, 645, 11070, 294, 4953, 476, 4198, 278, 268, 13078, 278, 630, 19061, 539, 994, 763, 7678, 568, 513, 3501, 968, 327, 15736, 6529, 892, 5250, 602, 2982, 519, 3803, 1764, 540, 1022, 7623, 1297, 563, 763, 2338, 538, 3109, 941, 5833, 689, 3619, 742, 560, 1144, 16011, 18614, 267, 799, 2882, 519, 1297, 540, 1053, 543, 519, 1269, 270, 30700, 269, 634, 2338, 538, 2699, 616, 3274, 11173, 513, 1360, 15061, 6871, 2333, 540, 476, 278, 269, 273, 260, 883, 519, 2104, 269, 14033, 519, 1439, 630, 516, 958, 14386, 519, 2179, 540, 21496, 1942, 2208, 3587, 31417, 269, 901, 568, 1152, 519, 17149, 12343, 540, 513, 7623, 532, 1297, 2507, 1415, 1297, 2336, 2467, 568, 606, 5140, 3896, 602, 6941, 519, 1764, 540, 513, 7623, 532, 1297, 269, 3848, 476, 275, 540, 3220, 269, 18281, 6742, 21672, 779, 968, 24979, 1662, 6092, 892, 3947, 513, 476, 274, 18826, 24669, 7778, 540, 519, 1966, 563, 763, 18631, 3848, 476, 274, 630, 1015, 3764, 264, 3947, 513, 811, 2143, 7778, 269, 654, 10248, 2901, 540, 519, 11271, 786, 12172, 2899, 543, 585, 782, 519, 14196, 29270, 3619, 742, 560, 1144, 27710, 16558, 563, 1103, 1249, 267, 621, 1522, 711, 581, 513, 3983, 2856, 936, 942, 630, 12671, 476, 274, 3108, 264, 547, 4585, 782, 519, 11271, 547, 1205, 513, 9787, 540, 519, 2883, 26708, 5721, 602, 568, 3046, 516, 1782, 1524, 519, 13475, 630, 663, 1018, 547, 798, 264, 2507, 520, 782, 540, 721, 2336, 1432, 649, 949, 581, 26164, 568, 519, 2009, 2883, 9552, 540, 519, 1647, 1362, 543, 519, 2104, 540, 938, 1453, 269, 4208, 1131, 3743, 4079, 917, 5944, 1450, 713, 547, 4755, 286, 4208, 888, 763, 1249, 602, 513, 2603, 540, 713, 568, 3361, 676, 519, 3527, 30032, 13905, 540, 1004, 23493, 538, 667, 5861, 269, 568, 513, 1966, 563, 14085, 540, 713, 568, 5921, 547, 19225, 523, 610, 25657, 1004, 269, 898, 568, 1175, 513, 1289, 547, 1205, 3564, 1373, 20158, 543, 538, 24677, 7282, 513, 18447, 4305, 269, 3619, 742, 560, 1144, 7264, 991, 547, 1205, 14220, 630, 520, 519, 1318, 1004, 264, 543, 1205, 883, 2962, 547, 1689, 1919, 910, 1927, 269, 12085, 991, 547, 1689, 2507, 663, 972, 568, 513, 2462, 1966, 563, 10527, 1966, 609, 1966, 6061, 568, 10747, 519, 1966, 1848, 968, 763, 1966, 281, 1703, 786, 2760, 581, 1514, 5126, 609, 2804, 21440, 256, 9483, 5126, 3340, 3280, 2724, 256, 4635, 2584, 665, 641, 1512, 2724, 568, 5667, 895, 17373, 1548, 649, 616, 6158, 827, 513, 7372, 2179, 540, 7963, 2451, 585, 2104, 5481, 2336, 763, 1101, 3364, 547, 798, 568, 13599, 1004, 543, 798, 930, 2146, 23793, 269, 2913, 721, 2253, 519, 5692, 563, 296, 1175, 2219, 454, 7474, 596, 1185, 513, 968, 14738, 547, 5700, 892, 630, 305, 273, 298, 4700, 0, 1103, 476, 9264, 274, 267, 519, 6752, 762, 3703, 18048, 5261, 18264, 1399, 1500, 513, 2027, 7552, 547, 8303, 547, 4444, 5128, 513, 1007, 4062, 540, 3937, 585, 1010, 18638, 563, 2005, 7012, 1406, 606, 1574, 601, 610, 26814, 646, 729, 1310, 267, 855, 513, 1272, 20695, 812, 928, 23936, 602, 646, 1223, 946, 547, 2203, 519, 9660, 12816, 676, 519, 5396, 538, 1010, 5961, 269, 18264, 1399, 729, 711, 8966, 538, 1210, 812, 928, 638, 1231, 547, 1796, 538, 585, 2661, 3631, 538, 1010, 960, 269, 769, 519, 476, 866, 628, 2540, 968, 26792, 5515, 5608, 607, 789, 616, 5265, 1634, 267, 941, 2808, 1898, 2645, 585, 5159, 1317, 789, 5795, 1480, 3631, 513, 2736, 543, 849, 14284, 513, 3510, 1141, 5256, 26719, 1185, 547, 1353, 19157, 4775, 5515, 17946, 1653, 19861, 269, 1306, 18264, 1399, 6045, 538, 513, 4484, 689, 8303, 547, 1010, 7015, 281, 968, 7069, 7344, 6006, 2987, 2389, 8565, 568, 711, 2347, 1510, 713, 3034, 763, 3943, 3854, 693, 713, 942, 729, 519, 8998, 585, 812, 928, 23936, 1818, 543, 18264, 1399, 729, 2111, 547, 1931, 519, 20923, 2203, 2139, 689, 519, 13186, 540, 6754, 13535, 582, 269, 1261, 6976, 1018, 646, 2808, 519, 968, 1952, 16226, 892, 2040, 540, 11278, 4366, 585, 1010, 812, 928, 23936, 1107, 513, 4775, 4137, 2347, 609, 28077, 17873, 543, 513, 13556, 2212, 1107, 543, 3576, 6765, 513, 1032, 2663, 563, 288, 2482, 4137, 676, 13535, 582, 3217, 11348, 540, 1747, 538, 513, 1007, 14266, 267, 693, 11062, 779, 23575, 15884, 3554, 7467, 267, 799, 6054, 519, 4241, 1909, 519, 812, 928, 23936, 814, 5129, 538, 1148, 1686, 269, 595, 6817, 8125, 550, 16890, 267, 621, 3217, 721, 689, 519, 9998, 6592, 946, 540, 812, 928, 638, 1231, 538, 519, 11193, 630, 309, 553, 926, 19528, 513, 1272, 20695, 2203, 538, 519, 18638, 540, 17793, 19258, 565, 558, 1889, 334, 1070, 998, 741, 30971, 1485, 538, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 543, 909, 547, 519, 1459, 1554, 563, 1432, 1058, 1118, 519, 1397, 513, 1483, 15624, 1790, 1638, 518, 568, 519, 9058, 17381, 540, 519, 3615, 593, 4159, 269, 3683, 519, 1576, 540, 1614, 1296, 267, 1225, 1807, 13191, 16189, 549, 543, 1200, 2319, 723, 6537, 1927, 513, 4015, 540, 519, 1034, 7415, 812, 928, 638, 1231, 538, 6228, 267, 607, 1134, 607, 811, 982, 476, 5197, 1568, 540, 1148, 538, 799, 2482, 5515, 616, 1634, 547, 723, 1044, 1031, 563, 763, 1267, 949, 1256, 9983, 519, 4966, 269, 3245, 513, 5373, 676, 17793, 19258, 565, 558, 1889, 334, 540, 476, 14983, 280, 267, 547, 10367, 676, 717, 1622, 28386, 267, 26440, 553, 543, 3938, 321, 564, 267, 5961, 10536, 513, 1007, 16982, 950, 649, 1174, 602, 891, 5159, 941, 3168, 693, 812, 928, 638, 1231, 950, 789, 13556, 873, 269, 3973, 972, 616, 519, 2482, 5515, 2933, 267, 891, 9490, 267, 1272, 6438, 3615, 799, 1831, 782, 519, 811, 20807, 532, 1107, 610, 968, 15635, 15967, 892, 607, 22506, 4330, 873, 1107, 950, 649, 917, 602, 789, 941, 2899, 575, 18968, 2390, 865, 561, 990, 5944, 676, 590, 1157, 1068, 610, 7085, 9820, 563, 4517, 519, 1397, 3085, 1406, 21183, 2476, 689, 6236, 519, 4241, 1909, 812, 928, 638, 1231, 723, 2141, 5129, 607, 6698, 585, 4638, 7287, 543, 10099, 880, 269, 3245, 29191, 573, 779, 9661, 540, 12877, 326, 7356, 542, 9991, 538, 2648, 27477, 267, 891, 20533, 3425, 723, 2141, 1044, 3615, 540, 14810, 543, 9345, 269, 3371, 616, 3670, 540, 519, 1034, 14984, 689, 519, 14266, 912, 272, 6754, 13535, 582, 779, 17828, 8303, 1329, 928, 454, 273, 3627, 31231, 1777, 7085, 9820, 779, 9741, 4477, 704, 454, 274, 19124, 590, 1157, 1068, 779, 23942, 6184, 17508, 454, 275, 21142, 2142, 17662, 779, 1546, 1260, 19397, 667, 3326, 454, 276, 269, 744, 12921, 541, 918, 758, 657, 577, 6390, 779, 2048, 310, 2674, 538, 9791, 20371, 277, 269, 25455, 543, 667, 16394, 28331, 2006, 779, 2048, 291, 3089, 4132, 20371, 2005, 729, 609, 741, 23892, 1126, 812, 928, 638, 1231, 23242, 4638, 8219, 607, 11132, 2934, 602, 519, 28331, 2006, 14552, 1101, 3357, 547, 23146, 607, 5159, 538, 519, 2038, 476, 1960, 271, 338, 269, 769, 1082, 2081, 891, 1568, 3274, 1118, 16765, 519, 1065, 5962, 2144, 5328, 6720, 553, 625, 602, 723, 1044, 15810, 593, 547, 5159, 685, 812, 928, 638, 1231, 2429, 741, 1686, 269, 667, 3089, 4132, 267, 513, 811, 2487, 960, 676, 519, 28331, 332, 753, 267, 6770, 547, 2247, 519, 1686, 540, 4719, 17634, 630, 1156, 576, 519, 2220, 770, 11986, 3983, 613, 1040, 1809, 538, 519, 2796, 540, 713, 14266, 267, 621, 568, 849, 1175, 519, 5767, 1383, 538, 519, 1279, 22871, 540, 812, 928, 638, 1231, 1031, 676, 5159, 547, 28596, 267, 796, 3553, 1479, 610, 10508, 721, 563, 8072, 22068, 550, 16890, 281, 30310, 543, 2494, 928, 23936, 689, 9577, 547, 674, 564, 880, 685, 568, 693 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18511, 272, 2410, 343, 630, 343, 266, 273, 264, 6525, 3767, 267, 1210, 13177, 1472, 1269, 343, 284, 271, 259, 610, 23481, 7269, 6695, 6912, 346, 273, 1535, 317, 273, 266, 275, 1535, 266, 272, 13157, 272, 266, 273, 1535, 14870, 317, 273, 266, 273, 1535, 317, 274, 266, 302, 13375, 3287, 317, 275, 9368, 14638, 6695, 6912, 314, 274, 31765, 275, 1535, 317, 274, 266, 1321, 1535, 317, 273, 266, 280, 1535, 266, 272, 13157, 272, 266, 274, 1535, 268, 276, 1535, 317, 273, 10954, 2765, 346, 6858, 25452, 274, 26507, 317, 274, 266, 302, 13375, 3287, 317, 275, 9368, 14638, 6695, 6912, 346, 273, 1535, 317, 273, 266, 275, 1535, 266, 272, 348, 1422, 6912, 314, 274, 31765, 275, 1535, 317, 274, 266, 1321, 1535, 317, 273, 266, 280, 1535, 266, 272, 13157, 272, 266, 276, 1535, 10954, 2765, 346, 4097, 1535, 317, 274, 2410, 274, 15396, 302, 13375, 3287, 317, 275, 9368, 14638, 1818, 3230, 288, 7807, 2765, 346, 276, 2410, 273, 32757, 2765, 346, 276, 25452, 275, 26507, 266, 302, 13375, 3287, 317, 273, 9368, 264, 9681, 3519, 1356, 940, 519, 2034, 1448, 267, 949, 594, 2303, 596, 4729, 4278, 1599, 585, 1269, 268, 272, 1422, 19008, 512, 1422, 19008, 476, 273, 259, 7790, 1411, 1058, 1174, 1946, 713, 1297, 780, 763, 7215, 2303, 4259, 1269, 339, 815, 1422, 6523, 1535, 10608, 634, 3970, 21810, 547, 692, 7445, 6234, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 348, 815, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 348, 1341, 315, 6912, 3189, 6523, 476, 273, 343, 348, 910, 1422, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 10592, 3086, 267, 4399, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 24828, 7562, 317, 273, 1535, 348, 815, 1422, 13320, 346, 272, 10559, 6523, 476, 273, 343, 7346, 7562, 317, 273, 1535, 630, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 348, 14587, 815, 1422, 13320, 346, 273, 2410, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 3686, 1422, 21375, 476, 272, 259, 607, 1269, 343, 1422, 21375, 476, 271, 6911, 663, 4399, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 910, 1422, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 348, 815, 1422, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 3847, 263, 272, 10559, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 264, 7346, 7562, 317, 273, 1535, 10592, 259, 7807, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 3847, 263, 272, 10559, 6523, 476, 274, 343, 1422, 2431, 264, 7346, 7562, 317, 273, 1535, 1422, 3847, 263, 272, 10954, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 266, 1422, 3847, 7268, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 8203, 273, 1422, 2431, 264, 10592, 259, 7807, 13320, 346, 273, 1422, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 7562, 317, 273, 1422, 13320, 346, 274, 343, 2410, 273, 348, 476, 7346, 7562, 317, 273, 1535, 1422, 3847, 263, 272, 10954, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 266, 1422, 3847, 7268, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 8203, 273, 1422, 2431, 264, 10592, 259, 7807, 6234, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6523, 476, 273, 343, 1422, 6523, 476, 274, 343, 476, 7346, 7562, 317, 273, 1535, 630, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 1422, 6523, 476, 274, 343, 7684, 14587, 1422, 21375, 1422, 13320, 346, 274, 2410, 273, 4151, 607, 1269, 343, 1422, 21375, 476, 271, 6911, 17798, 519, 3970, 11224, 1269, 272, 10954, 13320, 346, 274, 2410, 273, 348, 815, 1422, 13320, 346, 276, 2410, 273, 10592, 1892, 901, 835, 568, 711, 12863, 3379, 547, 519, 3312, 3970, 269, 634, 15821, 3970, 568, 3362, 17411, 676, 2409, 540, 7223, 538, 476, 274, 267, 275, 3268, 269, 1656, 707, 8945, 1568, 1152, 1317, 519, 4082, 729, 6074, 538, 602, 6073, 269, 1548, 1131, 596, 798, 952, 1269, 275, 339, 317, 274, 268, 274, 339, 259, 729, 4957, 547, 1269, 276, 339, 317, 275, 268, 275, 339, 259, 286, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 2641, 454, 1892, 594, 993, 4758, 1776, 5133, 267, 609, 1100, 6811, 547, 621, 1373, 811, 17715, 610, 9120, 610, 7347, 269, 901, 1880, 1966, 4667, 547, 723, 1044, 1305, 1210, 4645, 2655, 4801, 538, 2247, 269, 4014, 1247, 1603, 621, 856, 4628, 621, 949, 3100, 1279, 267, 855, 609, 2614, 2259, 4645, 7182, 616, 2523, 21443, 762, 547, 2790, 9819, 269, 1107, 1109, 295, 926, 1744, 1678, 541, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 1789, 454, 1892, 594, 723, 711, 2016, 513, 8917, 2864, 1175, 513, 6085, 705, 339, 519, 3070, 543, 594, 1810, 1405, 3858, 602, 4645, 7182, 616, 2523, 21443, 762, 547, 2790, 9273, 3379, 547, 15821, 7182, 269, 10819, 971, 607, 891, 616, 6296, 2436, 789, 581, 25066, 610, 15821, 543, 621, 1281, 711, 2339, 799, 1935, 596, 3442, 269, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 4343, 454, 1892, 769, 602, 2013, 707, 6085, 568, 13061, 543, 1799, 1468, 1107, 1109, 295, 926, 1744, 1678, 541, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 5655, 454, 1892, 12344, 596, 31495, 2181, 1540, 1250, 2063, 6085, 269, 594, 4941, 547, 2161, 602, 891, 2042, 616, 3362, 17411, 676, 741, 2067, 4485, 543, 972, 568, 1100, 991, 547, 6460, 606, 15821, 1966, 883, 513, 25066, 835, 543, 13030, 17930, 630, 2254, 532, 602, 971, 24740, 949, 711, 2141, 581, 2009, 1040, 1809, 594, 7058, 596, 616, 811, 3608, 609, 4645, 9163, 982, 15821, 3283, 267, 865, 581, 621, 269, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 276, 281, 6860, 692, 8794, 519, 7862, 3230, 343, 268, 272, 7807, 2765, 12757, 317, 277, 268, 272, 2410, 272, 21147, 21147, 317, 273, 21147, 317, 274, 21147, 317, 275, 21147, 317, 276, 9574, 2330, 649, 1205, 630, 6748, 16423, 1090, 24488, 547, 4228, 543, 1287, 547, 7941, 264, 1422, 8218, 9387, 348, 1422, 2765, 3189, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339, 317, 273, 268, 272, 31905, 7807, 2765, 2715, 20719, 273, 339, 317, 273, 268, 272, 348, 8203, 274, 20719, 275, 339, 317, 274, 268, 274, 339, 348, 8203, 273, 268, 272, 2410, 263, 339, 317, 273, 268, 272, 9385, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1299, 7807, 2765, 24877, 272, 910, 476, 280, 512, 317, 273, 1341, 476, 4281, 512, 317, 275, 910, 476, 28803, 512, 317, 277, 1341, 476, 27174, 512, 317, 279, 910, 476, 29575, 512, 3867, 1015, 348, 1341, 476, 12553, 512, 3867, 1321, 12453, 263, 339, 317, 273, 268, 272, 9385, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1299, 7807, 2765, 346, 272, 1341, 476, 1015, 512, 317, 273, 910, 476, 6924, 512, 317, 275, 1341, 476, 1220, 512, 317, 277, 910, 476, 16348, 512, 317, 279, 1341, 476, 12553, 512, 3867, 1015, 24828, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1422, 754, 9387, 348, 1280, 1269, 339, 284, 272, 259, 649, 1205, 6695, 2765, 346, 272, 1341, 1015, 268, 6924, 266, 1220, 268, 16348, 266, 12553, 2410, 263, 272, 266, 272, 266, 272, 266, 272, 266, 272, 266, 272, 14587, 7807, 2765, 346, 1428, 2410, 277, 18098, 2765, 7367, 269, 9681, 1892, 594, 1498, 540, 713, 693, 1101, 267, 855, 621, 568, 1175, 1932, 1454, 960, 269, 1703, 568, 513, 8945, 547, 14458, 1919, 267, 1294, 1250, 2626, 269, 1107, 1109, 305, 2940, 5576, 23124, 639, 5463, 476, 1240, 1412, 1704, 693, 476, 271, 281, 7871, 454, 1892, 1656, 1269, 339, 19749, 486, 6629, 271, 269, 279, 5392, 30663, 14138, 26605, 30640, 286, 259, 1107, 1109, 13043, 299, 1478, 5463, 476, 1240, 1412, 1704, 693, 476, 271, 281, 7918, 454, 1892, 594, 21645, 6956, 1505, 267, 855, 1341, 272, 269, 1107, 1109, 13043, 299, 1478, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 4962, 454, 1892, 7711, 13043, 299, 1478, 281, 782, 594, 1705, 568, 946, 519, 4542, 689, 519, 4098, 267, 543, 519, 4228, 543, 7941, 21335, 609, 519, 948, 540, 16423, 1090, 24488, 269, 2659, 1269, 268, 271, 269, 10019, 315, 24126, 259, 568, 4625, 13061, 269, 1280, 3236, 267, 4399, 3916, 4671, 29540, 272, 348, 339, 317, 273, 284, 272, 10608, 14572, 1269, 339, 317, 273, 284, 272, 259, 543, 13844, 1269, 268, 272, 259, 607, 513, 3070, 568, 11613, 13061, 547, 519, 3970, 269, 1107, 1109, 32354, 1488, 3455, 9564, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 1015, 454, 1892, 594, 1705, 519, 9819, 1510, 18896, 1090, 543, 962, 2464, 789, 616, 1454, 12863, 269, 1107, 1109, 305, 2940, 5576, 23124, 639, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 2420, 692, 4131, 779, 1305, 1384, 11377, 2765, 11513, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339, 317, 273, 268, 272, 348, 1422, 15153, 512, 7807, 6523, 1535, 1422, 15153, 1535, 29540, 271, 9681, 11377, 2765, 11513, 6912, 2715, 273, 315, 6523, 317, 273, 343, 268, 272, 4153, 6912, 314, 274, 31765, 275, 315, 6523, 317, 274, 1535, 268, 274, 315, 6523, 1535, 18511, 272, 2410, 10559, 7562, 317, 273, 343, 348, 815, 1422, 2765, 11513, 6912, 11513, 6523, 476, 273, 343, 4153, 6912, 314, 274, 27037, 6523, 1535, 263, 273, 315, 6523, 476, 273, 343, 268, 272, 14587, 268, 272, 2410, 10559, 7562, 317, 273, 343, 15732, 3528, 13177, 3126, 649, 723, 1384, 11377, 6523, 1535, 284, 272, 10559, 2765, 12757, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 264, 9681, 2330, 263, 272, 21147, 8203, 333, 284, 272, 266, 333, 343, 266, 334, 3287, 264, 9681, 13295, 1384, 2330, 7807, 2765, 11513, 6912, 2715, 272, 268, 273, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 6912, 314, 274, 316, 18950, 272, 10559, 2765, 12757, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 4297, 263, 272, 268, 275, 343, 317, 273, 266, 334, 3287, 317, 273, 4297, 18511, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 13157, 9681, 2330, 7807, 2765, 11513, 6912, 2715, 272, 268, 273, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 6912, 314, 274, 316, 18950, 272, 10559, 2765, 346, 280, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 14587, 268, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 13157, 9681, 2330, 7807, 2765, 2715, 18950, 272, 14870, 317, 273, 266, 334, 3287, 317, 273, 20972, 263, 272, 10559, 2765, 346, 274, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 4297, 18511, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 14587, 7807, 2765, 2715, 10559, 2765, 346, 276, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 20972, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 1729, 1422, 2765, 7367, 9681, 27237, 292, 692, 11377, 2765, 11513, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4407, 519, 10515, 32683, 21895, 8959, 547, 1205, 782, 2477, 593, 4604, 593, 519, 3390, 540, 2916, 1689, 32586, 16156, 5450, 549, 12565, 15278, 630, 19699, 13612, 264, 6811, 547, 723, 20077, 856, 513, 3039, 2619, 585, 3294, 563, 763, 20336, 13612, 814, 11643, 513, 11162, 4886, 11115, 1143, 630, 7374, 300, 264, 11556, 547, 519, 12080, 540, 5113, 543, 5983, 7370, 547, 7118, 3327, 17099, 585, 519, 1110, 531, 6521, 540, 5450, 549, 862, 26407, 269, 634, 7954, 281, 5450, 549, 862, 26407, 616, 7303, 3327, 5434, 676, 1210, 1857, 3560, 267, 553, 10353, 547, 4357, 6517, 563, 763, 18591, 568, 6236, 519, 1788, 269, 1403, 621, 2501, 998, 267, 527, 568, 2693, 547, 1930, 9885, 585, 2147, 7131, 300, 3785, 585, 824, 1857, 3560, 1949, 519, 595, 7582, 24507, 22084, 21826, 3690, 527, 1062, 267, 1721, 1383, 22698, 746, 581, 835, 563, 5194, 7131, 300, 1788, 540, 519, 16156, 5450, 549, 9494, 1648, 998, 27532, 29584, 538, 14884, 814, 849, 13175, 547, 986, 651, 538, 3327, 17099, 269, 901, 2306, 16156, 5450, 549, 519, 1101, 2229, 8116, 538, 519, 13317, 25467, 519, 1101, 16749, 1062, 538, 519, 1158, 267, 1729, 7118, 3327, 17099, 269, 7201, 519, 1482, 1788, 267, 19699, 13612, 786, 1631, 7118, 17099, 585, 922, 1101, 5123, 540, 5106, 1063, 476, 1220, 275, 543, 476, 1220, 278, 563, 763, 4493, 540, 519, 1007, 7131, 300, 11556, 568, 602, 649, 616, 19011, 1154, 3327, 5434, 998, 519, 1110, 531, 6521, 540, 862, 26407, 689, 4357, 6517, 547, 2973, 1857, 3560, 267, 513, 20336, 13612, 4013, 1767, 563, 763, 1297, 540, 862, 26407, 1210, 519, 5450, 549, 267, 11743, 6112, 267, 529, 2469, 909, 2066, 782, 6688, 540, 6174, 5411, 269, 634, 4013, 1767, 281, 1284, 723, 1336, 602, 1004, 26539, 1079, 2914, 31856, 619, 945, 946, 519, 5450, 549, 2799, 689, 476, 3953, 829, 1298, 538, 476, 1220, 278, 547, 476, 5780, 829, 1298, 693, 1459, 269, 6684, 267, 8364, 5411, 1210, 938, 14884, 4682, 909, 689, 476, 7367, 829, 1298, 538, 476, 1220, 278, 547, 476, 7830, 829, 1298, 538, 476, 1220, 280, 563, 19699, 13612, 814, 1175, 2322, 856, 513, 2518, 13035, 585, 519, 1655, 3902, 585, 21816, 776, 2506, 2153, 11087, 2388, 630, 23615, 264, 585, 922, 29584, 7131, 300, 269, 634, 3355, 7131, 300, 1788, 729, 585, 519, 476, 1220, 278, 268, 1001, 278, 1974, 267, 1721, 799, 20336, 13612, 814, 12236, 476, 275, 32763, 3327, 17099, 630, 1492, 1871, 540, 1142, 5491, 568, 1063, 1269, 476, 1724, 547, 1269, 476, 1789, 267, 24119, 2056, 593, 519, 3327, 2344, 1916, 3086, 267, 19699, 13612, 666, 7118, 476, 3445, 267, 1822, 811, 966, 2207, 338, 585, 519, 476, 1220, 275, 268, 1220, 278, 1974, 267, 15290, 519, 14884, 1101, 2968, 10512, 269, 0, 310, 344, 671, 24841, 12267, 281, 29851, 4325, 6545, 5455, 568, 519, 1101, 538, 513, 3126, 540, 2571, 1983, 3756, 585, 3214, 269, 24812, 24917, 2792, 267, 14375, 267, 543, 1966, 6061, 1983, 2556, 547, 12167, 585, 2933, 543, 1866, 269, 1325, 11220, 609, 519, 2817, 9752, 11621, 585, 661, 6369, 24935, 543, 23016, 267, 519, 3014, 2488, 513, 5748, 267, 602, 7258, 824, 2238, 267, 666, 1267, 538, 513, 2318, 1565, 1995, 563, 10287, 519, 1650, 540, 29851, 267, 513, 2875, 693, 19785, 671, 24841, 4400, 3427, 945, 568, 9991, 3297, 538, 1362, 269, 29851, 8188, 2189, 1514, 2591, 543, 9620, 609, 10128, 513, 1007, 2875, 267, 570, 27462, 267, 883, 519, 1514, 6429, 269, 5269, 5079, 585, 29851, 547, 1294, 875, 519, 1650, 4249, 856, 269, 4024, 570, 27462, 581, 7608, 538, 519, 1895, 286, 4024, 29851, 3251, 2828, 609, 18706, 286, 6496, 29851, 1439, 519, 1032, 609, 513, 1434, 2614, 3446, 547, 979, 547, 6611, 8805, 286, 1411, 1689, 519, 6364, 1759, 593, 707, 3664, 563, 310, 344, 671, 24841, 12267, 7740, 1472, 5188, 2861, 5872, 269, 24812, 7119, 538, 513, 1915, 12454, 1650, 1500, 909, 540, 513, 3126, 540, 7391, 267, 8939, 6114, 693, 1883, 795, 9417, 999, 269, 634, 6114, 2099, 1210, 630, 528, 711, 1210, 264, 519, 1883, 5615, 547, 8795, 5232, 269, 2311, 519, 1439, 540, 519, 3014, 267, 519, 6345, 11392, 5955, 827, 741, 2773, 267, 7175, 10956, 1404, 4724, 17117, 563, 310, 344, 671, 24841, 12267, 2934, 912, 268, 1321, 2189, 30804, 1759, 593, 519, 6345, 779, 3664, 563, 268, 279, 31042, 3662, 3197, 563, 5937, 564, 9229, 5955, 593, 519, 6345, 779, 946, 540, 14223, 1983, 563, 5025, 22429, 3992, 689, 6004, 269, 918, 593, 1018, 621, 1797, 547, 12167, 585, 3054, 543, 1866, 563, 5472, 3756, 538, 519, 19785, 671, 24841, 12267, 3126, 941, 2919, 538, 11450, 609, 519, 3117, 24832, 1280, 5398, 4065, 269, 634, 3804, 540, 8713, 292, 568, 547, 2327, 602, 1169, 2875, 20021, 689, 1164, 1153, 609, 513, 6101, 267, 14323, 1544, 602, 4267, 519, 2055, 267, 968, 8005, 993, 594, 286, 5608, 968, 8005, 798, 594, 1616, 547, 581, 286, 5608, 543, 968, 1692, 798, 594, 1205, 972, 9495, 563, 1607, 1788, 729, 14102, 676, 513, 9886, 689, 519, 10830, 2006, 7690, 267, 1759, 538, 29016, 563, 268, 18264, 322, 2678, 320, 3798, 583, 664, 618, 267, 5549, 563, 268, 476, 4391, 277, 269, 276, 15406, 454, 268, 10671, 2231, 25515, 476, 279, 269, 271, 610, 2663, 269, 3281, 26702, 609, 21236, 267, 27317, 267, 543, 19503, 617, 5905, 563, 268, 6520, 28951, 454, 268, 681, 730, 476, 275, 32504, 268, 9736, 3117, 24832, 585, 5398, 4065, 267, 476, 1001, 278, 454, 4415, 7731, 19457, 1305, 909, 267, 909, 547, 3670, 1920, 2818, 666, 946, 713, 813, 269, 0, 763, 9416, 2389, 6260, 1449, 630, 10499, 307, 264, 568, 513, 5778, 17595, 1670, 1449, 602, 12116, 5179, 8647, 267, 4481, 267, 5179, 3432, 543, 14694, 1242, 11558, 269, 4438, 7245, 267, 519, 1641, 781, 13869, 1058, 581, 1799, 9394, 543, 6366, 593, 519, 4604, 267, 609, 11263, 6905, 267, 543, 519, 4994, 1265, 518, 5116, 593, 519, 10203, 3926, 269, 2290, 1688, 693, 513, 942, 267, 5396, 7148, 741, 4994, 9416, 593, 519, 11573, 607, 3533, 607, 2009, 1369, 513, 476, 1015, 1606, 942, 8884, 267, 538, 1931, 547, 2333, 519, 1297, 593, 519, 10203, 3926, 609, 1142, 7148, 269, 634, 3312, 5650, 7125, 585, 2947, 15654, 8062, 1369, 513, 476, 276, 15304, 2039, 585, 1142, 1688, 267, 855, 7648, 1331, 513, 2698, 540, 3670, 8062, 267, 538, 1079, 5036, 540, 1614, 269, 11778, 689, 674, 10499, 666, 581, 3379, 547, 2085, 543, 4008, 29708, 1239, 543, 949, 5815, 5179, 15717, 610, 14694, 1242, 2634, 14524, 269, 634, 674, 22721, 568, 3769, 538, 519, 16199, 560, 1737, 268, 3725, 11939, 5778, 1186, 1097, 327, 1670, 1449, 6007, 563, 763, 674, 22721, 949, 581, 3769, 607, 851, 540, 513, 3102, 2483, 27066, 543, 3367, 902, 454, 268, 13642, 267, 595, 269, 808, 1421, 10507, 701, 6261, 10623, 11717, 267, 623, 1421, 1299, 654, 778, 338, 2401, 6363, 601, 1457, 267, 808, 269, 630, 1220, 271, 1040, 11879, 2152, 538, 5778, 17595, 1108, 281, 11671, 17595, 1670, 12496, 540, 6662, 5626, 4255, 269, 1715, 3840, 281, 918, 1663, 4546, 14288, 270, 5522, 523, 636, 32155, 10104, 454, 268, 1234, 11939, 267, 681, 269, 631, 1421, 1299, 16423, 5459, 267, 667, 269, 630, 2735, 276, 1040, 11671, 534, 10532, 543, 5778, 12949, 1108, 269, 570, 1075, 5459, 267, 589, 313, 281, 11671, 17595, 1108, 4964, 32155, 10104, 454, 268, 18135, 1380, 267, 661, 1421, 15593, 2006, 267, 661, 269, 631, 269, 590, 1421, 1299, 1975, 2240, 267, 744, 269, 630, 1220, 277, 1040, 589, 735, 754, 1756, 540, 5778, 1186, 1097, 327, 1670, 4255, 281, 10029, 267, 8155, 267, 543, 16555, 630, 274, 6113, 1196, 12175, 10228, 281, 10228, 2160, 4964, 32155, 10104, 0, 6124, 4066, 538, 2489, 543, 7784, 335, 32535, 9604, 538, 1880, 723, 513, 7683, 23503, 1909, 538, 519, 1646, 540, 13137, 267, 543, 621, 568, 547, 713, 7521, 602, 26450, 590, 269, 8065, 8309, 1010, 1454, 32571, 1353, 267, 1284, 777, 976, 543, 2782, 11071, 538, 11193, 2342, 269, 8065, 7710, 519, 25465, 540, 1007, 9604, 883, 4108, 12485, 689, 519, 2085, 540, 519, 1279, 11312, 538, 519, 3735, 19412, 18818, 2540, 547, 519, 4367, 540, 519, 16537, 565, 538, 519, 31303, 7868, 1433, 6212, 267, 2705, 267, 593, 519, 20281, 540, 7399, 543, 7687, 602, 519, 1646, 540, 7784, 335, 32535, 9604, 6035, 547, 3864, 7952, 4971, 619, 563, 2026, 513, 9295, 1312, 547, 4108, 1686, 543, 547, 519, 1686, 540, 2029, 267, 713, 1433, 2488, 513, 3407, 5133, 269, 2334, 5133, 1223, 581, 2040, 4364, 909, 630, 531, 18464, 1487, 551, 1947, 264, 538, 519, 8360, 22524, 8817, 4720, 269, 5637, 519, 968, 332, 26090, 4838, 892, 543, 519, 968, 30516, 335, 32535, 4838, 2223, 547, 799, 519, 5449, 568, 1419, 24027, 267, 1265, 513, 1033, 847, 528, 538, 8065, 779, 1353, 540, 1883, 6370, 6386, 543, 741, 6935, 547, 16795, 6639, 1646, 538, 14049, 787, 269, 8065, 2953, 338, 5187, 2065, 3140, 6386, 602, 1224, 513, 5276, 11144, 5196, 1804, 14598, 802, 540, 942, 676, 6029, 721, 519, 811, 11821, 267, 3006, 20718, 267, 968, 10520, 845, 725, 892, 602, 7018, 538, 4108, 12485, 543, 4108, 4066, 563, 22818, 519, 1034, 1271, 540, 891, 14759, 3576, 1747, 538, 519, 6957, 18818, 2540, 269, 769, 7421, 621, 267, 8065, 6799, 721, 609, 513, 598, 1495, 5300, 281, 952, 7784, 335, 32535, 9604, 543, 10514, 1841, 7902, 538, 2342, 1282, 519, 1101, 3368, 540, 519, 2185, 18818, 2540, 267, 1946, 729, 621, 711, 2394, 519, 31303, 2540, 602, 891, 9604, 2968, 3844, 547, 13137, 286, 1261, 849, 2488, 721, 609, 519, 2626, 281, 621, 729, 10502, 538, 519, 968, 23437, 599, 892, 540, 519, 6957, 18818, 2540, 602, 865, 1454, 17634, 543, 1646, 3576, 1747, 269, 634, 4674, 547, 6451, 32205, 883, 840, 1410, 12371, 12331, 540, 6370, 543, 547, 7753, 741, 2930, 543, 22237, 7965, 3576, 1082, 23538, 543, 7140, 269, 7324, 891, 267, 8065, 17188, 2027, 3007, 547, 519, 13217, 906, 538, 7784, 335, 32535, 1818, 267, 12077, 267, 7784, 335, 32535, 779, 1646, 607, 513, 811, 22237, 543, 13387, 1587, 267, 543, 513, 811, 15409, 835, 269, 1452, 13217, 906, 267, 2705, 267, 616, 849, 13615, 547, 1496, 17484, 8525, 476, 16328, 316, 22524, 8817, 7835, 540, 7784, 1818, 3294, 269, 4258, 1653, 7784, 335, 32535, 4847, 585, 3677, 1532, 648, 267, 3476, 28994, 976, 267, 543, 519, 1646, 540, 1351, 940, 2553, 15469, 519, 2500, 14226, 540, 1007, 9376, 6127, 538, 1688, 18988, 25044, 563, 2252, 2696, 568, 538, 519, 3877, 267, 26450, 8065, 1590, 581, 513, 3909, 812, 269, 3571, 960, 568, 22125, 609, 3638, 543, 9867, 3877, 543, 4296, 269, 11569, 621, 568, 519, 1507, 5647, 267, 971, 607, 519, 1351, 2740, 7784, 335, 32535, 267, 547, 799, 646, 1034, 1419, 1463, 338, 1010, 3007, 607, 2348, 1082, 540, 519, 6574, 29298, 269, 1261, 669, 1938, 12206, 945, 960, 593, 2663, 5553, 585, 26471, 2360, 547, 7784, 335, 32535, 2029, 1510, 7282, 2933, 609, 519, 8792, 3157, 676, 799, 602, 2029, 3357, 547, 2927, 819, 269, 2755, 713, 568, 4023, 2614, 267, 8065, 779, 1378, 1990, 652, 585, 31278, 10124, 949, 4734, 891, 1360, 12206, 1869, 8288, 1359, 585, 513, 6626, 7650, 540, 519, 2175, 538, 799, 519, 1007, 29415, 540, 31303, 10601, 13137, 729, 6603, 563, 27860, 1227, 267, 1247, 8065, 1654, 515, 618, 569, 1727, 4680, 519, 21465, 4661, 676, 799, 2983, 32015, 26436, 13986, 547, 3715, 519, 968, 332, 26090, 4838, 892, 538, 519, 31303, 2540, 267, 646, 4667, 547, 3398, 26436, 779, 23350, 602, 602, 2540, 6719, 519, 10661, 540, 513, 2186, 540, 13137, 602, 1131, 581, 13736, 585, 519, 1985, 1079, 4627, 1296, 269, 769, 15260, 1068, 532, 519, 1909, 540, 10120, 2245, 543, 8051, 585, 3875, 2038, 6901, 609, 7784, 335, 32535, 13137, 267, 8065, 3006, 18923, 26342, 519, 2490, 540, 519, 2985, 689, 4376, 649, 1522, 21656, 607, 10120, 547, 4376, 649, 1522, 2161, 568, 3982, 569, 1114, 269, 2060, 513, 3046, 14141, 540, 12170, 2963, 543, 4121, 7058, 525, 267, 646, 4617, 839, 2038, 2413, 1235, 685, 18765, 602, 7784, 335, 32535, 7916, 3648, 2799, 519, 2450, 540, 20679, 3564, 1018, 621, 1185, 1044, 1354, 519, 3109, 20575, 269, 1261, 849, 13882, 519, 2856, 602, 519, 1007, 1884, 545, 27553, 4702, 538, 6830, 5874, 1705, 4376, 855, 556, 652, 28344, 513, 26106, 655, 622, 1063, 8878 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 899, 513, 25810, 269, 13773, 2476, 689, 9486, 267, 9885, 267, 543, 4376, 602, 29377, 5201, 267, 1519, 10260, 539, 11436, 267, 21818, 26892, 267, 543, 5122, 19093, 563, 19675, 594, 2490, 1055, 8279, 1282, 513, 19711, 10445, 888, 8133, 267, 621, 779, 1655, 547, 2490, 1055, 3388, 5907, 267, 1519, 8279, 269, 590, 5844, 1379, 1147, 2471, 949, 2049, 267, 799, 1223, 2014, 535, 4926, 547, 9514, 267, 14233, 547, 7985, 14796, 267, 543, 8279, 547, 16802, 563, 3674, 621, 2922, 547, 979, 3544, 1282, 513, 19711, 10445, 888, 5591, 267, 9205, 2127, 666, 581, 1360, 5906, 1282, 15420, 1813, 547, 12798, 267, 6360, 4220, 267, 543, 17500, 269, 1403, 596, 2461, 9575, 3544, 1282, 513, 19711, 10445, 267, 2057, 5275, 12062, 896, 4054, 267, 3343, 1970, 2666, 267, 543, 1810, 1406, 5905, 4376, 602, 29377, 5201, 563, 4692, 596, 8038, 538, 513, 19711, 10445, 888, 8133, 267, 14742, 666, 1491, 1055, 1282, 19711, 28323, 267, 855, 21804, 543, 2011, 6808, 4648, 786, 1118, 519, 3375, 1310, 10442, 519, 3106, 4220, 269, 5794, 680, 6951, 616, 2966, 547, 16641, 17500, 16716, 267, 855, 789, 786, 3335, 2119, 547, 2057, 10760, 2047, 883, 15420, 563, 4692, 596, 5279, 707, 6049, 1282, 513, 19711, 10445, 888, 5591, 267, 621, 779, 1655, 547, 711, 11690, 4376, 538, 610, 946, 1022, 5907, 267, 29040, 14233, 610, 3457, 1282, 513, 7088, 269, 901, 2882, 1591, 11436, 267, 24195, 267, 543, 14342, 269, 898, 779, 10930, 547, 7227, 2394, 1310, 519, 7088, 814, 5293, 547, 5279, 707, 3457, 563, 3674, 621, 5906, 547, 3802, 538, 513, 19711, 10445, 888, 8133, 267, 621, 666, 581, 269, 8752, 940, 666, 10880, 4376, 602, 568, 26339, 982, 922, 10450, 267, 1519, 1004, 269, 898, 779, 1655, 547, 1265, 12062, 607, 4166, 607, 2009, 543, 2057, 6972, 998, 2127, 609, 7555, 1216, 267, 607, 621, 666, 12404, 5906, 11935, 563, 1432, 1058, 594, 2490, 1055, 538, 513, 19711, 10445, 888, 31282, 1055, 543, 796, 680, 1872, 782, 5907, 3457, 267, 8279, 267, 543, 14233, 269, 901, 2882, 7641, 338, 267, 5904, 267, 10051, 14233, 267, 543, 1022, 824, 3457, 602, 616, 4448, 547, 606, 5122, 17752, 563, 4692, 513, 19711, 10445, 2014, 513, 28575, 888, 8133, 267, 14324, 29777, 1106, 1317, 540, 1804, 543, 4049, 19711, 28323, 269, 1358, 616, 3335, 2404, 609, 513, 1808, 1826, 540, 19711, 10445, 1572, 513, 2706, 3250, 563, 3674, 621, 2922, 547, 3207, 1282, 513, 19711, 10445, 888, 2026, 1279, 607, 596, 2461, 16280, 538, 513, 2922, 2230, 543, 723, 3144, 519, 1697, 15416, 267, 621, 1058, 581, 2922, 547, 3207, 269, 1717, 267, 621, 779, 513, 1434, 2856, 547, 723, 513, 1259, 547, 4309, 25887, 538, 2013, 540, 606, 6595, 267, 971, 607, 513, 4365, 5925, 610, 513, 16335, 813, 602, 666, 6494, 711, 5874, 563, 3674, 621, 5906, 547, 581, 3544, 538, 513, 19711, 10445, 888, 8133, 267, 9205, 2127, 616, 2760, 4628, 2922, 950, 15420, 616, 1472, 269, 1703, 779, 2141, 513, 1981, 540, 17500, 16716, 610, 2178, 12798, 4929, 7063, 543, 10913, 563, 1432, 547, 798, 538, 513, 4049, 19711, 10445, 4585, 888, 12648, 12062, 5612, 267, 2212, 547, 519, 32343, 4055, 538, 519, 2777, 630, 19668, 618, 610, 606, 20583, 2666, 6989, 4055, 1070, 2057, 11418, 267, 543, 7227, 585, 519, 7088, 547, 1780, 563, 3674, 621, 2922, 547, 5397, 1282, 513, 19711, 10445, 888, 2005, 5673, 269, 1411, 12582, 1406, 723, 547, 5855, 827, 17500, 16716, 607, 1279, 607, 596, 3251, 538, 519, 1286, 543, 1832, 519, 9486, 909, 267, 855, 2178, 12798, 543, 4057, 15287, 666, 1869, 1711, 5906, 6117, 2175, 269, 0, 347, 14197, 11870, 338, 9732, 634, 5295, 540, 26291, 2008, 347, 31086, 272, 18103, 2435, 1379, 540, 10350, 568, 602, 799, 676, 16495, 540, 519, 1876, 3294, 568, 7923, 547, 513, 2016, 5604, 282, 15518, 730, 1379, 568, 602, 799, 568, 11292, 547, 513, 1268, 824, 982, 998, 606, 5604, 563, 31086, 273, 18103, 2435, 1379, 540, 10350, 949, 581, 1697, 610, 18755, 13895, 563, 31086, 274, 2290, 945, 6811, 547, 723, 1044, 15518, 730, 814, 519, 593, 639, 540, 18445, 519, 15518, 566, 563, 17273, 6383, 538, 476, 271, 269, 9826, 277, 7643, 563, 2171, 2125, 924, 3009, 9736, 476, 1708, 271, 630, 300, 3951, 17821, 1040, 19405, 476, 273, 269, 278, 269, 273, 14174, 304, 0, 288, 1247, 3516, 649, 3370, 513, 4062, 11021, 602, 17605, 1522, 3771, 13118, 930, 4277, 26208, 538, 519, 6968, 585, 1007, 15084, 6878, 269, 630, 299, 7704, 476, 2537, 476, 276, 476, 2420, 264, 3767, 621, 4667, 602, 741, 4174, 701, 344, 30980, 267, 10987, 267, 1223, 2943, 2097, 547, 938, 15063, 607, 1134, 269, 9214, 323, 1043, 607, 621, 4667, 267, 9932, 949, 723, 15084, 3601, 269, 12824, 3366, 676, 7905, 15776, 13391, 650, 773, 693, 519, 2160, 540, 9315, 858, 616, 1631, 8362, 14236, 713, 7872, 269, 1656, 827, 942, 1932, 267, 649, 2161, 267, 1317, 519, 3510, 568, 4742, 865, 3983, 649, 10950, 1022, 11036, 267, 2705, 2484, 1922, 564, 3481, 621, 1522, 3100, 693, 1101, 16145, 269, 1924, 649, 4076, 3893, 1079, 5359, 13296, 596, 666, 1224, 811, 267, 835, 689, 519, 18917, 543, 835, 689, 519, 18763, 269, 22322, 763, 2078, 1063, 3425, 543, 9932, 7389, 1394, 5215, 540, 1296, 269, 4658, 941, 4440, 3775, 6883, 13520, 32105, 538, 519, 19232, 18070, 269, 1280, 513, 1279, 1247, 267, 519, 2078, 1063, 721, 543, 938, 18388, 532, 669, 4548, 729, 7361, 538, 11466, 269, 18786, 513, 1906, 5756, 3516, 267, 713, 4957, 267, 547, 519, 12808, 1033, 337, 2939, 540, 519, 10987, 269, 21661, 519, 1158, 267, 15949, 2471, 723, 1044, 678, 5792, 856, 269, 8187, 803, 27595, 3710, 936, 269, 2037, 768, 748, 9424, 540, 13802, 723, 1044, 10936, 539, 2066, 1799, 29342, 9092, 14143, 540, 2244, 7146, 723, 3141, 330, 538, 547, 3251, 269, 901, 814, 1185, 513, 14042, 1198, 593, 13520, 5095, 269, 1403, 596, 1616, 513, 1906, 5013, 267, 723, 513, 1413, 693, 713, 3095, 547, 14886, 540, 519, 3047, 476, 1656, 782, 538, 519, 1793, 777, 323, 1662, 267, 5778, 6776, 3406, 585, 2479, 2362, 2504, 9072, 267, 3977, 543, 2338, 269, 594, 3055, 8197, 952, 519, 3801, 547, 1711, 5763, 7475, 909, 21006, 1279, 2165, 1871, 269, 1284, 15475, 621, 779, 606, 2653, 12161, 547, 1118, 585, 519, 4990, 540, 1004, 945, 25657, 2724, 609, 5763, 563, 8133, 267, 649, 2461, 11216, 10889, 338, 593, 713, 5816, 269, 1809, 649, 14353, 519, 649, 2461, 711, 519, 1152, 3283, 945, 14353, 602, 519, 2067, 1158, 543, 519, 1919, 538, 621, 616, 513, 14951, 7708, 557, 540, 1483, 5763, 267, 593, 513, 4336, 602, 18498, 9040, 320, 543, 1010, 1870, 27498, 1223, 711, 2253, 547, 4952, 269, 5384, 547, 1376, 3206, 4111, 1836, 827, 621, 269, 2107, 568, 602, 1932, 1454, 547, 2307, 888, 258, 32048, 1948, 327, 2292, 1948, 1218, 1948, 656, 756, 8438, 4187, 1948, 656, 756, 7821, 1948, 25924, 1948, 8234, 0, 22296, 3386, 585, 4830, 946, 676, 519, 5467, 610, 538, 15360, 609, 513, 2385, 610, 4543, 3318, 267, 713, 23519, 2488, 17288, 11295, 2238, 543, 3232, 14751, 725, 269, 634, 2238, 4125, 11423, 538, 10145, 3515, 267, 5373, 513, 4605, 267, 610, 10992, 1055, 513, 1592, 538, 3210, 547, 17003, 2055, 269, 11762, 2039, 4922, 543, 948, 519, 7141, 5467, 1451, 547, 1174, 1018, 2635, 1582, 12635, 568, 267, 2708, 2318, 2798, 267, 13498, 519, 2959, 540, 1582, 2173, 612, 1137, 267, 2631, 2123, 4502, 267, 581, 14388, 1996, 9073, 267, 2057, 14432, 9236, 543, 32198, 267, 581, 8076, 267, 9305, 17602, 1836, 547, 1866, 543, 2486, 267, 3398, 2123, 7687, 267, 2697, 2123, 7375, 267, 12172, 13922, 543, 9909, 267, 13498, 2123, 2418, 543, 4978, 267, 543, 15357, 1644, 2994, 585, 1582, 21553, 2889, 22777, 563, 12041, 281, 23436, 5576, 629, 454, 2467, 616, 1100, 8039, 2943, 269, 0, 1432, 3657, 1858, 3009, 267, 1656, 4208, 14348, 1411, 21763, 2290, 888, 22704, 9479, 616, 606, 679, 7950, 547, 1034, 1004, 269, 1284, 2461, 711, 4010, 1858, 3009, 2386, 1018, 789, 798, 610, 1946, 649, 991, 873, 267, 855, 649, 917, 789, 2461, 1271, 269, 901, 5816, 2022, 786, 2263, 519, 1858, 9479, 543, 1946, 596, 991, 835, 269, 3245, 972, 267, 649, 3580, 2285, 513, 1906, 1806, 540, 1946, 2348, 606, 1858, 3009, 568, 1271, 269, 12693, 454, 1432, 3657, 267, 1858, 8943, 267, 1656, 4208, 14348, 1411, 21763, 2290, 888, 22704, 9479, 616, 513, 1062, 15146, 7426, 946, 547, 7941, 519, 2197, 883, 4130, 4525, 269, 9351, 9479, 941, 7620, 2966, 547, 4688, 2724, 1858, 3009, 593, 1279, 26591, 7125, 267, 855, 789, 723, 2094, 1831, 606, 1898, 851, 540, 519, 26313, 5251, 563, 7197, 1858, 9479, 616, 6896, 883, 1614, 10851, 281, 3345, 3013, 267, 2342, 267, 543, 519, 1964, 540, 519, 1158, 269, 3962, 7997, 568, 5258, 883, 1079, 610, 811, 2338, 269, 1280, 1383, 267, 519, 1858, 3009, 585, 6115, 267, 667, 5861, 1421, 568, 476, 1708, 269, 634, 1101, 1297, 538, 513, 3135, 568, 18385, 8655, 547, 519, 2197, 779, 7187, 3368, 630, 324, 3052, 1421, 476, 1708, 14687, 547, 8832, 9098, 1040, 769, 4334, 267, 519, 2034, 1297, 538, 513, 7997, 568, 2016, 547, 519, 2197, 779, 7013, 3368, 630, 324, 3052, 1421, 476, 1708, 14687, 547, 8828, 15930, 1040, 634, 6967, 2338, 538, 606, 1858, 616, 1287, 8655, 2687, 547, 10923, 4087, 630, 324, 3052, 1421, 476, 10711, 4748, 547, 3844, 9098, 1916, 5278, 13664, 2127, 949, 711, 723, 1022, 1858, 9479, 630, 324, 3052, 1421, 14522, 1040, 769, 891, 2665, 267, 15146, 7426, 786, 946, 835, 540, 8370, 6237, 18772, 525, 3079, 630, 328, 4318, 1421, 476, 7176, 280, 585, 14522, 1916, 22704, 9479, 941, 7620, 1152, 2877, 585, 1279, 26591, 7125, 282, 2221, 267, 789, 616, 1031, 585, 2199, 543, 1279, 26591, 7125, 269, 3509, 27215, 7709, 2533, 1631, 946, 1858, 9479, 865, 5561, 666, 3866, 856, 1256, 952, 789, 1810, 1406, 723, 513, 2244, 1467, 6049, 3028, 8502, 630, 7945, 607, 4787, 4286, 1916, 1432, 3657, 519, 12729, 21964, 540, 1858, 3009, 888, 22704, 9479, 616, 1898, 585, 15146, 3028, 269, 1358, 616, 519, 1297, 547, 948, 1858, 3009, 547, 8905, 7125, 18487, 543, 5001, 269, 3962, 1858, 3009, 568, 5258, 883, 1896, 7857, 7161, 8655, 547, 1367, 17521, 610, 4525, 269, 1879, 596, 3866, 513, 1297, 267, 707, 6049, 1569, 525, 519, 3617, 3625, 540, 519, 1858, 3009, 269, 901, 2337, 2327, 602, 596, 3914, 519, 1268, 596, 616, 3843, 547, 1289, 267, 1256, 952, 789, 4755, 547, 581, 538, 513, 1114, 851, 540, 519, 2197, 610, 1158, 563, 5194, 946, 585, 1858, 9479, 568, 15682, 6351, 269, 1403, 596, 1810, 1406, 917, 2576, 779, 6049, 1297, 267, 596, 666, 1413, 621, 909, 538, 519, 15682, 543, 1294, 952, 621, 568, 1369, 606, 1858, 3009, 269, 901, 568, 2523, 5363, 952, 596, 1810, 1406, 723, 513, 1870, 3556, 610, 1616, 547, 1832, 707, 2123, 1344, 4357, 563, 1692, 1684, 9351, 32011, 4518, 888, 22704, 9479, 941, 7620, 2813, 538, 519, 2038, 2395, 540, 15146, 3028, 547, 1832, 3950, 540, 7125, 269, 1879, 1004, 1131, 1289, 1142, 824, 267, 519, 11346, 1185, 547, 2594, 799, 1858, 3009, 789, 941, 538, 865, 1352, 1223, 8905, 519, 8258, 7157, 563, 9213, 267, 1858, 9479, 616, 1869, 1031, 547, 1832, 3950, 540, 7125, 855, 849, 538, 23332, 8613, 543, 5925, 6786, 269, 769, 1840, 267, 1858, 9479, 616, 1031, 950, 1004, 1616, 547, 1265, 856, 519, 6049, 1297, 540, 513, 1870, 610, 1367, 538, 513, 1880, 1858, 563, 1432, 3657, 519, 12186, 540, 513, 7827, 538, 606, 9351, 8943, 888, 22704, 9479, 616, 519, 15146, 27766, 585, 13664, 4525, 1369, 513, 2197, 269, 634, 1101, 1297, 538, 606, 1858, 3009, 568, 8655, 547, 519, 1858, 779, 4102, 2749, 267, 543, 519, 6967, 9704, 616, 8655, 1759, 593, 2551, 2450, 269, 1280, 519, 3732, 267, 519, 4087, 3009, 585, 1715, 3840, 4975, 568, 476, 18891, 269, 9351, 9479, 941, 2813, 865, 602, 1004, 1223, 3362, 3866, 2199, 6049, 2338, 1510, 19551, 2789, 15146, 2338, 585, 1142, 2749, 789, 941, 10912, 563, 3086, 12997, 267, 2705, 267, 1858, 9479, 616, 1152, 1031, 676, 4213, 543, 2229, 8041, 547, 8905, 7125, 269, 4107, 2043, 945, 9585, 2154, 610, 8415, 873, 15042, 269, 1403, 707, 6049, 1297, 2242, 267, 596, 3580, 991, 547, 1205, 1007, 6049, 2835, 543, 2327, 596, 723, 519, 1007, 1858, 3009, 7396 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15430, 1041, 6096, 7822, 1635, 7089, 666, 11338, 4196, 607, 31452, 950, 2798, 2196, 856, 1747, 267, 2436, 621, 779, 538, 519, 4928, 267, 538, 707, 1753, 267, 610, 538, 707, 1360, 1378, 2247, 269, 4635, 513, 4976, 666, 5351, 596, 7618, 593, 707, 1378, 540, 1018, 596, 723, 547, 798, 1739, 950, 596, 1294, 602, 972, 568, 513, 12161, 1500, 269, 6096, 616, 849, 9735, 585, 1443, 2358, 1453, 540, 1919, 789, 723, 2907, 4121, 269, 589, 4976, 666, 7618, 596, 3823, 2979, 3741, 596, 4076, 2907, 4988, 267, 610, 5351, 596, 3314, 4245, 602, 596, 1616, 547, 1265, 856, 1586, 269, 1306, 606, 3063, 4324, 267, 3211, 666, 1599, 607, 513, 1797, 547, 18663, 3214, 547, 3251, 909, 547, 4266, 609, 741, 1378, 9872, 960, 269, 13298, 982, 7836, 513, 2603, 942, 593, 1169, 3992, 267, 596, 666, 3274, 2322, 1524, 513, 23519, 607, 1134, 607, 1577, 873, 1491, 1416, 540, 519, 14230, 269, 1635, 3257, 713, 267, 789, 3580, 581, 2111, 547, 1445, 593, 741, 1360, 1378, 6780, 3079, 563, 292, 6470, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 772, 22744, 539, 676, 18014, 6096, 538, 7121, 18014, 6096, 563, 8450, 849, 2051, 1941, 13246, 772, 3387, 20255, 1923, 15206, 16974, 9664, 689, 18014, 6096, 13445, 563, 2080, 649, 723, 1776, 3239, 4569, 6096, 1280, 8866, 5131, 15026, 18014, 16974, 12286, 896, 14168, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 269, 1284, 4126, 596, 10150, 621, 543, 952, 596, 1616, 547, 4647, 519, 5961, 538, 1164, 2298, 267, 3274, 1318, 4945, 519, 3239, 543, 3442, 834, 24591, 1306, 2668, 8729, 585, 2542, 14168, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 269, 0, 291, 20986, 540, 7556, 15657, 540, 667, 262, 288, 2102, 726, 4548, 1210, 519, 28060, 10110, 766, 4994, 454, 763, 6662, 8990, 540, 519, 6099, 7556, 4266, 585, 726, 4548, 5497, 2901, 585, 4853, 4393, 610, 585, 4616, 607, 4195, 4829, 568, 513, 4909, 6161, 540, 519, 4829, 2872, 269, 589, 15409, 7298, 14672, 792, 18342, 630, 14106, 21610, 7644, 264, 4715, 14029, 8084, 3926, 729, 1031, 547, 4990, 667, 262, 288, 2102, 726, 4548, 19122, 1472, 519, 2757, 5010, 7556, 4266, 269, 634, 28060, 10110, 766, 4994, 729, 1336, 547, 581, 5827, 540, 5302, 2958, 908, 726, 4548, 883, 5049, 540, 15657, 2687, 547, 1585, 9830, 540, 19729, 17571, 543, 4829, 13496, 588, 1066, 724, 339, 2418, 269, 29759, 609, 513, 28060, 10110, 766, 4994, 1871, 540, 1447, 982, 476, 272, 269, 6795, 4951, 1100, 3604, 538, 17145, 6109, 1145, 269, 1773, 4548, 19122, 609, 28060, 10110, 766, 4994, 2418, 540, 476, 272, 269, 736, 268, 272, 269, 3066, 1185, 513, 4829, 13496, 588, 1066, 724, 339, 540, 476, 272, 269, 1839, 715, 543, 513, 19729, 17571, 5834, 540, 476, 2537, 269, 274, 10065, 5637, 540, 891, 2418, 5330, 547, 7850, 29676, 585, 16276, 726, 4548, 585, 4853, 5301, 269, 634, 28060, 10110, 766, 4994, 949, 581, 3407, 538, 3850, 519, 8446, 540, 1164, 7779, 726, 4548, 2901, 585, 4195, 4616, 610, 4853, 4393, 269, 0, 12441, 14088, 3717, 12428, 5771, 888, 15404, 32093, 1294, 14088, 607, 519, 1101, 7332, 267, 607, 519, 20845, 2829, 602, 782, 519, 11330, 515, 1206, 840, 3737, 519, 1482, 5132, 540, 5771, 630, 288, 32106, 281, 12168, 354, 25078, 12022, 8294, 14534, 267, 2048, 8138, 3939, 685, 630, 1729, 2696, 264, 1916, 3849, 600, 538, 5771, 563, 19064, 1886, 2867, 30379, 378, 384, 478, 17043, 12168, 351, 21333, 14534, 14088, 2008, 347, 15447, 333, 585, 1475, 5575, 1480, 1373, 2008, 347, 14399, 1475, 295, 629, 383, 377, 331, 1627, 629, 383, 377, 331, 1744, 383, 377, 628, 630, 20901, 8294, 24220, 18716, 12022, 2073, 28405, 8294, 24220, 18716, 12022, 267, 12168, 368, 30234, 18716, 404, 360, 10245, 8489, 616, 14088, 543, 18832, 12617, 888, 763, 13946, 540, 7557, 335, 601, 1695, 267, 538, 519, 4639, 7813, 2749, 540, 1261, 321, 1258, 267, 568, 519, 19746, 1747, 540, 519, 4223, 686, 1105, 338, 543, 24686, 1105, 338, 281, 14062, 267, 21469, 267, 15243, 267, 8861, 267, 31929, 267, 543, 2274, 1695, 269, 4340, 547, 6014, 25386, 2245, 267, 621, 779, 849, 519, 13675, 547, 519, 12567, 540, 3798, 523, 1141, 14088, 543, 18832, 616, 12617, 563, 3674, 589, 18769, 545, 1869, 9275, 888, 288, 18769, 545, 568, 1869, 9275, 676, 16559, 2950, 540, 7642, 267, 13495, 2801, 753, 543, 930, 10271, 269, 9540, 2516, 540, 1004, 1869, 3717, 589, 18769, 545, 538, 1114, 2694, 540, 519, 5664, 5101, 269, 2560, 4653, 267, 1063, 476, 4335, 267, 1822, 543, 476, 25616, 267, 1822, 1004, 3717, 589, 18769, 545, 4654, 563, 2710, 782, 6259, 2477, 3717, 12428, 888, 288, 32106, 538, 2477, 609, 811, 982, 476, 2004, 260, 12428, 6741, 5474, 568, 2808, 513, 5354, 1893, 267, 6382, 621, 568, 513, 12102, 1893, 563, 306, 30371, 793, 2829, 1141, 12428, 568, 606, 4013, 1893, 563, 347, 24687, 1475, 10870, 27984, 24810, 1893, 267, 2059, 609, 7137, 828, 2008, 23277, 1897, 1533, 540, 519, 6259, 13477, 1475, 8133, 2008, 3674, 12428, 513, 4666, 1893, 888, 763, 12428, 1893, 568, 9444, 4666, 267, 6862, 12955, 269, 2560, 4653, 267, 12428, 568, 9275, 607, 519, 4013, 543, 3084, 1893, 538, 1896, 2477, 538, 543, 1472, 519, 5664, 5101, 1107, 1519, 519, 26768, 18686, 543, 1896, 8832, 3979, 2477, 563, 1432, 779, 519, 1101, 1893, 538, 519, 1158, 888, 2026, 2484, 607, 519, 1158, 6785, 267, 16130, 11542, 607, 519, 1101, 9275, 1893, 1317, 621, 18584, 607, 1394, 607, 476, 4335, 271, 7460, 269, 1715, 1344, 6920, 602, 4352, 16130, 568, 1851, 519, 9510, 9275, 4654, 267, 20474, 7389, 1394, 2417, 269, 20474, 7389, 607, 2484, 1394, 607, 476, 12573, 7460, 1765, 4103, 899, 519, 2048, 1320, 13083, 1952, 12011, 600, 16224, 606, 3504, 6648, 267, 1796, 607, 2963, 563, 1432, 1614, 4654, 1705, 4906, 888, 1103, 1840, 547, 589, 18769, 545, 543, 12355, 267, 5259, 543, 5824, 941, 849, 1455, 538, 4906, 685, 942, 269, 2991, 12138, 519, 4279, 779, 21037, 540, 27859, 543, 519, 1964, 540, 519, 14655, 7276, 538, 519, 8772, 2540, 645, 5861, 1421, 5259, 5486, 5896, 824, 10209, 1132, 607, 519, 4013, 1893, 538, 1454, 540, 519, 3148, 269, 0, 288, 11800, 1177, 568, 513, 3532, 1907, 602, 666, 1118, 2656, 960, 540, 14299, 4771, 3574, 269, 1717, 267, 952, 596, 723, 513, 10605, 20447, 267, 1210, 513, 11800, 1177, 568, 711, 5227, 269, 634, 2601, 585, 713, 568, 602, 519, 13590, 2361, 630, 4932, 293, 264, 19501, 676, 519, 11800, 1177, 666, 15936, 609, 519, 8647, 540, 707, 10605, 20447, 563, 1607, 666, 2014, 707, 2295, 547, 10726, 12150, 569, 610, 1256, 3247, 15587, 269, 2755, 972, 723, 1044, 1100, 5359, 540, 713, 8345, 267, 621, 568, 1869, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 1210, 513, 11800, 1177, 952, 596, 723, 513, 10605, 20447, 563, 8794, 5600, 3835, 27294, 609, 606, 1955, 680, 5896, 623, 864, 20447, 270, 2975, 291, 269, 5082, 11424, 13779, 630, 4932, 296, 264, 6045, 454, 268, 1403, 596, 723, 513, 10605, 20447, 267, 596, 666, 1869, 946, 513, 11800, 1177, 454, 268, 3371, 616, 513, 1906, 4388, 593, 875, 547, 9108, 946, 513, 11800, 1177, 609, 513, 10605, 20447, 281, 476, 272, 454, 268, 5192, 24999, 689, 707, 4387, 1354, 1210, 513, 11800, 1177, 454, 268, 23203, 2123, 8825, 3937, 267, 1519, 17309, 267, 575, 17344, 956, 267, 543, 1274, 4027, 454, 268, 2142, 3222, 540, 707, 10450, 543, 2057, 1210, 519, 11800, 1177, 2282, 1379, 3515, 610, 824, 5122, 10898, 454, 268, 7427, 519, 10672, 779, 5528, 585, 2922, 5106, 540, 519, 11800, 1177, 454, 4692, 1411, 2422, 5295, 13088, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 1379, 2645, 269, 634, 2626, 568, 9811, 267, 538, 1034, 2665, 269, 1717, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 563, 5575, 267, 1118, 2386, 519, 1379, 1907, 568, 5265, 16135, 269, 901, 786, 948, 2569, 519, 1981, 540, 5122, 8710, 269, 5822, 267, 2057, 1210, 1379, 2645, 602, 1711, 2178, 6419, 4610, 563, 4322, 666, 15936, 609, 519, 8647, 540, 707, 10605, 20447, 269, 12059, 267, 5077, 707, 4387, 952, 596, 723, 1022, 4145, 827, 1210, 1379, 2645, 609, 707, 10605, 20447, 563, 28830, 1411, 2052, 685, 307, 1684, 2060, 513, 623, 864, 20447, 454, 288, 10605, 20447, 568, 513, 1507, 3926, 602, 2337, 547, 1852, 707, 26470, 269, 898, 568, 2356, 5116, 896, 519, 2960, 593, 519, 9221, 543, 814, 12904, 602, 979, 547, 519, 2295, 269, 589, 10605, 20447, 666, 581, 1031, 952, 596, 723, 606, 12150, 26470, 610, 952, 707, 2295, 2557, 568, 1932, 3500, 563, 2467, 616, 930, 1919, 602, 596, 3112, 798, 609, 513, 10605, 20447, 269, 1411, 3112, 1205, 606, 18909, 630, 332, 8568, 16982, 9196, 264, 11571, 609, 513, 10605, 20447, 269, 901, 568, 1317, 519, 18909, 3684, 3096, 2178, 22197, 543, 621, 1223, 15936, 609, 875, 707, 10605, 20447, 1568, 563, 2791, 849, 1058, 711, 723, 5122, 8710, 3797, 609, 513, 10605, 20447, 269, 901, 568, 1317, 519, 5122, 28654, 1223, 3441, 707, 10605, 20447, 610, 3247, 621, 689, 2324, 5265, 269, 1403, 596, 991, 547, 723, 6391, 267, 2995, 707, 4387, 6619, 540, 942, 602, 596, 723, 513, 10605, 20447, 865, 789, 666, 1491, 2027, 15416, 563, 5278, 824, 1919, 547, 1832, 538, 2247, 281, 623, 864, 16234, 616, 711, 2141, 8628, 269, 1411, 949, 991, 547, 723, 621, 8719, 1310, 476, 276, 268, 1015, 1296, 1813, 547, 6007, 1272, 610, 824, 4128, 269, 2142, 2386, 547, 1832, 1246, 5346, 20499, 609, 707, 6315, 6048, 865, 789, 666, 2638, 593, 875, 707, 3926, 568, 2324, 543, 1118, 1022, 2556, 2242, 563, 4692, 594, 2422, 513, 681, 4575, 4521, 333, 631, 1077, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 513, 14964, 15989, 544, 1077, 269, 634, 2110, 2626, 568, 9811, 267, 596, 666, 946, 513, 14964, 15989, 544, 1077, 609, 513, 10605, 20447, 269, 1717, 267, 972, 616, 513, 1906, 1919, 596, 991, 547, 1832, 538, 2247, 547, 2327, 707, 3106, 1247, 5665, 519, 15989, 544, 1077, 563, 5575, 267, 2141, 5077, 609, 707, 10629, 1354, 1210, 1022, 1826, 540, 12227, 610, 3937, 952, 596, 723, 513, 10605, 20447, 269, 1358, 786, 581, 2111, 547, 2285, 596, 1808, 5528, 593, 875, 547, 9108, 7500, 519, 15989, 544, 1077, 269, 5822, 267, 1118, 2386, 519, 1858, 1141, 596, 3580, 581, 1210, 519, 15989, 544, 1077, 568, 1863, 540, 11935, 543, 9465, 563, 1607, 786, 948, 2061, 23139, 27894, 610, 795, 565, 1206, 602, 1223, 7519, 707, 10605, 20447, 779, 1599, 269, 12059, 267, 1491, 3063, 1416, 950, 3478, 593, 543, 1055, 519, 15989, 544, 1077, 269, 2142, 2386, 547, 1246, 707, 4387, 779, 5528, 593, 875, 547, 9108, 2990, 3054, 1247, 5665, 519, 12227, 563, 3528, 1739, 891, 2241, 4388, 267, 596, 666, 9108, 946, 513, 14964, 15989, 544, 1077, 609, 513, 10605, 20447, 1510, 8380, 3054, 693, 1981, 563, 4692, 1411, 2422, 606, 11272, 681, 1794, 528, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 606, 3167, 986, 345, 528, 269, 634, 2626, 568, 9811, 256, 11272, 986, 345, 832, 616, 9985, 2922, 547, 946, 609, 513, 10605, 20447, 563, 2467, 616, 1100, 4220, 2404, 609, 1210, 606, 3167, 986, 345, 528, 543, 513, 10605, 20447, 269, 1924, 979, 6619, 543, 695, 1511, 2476, 2336, 4692, 1411, 2422, 606, 11272, 29392, 20815, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 606, 3167, 28750, 269, 634, 2110, 2626, 568, 9811, 267, 596, 666, 946, 606, 3167, 28750, 609, 513, 10605, 20447, 269, 1717, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 563, 5575, 267, 621, 779, 1271, 547, 5077, 609, 707, 6315, 6048, 610, 10605, 20447, 11285, 1354, 1210, 606, 3167, 28750, 269, 1358, 666, 2285, 596, 1808, 5528, 1759, 593, 707, 1367, 3510, 269, 5822, 267, 950, 1210, 606, 3167, 28750, 267, 581, 2386, 547, 3180, 519, 11453, 2212, 2476, 689, 707, 9221, 563, 1607, 786, 948, 2057, 1022, 13779, 609, 707, 10605, 20447, 269, 12059, 267, 2141, 1246, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6556, 630, 4811, 312, 264, 729, 3254, 676, 519, 476, 6344, 544, 29503, 9544, 538, 3731, 3019, 7693, 269, 22702, 547, 519, 2757, 476, 2568, 4699, 6306, 2582, 4737, 9544, 4806, 267, 476, 6344, 4699, 29503, 9544, 4951, 909, 547, 476, 275, 269, 4097, 267, 476, 1321, 269, 1321, 267, 476, 279, 269, 8287, 267, 476, 6246, 269, 1240, 267, 543, 476, 5655, 269, 10037, 260, 2333, 538, 2030, 4463, 267, 29647, 8006, 267, 29647, 3259, 267, 14662, 312, 267, 543, 570, 306, 312, 267, 6606, 563, 274, 269, 274, 269, 30766, 559, 962, 1752, 454, 289, 8344, 11729, 267, 6079, 11729, 267, 543, 7556, 4994, 781, 1797, 540, 21378, 559, 17685, 549, 5529, 609, 10931, 2117, 2033, 896, 1114, 9544, 3270, 4951, 1713, 3604, 1851, 2933, 630, 8368, 476, 275, 1040, 30766, 559, 7693, 521, 1144, 4805, 538, 476, 1789, 4699, 6306, 9343, 3812, 3648, 2362, 6211, 543, 6079, 11729, 982, 824, 9544, 3270, 538, 1312, 476, 1001, 274, 268, 1001, 275, 543, 476, 1001, 275, 268, 1001, 276, 1296, 269, 1717, 267, 21378, 559, 17685, 1886, 5340, 1732, 950, 521, 1144, 2059, 609, 476, 6344, 4699, 29503, 12630, 10931, 2117, 2033, 267, 607, 621, 3812, 3648, 2362, 6211, 543, 6079, 11729, 267, 799, 941, 476, 30640, 260, 543, 476, 29204, 260, 2362, 267, 6606, 267, 982, 519, 9803, 11729, 6592, 609, 519, 21378, 559, 17685, 549, 5529, 538, 476, 3393, 4699, 8486, 9544, 269, 6684, 267, 519, 7556, 4994, 630, 26980, 264, 540, 21378, 559, 729, 3648, 3152, 538, 476, 6344, 4699, 29503, 9544, 3379, 547, 1866, 267, 1519, 519, 21378, 559, 6852, 9544, 1505, 538, 476, 1001, 274, 268, 1001, 275, 269, 769, 476, 1001, 275, 268, 1001, 276, 267, 476, 6344, 4699, 29503, 9544, 1185, 513, 2147, 31254, 607, 21378, 559, 4805, 267, 855, 1312, 540, 873, 941, 3648, 3152, 982, 824, 9544, 3270, 269, 634, 6476, 540, 2244, 6697, 12753, 630, 299, 2207, 264, 7229, 689, 1114, 10931, 2117, 2033, 2000, 550, 559, 17685, 549, 6137, 22762, 1845, 630, 8368, 476, 275, 264, 7000, 602, 476, 6344, 4699, 29503, 9544, 609, 2185, 9343, 540, 21378, 559, 17685, 1886, 25189, 3648, 2362, 700, 2207, 2418, 630, 272, 269, 2412, 543, 476, 272, 269, 4391, 1282, 5186, 6137, 12405, 476, 1001, 274, 268, 1001, 275, 543, 476, 1001, 275, 268, 1001, 276, 267, 6606, 264, 982, 782, 824, 9544, 3270, 563, 274, 269, 275, 269, 9483, 5811, 454, 303, 1601, 4601, 267, 7607, 607, 1134, 607, 9772, 1464, 540, 606, 17685, 549, 6137, 1062, 616, 6038, 5462, 676, 741, 2121, 13075, 2744, 269, 9122, 593, 3328, 2121, 2361, 2640, 689, 1312, 2030, 543, 3731, 3019, 7693, 267, 519, 5207, 29458, 289, 540, 12652, 269, 476, 5392, 272, 3583, 274, 270, 3873, 729, 1336, 538, 476, 6344, 4699, 29503, 9544, 1341, 21378, 559, 17685, 549, 6137, 267, 6466, 519, 5934, 29458, 289, 540, 12652, 269, 476, 23714, 4649, 280, 270, 3873, 729, 6592, 538, 476, 2568, 4699, 2582, 9343, 9544, 1341, 21378, 559, 269, 15788, 267, 2362, 2121, 2361, 2640, 941, 5833, 950, 21378, 559, 729, 17685, 549, 5529, 538, 10931, 2117, 2033, 269, 634, 1732, 1267, 540, 519, 476, 6344, 4699, 29503, 609, 21378, 559, 17685, 549, 6137, 1522, 581, 1813, 547, 811, 21378, 559, 2030, 2551, 950, 521, 1144, 538, 1063, 519, 8900, 5624, 607, 3379, 547, 8486, 9544, 281, 476, 2568, 4699, 2582, 4737, 9544, 610, 476, 3445, 4699, 5595, 4737, 9544, 269, 19105, 1239, 593, 2121, 2132, 540, 1312, 2030, 543, 3731, 3019, 7031, 540, 10931, 2117, 2033, 616, 4843, 538, 7305, 476, 276, 269, 26228, 2121, 2132, 540, 12652, 269, 476, 25834, 22724, 270, 3873, 729, 6592, 538, 476, 6344, 4699, 29503, 9544, 609, 21378, 559, 607, 606, 17685, 1886, 282, 2705, 267, 519, 5934, 2121, 2132, 540, 12652, 269, 476, 15171, 8099, 270, 3873, 729, 7074, 538, 476, 2568, 4699, 2582, 9343, 9544, 1341, 21378, 559, 563, 763, 2164, 540, 7460, 305, 616, 4843, 538, 7305, 476, 276, 269, 19105, 1239, 593, 7460, 305, 540, 1312, 2030, 543, 3731, 3019, 7031, 540, 10931, 2117, 2033, 616, 4843, 538, 7305, 476, 276, 269, 26228, 7460, 305, 630, 273, 269, 4905, 264, 729, 6592, 538, 476, 6344, 4699, 29503, 9544, 609, 21378, 559, 607, 606, 17685, 1886, 282, 2705, 267, 519, 2547, 7460, 305, 630, 272, 269, 2004, 264, 729, 7074, 538, 476, 2568, 4699, 6306, 2582, 4737, 9544, 1341, 21378, 559, 269, 15788, 267, 519, 5021, 7460, 305, 2418, 941, 8947, 538, 782, 5574, 540, 3731, 3019, 7693, 267, 1317, 1100, 521, 12976, 543, 11489, 720, 4238, 941, 5645, 856, 602, 6038, 8507, 538, 513, 5786, 540, 519, 2949, 1942, 540, 2504, 563, 7712, 519, 2121, 2361, 2640, 616, 711, 519, 3803, 7355, 585, 16252, 547, 519, 6705, 267, 519, 8589, 2079, 729, 2944, 547, 9959, 519, 1034, 19311, 10931, 2117, 2033, 17685, 549, 6137, 1062, 269, 634, 17282, 2079, 568, 2016, 538, 7305, 476, 276, 269, 9122, 593, 1079, 4458, 3328, 1239, 267, 10931, 2117, 2033, 9544, 2409, 630, 314, 303, 16553, 269, 1321, 3910, 1496, 303, 16553, 269, 1724, 3910, 1496, 303, 16553, 269, 274, 3910, 1496, 303, 16553, 269, 1015, 3910, 1496, 303, 16553, 269, 273, 3910, 1496, 303, 16553, 269, 280, 3910, 1496, 303, 16553, 269, 272, 3910, 543, 1496, 303, 16553, 269, 279, 8079, 23384, 17282, 2079, 269, 8409, 5574, 602, 941, 9896, 607, 834, 291, 257, 538, 519, 17282, 2079, 941, 711, 5697, 585, 8589, 2079, 269, 634, 2164, 540, 10931, 2117, 2033, 2000, 550, 559, 17685, 549, 6137, 1949, 723, 1044, 4330, 538, 7305, 476, 276, 269, 9122, 593, 606, 3328, 19182, 305, 267, 519, 5021, 630, 1626, 267, 3445, 273, 8472, 1871, 729, 5833, 689, 476, 6344, 4699, 29503, 9544, 563, 11328, 23145, 6137, 540, 513, 1850, 2541, 7693, 538, 10931, 2117, 2033, 568, 25368, 607, 621, 10607, 519, 2208, 543, 6556, 540, 1312, 7031, 676, 7393, 519, 3037, 8770, 9115, 543, 2640, 519, 15451, 2551, 1547, 1717, 267, 519, 3903, 540, 5078, 10931, 2117, 2033, 9544, 4806, 585, 14577, 17685, 1886, 547, 2721, 5021, 2804, 4324, 568, 1271, 1547, 634, 1459, 1353, 4951, 1713, 8390, 538, 2208, 267, 10931, 2117, 2033, 6556, 6724, 267, 543, 2698, 4006, 6556, 10305, 540, 10931, 2117, 2033, 521, 1144, 2059, 609, 21378, 559, 17685, 1886, 269, 7352, 1464, 538, 700, 9590, 540, 10931, 2117, 2033, 538, 1114, 9544, 3270, 729, 607, 8282, 547, 4756, 2030, 2551, 543, 8244, 540, 7509, 267, 5567, 267, 6099, 2837, 267, 543, 513, 3130, 269, 634, 3152, 700, 9590, 540, 10931, 2117, 2033, 521, 1144, 538, 476, 6344, 4699, 29503, 9544, 270, 3393, 4699, 8486, 9544, 3379, 547, 824, 2409, 1223, 581, 1813, 547, 811, 2030, 2551, 543, 1732, 6978, 1646, 269, 1452, 4681, 616, 538, 6876, 609, 1346, 540, 2073, 945, 4080, 1713, 2242, 538, 700, 9590, 1813, 547, 17685, 549, 6137, 538, 10931, 2117, 2033, 269, 634, 3017, 538, 700, 4696, 1851, 1585, 9544, 3270, 729, 1813, 547, 519, 8390, 538, 700, 9590, 6913, 607, 513, 1267, 540, 13345, 540, 2200, 538, 1114, 9544, 3270, 282, 538, 930, 4574, 1496, 3451, 267, 4097, 3910, 621, 729, 849, 7074, 602, 1114, 9544, 3270, 1185, 1713, 2360, 593, 700, 4696, 540, 10931, 2117, 2033, 7693, 563, 14294, 881, 14688, 2362, 595, 16165, 538, 6852, 10931, 2117, 2033, 630, 17092, 264, 1522, 581, 1813, 547, 1447, 6735, 585, 1863, 1604, 267, 543, 811, 8244, 540, 5567, 543, 2230, 602, 6038, 3366, 547, 513, 1134, 31465, 3597, 1062, 269, 589, 2620, 3597, 1062, 2488, 8770, 543, 7509, 8244, 585, 2371, 269, 634, 1657, 8753, 616, 20083, 609, 519, 1346, 540, 2073, 945, 4080, 811, 595, 16165, 540, 6852, 10931, 2117, 2033, 12630, 693, 17784, 4737, 17446, 982, 17685, 28979, 269, 634, 8390, 538, 715, 2752, 896, 1114, 5574, 1522, 581, 607, 8282, 547, 8390, 538, 700, 9590, 630, 8201, 476, 277, 1070, 700, 4696, 630, 8201, 476, 275, 1070, 2504, 540, 2698, 3819, 2339, 630, 8201, 476, 278, 1070, 543, 595, 16165, 630, 8201, 476, 276, 1040, 7352, 1464, 538, 519, 2504, 540, 2698, 3819, 2339, 540, 10931, 2117, 2033, 538, 1114, 9544, 3270, 729, 607, 8282, 547, 13260, 538, 2030, 2551, 267, 17685, 1886, 6735, 267, 543, 8244, 540, 1114, 3484, 2200, 563, 24868, 1464, 538, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 316, 729, 7654, 1813, 547, 3507, 894, 1198, 540, 2799, 8770, 10333, 267, 1732, 2011, 10009, 543, 954, 4003, 540, 1769, 602, 8507, 538, 4389, 9496, 9019, 543, 1732, 2208, 540, 29647, 1813, 547, 1732, 13345, 540, 3484, 11378, 269, 1323, 2333, 538, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 316, 585, 6852, 10931, 2117, 2033, 1223, 581, 7654, 1813, 547, 513, 2362, 1297, 540, 11489, 619, 270, 314, 332, 4732, 1575, 269, 273, 4940, 5381, 2164, 9672, 676, 1496, 3607, 268, 4343, 3910, 945, 4080, 513, 1713, 16160, 1198, 540, 13274, 23092, 267, 28401, 267, 620, 325, 2788, 320, 267, 543, 30011, 593, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 4940, 1452, 2164, 616, 849, 538, 1899, 609, 1346, 540, 1547, 634, 8390, 538, 2030, 4463, 896, 1114, 5574, 1522, 581, 1813, 547, 8390, 538, 13345, 540, 3484, 2200, 676, 7693, 2371, 269, 5047, 267, 1732, 21774, 540, 7943, 547, 519, 7693, 2030, 1522, 2087, 519, 8244, 540, 6337, 2106, 628, 919, 547, 29647, 521, 1144, 538, 29503, 9544, 693, 476, 6344, 4699, 543, 476, 3445, 4699, 29365, 602, 15469, 2208, 267, 4611, 538, 2799, 2418, 540, 2030, 4463, 269, 1452, 2164, 616, 538, 1899, 609, 1346, 540, 2073, 945, 4080, 602, 10931, 2117, 2033, 12630, 538, 19610, 9343, 8383, 908, 1079, 9343, 540, 10286, 2549, 541, 13183, 838, 1421, 607, 606, 17685, 1886, 3812, 2371, 540, 5021, 4463, 269, 1452, 2164, 941, 849, 9672, 676, 2073, 945, 7074, 606, 2799, 2030, 4463, 538, 29503, 9544, 693, 476, 6344, 4699, 607, 3379, 547, 476, 2568, 4699, 2582, 9343, 269, 3958, 267, 519, 4589, 540, 476, 13006, 811, 4463, 540, 10931, 2117, 2033, 2371, 538, 476, 271, 269, 276, 544, 17898, 3166, 9343, 3379, 547, 476, 272, 269, 276, 544, 17898, 3166, 9343, 269, 634, 5021, 5786, 538, 29647, 3259, 729, 7074, 950, 10931, 2117, 2033, 729, 17685, 549, 5529, 609, 21378, 559, 1312, 538, 2371, 607, 1134, 607, 538, 3731, 3019, 7693, 269, 634, 4744, 25630, 640, 538, 29647, 3259, 896, 1114, 5574, 1522, 581, 1813, 547, 513, 2362, 1297, 540, 2028, 3941, 829, 29647, 950, 10931, 2117, 2033, 729, 12630, 607, 6852, 7693, 3379, 547, 10931, 2117, 2033, 1341, 21378, 559, 269, 634, 4589, 538, 476, 4080, 602, 17685, 549, 6137, 538, 10931, 2117, 2033, 3648, 4299, 29647, 3259, 563, 24868, 1464, 538, 29647, 8006, 538, 8486, 543, 29503, 9544, 609, 476, 2568, 4699, 2582, 4737, 543, 476, 3445, 4699, 5595, 4737, 17446, 540, 6852, 10931, 2117, 2033, 543, 10931, 2117, 2033, 609, 21378, 559, 949, 581, 11911, 547, 1732, 29647, 2208, 538, 29365, 543, 29503, 9544, 1317, 540, 7850, 3761, 540, 1585, 6694, 11378, 267, 971, 607, 1216, 267, 13226, 267, 3092, 1421, 799, 941, 4294, 2047, 547, 519, 29365, 543, 1369, 519, 29503, 3079, 540, 11544, 873, 609, 519, 2627, 3037, 936, 519, 3003, 2030, 1858, 269, 1452, 4093, 616, 538, 2673, 29077, 609, 519, 8753, 540, 2073, 945, 5462, 602, 29647, 8006, 729, 2799, 607, 513, 1267, 540, 2810, 4737, 19437, 267, 1247, 476, 7150, 602, 519, 8006, 540, 29647, 729, 711, 6766, 998, 1114, 521, 12976, 9511, 269, 14608, 14688, 811, 14662, 312, 689, 29503, 9544, 538, 10931, 2117, 2033, 5574, 936, 824, 5574, 729, 7654, 1813, 547, 5021, 700, 9590, 630, 8201, 476, 274, 1070, 595, 16165, 630, 8201, 476, 276, 1070, 570, 19699, 630, 8201, 476, 278, 1070, 543, 715, 2752, 630, 8201, 476, 277, 1040, 634, 811, 29647, 6556, 540, 519, 14662, 1522, 581, 1813, 547, 1447, 6735, 585, 2200, 602, 8476, 519, 29647, 1761, 1282, 11095, 3942, 269, 634, 1657, 4681, 616, 538, 1899, 609, 2073, 945, 4767, 513, 476, 2641, 269, 279, 260, 5786, 538, 6556, 540, 10931, 2117, 2033, 950, 621, 729, 17685, 549, 5529, 609, 32646, 22792, 630, 289, 14993, 3821, 735, 652, 5142, 1040, 19452, 267, 513, 1732, 6556, 540, 10931, 2117, 2033, 729, 5833, 950, 12630, 607, 513, 6852, 7693, 3379, 547, 519, 17685, 549, 5529, 1505, 1547, 634, 1657, 2164, 616, 849, 6462, 676, 2073, 945, 4767, 602, 1114, 17685, 28979 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 2290, 10543, 24898, 729, 593, 1010, 1259, 1753, 689, 519, 16749, 6728, 269, 1879, 646, 5828, 5180, 513, 7944, 267, 646, 4862, 3723, 25074, 3297, 1864, 543, 646, 2219, 2576, 729, 4947, 2282, 269, 1261, 3459, 547, 3802, 3728, 269, 634, 3723, 25074, 3357, 3728, 267, 1932, 269, 1261, 30281, 1524, 269, 634, 3723, 25074, 849, 30281, 1524, 269, 3767, 646, 729, 2386, 602, 2576, 1590, 581, 2469, 1310, 1864, 269, 1261, 6836, 547, 12404, 269, 12846, 519, 3268, 4553, 1864, 269, 1261, 4769, 1405, 917, 875, 547, 4688, 5128, 267, 865, 646, 29860, 936, 930, 7381, 6371, 543, 554, 573, 5128, 538, 513, 28200, 1547, 1261, 28520, 5128, 1524, 593, 835, 540, 9723, 2125, 1547, 634, 812, 3297, 3357, 2282, 269, 24898, 1223, 5873, 519, 812, 7914, 936, 519, 6371, 269, 32438, 540, 555, 773, 1407, 543, 3775, 1499, 4904, 1010, 2247, 269, 24898, 11542, 909, 543, 5185, 519, 812, 269, 834, 1432, 798, 596, 1616, 286, 4208, 616, 596, 4947, 1310, 803, 8119, 1261, 4280, 269, 834, 296, 2161, 2437, 519, 24928, 4280, 267, 834, 4777, 596, 2141, 979, 1753, 899, 713, 267, 610, 616, 596, 2921, 930, 2027, 3635, 9522, 697, 286, 594, 1616, 547, 979, 547, 6004, 269, 5682, 781, 543, 1810, 1405, 917, 519, 1259, 269, 634, 6728, 4487, 5143, 803, 547, 1246, 596, 607, 596, 2661, 1985, 7450, 269, 19196, 2224, 803, 585, 6998, 267, 855, 568, 972, 1454, 20991, 547, 979, 1354, 649, 1205, 972, 8119, 634, 24928, 4553, 24898, 1317, 567, 9041, 476, 4586, 288, 269, 646, 4941, 547, 6146, 24898, 563, 289, 269, 646, 4941, 547, 21102, 1919, 563, 290, 269, 646, 4941, 547, 979, 547, 24898, 781, 1747, 563, 291, 269, 646, 4941, 547, 979, 547, 6004, 269, 5682, 781, 543, 646, 4769, 1405, 917, 519, 1259, 972, 563, 12585, 281, 667, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 6960, 21487, 1507, 27576, 834, 536, 834, 8799, 1507, 6960, 21487, 27576, 834, 15017, 288, 281, 536, 0, 9223, 281, 769, 799, 10315, 540, 519, 5177, 568, 645, 1090, 828, 16836, 888, 12585, 281, 530, 3997, 16303, 0, 9223, 281, 3733, 2247, 4667, 2141, 547, 2132, 547, 519, 1554, 950, 594, 1558, 14161, 269, 634, 2749, 1668, 11074, 693, 513, 7944, 547, 4584, 909, 519, 3232, 862, 26407, 630, 16341, 821, 945, 12599, 5781, 547, 543, 689, 960, 1070, 513, 1895, 538, 799, 594, 729, 3769, 269, 8274, 532, 519, 1668, 267, 594, 6743, 585, 513, 1747, 547, 1694, 269, 2311, 2063, 267, 594, 1336, 513, 1747, 2282, 519, 1394, 269, 634, 812, 538, 519, 10160, 1985, 547, 519, 835, 594, 729, 2469, 585, 729, 606, 4587, 812, 538, 513, 15454, 9290, 267, 1134, 2914, 1941, 10571, 10887, 267, 543, 513, 3109, 11058, 899, 594, 2141, 3182, 3293, 1065, 13024, 9849, 267, 855, 1510, 519, 2370, 2046, 3556, 269, 1530, 730, 267, 594, 3459, 547, 1224, 519, 1433, 594, 1185, 1044, 8876, 267, 799, 729, 10793, 23715, 537, 659, 781, 2201, 519, 10003, 269, 634, 812, 538, 519, 10160, 1985, 547, 803, 5189, 5128, 676, 6998, 952, 594, 1185, 1224, 1022, 824, 1433, 899, 519, 835, 594, 729, 8066, 269, 1879, 594, 5143, 1864, 594, 1185, 267, 646, 8604, 547, 1831, 5461, 267, 543, 865, 1705, 594, 269, 1261, 5189, 5128, 607, 14161, 543, 4280, 952, 594, 17329, 15690, 267, 543, 594, 5143, 1864, 602, 594, 4769, 1405, 2731, 6432, 547, 621, 267, 543, 602, 594, 17329, 4224, 543, 5066, 269, 20613, 1746, 585, 14161, 547, 2995, 803, 602, 594, 1058, 6432, 547, 1483, 2575, 267, 594, 729, 28280, 950, 646, 1175, 20493, 543, 21330, 269, 1261, 1767, 267, 834, 2791, 7618, 803, 540, 8885, 950, 594, 729, 707, 2085, 269, 594, 3314, 875, 1250, 3237, 554, 730, 15690, 543, 875, 789, 7948, 1405, 1294, 875, 594, 1223, 6432, 547, 602, 1659, 995, 6846, 269, 594, 914, 707, 3237, 2161, 519, 1482, 3364, 267, 1810, 1405, 789, 8119, 3767, 621, 729, 1250, 2490, 547, 12837, 267, 993, 4310, 609, 875, 1318, 646, 729, 269, 1306, 519, 1668, 5645, 721, 689, 835, 2427, 540, 519, 2749, 547, 519, 824, 267, 14161, 543, 594, 14437, 827, 513, 2603, 540, 1114, 1919, 269, 634, 811, 649, 14437, 267, 519, 811, 27086, 594, 2968, 693, 875, 1454, 519, 1079, 540, 721, 2731, 1185, 538, 1455, 267, 5103, 519, 2085, 3017, 269, 594, 10093, 1405, 2938, 1864, 2094, 649, 851, 539, 267, 855, 519, 2219, 540, 938, 4276, 602, 1554, 10355, 3762, 1250, 2247, 269, 14161, 2731, 1500, 803, 1589, 827, 875, 1454, 649, 666, 1451, 689, 1142, 824, 952, 649, 1175, 2736, 998, 519, 7161, 1063, 721, 649, 4312, 3893, 269, 594, 1611, 267, 594, 1131, 723, 2760, 2219, 1354, 602, 1554, 602, 594, 1223, 723, 4376, 538, 1455, 609, 2576, 865, 1454, 4587, 982, 594, 269, 1809, 14161, 6026, 803, 602, 1100, 2339, 1018, 649, 616, 267, 649, 616, 782, 1175, 1004, 267, 543, 602, 649, 1058, 1118, 606, 3063, 4674, 547, 2119, 543, 1205, 547, 917, 938, 12543, 543, 1004, 649, 1294, 1169, 1554, 267, 7488, 540, 2085, 267, 5198, 267, 4984, 267, 3023, 267, 610, 4376, 3116, 269, 1403, 649, 782, 1491, 519, 942, 547, 3801, 547, 1174, 1142, 824, 267, 594, 1589, 602, 519, 1158, 1131, 581, 513, 1454, 1732, 1747, 602, 649, 1223, 2671, 1927, 267, 607, 3425, 269, 898, 666, 581, 18505, 1042, 689, 519, 8574, 602, 567, 9041, 476, 4586, 288, 269, 519, 2278, 18387, 1405, 2938, 519, 2025, 812, 2094, 1287, 454, 289, 269, 15690, 2575, 1031, 547, 581, 811, 2442, 982, 4224, 543, 5066, 454, 290, 269, 519, 2278, 729, 711, 13854, 609, 1480, 3347, 538, 519, 1158, 454, 291, 269, 14161, 1500, 519, 2278, 8275, 649, 3425, 2661, 538, 4708, 543, 7015, 3125, 454, 12585, 281, 595, 0, 9223, 281, 17323, 568, 519, 1353, 540, 3047, 543, 922, 16374, 269, 12207, 946, 621, 547, 1353, 2518, 8337, 543, 3950, 519, 4365, 269, 22749, 946, 621, 547, 1451, 1141, 1004, 2661, 543, 960, 543, 547, 1544, 1018, 547, 798, 609, 519, 2244, 269, 898, 568, 1631, 4443, 982, 2479, 547, 946, 11585, 1317, 540, 513, 2257, 1572, 2230, 2029, 269, 634, 2136, 2276, 9250, 922, 1101, 9682, 538, 476, 4198, 279, 269, 2368, 2230, 13485, 602, 4553, 941, 10923, 2090, 269, 769, 1249, 267, 3618, 2257, 568, 513, 2462, 851, 540, 519, 960, 540, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 1040, 13562, 2246, 338, 6743, 856, 540, 519, 2230, 29060, 269, 1358, 4956, 547, 1491, 11147, 540, 3047, 689, 741, 642, 656, 720, 1448, 269, 3683, 519, 1296, 267, 4605, 2298, 4824, 269, 1744, 583, 1479, 10344, 1631, 2982, 2244, 2934, 267, 971, 607, 8933, 269, 898, 666, 1256, 1397, 519, 10754, 540, 1804, 4872, 269, 16071, 540, 519, 1482, 4025, 693, 1114, 2053, 1397, 875, 519, 2244, 568, 4657, 269, 8331, 1281, 711, 946, 1175, 11147, 267, 1498, 269, 769, 476, 4198, 279, 621, 9250, 30263, 4629, 306, 630, 1492, 27657, 5606, 14518, 9866, 3569, 31420, 1040, 901, 1101, 946, 540, 513, 9682, 547, 1353, 3047, 729, 2500, 538, 4758, 4365, 23004, 269, 898, 3366, 547, 519, 5137, 540, 1007, 2230, 2645, 547, 946, 538, 11585, 269, 634, 14924, 520, 5358, 3459, 538, 476, 3192, 273, 269, 901, 9682, 2366, 2143, 5784, 540, 3047, 689, 2230, 269, 634, 5961, 941, 865, 5730, 602, 3744, 1223, 1293, 519, 1297, 543, 5686, 540, 7031, 538, 513, 2361, 269, 14924, 520, 4951, 1141, 3047, 781, 2627, 1185, 24966, 2059, 799, 16767, 1522, 4755, 269, 901, 1344, 5280, 538, 519, 4058, 540, 1007, 4872, 543, 15327, 269, 14924, 520, 849, 1500, 8906, 269, 769, 19778, 621, 4092, 9832, 540, 7164, 10239, 269, 898, 22942, 539, 1507, 12647, 538, 9098, 602, 941, 1100, 9522, 7851, 269, 14924, 520, 267, 1631, 811, 4359, 267, 1869, 13733, 2221, 269, 6271, 2230, 1907, 568, 3047, 9866, 6326, 268, 272, 630, 292, 302, 268, 272, 1040, 901, 14361, 13733, 1318, 3297, 14924, 520, 269, 898, 3217, 5961, 540, 519, 1482, 4609, 269, 634, 1079, 5036, 540, 5961, 267, 9763, 1927, 267, 1397, 875, 4872, 1332, 543, 875, 824, 4025, 267, 971, 607, 4764, 7733, 267, 1831, 4130, 936, 942, 269, 901, 2337, 3744, 1451, 875, 1004, 1860, 11585, 269, 2290, 540, 519, 21777, 2230, 2645, 568, 519, 2983, 7240, 6176, 7010, 630, 31043, 1040, 22944, 568, 2780, 3301, 602, 2337, 3744, 547, 1353, 3047, 269, 22944, 568, 1114, 689, 4505, 2230, 2645, 269, 24371, 267, 3506, 267, 543, 1256, 3328, 1004, 4534, 711, 1175, 519, 2229, 4534, 4754, 946, 621, 547, 1397, 873, 875, 2242, 538, 519, 4541, 1522, 1860, 873, 269, 3245, 519, 8574, 267, 649, 666, 18505, 602, 567, 9041, 476, 4586, 288, 269, 22944, 568, 519, 21777, 2780, 547, 1353, 3047, 454, 289, 269, 8331, 1152, 5673, 593, 6337, 547, 1353, 3047, 454, 290, 269, 9682, 5961, 666, 2285, 811, 2143, 1344, 454, 291, 269, 2487, 772, 2529, 269, 15408, 616, 607, 4359, 607, 519, 2025, 3283, 454, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 2025, 1922, 5831, 539, 4837, 627, 8636, 1782, 2370, 19176, 13711, 14328, 4418, 831, 834, 536, 834, 8799, 2370, 2025, 1922, 5831, 539, 14328, 13711, 19176, 4837, 627, 8636, 1782, 4418, 831, 834, 15017, 288, 281, 536, 0, 454, 9223, 281, 834, 3674, 11184, 328, 513, 3268, 3563, 540, 6307, 286, 1772, 19626, 1644, 547, 25562, 286, 769, 1804, 3885, 267, 621, 568, 3006, 2352, 547, 1832, 3950, 540, 782, 835, 781, 14077, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 3502, 1373, 513, 3268, 3563, 540, 7325, 773, 568, 6190, 585, 711, 1373, 606, 22660, 540, 15182, 528, 269, 9861, 513, 23013, 540, 654, 7701, 568, 6190, 585, 1373, 606, 22660, 540, 15182, 528, 269, 3245, 713, 5205, 281, 5272, 23013, 540, 654, 7701, 568, 513, 3268, 3563, 540, 7325, 773, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21312, 1804, 2780, 834, 536, 834, 1804, 21312, 2780, 834, 15017, 288, 281, 536, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 24388, 3697, 4017, 1120, 20199, 2915, 834, 536, 834, 15265, 4017, 1120, 20199, 24388, 3697, 2915, 834, 15017, 288, 281, 513, 0, 5522, 11691, 1216, 1135, 334, 281, 589, 812, 538, 513, 9290, 18795, 1996, 513, 4282, 269, 1261, 12162, 338, 1010, 2212, 607, 646, 5654, 693, 519, 8254, 269, 1261, 1287, 5956, 547, 2911, 827, 1945, 269, 1261, 3124, 919, 1063, 6158, 543, 6947, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1107, 5689, 1998, 525, 454, 268, 7731, 1107, 5689, 341, 19687, 454, 268, 2637, 639, 1107, 2806, 601, 21573, 577, 639, 454, 268, 15661, 1107, 589, 269, 1965, 1529, 550, 639, 454, 268, 23642, 6706, 2012, 1107, 2806, 601, 21573, 577, 639, 1965, 1529, 550, 639, 563, 763, 5452, 540, 2806, 601, 21573, 577, 639, 10507, 1529, 550, 639, 700, 269, 941, 1332, 538, 476, 274, 1114, 17428, 570, 267, 570, 272, 267, 570, 273, 267, 630, 5472, 1695, 645, 12112, 3333, 717, 592, 3333, 534, 267, 476, 1001, 274, 994, 307, 1107, 6513, 630, 18744, 3037, 630, 278, 11899, 264, 1341, 1015, 5452, 994, 307, 272, 1700, 3281, 24031, 630, 5611, 575, 332, 264, 1341, 476, 1015, 5452, 1341, 14606, 630, 278, 11899, 994, 307, 273, 1107, 309, 1069, 545, 558, 14006, 630, 5611, 326, 332, 264, 1341, 476, 1015, 5452, 1341, 14606, 630, 278, 11899, 994, 1015, 552, 691, 1156, 17428, 941, 1031, 547, 1449, 519, 3543, 894, 2208, 6724, 540, 2806, 601, 21573, 577, 639, 1965, 1529, 656, 639, 630, 331, 8014, 9416, 264, 10448, 269, 634, 2450, 540, 1142, 1494, 729, 476, 1015, 6279, 2620, 543, 476, 279, 6279, 8700, 543, 4904, 609, 3037, 563, 763, 1739, 6724, 941, 4767, 593, 476, 1789, 628, 1485, 543, 476, 2568, 628, 1554, 540, 9544, 563, 10933, 3008, 13543, 300, 19006, 5508, 717, 4629, 310, 8025, 24315, 4456, 4953, 8991, 454, 4263, 1142, 7556, 1739, 6724, 941, 6592, 282, 1744, 2393, 3259, 630, 9492, 1070, 17848, 3259, 630, 9492, 1070, 7089, 540, 3762, 267, 23516, 1858, 630, 7825, 273, 1070, 1744, 2393, 18610, 2597, 630, 326, 332, 1070, 17848, 18610, 2597, 630, 326, 332, 1070, 1744, 2393, 16959, 2597, 630, 326, 332, 264, 543, 17848, 16959, 2597, 630, 326, 332, 1070, 25914, 19780, 563, 5475, 2126, 267, 6565, 27191, 941, 5402, 6569, 689, 519, 3037, 1510, 1022, 3441, 543, 18233, 538, 4881, 1216, 547, 4894, 519, 20170, 3037, 5536, 269, 634, 3259, 540, 519, 3597, 267, 9496, 543, 6978, 12523, 941, 2944, 563, 307, 21764, 594, 281, 11682, 22076, 2975, 8016, 4047, 300, 13965, 24315, 4456, 4953, 8991, 5508, 966, 2207, 300, 2975, 302, 6573, 302, 4306, 454, 16085, 269, 5591, 1475, 291, 904, 1475, 307, 805, 906, 1475, 335, 295, 1475, 4488, 1475, 301, 630, 8472, 1475, 303, 630, 8472, 1475, 298, 630, 8472, 1475, 290, 21610, 5223, 2008, 307, 21764, 4083, 281, 717, 4629, 310, 8025, 24315, 4456, 4953, 8991, 5508, 589, 269, 11536, 290, 8085, 19611, 4785, 454, 307, 21764, 8633, 281, 8863, 299, 3036, 8008, 14176, 17247, 28132, 7728, 5508, 589, 269, 11536, 290, 8085, 19611, 4785, 454, 16085, 269, 3143, 1475, 21675, 1475, 5591, 540, 12518, 10351, 3990, 630, 8472, 1475, 5591, 269, 540, 3762, 1475, 8867, 2378, 1858, 1475, 4537, 2393, 3259, 630, 9492, 10534, 305, 2393, 20099, 6262, 332, 10534, 24456, 27551, 6262, 332, 10534, 305, 2393, 674, 310, 1299, 667, 310, 14116, 332, 10534, 4537, 2393, 674, 310, 1299, 667, 310, 630, 326, 332, 10534, 5591, 269, 540, 9136, 1475, 5591, 540, 26540, 12898, 476, 3393, 628, 1485, 2008, 307, 1765, 6944, 1503, 630, 322, 578, 323, 2426, 1341, 3037, 1070, 570, 272, 1700, 29436, 3653, 266, 10800, 323, 2426, 267, 570, 273, 1700, 29436, 3653, 1341, 10800, 323, 2426, 1341, 3618, 11988, 454, 763, 2360, 540, 5574, 593, 6978, 715, 267, 623, 543, 918, 9830, 267, 2208, 543, 10448, 6556, 540, 589, 269, 10507, 1529, 550, 639, 941, 6594, 269, 22702, 609, 1852, 630, 307, 1070, 26128, 298, 1871, 570, 272, 543, 570, 273, 2799, 1297, 540, 6978, 267, 2030, 4463, 267, 1297, 540, 8371, 267, 6978, 1858, 267, 1297, 543, 2597, 540, 5613, 3648, 630, 335, 285, 271, 269, 4962, 1040, 17164, 762, 11729, 540, 589, 269, 10507, 1529, 550, 639, 2016, 676, 782, 519, 7066, 730, 11003, 941, 2147, 269, 634, 595, 21610, 5223, 729, 3648, 1164, 538, 2357, 6193, 558, 14006, 540, 19337, 3653, 269, 634, 595, 21610, 5223, 568, 835, 540, 519, 1292, 7355, 602, 4766, 519, 24600, 1184, 269, 898, 568, 1419, 1031, 607, 606, 4994, 540, 24600, 15657, 267, 5103, 1082, 25354, 2404, 609, 713, 1935, 267, 855, 621, 4667, 547, 581, 513, 6325, 9936, 585, 1739, 519, 1646, 540, 519, 24600, 1184, 630, 298, 15595, 559, 1696, 620, 1421, 476, 1220, 272, 1040, 634, 2242, 538, 595, 21610, 5223, 1223, 581, 3144, 607, 2963, 540, 519, 12159, 2557, 540, 519, 5214, 2326, 543, 519, 15657, 540, 11003, 269, 19869, 601, 8423, 573, 1696, 620, 1421, 630, 1220, 275, 264, 945, 7150, 602, 595, 21610, 1871, 540, 1472, 610, 2630, 476, 736, 1223, 581, 2808, 25685, 269, 10609, 531, 559, 1696, 620, 1421, 630, 1220, 272, 264, 7152, 602, 519, 595, 21610, 5223, 540, 9921, 11003, 1058, 23679, 581, 827, 476, 1015, 855, 713, 568, 15991, 2479, 24276, 1813, 547, 519, 4527, 540, 973, 531, 31842, 7949, 5214, 7135, 267, 610, 2326, 799, 5706, 17883, 1813, 547, 741, 2168, 610, 3114, 3601, 269, 2368, 4589, 4080, 602, 513, 595, 21610, 5223, 2630, 476, 736, 568, 606, 22566, 540, 11807, 15657, 269, 1717, 267, 27718, 525, 1696, 620, 1421, 630, 1220, 278, 264, 7150, 602, 11003, 1522, 581, 2808, 9921, 950, 595, 21610, 5223, 568, 5111, 476, 1704, 610, 1447, 267, 8259, 31429, 334, 3250, 340, 569, 6776, 2326, 2611, 269, 4347, 17802, 267, 519, 5672, 1258, 19153, 715, 267, 623, 543, 918, 616, 519, 1034, 10057, 2609, 676, 2371, 693, 519, 782, 5933, 540, 2208, 269, 634, 7274, 543, 1106, 540, 715, 267, 538, 1880, 267, 1459, 538, 23226, 610, 11003, 568, 1271, 538, 5935, 519, 2298, 540, 519, 1570, 543, 585, 922, 989, 1258, 5669, 946, 543, 616, 5051, 811, 1419, 3989, 538, 11003, 20487, 630, 299, 553, 541, 21355, 1696, 620, 1421, 476, 1220, 277, 543, 27718, 525, 1696, 620, 1421, 476, 1220, 278, 1040, 634, 9830, 540, 26128, 298, 941, 2799, 1282, 519, 24600, 1184, 538, 782, 5574, 630, 8368, 267, 476, 272, 1040, 4578, 5693, 4951, 602, 519, 9830, 540, 26128, 298, 538, 5214, 23226, 5574, 941, 2362, 982, 602, 540, 3114, 1437, 1807, 2126, 693, 3355, 543, 1439, 540, 24600, 1184, 269, 13575, 267, 519, 2333, 538, 2698, 26128, 298, 1282, 24600, 949, 723, 1044, 1813, 547, 519, 2121, 2530, 540, 3819, 2527, 607, 2530, 540, 5214, 595, 607, 2910, 273, 269, 5047, 267, 2698, 715, 666, 849, 581, 2799, 676, 519, 2238, 540, 1997, 894, 715, 1922, 30480, 4551, 693, 519, 1439, 540, 24600, 1184, 630, 6781, 23437, 5069, 573, 1696, 620, 1421, 476, 1220, 275, 1040, 1452, 2164, 616, 538, 2147, 609, 1346, 5833, 676, 1114, 4589, 630, 6781, 323, 4432, 5336, 6545, 3716, 1696, 620, 1421, 476, 1220, 272, 267, 476, 1220, 273, 282, 918, 822, 4275, 329, 1299, 1744, 12609, 267, 476, 1220, 274, 543, 661, 5866, 267, 476, 1220, 278, 1040, 21561, 538, 9436, 1543, 538, 519, 2357, 6193, 558, 14006, 568, 1813, 547, 519, 1249, 602, 3618, 19095, 8476, 519, 9436, 4783, 799, 11911, 547, 519, 2799, 2157, 540, 9436, 538, 2357, 6193, 558, 14006, 269, 634, 9271, 540, 5214, 3327, 1522, 581, 3743, 585, 9436, 1840, 538, 519, 1106, 540, 22024, 267, 9436, 748, 608, 4038, 800, 6878, 267, 12618, 8102, 2218, 10399, 543, 11476, 689, 519, 8937, 540, 3618, 19095, 630, 307, 8692, 27821, 543, 13225, 731, 342, 1690, 267, 476, 1220, 275, 1916, 5804, 519, 2164, 267, 621, 729, 4767, 602, 267, 519, 1840, 540, 19337, 3653, 1031, 607, 22853, 2799, 519, 3037, 5214, 2339, 1543, 607, 1134, 607, 2333, 538, 3037, 5567, 971, 607, 2139, 623, 543, 918, 267, 10566, 543, 2698, 595, 270, 715, 5223, 269, 634, 3498, 540, 5214, 23226, 849, 4824, 519, 2168, 10305, 540, 519, 3037, 269, 634, 3543, 894, 2208, 540, 2806, 601, 21573, 577, 639, 1965, 1529, 550, 639, 269, 700, 6592, 811, 610, 1447, 2147, 538, 782, 519, 5574, 269, 14465, 3570, 29660, 6565, 10480, 609, 10800, 546, 2426, 609, 3047, 21431, 630, 292, 644, 22567, 639, 552, 1872, 523, 23706, 264, 3037, 2982, 5214, 543, 22803, 2418, 540, 11003, 729, 5594, 2799, 538, 595, 21610, 5223, 982, 519, 14606, 10480, 609, 10800, 546, 2426, 269, 634, 1459, 1353, 8761, 602, 3498, 540, 2357, 6193, 558, 14006, 568, 3833, 6225, 538, 6738, 589, 269, 1965, 1529, 550, 639, 585, 2362, 2557, 540, 23286, 267, 2799, 2030, 1210, 2208, 282, 2333, 538, 6556, 6724, 543, 538, 2362, 2344, 762, 4829, 6556, 269, 1717, 267, 519, 1198, 540, 2357, 6193, 558, 14006, 9570, 568, 1586, 7693, 8200, 267, 609, 811, 11729, 563, 272, 269, 19869, 4432, 5336, 6545, 3716, 670, 14389, 5919, 631, 6993, 269, 589, 3960, 1794, 344, 282, 681, 6993, 269, 19869, 601, 5025, 345, 714, 543, 631, 269, 17939, 518, 269, 476, 1220, 272, 269, 645, 3999, 4920, 4146, 540, 5214, 6824, 540, 18513, 4396, 3653, 547, 11003, 543, 922, 812, 1116, 1198, 593, 10568, 2208, 269, 5527, 269, 808, 269, 14606, 2233, 1421, 476, 4375, 630, 274, 2567, 476, 279, 268, 1691, 563, 273, 269, 19869, 601, 8423, 573, 570, 269, 631, 5919, 570, 269, 670, 9461, 1276, 328, 543, 590, 269, 5136, 320, 269, 476, 1220, 275, 269, 3281, 24031, 540, 7573, 12450, 609, 3282, 23092, 22149, 14735, 543, 16738, 23226, 543, 922, 2360, 593, 535, 19487, 21167, 630, 309, 545, 807, 535, 19487, 700, 4700, 2208, 543, 3037, 3601, 269, 12713, 637, 1830, 3353, 565, 1421, 476, 11152, 281, 8146, 476, 6245, 563, 274, 269, 16589, 645, 12112, 3333, 717, 592, 3333, 534, 267, 670, 2378, 714, 17124, 590, 2801, 539, 267, 1744, 1794, 807, 808, 14865, 272, 267, 1677, 20899, 631, 2044, 655, 267, 17124, 1955, 3757, 5900, 320, 543, 17124, 589, 2381, 268, 644, 5937, 514, 269, 476, 1001, 274, 267, 12186, 540, 10960, 2494, 675, 593, 519, 12618, 543, 4886, 540, 21411, 571, 630, 6781, 601, 21573, 577, 639, 10507, 1529, 550, 639, 700, 13776, 8121, 14149, 4750, 540, 16581, 543, 18143, 3163, 267, 966, 5357, 269, 476, 279, 267, 12971, 269, 476, 274, 563, 275, 269, 645, 1002, 631, 10611, 267, 7799, 599, 324, 590, 10611, 267, 476, 1001, 273, 267, 715, 22021, 21073, 1656, 7233, 12618, 26472, 15783, 2986, 16721, 1563, 21502, 545, 558, 14006, 267, 4139, 4750, 2986, 7025, 7070, 267, 11730, 476, 274, 267, 3143, 476, 272, 563, 276, 269, 661, 5866, 631, 12171, 269, 476, 1220, 278, 269, 13335, 540, 6211, 8105, 21246, 1023, 585, 6721, 2922, 10448, 7031, 269, 631, 269, 2480, 269, 19080, 267, 20513, 540, 11982, 267, 918, 2378, 14843, 515, 16554, 2160, 454, 277, 269, 12722, 267, 631, 11482, 269, 476, 3192, 274, 269, 14606, 11906, 5811, 267, 623, 1370, 823, 8065, 540, 3127, 17721, 17290, 267, 1715, 16156, 563, 278, 269, 918, 822, 4275, 329, 543, 590, 269, 1744, 12609, 269, 476, 1220, 274, 269, 27391, 531, 4396, 3653, 2359, 998, 2357, 6193, 558, 14006, 532, 14139, 16678, 543, 2199, 2249, 540, 3618, 19095, 269, 12713, 637, 1830, 3353, 565, 1421, 476, 3445, 281, 476, 15433, 476, 15876, 563, 279, 269, 10609, 531, 559, 589, 15660, 5919, 631, 2529, 269, 2142, 515, 776, 543, 661, 8160, 269, 30561, 269, 476, 1220, 272, 269, 16424, 540, 15451, 5095, 543, 741, 1591, 592, 32673, 2238, 1282, 519, 24600, 540, 18513, 4396, 22837, 269, 2622, 808, 269, 540, 5843, 6798, 269, 4437, 27370, 565, 269, 476, 1704, 281, 476, 14028, 268, 476, 14065, 563, 280, 269, 20098, 541, 21355, 918, 5919, 594, 269, 5019, 641, 23981, 282, 631, 269, 918, 1824, 537, 282, 717, 269, 15815, 573, 529, 282, 570, 269, 2494, 3930, 543, 589, 269, 19109, 686, 659, 537, 269, 476, 1220, 277, 269, 10866, 4879, 540, 11003, 338, 538, 519, 5259, 2344, 281, 634, 991, 585, 4441, 543, 2298, 22059, 269, 808, 269, 540, 30287, 269, 5004, 267, 476, 3199, 281, 476, 6812, 476, 4792, 563, 1015, 269, 27718, 525, 589, 5919, 962, 269, 595, 754, 517, 543, 631, 11053, 269, 4446, 1537, 269, 476, 1220, 278, 269, 16214, 540, 18513, 4396, 3653, 11003, 607, 513, 2030, 3395, 2923, 5057, 267, 676, 7311, 7848, 1374, 269, 12713, 637, 1830, 5303, 267, 476, 7176, 267, 476, 27420, 280, 268, 28906, 276, 563, 1556, 269, 717, 641, 514, 11936, 267, 681, 543, 631, 10422, 21531, 1662, 267, 476, 1001, 274, 269, 4437, 27019, 11437, 540, 17667, 17904, 4635, 3131, 542, 344, 343, 2781, 2643, 534, 18424, 543, 10597, 2773, 540, 14471, 593, 4563, 12896, 630, 309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 4415, 5230, 12271, 1631, 649, 723, 1185, 547, 6338, 606, 14721, 5279, 547, 4308, 609, 15549, 344, 2152, 585, 799, 4352, 649, 616, 513, 31066, 855, 1705, 711, 3761, 519, 6221, 269, 1403, 649, 4769, 1406, 1118, 1256, 513, 1507, 2179, 540, 7443, 9513, 621, 267, 649, 666, 1406, 17854, 9878, 519, 2022, 720, 547, 6494, 621, 1055, 547, 581, 30465, 269, 1656, 952, 519, 8227, 540, 1007, 6539, 6499, 547, 2119, 621, 856, 267, 1287, 649, 786, 581, 12123, 1864, 585, 519, 7535, 610, 1930, 1216, 7886, 269, 1924, 875, 1454, 1281, 519, 9642, 11278, 736, 602, 646, 10710, 2731, 2339, 286, 30052, 547, 1864, 602, 20974, 1229, 513, 2603, 267, 855, 5310, 1631, 646, 779, 2938, 519, 1871, 547, 519, 3028, 649, 1683, 646, 3580, 556, 29264, 286, 634, 1434, 3377, 568, 602, 1100, 14633, 814, 2943, 11827, 513, 1259, 547, 4647, 2011, 3842, 513, 18292, 10814, 267, 865, 649, 3580, 581, 7487, 1864, 1394, 538, 519, 4558, 1483, 4166, 269, 5620, 513, 1589, 827, 519, 3354, 540, 707, 3761, 5832, 585, 11362, 269, 10871, 667, 633, 853, 2803, 723, 16841, 338, 543, 949, 1942, 513, 2370, 811, 267, 855, 789, 786, 581, 1472, 547, 3761, 707, 2011, 267, 1683, 18203, 693, 2110, 5469, 267, 16926, 6539, 267, 2285, 5796, 543, 1489, 707, 16306, 269, 2659, 11362, 2238, 1131, 581, 28222, 811, 2352, 952, 789, 20374, 563, 2171, 7048, 593, 938, 11362, 14609, 625, 711, 1152, 547, 2671, 519, 2922, 11362, 649, 616, 782, 5275, 267, 855, 547, 1683, 519, 1489, 547, 1491, 593, 811, 4101, 546, 1161, 543, 519, 1394, 5346, 950, 1919, 979, 4636, 269, 16840, 540, 824, 5026, 1810, 1406, 723, 547, 7048, 593, 1142, 824, 538, 4376, 899, 519, 1482, 1259, 269, 18648, 16542, 593, 513, 11176, 12334, 1797, 596, 6336, 519, 6474, 267, 855, 1100, 14633, 779, 1272, 1131, 581, 13155, 676, 621, 269, 18648, 16542, 593, 513, 4685, 7552, 1797, 5135, 26561, 1810, 1406, 1205, 13761, 267, 4685, 5618, 338, 1205, 1236, 5792, 543, 519, 4093, 666, 581, 14686, 3978, 269, 2060, 2178, 21341, 593, 519, 1004, 538, 938, 4685, 8998, 666, 2097, 2178, 4664, 269, 7043, 9227, 2818, 540, 513, 8630, 786, 917, 1142, 824, 779, 3885, 267, 1453, 786, 6108, 741, 4832, 14812, 593, 4685, 15143, 543, 1451, 547, 2879, 1251, 601, 610, 4685, 1369, 519, 7936, 269, 6348, 1673, 1516, 4891, 666, 4749, 581, 1336, 27459, 2358, 513, 3014, 540, 11824, 25319, 585, 513, 16455, 4452, 540, 4129, 685, 1453, 269, 1924, 530, 4141, 1532, 564, 728, 1022, 3627, 5500, 2275, 727, 2000, 2299, 945, 5267, 602, 267, 3079, 540, 519, 5993, 31145, 547, 1284, 2096, 1926, 267, 789, 1131, 899, 547, 2212, 547, 519, 10787, 928, 11866, 713, 1032, 269, 1411, 616, 711, 11021, 602, 11362, 609, 20910, 1522, 581, 513, 1187, 7552, 269, 7937, 1100, 256, 1411, 616, 630, 514, 30541, 1836, 264, 10404, 2358, 1296, 540, 1920, 4832, 9702, 2245, 256, 1215, 1360, 546, 732, 596, 888, 291, 1516, 24643, 1004, 689, 513, 2647, 2039, 540, 1554, 6009, 543, 609, 602, 3309, 4282, 2501, 513, 2647, 2039, 540, 1983, 269, 634, 1883, 3364, 585, 782, 540, 721, 568, 519, 2702, 547, 960, 1369, 519, 2319, 267, 547, 2463, 1142, 824, 779, 5133, 267, 547, 21907, 1689, 543, 547, 1832, 606, 1930, 2247, 269, 634, 2816, 540, 513, 4685, 14357, 949, 3100, 2241, 855, 2731, 1434, 16929, 786, 723, 513, 5578, 1305, 602, 1131, 1118, 513, 19684, 8116, 979, 4617, 693, 519, 19704, 269, 2368, 942, 3516, 513, 1353, 6836, 547, 5173, 519, 1871, 540, 513, 3993, 267, 10992, 782, 1200, 1082, 5107, 543, 14499, 519, 5010, 6697, 269, 634, 3803, 4137, 729, 12341, 936, 11278, 1911, 267, 1822, 513, 1032, 269, 32027, 513, 1871, 593, 707, 4685, 8998, 9614, 786, 7866, 513, 2147, 17559, 4137, 269, 2052, 596, 4952, 14139, 2576, 547, 2638, 519, 2866, 267, 7747, 16929, 267, 2743, 543, 26250, 267, 21825, 1544, 267, 1832, 29601, 593, 519, 6539, 543, 4383, 519, 2818, 1369, 519, 8630, 286, 1280, 1346, 21616, 2818, 1369, 15731, 5225, 4063, 594, 4481, 1767, 8380, 513, 1871, 593, 707, 11298, 267, 711, 513, 3902, 256, 667, 633, 15731, 666, 581, 519, 1034, 24858, 4025, 538, 519, 1158, 693, 2053, 1107, 855, 789, 666, 849, 581, 519, 1034, 14785, 543, 11215, 5054, 585, 707, 4685, 9035, 563, 16521, 16523, 20617, 563, 27094, 568, 538, 519, 2011, 269, 1306, 4129, 649, 15069, 4782, 938, 2011, 547, 581, 796, 4186, 3133, 730, 538, 19037, 267, 855, 519, 4641, 568, 602, 1082, 540, 721, 786, 2743, 938, 4891, 4882, 335, 11817, 4882, 22658, 1866, 998, 938, 4685, 8630, 267, 610, 593, 513, 1576, 12341, 267, 610, 16304, 1472, 513, 4685, 10935, 269, 1703, 779, 606, 19969, 602, 2501, 609, 2348, 513, 11362, 7649, 269, 1358, 2907, 917, 827, 519, 12404, 3585, 2038, 6238, 547, 1205, 547, 519, 1793, 871, 1216, 6885, 593, 513, 4685, 3135, 269, 1358, 1174, 519, 2566, 950, 707, 15964, 7552, 568, 3138, 4040, 543, 596, 1869, 10093, 1406, 7307, 547, 1205, 547, 519, 4685, 6300, 585, 606, 2011, 6445, 269, 1358, 616, 6126, 547, 10205, 1022, 2856, 602, 519, 25880, 786, 2479, 13918, 519, 1286, 1586, 607, 707, 4015, 540, 4685, 6539, 21040, 547, 6445, 519, 2139, 2230, 269, 1358, 917, 602, 596, 786, 9096, 707, 4685, 609, 4552, 23401, 513, 6177, 779, 9566, 543, 513, 1159, 792, 540, 521, 2254, 2066, 707, 3068, 269, 1656, 789, 4465, 1406, 1589, 1022, 1447, 540, 596, 585, 1022, 540, 621, 563, 1103, 1249, 972, 568, 1945, 4720, 3320, 2318, 827, 24574, 1359, 909, 609, 1776, 11651, 269, 1411, 4076, 3893, 513, 2596, 1072, 5496, 585, 26784, 269, 1656, 972, 779, 513, 10257, 1377, 540, 2168, 8516, 269, 634, 2702, 547, 4163, 513, 476, 1428, 1396, 516, 12718, 568, 513, 5386, 1449, 585, 1373, 2111, 547, 4163, 519, 10918, 538, 689, 519, 1286, 610, 513, 27445, 11127, 540, 6632, 11067, 269, 667, 1392, 3622, 723, 513, 1377, 540, 4052, 1983, 3730, 2614, 585, 1034, 18789, 269, 1656, 1022, 667, 633, 26064, 945, 814, 6707, 14609, 1221, 513, 8401, 267, 9241, 6709, 531, 1881, 11651, 786, 723, 1004, 1983, 547, 4308, 609, 1034, 3871, 538, 1272, 563, 296, 2899, 3576, 513, 11651, 856, 538, 30259, 593, 513, 8799, 2653, 13272, 4685, 267, 855, 519, 13581, 2220, 749, 4881, 1500, 3478, 1394, 547, 13272, 835, 540, 1346, 562, 1021, 908, 8090, 1141, 519, 32420, 543, 721, 941, 3001, 538, 10103, 855, 519, 26026, 539, 729, 3257, 922, 1378, 3364, 269, 901, 729, 1932, 1454, 585, 1250, 8401, 27466, 324, 945, 1129, 6817, 543, 18188, 909, 269, 1284, 10841, 2105, 1927, 543, 593, 519, 2627, 1352, 22883, 1200, 1036, 856, 1354, 1352, 8910, 1102, 3836, 1200, 645, 7374, 269, 15775, 513, 6109, 17945, 593, 1200, 267, 594, 6603, 585, 1200, 4870, 1807, 543, 5734, 519, 7735, 269, 3733, 8007, 729, 513, 3068, 2407, 540, 12154, 527, 607, 1200, 15798, 32169, 16765, 809, 1200, 269, 8550, 723, 594, 1044, 865, 18507, 585, 1250, 9633, 543, 26273, 269, 1809, 1018, 5140, 2866, 585, 30822, 11856, 256, 25175, 945, 814, 2479, 556, 1563, 1453, 786, 5660, 519, 7287, 547, 2196, 2476, 543, 1205, 930, 14662, 308, 10621, 6539, 1354, 4657, 606, 23292, 562, 7026, 269, 4634, 952, 707, 25903, 936, 3699, 596, 543, 596, 6430, 547, 3251, 609, 519, 4816, 267, 693, 2547, 707, 7362, 3180, 2553, 786, 2097, 538, 1360, 13561, 563, 2252, 707, 7649, 568, 711, 513, 11651, 1287, 596, 786, 723, 547, 2226, 519, 25386, 2011, 540, 519, 2048, 1372, 788, 4262, 11651, 9957, 1280, 1875, 1673, 1392, 938, 1158, 666, 581, 513, 9490, 543, 14845, 1747, 267, 543, 741, 2035, 540, 4129, 786, 581, 11461, 676, 1530, 534, 1230, 1676, 344, 607, 6276, 20607, 19480, 856, 540, 513, 3819, 9290, 538, 7108, 325, 5424, 269, 3571, 12129, 29075, 729, 1799, 659, 3634, 269, 594, 6836, 713, 2899, 585, 513, 4670, 873, 539, 16681, 10571, 5428, 269, 594, 7479, 12184, 1250, 19033, 547, 22937, 803, 1010, 12129, 29075, 543, 21039, 856, 540, 519, 1394, 540, 519, 1286, 267, 524, 7342, 569, 6288, 539, 1152, 476, 736, 18126, 1472, 519, 7944, 269, 27975, 569, 14018, 609, 1250, 4685, 6539, 593, 594, 15336, 547, 519, 4395, 7450, 543, 678, 836, 519, 11350, 269, 898, 729, 5147, 543, 676, 519, 942, 594, 1185, 1500, 1250, 6264, 13675, 5310, 476, 736, 3764, 1185, 5293, 269, 3733, 14039, 11726, 576, 632, 678, 15530, 2700, 729, 547, 1930, 1250, 3819, 338, 3726, 543, 1900, 856, 269, 1656, 972, 594, 11542, 267, 538, 519, 1835, 636, 9482, 267, 1212, 1078, 267, 521, 690, 4445, 3190, 18005, 1634, 607, 1250, 19033, 779, 12129, 9290, 269, 898, 729, 606, 13675, 620, 2431, 269, 2755, 9878, 519, 970, 10407, 622, 3819, 7738, 3915, 267, 594, 10630, 593, 875, 519, 2923, 28420, 11362, 607, 971, 513, 1350, 600, 5387, 7328, 543, 875, 649, 723, 513, 5539, 547, 1832, 602, 9800, 585, 938, 1875, 1673, 1516, 2828, 543, 1894, 563, 2005, 779, 1152, 950, 649, 22321, 519, 1875, 1673, 1392, 547, 2097, 543, 2119, 513, 14662, 308, 10621, 8400, 602, 789, 786, 2731, 1174, 1018, 649, 2461, 909, 547, 543, 952, 649, 616, 18822, 789, 949, 1134, 581, 554, 10541, 1932, 269, 898, 779, 2009, 547, 1205, 9310, 14015, 538, 513, 1297, 540, 4025, 538, 519, 1158, 269, 5502, 540, 6031, 968, 296, 798, 5608, 596, 666, 5385, 968, 10498, 892, 4191, 543, 1287, 979, 585, 519, 1101, 21098, 269, 898, 4465, 1406, 581, 513, 1279, 267, 13730, 267, 6537, 13050, 2879, 690, 256, 1809, 621, 786, 23248, 581, 519, 1376, 540, 4687, 1272, 779, 7045, 609, 707, 14609, 344, 269, 2311, 2547, 596, 1058, 2569, 519, 1297, 540, 14538, 547, 1945, 19242, 607, 596, 666, 3970, 20217, 547, 11727, 4129, 269, 4208, 711, 6060, 3063, 2798, 609, 707, 4685, 14609, 625, 543, 1118, 621, 513, 8630, 7552, 286, 2991, 782, 596, 2461, 513, 11651, 1107, 596, 666, 1491, 519, 2604, 256, 8414, 27223, 779, 4303, 563, 31466, 3559, 548, 814, 1044, 1085, 18866, 11362, 585, 5176, 476, 1789, 1296, 269, 14301, 593, 1200, 2257, 4282, 1352, 8214, 956, 930, 11353, 540, 7286, 2257, 269, 543, 3006, 814, 513, 2427, 1811, 16145, 693, 519, 1004, 543, 2621, 602, 1352, 13341, 538, 519, 11362, 1158, 269, 0, 2691, 19555, 2335, 13153, 29581, 3128, 16379, 2966, 1018, 729, 9247, 519, 1158, 779, 1101, 3167, 13691, 267, 646, 4769, 1406, 798, 856, 540, 513, 991, 547, 2482, 1524, 29511, 344, 678, 14554, 593, 519, 24528, 540, 519, 10910, 710, 269, 1548, 646, 2877, 729, 513, 1259, 547, 5352, 18565, 543, 3575, 4626, 321, 637, 538, 513, 19915, 547, 1732, 1174, 519, 7574, 640, 543, 6219, 540, 20262, 4992, 269, 1261, 6038, 3357, 909, 609, 513, 3126, 540, 30788, 15181, 25122, 585, 802, 554, 10541, 909, 547, 21567, 6949, 2209, 267, 543, 1631, 596, 666, 2119, 547, 1378, 835, 540, 707, 1169, 1378, 2507, 14322, 596, 4076, 3893, 1063, 693, 2547, 1269, 736, 267, 1822, 8781, 513, 8559, 538, 707, 17927, 269, 901, 1880, 1770, 2443, 646, 1233, 540, 3574, 543, 10569, 627, 8636, 1194, 689, 3979, 32334, 2443, 7012, 1406, 1500, 676, 29581, 3128, 16379, 5128, 267, 855, 621, 568, 835, 540, 519, 1906, 6967, 1806, 540, 971, 476, 866, 628, 2540, 10509, 1869, 538, 6228, 269, 1677, 5873, 25488, 30549, 12844, 327, 4461, 2995, 519, 9661, 267, 972, 779, 1175, 835, 824, 13735, 1472, 519, 2136, 2276, 630, 534, 1278, 4667, 547, 581, 538, 2922, 3946, 693, 519, 2160, 540, 17842, 1040, 2271, 29098, 286, 634, 29581, 3128, 16379, 13754, 6500, 786, 979, 909, 585, 25488, 538, 1715, 3840, 2097, 3735, 5239, 2059, 609, 513, 11739, 342, 540, 824, 3621, 1225, 3930, 689, 1394, 538, 519, 1554, 563, 1805, 641, 3694, 24692, 543, 4421, 1359, 1107, 1376, 1818, 5612, 256, 1520, 2378, 8816, 779, 18065, 7591, 3033, 568, 25888, 1790, 17977, 609, 27178, 267, 8596, 267, 16181, 267, 32613, 1807, 17157, 21181, 543, 811, 269, 12706, 3785, 609, 18065, 7591, 3033, 538, 513, 1906, 3764, 609, 519, 8749, 7146, 1673, 1886, 5269, 24927, 5752, 3135, 267, 1451, 2780, 2257, 1210, 519, 11483, 13028, 625, 1362, 593, 3009, 3820, 267, 7914, 883, 18065, 23911, 547, 1451, 5124, 543, 8800, 1927, 267, 570, 4176, 32271, 267, 610, 1256, 946, 519, 20798, 9517, 292, 269, 18065, 7591, 3033, 18124, 568, 519, 21777, 543, 1655, 18065, 7591, 3033, 4604, 267, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 419, 376, 500, 19540, 503, 22047, 16583, 30936, 8147, 10429, 370, 30853, 17958, 15159, 16533, 484, 27447, 24662, 7511, 21211, 31033, 4970, 366, 9463, 491, 420, 377, 361, 13213, 485, 23521, 354, 12486, 27447, 24662, 21211, 31033, 4970, 366, 23284, 21211, 31033, 12255, 14756, 482, 1347, 26514, 476, 7511, 25051, 351, 19764, 493, 14756, 503, 24731, 12486, 692, 21251, 28884, 14756, 503, 9463, 355, 14035, 500, 7511, 12255, 14756, 482, 26166, 421, 483, 491, 30903, 507, 14035, 500, 7511, 419, 358, 374, 25426, 368, 8147, 12916, 510, 417, 379, 483, 421, 350, 375, 31308, 509, 17295, 364, 32517, 362, 418, 498, 373, 27447, 24662, 12255, 14756, 482, 18998, 12916, 379, 17958, 744, 263, 272, 264, 476, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25335, 352, 19540, 367, 30244, 13601, 25426, 362, 30903, 502, 12486, 692, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 12255, 14756, 482, 18809, 7511, 19867, 478, 20069, 21211, 31033, 421, 25693, 15159, 32412, 2862, 22614, 510, 479, 23989, 18809, 7511, 23746, 19867, 497, 22287, 364, 21211, 31033, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 14277, 327, 14824, 324, 14824, 331, 14824, 331, 14824, 334, 31116, 27447, 24731, 16088, 14277, 334, 14824, 331, 14824, 331, 14824, 324, 14824, 327, 31116, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 14277, 295, 14824, 320, 14824, 333, 14824, 333, 14824, 320, 14824, 327, 31116, 27447, 24731, 16088, 14277, 327, 14824, 320, 14824, 333, 14824, 333, 14824, 320, 14824, 295, 257, 6540, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 22812, 2091, 268, 11415, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 9258, 21803, 272, 4311, 267, 521, 281, 5903, 314, 1598, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 521, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 561, 267, 678, 815, 476, 271, 267, 7003, 4433, 264, 910, 476, 272, 454, 1038, 1247, 561, 2999, 678, 912, 2018, 521, 314, 331, 3910, 521, 314, 337, 316, 815, 521, 314, 337, 3910, 521, 314, 331, 2639, 2018, 561, 6834, 476, 272, 454, 2018, 678, 20699, 476, 272, 454, 1038, 2132, 521, 692, 825, 1219, 9258, 21803, 273, 4311, 267, 521, 281, 5903, 314, 1598, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 521, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 521, 11468, 316, 815, 521, 11468, 18737, 272, 2639, 1038, 2132, 521, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 22373, 327, 2580, 834, 324, 2580, 834, 331, 2580, 834, 331, 2580, 834, 334, 31116, 825, 1820, 263, 11405, 14061, 516, 2091, 21803, 272, 4433, 4917, 825, 1820, 263, 11405, 14061, 516, 2091, 21803, 273, 4433, 4917, 0, 12163, 13893, 273, 269, 13127, 377, 351, 29873, 4970, 353, 14748, 19764, 480, 16043, 500, 25203, 372, 419, 511, 487, 12255, 14756, 482, 7511, 4970, 487, 30317, 14756, 482, 12255, 25203, 362, 454, 14756, 503, 12916, 510, 22047, 10533, 368, 12255, 12255, 14756, 482, 2855, 476, 12486, 692, 27064, 364, 421, 506, 478, 28884, 10524, 492, 12255, 14756, 482, 18809, 9463, 500, 4970, 487, 14748, 31284, 21550, 485, 1775, 18998, 329, 13127, 23687, 737, 5236, 376, 490, 10429, 370, 18809, 630, 271, 10922, 1775, 2999, 795, 10922, 737, 2999, 2855, 32324, 264, 476, 12486, 692, 320, 13127, 23687, 536, 13127, 362, 504, 18263, 487, 417, 28187, 31284, 16088, 692, 320, 815, 2855, 5157, 316, 9745, 2855, 5157, 1341, 476, 272, 316, 9745, 3267, 9745, 2855, 14728, 910, 476, 272, 2639, 321, 815, 2855, 14728, 316, 9745, 2855, 14728, 1341, 476, 272, 316, 9745, 3267, 9745, 2855, 25208, 2639, 21796, 357, 418, 482, 493, 16088, 317, 476, 23989, 419, 353, 374, 17276, 490, 487, 12916, 491, 19764, 480, 16043, 500, 17276, 497, 491, 30853, 12486, 692, 13644, 371, 13213, 498, 18713, 508, 420, 25693, 14035, 509, 10524, 353, 513, 2652, 536, 476, 29873, 419, 360, 489, 7511, 4970, 487, 30317, 14756, 482, 630, 328, 267, 795, 2073, 737, 264, 476, 7511, 12255, 25203, 362, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 273, 267, 274, 267, 272, 267, 277, 267, 278, 2639, 27447, 24731, 16088, 275, 454, 25335, 352, 19404, 488, 16088, 418, 375, 350, 420, 370, 367, 30903, 502, 418, 482, 493, 7511, 4970, 487, 30317, 14756, 482, 26166, 10254, 360, 15159, 630, 271, 267, 272, 267, 273, 1070, 630, 271, 267, 273, 267, 273, 1070, 630, 273, 267, 274, 267, 275, 264, 476, 23284, 9463, 488, 630, 273, 267, 275, 267, 275, 994, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 272, 267, 272, 267, 272, 267, 272, 267, 272, 2639, 27447, 24731, 16088, 1015, 454, 419, 353, 374, 28032, 489, 476, 274, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 273, 267, 274, 2639, 27447, 24731, 16088, 271, 454, 419, 353, 374, 28032, 489, 476, 275, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 272, 267, 274, 267, 276, 267, 278, 267, 280, 2639, 27447, 24731, 16088, 274, 454, 419, 353, 374, 28032, 489, 476, 276, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 278, 267, 1556, 267, 1321, 267, 280, 267, 276, 267, 273, 267, 278, 267, 1704, 267, 2420, 2639, 27447, 24731, 16088, 279, 454, 24372, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 2855, 32324, 10922, 476, 4968, 454, 272, 10922, 2855, 5157, 316, 10922, 476, 1015, 317, 279, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11305, 870, 2389, 686, 921, 1206, 6253, 520, 2275, 534, 27322, 26690, 268, 541, 7590, 6361, 268, 16029, 14870, 528, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 10070, 1104, 22388, 454, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 1293, 31590, 921, 1206, 272, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 454, 1038, 476, 272, 269, 476, 13200, 365, 30903, 502, 418, 482, 493, 23523, 501, 8147, 1551, 5157, 316, 317, 8796, 317, 1551, 25208, 316, 2525, 271, 267, 330, 285, 328, 8147, 16043, 495, 10524, 361, 23746, 23284, 418, 481, 367, 28996, 31176, 491, 419, 376, 478, 25520, 454, 1038, 476, 273, 269, 13127, 28187, 31563, 2181, 5157, 316, 2525, 2181, 25208, 316, 8147, 330, 285, 284, 328, 266, 273, 421, 480, 352, 18263, 486, 5157, 266, 272, 267, 330, 316, 18263, 489, 25426, 368, 19867, 478, 20069, 12255, 421, 25693, 418, 375, 350, 420, 370, 367, 23521, 350, 10524, 370, 454, 1038, 7711, 12407, 2855, 912, 1038, 7711, 8873, 912, 1038, 8173, 1038, 562, 815, 7003, 19906, 994, 1038, 759, 815, 476, 271, 454, 1038, 840, 815, 1496, 271, 316, 2608, 630, 333, 1341, 476, 272, 994, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 840, 5157, 1341, 476, 272, 316, 815, 840, 5157, 316, 9745, 2855, 5157, 2639, 1038, 1948, 2855, 5157, 316, 317, 8796, 317, 1551, 25208, 316, 2525, 271, 267, 330, 285, 328, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 585, 737, 538, 2039, 9217, 1341, 476, 273, 267, 562, 1341, 476, 272, 2187, 3546, 952, 840, 5157, 316, 2652, 840, 25208, 14158, 7386, 759, 6834, 737, 910, 1775, 910, 476, 272, 454, 1038, 2132, 759, 692, 825, 1219, 1293, 31590, 921, 1206, 273, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 454, 1038, 476, 272, 269, 13127, 506, 357, 329, 272, 25814, 273, 267, 8796, 267, 329, 332, 18809, 421, 25693, 418, 375, 350, 420, 370, 367, 8147, 10254, 503, 26233, 375, 12255, 20992, 9217, 18191, 272, 11924, 263, 328, 18191, 273, 11924, 8796, 23444, 328, 18191, 332, 994, 1038, 476, 273, 269, 17276, 487, 478, 23284, 421, 506, 478, 28884, 14756, 509, 18777, 350, 328, 7511, 14748, 12255, 25520, 27818, 329, 272, 266, 329, 273, 266, 8796, 266, 329, 332, 24724, 454, 1038, 7711, 12407, 2855, 912, 1038, 7711, 8873, 912, 1038, 8173, 1038, 562, 815, 7003, 19906, 994, 1038, 759, 815, 476, 271, 454, 1038, 840, 815, 476, 271, 454, 1038, 524, 660, 267, 2698, 815, 22388, 19572, 22388, 4590, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 512, 815, 840, 9745, 2855, 5157, 2639, 2018, 952, 512, 538, 524, 660, 912, 3546, 759, 6834, 524, 660, 314, 339, 316, 2608, 1775, 910, 2698, 314, 339, 2639, 2018, 524, 660, 314, 2181, 316, 6834, 476, 272, 454, 2018, 2698, 314, 2181, 316, 6834, 1775, 454, 2018, 840, 815, 512, 692, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2855, 815, 1496, 273, 267, 476, 274, 267, 476, 272, 267, 476, 277, 267, 476, 278, 2639, 825, 1820, 263, 11405, 14061, 12248, 31590, 921, 1206, 272, 19906, 4917, 825, 1820, 263, 11405, 14061, 12248, 31590, 921, 1206, 273, 19906, 4917, 0, 18411, 17637, 513, 16866, 4528, 540, 12108, 1141, 3755, 666, 2022, 17408, 1115, 267, 1246, 270, 684, 31742, 1776, 3593, 543, 568, 2111, 547, 1294, 519, 476, 1015, 1034, 2487, 17408, 1115, 538, 519, 3593, 781, 3377, 3049, 269, 2659, 1374, 1058, 1489, 519, 1739, 2409, 1384, 14006, 307, 11548, 263, 12528, 27306, 267, 512, 11548, 27306, 2567, 1290, 2821, 513, 1007, 512, 11548, 563, 1326, 21158, 293, 3975, 263, 12528, 27306, 2567, 4825, 4471, 557, 519, 476, 1015, 1034, 2487, 512, 11548, 476, 1749, 538, 519, 3593, 781, 3377, 3049, 269, 3962, 6221, 538, 519, 3377, 3049, 1590, 581, 11540, 676, 3755, 945, 519, 3593, 4553, 610, 676, 519, 3593, 9887, 269, 570, 933, 1115, 1590, 581, 10288, 689, 1034, 2487, 547, 2547, 2487, 563, 31742, 6600, 4772, 518, 27306, 267, 1246, 2465, 27306, 2567, 7427, 518, 5205, 513, 1246, 2465, 563, 684, 31742, 6600, 4772, 518, 27306, 267, 1246, 2465, 27306, 2567, 7427, 518, 4652, 4772, 338, 513, 1246, 2465, 563, 7078, 1384, 23562, 7867, 1000, 7867, 815, 1007, 12108, 3890, 16963, 2260, 14871, 476, 272, 9708, 513, 1007, 512, 11548, 630, 573, 815, 476, 276, 1916, 13512, 7867, 4877, 739, 307, 11548, 263, 272, 267, 476, 276, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 272, 512, 11548, 7329, 9847, 1496, 276, 14073, 13512, 7867, 10947, 21158, 293, 3975, 263, 272, 32007, 2260, 14871, 476, 272, 5205, 3593, 476, 273, 563, 13512, 7867, 8807, 4772, 263, 272, 267, 476, 273, 32007, 2260, 14871, 476, 273, 9708, 513, 1007, 512, 11548, 630, 573, 815, 476, 277, 1916, 13512, 7867, 4877, 739, 307, 11548, 263, 273, 267, 476, 277, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 273, 512, 11548, 476, 1749, 9847, 1496, 277, 267, 476, 276, 14073, 2260, 570, 11548, 7329, 476, 277, 1058, 9551, 324, 512, 11548, 7329, 476, 276, 1317, 621, 568, 11540, 1310, 512, 11548, 7329, 476, 276, 563, 13512, 7867, 10947, 21158, 293, 3975, 263, 272, 32007, 2260, 14871, 476, 272, 4652, 4772, 338, 3593, 476, 273, 563, 13512, 7867, 26509, 31742, 263, 272, 267, 476, 273, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 272, 512, 11548, 7329, 9847, 1496, 276, 16689, 2260, 2094, 3593, 476, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3460, 540, 669, 4377, 919, 5956, 689, 513, 3529, 2336, 763, 4062, 540, 10217, 1521, 602, 23900, 6013, 20386, 538, 519, 21684, 540, 513, 17711, 4558, 11438, 609, 621, 2984, 540, 1004, 538, 519, 3979, 11782, 945, 1332, 891, 9589, 9341, 4054, 269, 1306, 649, 4894, 519, 12109, 3899, 267, 649, 10625, 519, 23342, 6079, 267, 693, 519, 1482, 942, 649, 1921, 609, 519, 3504, 1004, 945, 8057, 873, 547, 519, 1034, 2413, 540, 519, 1480, 5198, 945, 946, 621, 607, 513, 3090, 540, 2648, 610, 607, 606, 12835, 547, 8661, 8788, 269, 27009, 267, 669, 4377, 919, 723, 1831, 606, 4948, 17195, 269, 932, 4377, 919, 616, 11593, 2139, 538, 15945, 607, 1134, 607, 2228, 269, 4653, 267, 1175, 3217, 513, 1906, 30390, 540, 519, 2780, 10856, 547, 10516, 513, 27974, 12064, 8423, 704, 538, 5177, 547, 707, 6068, 3283, 945, 3251, 972, 563, 763, 1650, 540, 891, 20386, 669, 4377, 919, 568, 1360, 993, 6748, 269, 898, 6238, 689, 519, 4054, 4422, 593, 547, 519, 16027, 779, 3946, 543, 7475, 909, 609, 596, 10438, 621, 269, 589, 10217, 1521, 602, 568, 15874, 5001, 814, 513, 1360, 16434, 4098, 269, 589, 23342, 21167, 6238, 922, 3460, 689, 3330, 519, 4829, 1634, 607, 513, 10540, 269, 1452, 10540, 338, 1332, 593, 4054, 1336, 538, 4639, 4000, 267, 3162, 3013, 543, 2694, 540, 3162, 7232, 770, 5607, 563, 290, 665, 10394, 4054, 616, 10347, 543, 4988, 609, 5810, 602, 991, 513, 2603, 540, 512, 2056, 269, 1358, 1332, 538, 9341, 7733, 538, 513, 6404, 8105, 7154, 609, 6666, 7031, 971, 607, 12285, 543, 20397, 269, 23081, 10394, 568, 7363, 6738, 676, 1507, 6705, 543, 789, 4734, 519, 3484, 1688, 335, 17673, 543, 1287, 16487, 538, 7047, 338, 563, 2691, 519, 23342, 10301, 519, 12051, 267, 621, 568, 2666, 543, 32314, 1310, 887, 8463, 269, 4495, 602, 568, 2944, 267, 789, 616, 4389, 547, 513, 13594, 267, 799, 568, 1634, 607, 10217, 4508, 528, 269, 901, 568, 4553, 676, 513, 3126, 540, 10296, 267, 12902, 267, 4946, 14836, 543, 18615, 8022, 543, 9023, 269, 4495, 782, 713, 568, 2944, 267, 621, 5012, 547, 519, 5250, 540, 10217, 21360, 563, 14549, 5198, 814, 7550, 519, 946, 540, 669, 4377, 919, 2094, 519, 10120, 2053, 269, 1656, 621, 3459, 538, 3162, 3013, 269, 2991, 602, 267, 1004, 782, 936, 519, 1158, 723, 1031, 669, 4377, 919, 689, 27955, 3676, 267, 547, 24886, 10971, 267, 585, 2648, 267, 585, 14812, 267, 547, 7639, 3728, 338, 267, 547, 20758, 1055, 20715, 7786, 543, 1085, 23705, 687, 543, 547, 10516, 741, 6068, 3283, 563, 290, 665, 10394, 2872, 2221, 568, 1360, 2462, 543, 827, 476, 2004, 2929, 1004, 616, 6964, 1934, 269, 1452, 1331, 782, 12204, 540, 1004, 689, 6705, 547, 4600, 547, 22730, 543, 536, 5474, 563, 763, 10217, 3046, 568, 10143, 547, 6492, 1317, 540, 519, 1259, 621, 16919, 543, 1287, 2220, 597, 3149, 543, 5283, 1206, 538, 707, 5023, 269, 28688, 24025, 609, 811, 982, 1079, 8536, 7657, 2293, 689, 11993, 547, 29877, 547, 24453, 543, 609, 1225, 7847, 269, 1924, 602, 2488, 513, 2647, 17198, 585, 1585, 10346, 563, 288, 3046, 540, 669, 4377, 919, 685, 2571, 1745, 543, 922, 855, 6670, 1310, 6492, 849, 2306, 621, 513, 3364, 547, 7287, 585, 1586, 543, 1586, 269, 1403, 596, 2972, 10217, 267, 596, 1131, 2972, 513, 2603, 540, 824, 4672, 1212, 4461, 543, 24301, 602, 723, 621, 607, 741, 1292, 12146, 563, 2691, 512, 8463, 513, 3046, 540, 10217, 602, 3947, 513, 10143, 4743, 950, 621, 4422, 1524, 707, 11563, 267, 621, 568, 2182, 547, 3494, 602, 782, 602, 3459, 689, 513, 3529, 269, 0, 1692, 547, 946, 5616, 2645, 538, 5741, 15369, 4804, 454, 2691, 596, 1589, 827, 930, 540, 519, 1883, 2934, 540, 5741, 15369, 4804, 630, 303, 13993, 1070, 1018, 798, 596, 1589, 540, 286, 623, 13993, 1058, 581, 2875, 12454, 267, 609, 513, 1483, 8996, 4276, 269, 898, 1058, 581, 4295, 547, 1565, 267, 1331, 11295, 5698, 267, 543, 723, 513, 15491, 4879, 269, 29179, 1053, 513, 1483, 1966, 547, 4194, 267, 3478, 873, 7722, 538, 741, 960, 267, 2348, 873, 960, 609, 1866, 267, 543, 12570, 741, 960, 609, 811, 982, 1175, 513, 3446, 4992, 513, 2603, 899, 875, 1082, 1919, 538, 519, 2048, 9418, 1158, 685, 960, 267, 3085, 1406, 621, 286, 2991, 782, 267, 5749, 1406, 649, 3843, 547, 5965, 1053, 585, 519, 1158, 1310, 1153, 286, 3509, 540, 519, 10509, 2645, 1031, 538, 13460, 616, 1500, 2523, 585, 13460, 269, 5616, 2645, 543, 1788, 1759, 1565, 12020, 281, 7316, 798, 596, 1376, 950, 14045, 593, 513, 1788, 707, 1053, 786, 6108, 1713, 942, 593, 267, 723, 930, 2161, 538, 267, 602, 786, 2232, 513, 1297, 540, 1565, 3853, 543, 581, 6209, 543, 4143, 286, 769, 11431, 281, 4495, 596, 4076, 4956, 1018, 519, 1053, 786, 581, 2519, 593, 267, 789, 3580, 991, 811, 1344, 593, 519, 1888, 563, 16665, 281, 623, 13993, 586, 9474, 303, 454, 1892, 5741, 9122, 4804, 454, 1892, 623, 13993, 476, 273, 454, 1892, 623, 13993, 6092, 0, 5495, 303, 630, 1001, 278, 264, 554, 11486, 476, 277, 3066, 653, 11278, 10219, 630, 25835, 476, 7818, 25171, 4817, 278, 276, 5325, 274, 994, 3080, 540, 519, 1034, 11495, 543, 11972, 2853, 540, 3400, 324, 1723, 7304, 2674, 25196, 729, 519, 3134, 15572, 673, 4356, 267, 602, 568, 267, 519, 12402, 540, 4357, 2043, 267, 12205, 543, 2950, 547, 1118, 946, 540, 6149, 543, 4496, 1202, 18587, 547, 2594, 741, 8852, 543, 547, 2099, 741, 2238, 543, 6228, 269, 2368, 540, 891, 1202, 18587, 2611, 538, 2198, 855, 513, 1279, 1686, 540, 4015, 630, 663, 726, 8974, 264, 1797, 602, 1082, 723, 1044, 6410, 547, 15882, 2066, 2342, 543, 3345, 3013, 267, 1141, 513, 29341, 12102, 616, 593, 1857, 4159, 269, 630, 288, 7415, 4015, 6818, 538, 519, 9210, 15572, 673, 7467, 538, 3844, 18603, 267, 799, 568, 6131, 547, 5259, 1202, 18587, 1916, 5804, 519, 2038, 2413, 1974, 267, 3504, 5259, 1202, 18587, 723, 1044, 3370, 538, 23939, 1790, 22004, 267, 20380, 267, 7199, 21820, 1510, 8144, 543, 609, 7778, 538, 5824, 269, 8616, 2094, 519, 3735, 13524, 2540, 267, 4911, 331, 25869, 5640, 723, 3370, 25926, 540, 1202, 18587, 630, 17141, 11280, 607, 2048, 23208, 769, 27771, 687, 32426, 609, 6085, 2456, 799, 2832, 547, 1118, 873, 3015, 547, 513, 9962, 5304, 543, 538, 1880, 1346, 945, 616, 5461, 538, 741, 10409, 543, 3140, 4644, 563, 305, 327, 3941, 543, 14642, 13871, 779, 5542, 267, 13886, 5259, 8466, 769, 27771, 687, 476, 29024, 268, 26825, 7460, 32372, 4629, 1070, 13264, 1007, 2666, 538, 476, 1220, 274, 676, 13629, 2296, 16627, 540, 1202, 18587, 7258, 519, 5259, 5931, 543, 6085, 2456, 269, 634, 1699, 4320, 32372, 3036, 264, 5205, 519, 1482, 4806, 282, 23622, 593, 1202, 18587, 540, 519, 1974, 476, 275, 4281, 268, 29024, 7460, 267, 621, 30283, 519, 8106, 13980, 540, 2725, 580, 7714, 543, 11066, 685, 8466, 769, 27771, 687, 547, 519, 7736, 540, 519, 25004, 11416, 7460, 32372, 7876, 5148, 538, 741, 2776, 2183, 519, 15769, 5815, 602, 1776, 4320, 267, 6131, 547, 519, 2895, 24191, 1974, 267, 786, 1246, 267, 547, 5372, 519, 4505, 6810, 540, 16066, 563, 763, 4367, 547, 713, 4320, 2488, 606, 5140, 4367, 547, 519, 7613, 540, 3134, 15572, 673, 8313, 543, 922, 1353, 269, 26346, 6085, 2456, 1747, 519, 1202, 18587, 538, 741, 3140, 543, 2686, 2796, 543, 2709, 606, 909, 3562, 15082, 7650, 540, 14046, 27900, 269, 9717, 602, 1896, 1271, 23723, 1014, 6054, 5892, 8655, 547, 519, 4571, 268, 276, 628, 595, 593, 519, 4493, 540, 4484, 3029, 723, 1631, 1044, 1524, 1673, 730, 676, 1079, 610, 811, 5756, 630, 628, 3471, 547, 519, 960, 540, 29733, 4223, 1154, 569, 543, 1866, 1070, 891, 6085, 2456, 616, 1898, 2542, 585, 3610, 540, 519, 11359, 10601, 4559, 538, 744, 10135, 779, 589, 30071, 767, 9147, 3778, 630, 5408, 16555, 593, 1100, 269, 476, 14917, 264, 543, 585, 4896, 3116, 609, 606, 1719, 538, 519, 8106, 2085, 540, 5259, 3778, 269, 901, 1433, 267, 1287, 267, 786, 581, 606, 1271, 1007, 11601, 585, 1346, 1153, 8021, 799, 723, 519, 2200, 547, 6718, 621, 630, 534, 552, 26247, 4528, 568, 4397, 538, 1813, 1576, 1916, 288, 1492, 985, 32737, 519, 2749, 609, 519, 1034, 30508, 1857, 3134, 15572, 673, 4356, 538, 519, 11359, 2540, 7460, 28934, 8167, 2299, 1134, 3146, 335, 18677, 538, 519, 4015, 267, 2523, 676, 27485, 3526, 525, 540, 922, 10198, 282, 855, 1202, 18587, 3541, 1516, 689, 824, 18013, 609, 1713, 3134, 15572, 673, 12326, 267, 971, 607, 1975, 21840, 630, 333, 657, 269, 476, 12208, 267, 476, 12553, 267, 476, 14681, 267, 476, 4572, 1070, 774, 553, 657, 630, 9818, 268, 275, 267, 476, 12293, 268, 278, 264, 543, 14803, 657, 630, 9340, 267, 476, 14695, 267, 476, 13679, 264, 3138, 558, 1804, 282, 7254, 9822, 2456, 799, 941, 519, 23700, 540, 4142, 10716, 2408, 4749, 1932, 630, 302, 9805, 807, 281, 476, 10755, 267, 476, 12208, 267, 476, 9610, 267, 476, 13932, 282, 5548, 12978, 281, 476, 14138, 267, 476, 15946, 267, 476, 4572, 1040, 10815, 1134, 8153, 2694, 540, 519, 5259, 1158, 616, 849, 6719, 281, 519, 19636, 15224, 585, 519, 10370, 857, 534, 30552, 770, 717, 1120, 529, 24283, 689, 2473, 13183, 657, 538, 17335, 5607, 19724, 630, 4350, 994, 3080, 540, 519, 1034, 3078, 1919, 827, 2542, 713, 4015, 568, 1483, 2358, 875, 1202, 18587, 6318, 513, 5458, 2039, 540, 2055, 827, 8106, 5259, 2528, 267, 1686, 543, 1893, 269, 634, 10723, 1876, 689, 17286, 19434, 538, 24558, 1176, 630, 12893, 1070, 585, 3236, 267, 5638, 5528, 827, 24279, 547, 1346, 2404, 609, 519, 2126, 540, 519, 4666, 282, 621, 10741, 909, 5380, 593, 519, 2078, 1063, 519, 10971, 543, 824, 16750, 7060, 269, 769, 30533, 539, 6589, 540, 7254, 9822, 2456, 630, 16328, 267, 476, 15704, 267, 476, 8182, 264, 6542, 519, 4644, 540, 2883, 2359, 547, 519, 11454, 7245, 543, 519, 9962, 2804, 1909, 540, 7254, 9822, 2456, 269, 634, 16199, 545, 7568, 28045, 1876, 593, 31713, 3959, 5267, 602, 519, 594, 4577, 9904, 543, 13172, 941, 1031, 538, 4173, 617, 582, 639, 685, 1753, 2749, 267, 1256, 1498, 621, 729, 3622, 9833, 607, 513, 667, 7595, 11175, 630, 15171, 1040, 769, 27771, 687, 2709, 4244, 5380, 593, 11359, 10601, 23723, 1014, 1379, 281, 1946, 941, 519, 23723, 2103, 865, 5461, 538, 2961, 12949, 1014, 2166, 12304, 2914, 797, 630, 15793, 21663, 1656, 1946, 1705, 789, 2154, 741, 16167, 547, 4142, 6510, 1101, 1922, 21209, 693, 18479, 639, 529, 630, 15221, 21663, 1548, 1281, 519, 2048, 18184, 1841, 685, 31885, 630, 14028, 264, 2995, 721, 827, 519, 1377, 543, 1106, 540, 23723, 1014, 6304, 286, 1284, 1205, 513, 2070, 540, 5095, 5258, 936, 519, 2243, 540, 14336, 4800, 609, 519, 23723, 2103, 630, 13199, 267, 476, 10082, 1070, 875, 519, 23723, 2103, 30039, 1202, 11107, 538, 741, 24027, 4872, 630, 7277, 264, 543, 519, 2081, 538, 799, 930, 2950, 9976, 19802, 689, 519, 23723, 2103, 630, 11260, 1916, 303, 29176, 568, 267, 540, 1576, 267, 606, 1271, 6249, 538, 713, 4015, 269, 1717, 267, 930, 540, 519, 2462, 4408, 540, 11359, 10601, 1686, 616, 17736, 545, 6681, 676, 741, 9000, 281, 519, 2012, 3131, 1731, 956, 5526, 1152, 2899, 538, 11359, 10601, 23723, 1014, 3526, 525, 630, 514, 513, 17468, 2796, 676, 4704, 547, 1010, 14930, 281, 30312, 594, 23326, 476, 5392, 264, 543, 602, 30115, 1281, 711, 2408, 538, 713, 4015, 282, 4277, 569, 267, 1325, 330, 756, 328, 3547, 5526, 7466, 607, 519, 3981, 518, 540, 21308, 630, 6977, 267, 476, 5908, 1916, 4263, 930, 2798, 1202, 18587, 1450, 721, 547, 1039, 547, 2984, 1634, 2907, 689, 519, 5339, 2959, 281, 476, 15094, 538, 713, 10070, 6645, 721, 1018, 5949, 547, 519, 3959, 540, 519, 19555, 758, 641, 573, 2967, 269, 476, 9692, 267, 519, 1178, 4034, 821, 540, 519, 23723, 1014, 17308, 612, 3733, 337, 9071, 710, 267, 5267, 2009, 7681, 609, 513, 2101, 1915, 538, 14163, 2684, 6951, 685, 700, 903, 626, 337, 1092, 269, 2311, 824, 2798, 5339, 5931, 616, 1271, 547, 519, 11808, 540, 23650, 776, 1202, 18587, 281, 476, 13679, 568, 17468, 593, 519, 4493, 540, 774, 1075, 11770, 1938, 685, 2272, 540, 519, 19710, 1063, 18603, 543, 519, 19994, 641, 517, 5886, 1014, 2829, 540, 476, 22213, 7460, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 2467, 616, 5810, 602, 616, 711, 1152, 7839, 267, 855, 849, 5827, 267, 952, 711, 2953, 1022, 20924, 538, 513, 8768, 4677, 610, 4677, 267, 1287, 693, 2547, 3382, 909, 543, 24320, 1047, 28336, 2030, 902, 269, 2290, 540, 891, 568, 519, 1579, 5448, 630, 2193, 727, 264, 8768, 269, 6270, 513, 8748, 2030, 568, 4502, 3478, 547, 917, 1732, 563, 268, 13517, 540, 519, 1579, 5448, 2030, 454, 268, 7581, 5448, 538, 519, 4677, 454, 268, 31896, 543, 12391, 585, 15441, 454, 20373, 540, 519, 1579, 5448, 2030, 454, 290, 548, 5448, 568, 606, 5993, 610, 536, 1329, 333, 658, 10786, 17675, 610, 10859, 6879, 13041, 2030, 689, 519, 7581, 558, 19687, 1920, 267, 540, 519, 1931, 16410, 12237, 269, 634, 12593, 568, 3833, 3875, 267, 621, 2882, 811, 982, 476, 10204, 2249, 269, 1452, 5810, 1332, 3592, 10876, 912, 268, 538, 2342, 454, 268, 538, 3345, 4000, 454, 268, 538, 3013, 454, 290, 548, 727, 781, 11710, 616, 2786, 267, 2864, 3532, 267, 609, 2919, 4839, 4221, 538, 519, 5580, 851, 269, 634, 4463, 540, 519, 11710, 568, 909, 547, 476, 5611, 4699, 269, 2311, 519, 5377, 267, 519, 6565, 949, 723, 31429, 1881, 2127, 269, 27817, 267, 22534, 616, 4988, 609, 24827, 269, 634, 24827, 616, 14189, 983, 267, 20202, 269, 27817, 616, 4620, 2723, 622, 267, 14595, 267, 533, 4883, 622, 269, 589, 1769, 3039, 6978, 609, 2947, 267, 10355, 5722, 3762, 563, 763, 5810, 723, 1279, 26106, 802, 543, 2185, 24968, 269, 634, 5810, 616, 909, 547, 476, 274, 4699, 538, 8006, 269, 634, 24968, 616, 1034, 1419, 540, 782, 18707, 540, 11909, 267, 13711, 267, 596, 666, 1265, 15441, 609, 3043, 267, 561, 559, 659, 267, 13711, 610, 5835, 5810, 269, 26540, 616, 6394, 538, 10690, 13421, 269, 769, 1747, 540, 5810, 267, 513, 10540, 11057, 4829, 18009, 839, 910, 513, 4216, 909, 547, 476, 274, 4699, 538, 2450, 269, 3509, 2010, 540, 1579, 5448, 723, 5810, 602, 1413, 899, 20151, 269, 1280, 713, 16726, 538, 6576, 267, 519, 8768, 729, 3957, 17178, 563, 4517, 538, 4789, 267, 513, 2030, 568, 1572, 513, 15441, 910, 513, 17178, 10502, 1317, 540, 922, 5920, 267, 543, 711, 1317, 540, 922, 2392, 2218, 6208, 269, 901, 1826, 540, 1579, 727, 568, 2016, 676, 28608, 6094, 26176, 839, 269, 4107, 2249, 16036, 585, 513, 1360, 1279, 942, 269, 769, 15489, 267, 2394, 519, 1360, 15470, 267, 5810, 543, 22691, 5613, 666, 581, 4767, 593, 519, 2030, 693, 519, 1482, 942, 269, 769, 519, 3552, 267, 23153, 12202, 543, 538, 519, 30120, 540, 17260, 267, 596, 666, 1034, 1419, 1265, 519, 2010, 540, 713, 2030, 912, 268, 533, 4459, 569, 1579, 5448, 454, 268, 1579, 5448, 12457, 880, 454, 268, 6177, 20356, 539, 1579, 5448, 454, 2005, 568, 29810, 602, 12457, 880, 1579, 5448, 568, 1031, 538, 519, 24272, 22057, 1065, 28362, 923, 607, 513, 25970, 4005, 532, 609, 513, 28401, 8137, 269, 7581, 5448, 7718, 919, 519, 4677, 538, 1312, 2582, 543, 1895, 2030, 902, 269, 6733, 338, 1434, 1985, 547, 2479, 26572, 839, 269, 1411, 666, 2030, 519, 15441, 17401, 2614, 543, 621, 786, 1711, 513, 4282, 585, 824, 9207, 1242, 5810, 563, 290, 548, 5448, 814, 513, 1360, 16990, 10347, 9329, 267, 621, 24643, 1082, 3542, 3215, 7786, 267, 865, 10448, 15135, 666, 581, 5116, 1985, 547, 621, 269, 2368, 540, 519, 555, 1941, 1465, 540, 519, 2030, 568, 4625, 4988, 676, 922, 20498, 5920, 269, 6969, 9544, 519, 1579, 5448, 267, 596, 991, 547, 3442, 513, 5078, 1747, 585, 621, 563, 290, 548, 5448, 538, 519, 4677, 454, 763, 32529, 1281, 711, 2154, 2027, 4170, 585, 519, 3135, 540, 9544, 543, 6028, 519, 1579, 5448, 269, 634, 8768, 12851, 547, 1346, 2371, 602, 723, 1044, 12630, 543, 16618, 269, 7581, 5448, 786, 7618, 9887, 540, 9887, 609, 669, 545, 543, 8966, 5810, 269, 634, 1152, 3364, 547, 3314, 568, 602, 1579, 5448, 568, 12922, 540, 4411, 4365, 269, 634, 942, 585, 9544, 538, 519, 4677, 2501, 1310, 519, 3463, 540, 15470, 814, 5293, 563, 290, 548, 5448, 8768, 593, 3381, 267, 2070, 7650, 912, 763, 2030, 568, 1360, 3141, 2000, 8221, 543, 5687, 30858, 282, 621, 568, 1732, 547, 1747, 621, 538, 1134, 2000, 527, 4025, 269, 7581, 5448, 786, 1332, 538, 519, 12094, 267, 855, 1083, 13926, 7907, 786, 711, 581, 4628, 28955, 269, 634, 2030, 2115, 513, 3037, 609, 513, 9243, 5114, 267, 621, 666, 581, 5116, 593, 5594, 15755, 610, 5594, 22279, 11934, 609, 1434, 12775, 269, 634, 2030, 1281, 711, 20496, 1216, 8421, 3101, 543, 24715, 656, 1216, 269, 769, 14450, 267, 519, 1579, 5448, 695, 337, 3855, 538, 513, 3226, 3819, 4832, 563, 763, 1034, 2442, 2010, 540, 1579, 5448, 912, 268, 10348, 22269, 454, 268, 10348, 13711, 454, 268, 681, 9926, 2586, 1263, 514, 267, 11909, 5810, 454, 268, 27951, 25968, 918, 6686, 1087, 523, 267, 11909, 5810, 267, 1804, 454, 268, 13642, 8141, 2401, 267, 21221, 267, 5835, 454, 268, 24796, 918, 655, 4252, 267, 3043, 5810, 454, 268, 7822, 674, 517, 1555, 8696, 267, 24352, 565, 1819, 454, 2252, 519, 3099, 568, 6074, 267, 1287, 621, 3788, 1152, 547, 2030, 621, 7157, 563, 5522, 13589, 543, 12391, 585, 15441, 454, 290, 548, 5448, 9070, 919, 676, 5452, 269, 898, 666, 581, 6738, 912, 268, 998, 521, 12976, 19155, 454, 268, 521, 12976, 538, 519, 2666, 1354, 5162, 454, 268, 521, 12976, 538, 519, 2666, 538, 5614, 454, 1103, 1840, 267, 952, 972, 568, 2907, 513, 1579, 5448, 538, 519, 4677, 267, 621, 11148, 547, 1582, 5498, 5338, 269, 898, 3788, 1152, 538, 519, 5614, 547, 13003, 519, 19155, 547, 519, 1318, 1747, 269, 19663, 1579, 5448, 998, 19155, 568, 711, 1454, 1114, 689, 3395, 19155, 540, 824, 5993, 5810, 269, 590, 12976, 942, 568, 4728, 269, 16721, 1563, 10833, 616, 4904, 609, 3037, 269, 1411, 666, 1491, 4712, 13402, 23399, 585, 22648, 7031, 610, 3575, 707, 1378, 4677, 3037, 609, 5070, 543, 24435, 538, 3160, 2694, 563, 27770, 626, 523, 519, 3037, 543, 3262, 519, 5452, 1354, 9544, 269, 14109, 30257, 873, 609, 3618, 593, 1283, 609, 513, 4494, 540, 827, 476, 272, 4699, 543, 3382, 609, 4837, 269, 23268, 13530, 2408, 5631, 538, 1079, 4374, 269, 2991, 519, 11944, 540, 19155, 267, 12391, 585, 873, 568, 4389, 547, 14450, 543, 267, 952, 2556, 267, 547, 513, 4584, 269, 634, 19155, 616, 1098, 680, 5896, 547, 513, 8628, 1747, 538, 3735, 2904, 910, 2038, 4873, 563, 2005, 568, 1271, 547, 3314, 602, 519, 2030, 7109, 919, 13003, 532, 1134, 1152, 693, 519, 1360, 4098, 540, 922, 2208, 269, 4475, 267, 952, 519, 1579, 5448, 729, 711, 521, 1144, 538, 1367, 17428, 267, 1287, 519, 19155, 1058, 581, 546, 1882, 883, 5094, 11680, 865, 602, 519, 3597, 1062, 568, 711, 8697, 950, 1098, 680, 5896, 883, 1930, 2666, 563, 299, 21505, 538, 519, 2666, 454, 1103, 5614, 267, 5452, 616, 521, 1144, 538, 519, 5423, 3037, 538, 3735, 4989, 910, 2038, 2904, 267, 950, 519, 3037, 2112, 916, 909, 1134, 269, 2506, 5523, 3429, 538, 519, 2666, 909, 547, 476, 272, 269, 276, 4699, 269, 6969, 5162, 267, 521, 12976, 568, 5645, 856, 693, 519, 1439, 540, 5181, 910, 4571, 268, 19751, 267, 4470, 593, 519, 2916, 269, 2506, 5523, 3429, 538, 519, 2666, 547, 513, 3178, 540, 476, 273, 4699, 269, 2991, 32750, 538, 519, 2666, 267, 519, 5127, 568, 15273, 3481, 609, 513, 4494, 540, 1208, 639, 563, 5475, 519, 11944, 540, 19155, 267, 12391, 585, 1762, 2371, 568, 4389, 547, 9427, 18047, 543, 14450, 952, 2556, 563, 2005, 568, 1732, 547, 14462, 1447, 1419, 267, 855, 811, 10731, 569, 267, 3850, 519, 3037, 547, 3819, 856, 1063, 1216, 902, 269, 898, 568, 19624, 547, 21383, 835, 610, 1079, 2053, 609, 513, 3070, 540, 11379, 7989, 22462, 622, 585, 519, 6604, 540, 3676, 269, 2060, 1022, 1505, 540, 14713, 267, 3049, 519, 15441, 1282, 519, 15496, 1974, 609, 1950, 13226, 1169, 476, 1321, 910, 476, 1691, 2395, 269, 4634, 609, 8766, 1416, 267, 1579, 5448, 786, 10508, 519, 3750, 609, 922, 6264, 328, 846, 5810, 269, 0, 289, 9618, 520, 7356, 320, 5741, 568, 28020, 1634, 607, 3127, 781, 6095, 1633, 1788, 543, 568, 513, 31344, 958, 23032, 11036, 540, 519, 4095, 2229, 269, 7201, 519, 6090, 529, 540, 519, 12080, 540, 10003, 13255, 543, 4400, 1811, 267, 519, 32038, 520, 7356, 320, 1788, 568, 606, 22597, 1788, 547, 2087, 519, 2197, 781, 4155, 5989, 269, 898, 1131, 7449, 2541, 782, 519, 4540, 4155, 3785, 563, 763, 7882, 1054, 1788, 1131, 1683, 3127, 609, 476, 2004, 3084, 23725, 832, 267, 799, 1131, 1683, 1732, 6283, 585, 936, 476, 3583, 547, 476, 3199, 829, 1298, 540, 519, 19057, 267, 607, 10353, 547, 519, 1699, 476, 2412, 829, 1298, 269, 26094, 540, 519, 11344, 29105, 543, 519, 3345, 4149, 1926, 543, 5101, 8862, 652, 23725, 832, 616, 519, 1883, 989, 31789, 540, 519, 31344, 958, 23032, 1788, 563, 14611, 853, 820, 6868, 2986, 634, 5741, 454, 763, 2565, 8639, 585, 519, 32038, 520, 7356, 320, 1788, 616, 519, 2817, 4400, 1811, 4886, 5741, 630, 26822, 7894, 1070, 519, 12080, 540, 10003, 13255, 543, 4400, 1811, 267, 1744, 6235, 543, 4826, 8249, 267, 5211, 4886, 1299, 717, 18553, 1234, 27896, 566, 269, 634, 1788, 1131, 1445, 593, 26738, 7269, 267, 4070, 540, 8258, 268, 30030, 267, 21271, 525, 267, 17825, 11614, 543, 11506, 23725, 832, 585, 513, 5347, 3991, 7781, 3350, 269, 898, 568, 1305, 547, 1921, 476, 20862, 13102, 540, 519, 2197, 609, 2817, 4400, 1811, 267, 6466, 4867, 267, 1152, 476, 4968, 13102, 1106, 513, 851, 540, 519, 3084, 19814, 5547, 563, 763, 2229, 6663, 547, 1020, 1617, 574, 27567, 17825, 11614, 543, 9004, 1781, 651, 2798, 267, 547, 2087, 519, 4398, 540, 519, 4540, 23725, 832, 269, 634, 1788, 1131, 21592, 519, 5348, 25489, 998, 24654, 25825, 602, 519, 1646, 540, 519, 27040, 23725, 528, 1131, 1246, 563, 2690, 1022, 3384, 2197, 267, 519, 8298, 2524, 13437, 12039, 630, 10861, 296, 264, 9711, 607, 513, 25162, 532, 1907, 547, 2697, 519, 2591, 543, 3255, 538, 1899, 609, 519, 1788, 781, 5075, 269, 4475, 267, 519, 32038, 520, 7356, 320, 1788, 568, 3127, 781, 914, 585, 4824, 2773, 538, 519, 700, 18444, 269, 634, 1788, 568, 5258, 883, 5722, 11775, 1317, 540, 519, 22406, 9588, 540, 519, 4305, 269, 634, 1292, 8561, 568, 593, 4824, 2029, 543, 3621, 4058, 585, 10697, 5464, 543, 1788, 7041, 269, 634, 1101, 5123, 540, 519, 32038, 520, 7356, 320, 1788, 568, 4397, 547, 9959, 676, 476, 1708, 273, 563, 13707, 20099, 1280, 634, 3689, 18001, 454, 763, 2698, 3259, 540, 4155, 1646, 538, 519, 1101, 5123, 540, 519, 32038, 520, 7356, 320, 1788, 568, 476, 4097, 267, 8517, 21240, 269, 4934, 540, 519, 2698, 267, 519, 2804, 23725, 832, 1131, 17663, 519, 5021, 2671, 540, 476, 280, 267, 1822, 21240, 269, 634, 954, 2275, 528, 5090, 528, 543, 28680, 11507, 616, 7229, 693, 5176, 476, 277, 267, 1822, 5998, 267, 543, 476, 276, 267, 1822, 5998, 1131, 2887, 896, 519, 2817, 4856, 5090, 832, 21252, 5358, 269, 18766, 689, 519, 536, 604, 584, 322, 566, 607, 5018, 4505, 267, 519, 1788, 568, 849, 1305, 547, 1832, 11735, 827, 476, 273, 267, 1822, 5998, 585, 9381, 543, 2823, 14479, 9897, 269, 634, 2769, 3118, 540, 5176, 476, 8517, 5998, 543, 513, 7372, 476, 1015, 267, 1822, 5998, 1131, 2887, 896, 519, 19760, 7894, 9897, 563, 763, 1646, 540, 891, 28565, 568, 4397, 547, 2333, 519, 3328, 3432, 540, 519, 6472, 676, 476, 1240, 829, 1298, 543, 2569, 519, 5832, 1942, 540, 6283, 676, 513, 1713, 476, 277, 829, 1298, 269, 634, 5742, 22277, 1185, 21330, 547, 519, 1208, 784, 748, 3785, 543, 1185, 21248, 513, 2508, 540, 19238, 373, 277, 269, 10844, 32763, 5186, 516, 267, 856, 540, 799, 519, 32038, 520, 7356, 320, 623, 926, 14623, 329, 3570, 3838, 19238, 373, 276, 269, 3374, 32763, 5186, 516, 267, 634, 4095, 18124, 4080, 269, 634, 1788, 568, 4397, 547, 1683, 6634, 540, 7694, 3255, 269, 8307, 519, 4155, 4070, 5650, 729, 4397, 547, 556, 601, 856, 476, 1911, 2929, 1268, 1673, 904, 540, 960, 267, 1152, 547, 581, 4553, 676, 1776, 476, 2420, 2929, 6009, 1317, 540, 2799 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1346, 945, 616, 540, 6519, 267, 4563, 267, 610, 6404, 5198, 269, 15272, 945, 616, 540, 6404, 5198, 267, 723, 2362, 12918, 540, 15267, 946, 3379, 547, 6107, 945, 616, 6519, 269, 14579, 23899, 6107, 941, 849, 1447, 2693, 547, 946, 15267, 982, 5065, 23899, 6107, 538, 4516, 267, 4352, 713, 9775, 585, 1114, 17801, 528, 18432, 2516, 269, 20523, 1702, 540, 3309, 5095, 543, 519, 1950, 2188, 1644, 547, 17801, 528, 18432, 4282, 616, 2877, 547, 3589, 946, 540, 15267, 1851, 6107, 563, 1607, 3194, 10965, 2355, 14653, 5654, 693, 519, 2376, 267, 968, 20685, 24335, 18432, 3604, 538, 15267, 946, 1851, 5065, 268, 4535, 543, 4914, 23899, 1164, 1153, 1053, 538, 14411, 2223, 3370, 538, 519, 4750, 540, 23532, 640, 538, 28548, 18816, 538, 476, 1001, 279, 269, 3194, 10965, 2355, 32718, 616, 5618, 267, 2312, 1893, 24096, 540, 1382, 4930, 267, 4843, 538, 513, 3593, 7888, 3898, 563, 5649, 519, 3194, 10965, 2355, 14653, 2630, 610, 4647, 519, 7300, 563, 1432, 568, 713, 1382, 827, 888, 7212, 972, 568, 513, 2603, 540, 1382, 593, 6107, 543, 15267, 946, 267, 1034, 798, 711, 2015, 11776, 543, 17801, 528, 18432, 4282, 269, 8409, 2090, 602, 4983, 891, 2188, 4043, 547, 4125, 1507, 1895, 5439, 602, 798, 711, 2992, 14411, 779, 3309, 2551, 269, 1280, 891, 4128, 267, 621, 568, 1271, 547, 8415, 1804, 5439, 547, 4983, 2436, 891, 2516, 723, 1114, 1072, 1981, 19326, 267, 547, 1217, 519, 1646, 540, 2500, 543, 6098, 6604, 3646, 563, 1103, 713, 1353, 267, 14411, 3173, 6743, 693, 2436, 14411, 1164, 1153, 1053, 685, 946, 540, 15267, 4268, 676, 741, 17801, 528, 18432, 4282, 543, 2436, 789, 616, 4914, 23899, 610, 5065, 23899, 563, 1432, 1705, 519, 3173, 798, 888, 763, 3173, 1031, 1239, 689, 519, 14411, 9906, 10684, 2422, 543, 2657, 5619, 630, 5308, 291, 308, 9391, 1070, 513, 3444, 22891, 5619, 602, 814, 3144, 1747, 1169, 1079, 1296, 2094, 476, 3192, 278, 563, 2005, 568, 513, 11347, 543, 11662, 17253, 5619, 540, 1053, 538, 24110, 476, 278, 998, 476, 1321, 538, 15597, 30845, 3506, 602, 12116, 6219, 946, 267, 13989, 267, 32592, 550, 7180, 267, 543, 2790, 543, 2168, 1072, 269, 1280, 713, 1353, 267, 519, 3173, 1031, 1239, 689, 519, 476, 1001, 272, 543, 476, 1001, 274, 5619, 543, 1152, 6743, 693, 1053, 538, 24110, 476, 280, 268, 1321, 563, 1432, 1705, 519, 3173, 1265, 888, 10743, 540, 3162, 7489, 610, 5101, 13478, 11322, 7489, 10080, 1185, 2539, 12918, 540, 1210, 15267, 982, 1346, 540, 6519, 267, 4563, 267, 610, 6404, 5198, 630, 19669, 543, 1776, 17801, 528, 18432, 1895, 1040, 15272, 540, 6404, 5198, 1185, 2362, 12918, 540, 1210, 15267, 3379, 547, 6519, 6107, 269, 4563, 1053, 941, 711, 3648, 1114, 689, 6519, 267, 21337, 267, 543, 6404, 268, 15869, 1053, 538, 2474, 540, 15267, 946, 538, 519, 476, 1321, 3275, 1354, 789, 3576, 851, 538, 519, 5619, 269, 14579, 23899, 1053, 849, 1185, 2539, 12918, 540, 1210, 15267, 982, 1053, 4535, 538, 4516, 267, 855, 713, 849, 9867, 585, 930, 4914, 23899, 6107, 267, 4470, 593, 741, 17801, 528, 18432, 4282, 563, 1692, 666, 596, 946, 713, 1382, 888, 1607, 1353, 568, 3226, 1271, 538, 1769, 540, 519, 1699, 15267, 3656, 1436, 5251, 538, 4516, 269, 2052, 10109, 529, 568, 519, 1034, 4122, 1031, 28302, 3075, 1851, 6107, 538, 14411, 267, 543, 609, 519, 11662, 2348, 519, 5207, 8167, 540, 4914, 23899, 7264, 538, 519, 2197, 267, 621, 568, 1271, 547, 1174, 519, 2188, 602, 3589, 922, 946, 1851, 6107, 563, 21918, 14591, 543, 1985, 3268, 454, 763, 7687, 540, 713, 1353, 1331, 519, 3376, 11008, 3074, 540, 17801, 528, 18432, 10080, 8947, 269, 589, 3677, 3732, 2450, 1223, 1397, 811, 2143, 4205, 1063, 19366, 4567, 267, 17801, 528, 18432, 4282, 267, 543, 15267, 946, 269, 769, 1840, 267, 519, 5619, 5654, 1152, 693, 1053, 538, 15597, 30845, 3506, 267, 865, 621, 1281, 711, 1683, 513, 1413, 693, 15267, 946, 1851, 1053, 538, 4357, 543, 824, 2010, 540, 3506, 563, 10666, 519, 3173, 454, 295, 599, 2917, 589, 269, 16803, 272, 267, 13019, 13195, 328, 15083, 639, 340, 5174, 11391, 1695, 273, 267, 4911, 11253, 4425, 752, 274, 267, 7917, 28553, 275, 454, 272, 4659, 585, 10076, 2657, 8889, 3194, 267, 10418, 585, 24251, 543, 10076, 2657, 630, 290, 4456, 295, 5148, 667, 718, 320, 700, 3570, 3427, 540, 5398, 2657, 267, 2160, 540, 17842, 630, 308, 540, 570, 994, 273, 4972, 540, 24205, 267, 2160, 540, 17842, 267, 17842, 454, 274, 4659, 585, 10076, 2657, 8889, 3194, 267, 595, 4456, 295, 267, 17842, 454, 275, 4659, 585, 10076, 2657, 8889, 3194, 267, 595, 4456, 295, 282, 667, 718, 320, 700, 3570, 3427, 540, 5398, 2657, 267, 772, 540, 570, 454, 1607, 3194, 10965, 2355, 14653, 568, 1759, 593, 519, 2376, 267, 968, 20685, 24335, 18432, 3604, 538, 15267, 946, 1851, 5065, 23899, 543, 4914, 23899, 1164, 1153, 1053, 538, 14411, 2223, 3370, 538, 519, 4750, 540, 23532, 640, 538, 28548, 18816, 267, 476, 1001, 279, 267, 476, 1704, 263, 273, 2567, 11277, 268, 16328, 563, 3849, 3421, 30105, 267, 15267, 946, 267, 14940, 267, 19366, 4567, 267, 5198, 267, 6107, 0, 8794, 3619, 2414, 9751, 547, 11120, 4106, 622, 4804, 454, 8702, 547, 519, 1576, 256, 1403, 596, 2811, 1934, 267, 596, 2811, 5461, 538, 1565, 875, 3619, 2414, 20051, 666, 4324, 596, 538, 707, 6030, 267, 607, 1134, 607, 875, 946, 922, 2934, 547, 3986, 543, 2708, 707, 6030, 563, 8923, 1745, 1863, 547, 512, 11548, 707, 4555, 2429, 519, 1362, 10467, 267, 610, 952, 596, 2097, 2066, 4376, 4143, 547, 1362, 1282, 707, 1554, 269, 1280, 713, 1362, 267, 649, 3513, 946, 519, 814, 6255, 698, 1948, 7883, 2414, 11764, 1067, 1001, 274, 454, 1607, 786, 1293, 2509, 707, 7589, 267, 543, 594, 786, 849, 581, 1210, 713, 607, 606, 6268, 1907, 585, 519, 1362, 3294, 563, 268, 2608, 1280, 707, 1101, 512, 11548, 267, 5225, 1577, 803, 917, 707, 2012, 267, 543, 4766, 3054, 609, 519, 6967, 3197, 269, 2142, 3860, 543, 3314, 547, 814, 6255, 698, 2336, 3528, 519, 1439, 540, 713, 1576, 596, 786, 581, 2111, 547, 912, 268, 10576, 519, 2640, 540, 1210, 3619, 2414, 9751, 547, 5721, 689, 513, 3845, 454, 268, 5590, 909, 543, 1685, 513, 2866, 1210, 3619, 2414, 9751, 454, 289, 919, 267, 589, 15030, 269, 630, 1220, 276, 1040, 29922, 543, 1210, 4066, 538, 3845, 2069, 563, 294, 28207, 267, 667, 10611, 1421, 18722, 267, 570, 1421, 1488, 7815, 267, 654, 269, 630, 1220, 271, 1040, 11879, 769, 11431, 538, 513, 7956, 15369, 5113, 281, 8950, 4762, 17182, 538, 14451, 4065, 269, 634, 5769, 543, 14451, 2069, 476, 273, 263, 273, 268, 274, 2567, 9262, 268, 10755, 269, 0, 1516, 609, 20384, 912, 310, 11510, 616, 21183, 543, 3622, 2057, 3425, 269, 4107, 1004, 786, 2760, 1294, 513, 18896, 267, 1577, 4805, 723, 513, 4655, 609, 835, 269, 654, 11510, 454, 4754, 267, 2705, 267, 6336, 741, 4250, 540, 3425, 998, 454, 4725, 527, 6672, 543, 949, 1935, 22742, 2127, 267, 5321, 454, 528, 3425, 269, 1879, 713, 4523, 267, 972, 568, 606, 2799, 454, 335, 1601, 2225, 585, 4655, 1063, 20384, 543, 3425, 563, 19350, 616, 4808, 602, 596, 666, 1246, 547, 6175, 454, 1492, 4960, 540, 18896, 4356, 6672, 543, 4655, 1247, 454, 331, 1516, 543, 9683, 18896, 2197, 563, 299, 4353, 5058, 5442, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 1892, 1684, 711, 3049, 20384, 563, 1892, 16376, 782, 10130, 16280, 282, 4734, 1100, 1426, 13964, 563, 1892, 2598, 2821, 540, 782, 1426, 543, 20203, 538, 23691, 609, 454, 1892, 1684, 711, 3049, 7320, 281, 19788, 1022, 10352, 3662, 454, 16673, 4482, 20384, 563, 1892, 670, 836, 647, 564, 29650, 693, 2547, 5722, 3952, 1657, 519, 454, 338, 16577, 540, 519, 2666, 610, 6777, 563, 1892, 5213, 1406, 4734, 10130, 796, 3430, 2105, 3544, 281, 5243, 543, 454, 322, 1846, 616, 2653, 9072, 585, 20384, 563, 1892, 1403, 10130, 1590, 581, 796, 3430, 2105, 538, 519, 13452, 267, 1832, 873, 454, 514, 513, 737, 3317, 601, 609, 513, 5150, 1283, 563, 1892, 12305, 5163, 9300, 8279, 267, 607, 789, 949, 948, 454, 18141, 20384, 2476, 563, 6938, 3041, 5058, 700, 4353, 12239, 8016, 298, 5442, 654, 5357, 293, 454, 763, 2160, 540, 16506, 5342, 513, 1353, 538, 454, 22022, 476, 1960, 280, 547, 3313, 952, 1022, 13184, 2359, 454, 335, 847, 1182, 1223, 2061, 18896, 1244, 1042, 566, 269, 634, 1353, 454, 322, 746, 1265, 1100, 2359, 2853, 1978, 547, 2061, 454, 342, 6504, 1244, 1042, 566, 269, 634, 1152, 1505, 8810, 547, 2061, 454, 342, 6504, 1244, 1042, 566, 729, 9427, 519, 1244, 1042, 908, 454, 342, 11510, 689, 519, 3484, 269, 1717, 267, 6705, 543, 678, 4545, 1667, 454, 17647, 4080, 513, 1906, 2853, 602, 949, 948, 538, 930, 454, 322, 1162, 269, 1452, 1331, 912, 1892, 24367, 2635, 267, 1134, 1922, 539, 2831, 269, 654, 11510, 454, 20200, 1227, 2824, 519, 4617, 652, 543, 15864, 10352, 563, 30144, 2831, 616, 811, 2352, 547, 1491, 269, 8844, 454, 331, 877, 610, 7210, 2831, 547, 513, 2922, 1858, 950, 2009, 563, 1892, 4635, 9856, 2831, 269, 4014, 711, 2141, 454, 324, 8997, 267, 519, 4527, 540, 9856, 5243, 666, 581, 513, 454, 323, 2678, 1370, 269, 1879, 1210, 9856, 5243, 1996, 20384, 621, 454, 529, 1271, 547, 946, 1896, 5243, 267, 607, 20384, 949, 6146, 454, 320, 2582, 3662, 269, 25021, 543, 19597, 908, 13265, 2676, 553, 568, 2944, 538, 24364, 21737, 267, 666, 948, 9856, 5243, 454, 2041, 811, 2500, 269, 5901, 538, 2247, 267, 2705, 267, 602, 454, 8527, 1049, 21737, 568, 1447, 5078, 1282, 23758, 532, 454, 553, 621, 949, 7519, 519, 6125, 1063, 3993, 543, 454, 1892, 25021, 1608, 1324, 610, 23758, 532, 2238, 6251, 547, 519, 454, 8663, 5500, 731, 269, 1715, 26978, 616, 2653, 10352, 269, 2368, 6705, 454, 332, 913, 1608, 1324, 610, 23758, 532, 6251, 547, 519, 3046, 5500, 731, 454, 20357, 621, 2636, 585, 811, 7928, 5464, 563, 1892, 6182, 1218, 547, 2936, 3800, 547, 2569, 18896, 8894, 331, 12083, 7526, 616, 2139, 689, 519, 631, 6395, 563, 1892, 1280, 811, 1344, 267, 3643, 4179, 2517, 4178, 6230, 6767, 563, 299, 9669, 585, 9319, 7526, 454, 310, 2969, 6224, 5058, 654, 5357, 309, 2464, 5442, 654, 5357, 293, 454, 4407, 7487, 513, 18896, 568, 513, 12300, 1995, 267, 899, 454, 1415, 824, 3552, 3662, 267, 596, 1058, 946, 13657, 950, 454, 16269, 616, 2673, 269, 5901, 519, 1739, 1919, 538, 2247, 454, 6112, 596, 616, 13156, 873, 912, 1892, 1684, 711, 3049, 20384, 563, 1892, 1684, 711, 1303, 823, 20384, 547, 2097, 6251, 563, 1892, 1684, 711, 1935, 20384, 563, 1892, 23680, 4055, 585, 513, 18896, 547, 9101, 563, 1892, 1684, 711, 1450, 513, 18896, 547, 1935, 1022, 6251, 982, 454, 290, 21283, 5058, 5442, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 1892, 13648, 267, 11547, 8286, 543, 4558, 1426, 2476, 689, 454, 1892, 13268, 856, 610, 26565, 540, 20203, 543, 31629, 1426, 454, 1892, 12246, 12323, 1426, 267, 16003, 1845, 543, 20203, 856, 540, 3914, 454, 1993, 1022, 7320, 563, 1892, 5901, 10130, 2282, 596, 693, 782, 2053, 563, 8980, 16165, 8577, 25893, 10758, 30264, 2752, 299, 8577, 654, 5357, 309, 2464, 454, 2562, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 2252, 513, 18896, 6411, 26490, 1947, 630, 326, 992, 3149, 610, 2879, 541, 3149, 264, 610, 454, 325, 792, 8393, 630, 1952, 30294, 3425, 693, 513, 2673, 3845, 454, 23719, 4250, 264, 1491, 519, 1739, 3527, 912, 1892, 14780, 1047, 707, 7916, 543, 5951, 873, 538, 519, 2011, 547, 1118, 454, 20365, 1345, 1413, 3677, 563, 1892, 7982, 2476, 7444, 282, 798, 711, 2490, 707, 1394, 593, 519, 454, 1892, 5269, 6846, 543, 12235, 3615, 693, 519, 18896, 563, 27775, 2105, 676, 7460, 20088, 267, 3703, 12052, 267, 4516, 454, 3918, 3201, 14510, 5508, 654, 5357, 293, 11083, 307, 3722, 16775, 5442, 454, 2005, 568, 1271, 547, 1832, 18896, 6285, 538, 5133, 563, 7197, 20384, 616, 711, 5906, 547, 3425, 543, 454, 11004, 568, 513, 6067, 513, 614, 4960, 540, 1373, 7166, 676, 17500, 2676, 23331, 29097, 610, 1286, 16580, 609, 513, 13650, 982, 1373, 454, 514, 329, 3293, 676, 513, 18896, 269, 634, 7063, 602, 723, 7018, 454, 26200, 3361, 676, 513, 1906, 20384, 602, 2968, 4250, 1652, 540, 454, 21065, 753, 1813, 547, 4356 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1412, 3724, 17569, 262, 2433, 18358, 343, 2643, 25869, 12887, 323, 16925, 3299, 1412, 5523, 2651, 12887, 30103, 3138, 2378, 11172, 2676, 825, 1412, 335, 12714, 262, 2433, 9131, 572, 553, 17850, 12887, 1598, 1052, 10874, 787, 12887, 331, 842, 23300, 8931, 10926, 258, 17006, 513, 1883, 1412, 10767, 331, 777, 9126, 262, 543, 26471, 513, 1592, 547, 621, 454, 514, 1203, 800, 9131, 10767, 331, 777, 9126, 11172, 815, 18358, 20625, 3299, 1412, 20791, 6299, 344, 3299, 1412, 22764, 3562, 539, 1793, 1054, 262, 6540, 258, 590, 15659, 519, 1592, 1336, 896, 519, 1883, 1412, 335, 13224, 7055, 514, 1203, 800, 9131, 335, 13224, 262, 4940, 338, 677, 3890, 8528, 258, 2659, 3009, 1934, 454, 514, 1203, 800, 9131, 3724, 17569, 262, 4940, 338, 677, 4590, 514, 1203, 800, 9131, 3724, 17569, 262, 4940, 24525, 3488, 323, 16925, 17210, 514, 1203, 800, 9131, 326, 1245, 11172, 6834, 476, 2004, 454, 0, 258, 4517, 344, 16399, 781, 26271, 18527, 18873, 1477, 258, 17780, 593, 7812, 5576, 549, 25005, 781, 3898, 5897, 5814, 1770, 11687, 1477, 5814, 4351, 1477, 5228, 3525, 2737, 10611, 1049, 1104, 21929, 5897, 5035, 25109, 307, 3949, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 4848, 1477, 22592, 1449, 306, 877, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 313, 3266, 13528, 518, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 271, 267, 272, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 271, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 453, 1477, 453, 258, 1219, 1449, 313, 3266, 299, 2660, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 271, 267, 272, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 271, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 2662, 1961, 10831, 3080, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 277, 267, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 293, 3555, 4415, 10521, 27078, 2510, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 16427, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 1321, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 280, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 1321, 267, 1587, 6155, 3418, 453, 1477, 22592, 1449, 293, 3555, 27078, 894, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 267, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 1321, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 296, 993, 711, 2386, 952, 1587, 8542, 610, 1587, 6155, 6585, 519, 2942, 1871, 540, 519, 4611, 6824, 1477, 4848, 453, 258, 1729, 8396, 713, 267, 594, 2638, 952, 519, 4611, 6824, 568, 2942, 267, 1287, 2638, 519, 6207, 1871, 540, 519, 2338, 1477, 453, 453, 9418, 29410, 815, 1587, 8542, 1315, 1587, 6155, 1477, 453, 19677, 27863, 263, 9418, 29410, 283, 271, 267, 3020, 3418, 453, 19677, 27863, 263, 11274, 263, 274, 1070, 1587, 8542, 3418, 453, 19677, 27863, 263, 11274, 263, 275, 1070, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 27078, 894, 291, 523, 7631, 1807, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 267, 272, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 300, 1389, 2386, 602, 519, 2942, 568, 538, 519, 19362, 267, 607, 8815, 2390, 593, 4924, 269, 476, 1704, 628, 267, 476, 1001, 280, 267, 693, 476, 277, 281, 1789, 10975, 1477, 453, 19677, 20596, 8253, 22949, 263, 277, 267, 1587, 8542, 3418, 453, 19677, 20596, 8253, 22949, 8987, 272, 267, 1587, 6155, 3418, 453, 19677, 27863, 8987, 277, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 453, 1477, 22592, 1449, 305, 24655, 4311, 8029, 453, 453, 258, 300, 697, 2014, 2042, 952, 596, 1810, 1405, 917, 1018, 519, 4351, 2338, 616, 1862, 1477, 453, 22610, 1535, 538, 2039, 263, 271, 267, 736, 8029, 4848, 453, 9008, 272, 815, 4351, 27110, 8987, 1911, 1822, 271, 267, 1911, 1822, 271, 3418, 4848, 453, 15318, 272, 815, 4351, 27110, 263, 272, 267, 1911, 1822, 271, 3418, 4848, 453, 9008, 273, 815, 4351, 27110, 8987, 1911, 1822, 271, 267, 1911, 1822, 271, 3418, 4848, 453, 15318, 273, 815, 4351, 27110, 263, 272, 267, 1911, 1822, 271, 3418, 4848, 453, 325, 3555, 272, 815, 21929, 6025, 641, 272, 267, 7762, 272, 3418, 4848, 453, 325, 3555, 273, 815, 21929, 6025, 641, 273, 267, 7762, 273, 3418, 4848, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 4848, 19677, 27863, 6025, 641, 272, 265, 9008, 273, 267, 1587, 8542, 3418, 4848, 19677, 27863, 6357, 582, 272, 265, 15318, 273, 267, 1587, 6155, 3418, 24541, 453, 258, 1219, 1449, 299, 24147, 13528, 518, 293, 3555, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 1015, 267, 276, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 272, 267, 273, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 1015, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 1015, 267, 1587, 6155, 3418, 4848, 1477, 453, 258, 1219, 1449, 299, 24147, 299, 2660, 293, 3555, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 272, 267, 274, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 275, 267, 273, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 275, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 277, 267, 1587, 6155, 3418 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2417, 267, 621, 568, 1898, 547, 3715, 2312, 8847, 540, 519, 2474, 1412, 18076, 14810, 262, 543, 1412, 1706, 534, 5436, 9814, 9538, 4340, 547, 5339, 16159, 21965, 30215, 267, 4683, 14810, 4016, 547, 1568, 1305, 5097, 538, 4207, 267, 1419, 4683, 5054, 267, 1141, 9589, 610, 16750, 4229, 30598, 7258, 29932, 3006, 6456, 689, 1765, 867, 2435, 1480, 1995, 630, 3719, 2401, 267, 476, 1220, 280, 1040, 1452, 2984, 4749, 6451, 2609, 6537, 689, 13299, 267, 18691, 267, 543, 1585, 9135, 5389, 630, 324, 3052, 1421, 16897, 267, 2257, 5708, 1070, 4611, 538, 3638, 569, 30305, 6386, 602, 4161, 6671, 24300, 540, 4641, 543, 3961, 780, 13640, 534, 5436, 9814, 267, 676, 4334, 267, 11148, 547, 11168, 519, 19792, 2460, 540, 971, 8941, 267, 10023, 23233, 25461, 609, 6061, 10963, 610, 26500, 11580, 1644, 547, 519, 4527, 540, 1875, 16058, 9988, 1369, 741, 10600, 269, 1306, 10404, 14529, 3121, 700, 269, 28418, 4967, 267, 891, 6386, 3335, 15666, 547, 3964, 14908, 2404, 609, 2757, 627, 617, 22780, 12043, 267, 23344, 29689, 609, 28531, 2609, 602, 4463, 523, 24457, 543, 15052, 18572, 630, 24841, 338, 267, 476, 1220, 275, 1040, 1635, 9256, 2609, 540, 1312, 4683, 14810, 543, 6760, 5708, 267, 31510, 5436, 9814, 2488, 15792, 4316, 585, 13857, 29293, 540, 1434, 8957, 9409, 267, 1582, 5288, 269, 824, 267, 543, 519, 1379, 6384, 602, 3337, 14375, 3347, 780, 7656, 269, 634, 2561, 7002, 540, 1284, 637, 543, 25609, 327, 604, 1562, 692, 4263, 519, 2295, 540, 1082, 3811, 4683, 6720, 553, 625, 543, 31510, 5436, 13655, 6013, 519, 4137, 540, 519, 941, 342, 6504, 610, 5546, 327, 604, 614, 1765, 16579, 999, 4171, 2702, 547, 2981, 1063, 1480, 543, 3662, 3029, 512, 2355, 883, 7184, 22298, 2686, 32370, 4478, 1655, 658, 640, 267, 2215, 527, 13659, 267, 543, 1929, 514, 1275, 630, 328, 4318, 1421, 4540, 693, 29676, 610, 10665, 1063, 2829, 540, 1373, 1040, 5047, 267, 607, 5640, 899, 1546, 2273, 516, 22823, 8044, 267, 971, 3197, 849, 4196, 607, 14984, 6698, 585, 15730, 9620, 609, 20032, 267, 14920, 267, 543, 1514, 29077, 630, 289, 6033, 267, 476, 1001, 276, 1040, 9182, 267, 789, 2709, 22691, 14099, 585, 6313, 4947, 6361, 21943, 2833, 543, 10188, 519, 2591, 15054, 676, 3395, 909, 538, 606, 5051, 7294, 1158, 780, 4353, 269, 1401, 6374, 776, 31157, 281, 589, 19171, 7335, 13979, 692, 2414, 1732, 9414, 519, 1883, 4162, 543, 21044, 4145, 30343, 2500, 649, 637, 270, 3333, 16747, 327, 604, 614, 6386, 267, 1577, 721, 2490, 1631, 547, 1896, 8037, 1806, 689, 2487, 1296, 269, 1280, 3236, 267, 7395, 27932, 853, 3971, 341, 831, 781, 834, 763, 654, 11510, 540, 8585, 1097, 22484, 257, 3126, 632, 1111, 569, 10905, 11509, 1303, 4120, 906, 267, 22686, 1193, 1057, 267, 543, 8733, 9637, 538, 922, 24575, 540, 513, 1507, 4884, 14850, 773, 3022, 676, 12357, 18896, 8289, 902, 269, 6684, 267, 4591, 569, 4563, 781, 834, 290, 9309, 20709, 257, 5311, 20502, 513, 27497, 1399, 267, 1100, 597, 880, 5075, 540, 2413, 3013, 20651, 676, 1585, 16750, 7919, 267, 1519, 1346, 5827, 540, 14322, 14595, 3029, 998, 5905, 4805, 269, 5637, 3126, 6542, 875, 9952, 5830, 666, 3927, 3666, 2962, 267, 26126, 267, 543, 1158, 20761, 547, 1711, 15138, 2542, 2833, 28093, 4240, 609, 3929, 2597, 543, 7214, 646, 1111, 780, 309, 269, 11879, 21126, 281, 12056, 7647, 8765, 5494, 6847, 692, 1103, 1840, 547, 7421, 1808, 5931, 267, 621, 568, 8449, 1271, 547, 2015, 6626, 7811, 10850, 602, 1522, 1217, 938, 1620, 540, 4683, 14810, 543, 31510, 5436, 9814, 607, 5339, 12331, 269, 2290, 3226, 4829, 995, 28627, 540, 14374, 3322, 7311, 2022, 19640, 6436, 540, 2230, 543, 1747, 547, 891, 6386, 267, 6236, 875, 789, 2992, 4657, 11994, 540, 4683, 8916, 543, 741, 11317, 262, 2078, 4433, 264, 972, 1729, 269, 6271, 5732, 27283, 1935, 14405, 2390, 25164, 24608, 3069, 267, 2625, 532, 519, 2081, 538, 799, 11430, 4754, 6605, 545, 14759, 1599, 14165, 1227, 547, 2263, 17499, 13821, 267, 12194, 267, 543, 1065, 5962, 8823, 780, 9654, 269, 19750, 10241, 281, 14958, 532, 3281, 2454, 15881, 2510, 692, 7661, 267, 2348, 8947, 1312, 13654, 2035, 543, 11347, 2013, 2090, 267, 1053, 1058, 4497, 2047, 609, 519, 1184, 540, 2870, 3312, 1568, 1369, 713, 9135, 269, 25792, 2238, 1223, 1331, 23730, 7886, 5059, 593, 10451, 5499, 22402, 5473, 941, 342, 11510, 610, 5546, 327, 604, 1562, 282, 13186, 4771, 10207, 602, 11100, 2609, 540, 4683, 14810, 543, 31510, 5436, 9814, 282, 543, 9263, 2689, 5717, 6322, 693, 17975, 8908, 1570, 998, 16268, 5955, 269, 6270, 3946, 6823, 4497, 906, 786, 711, 1152, 948, 4396, 1518, 12497, 1702, 9715, 2429, 519, 3184, 855, 849, 8300, 27503, 4589, 547, 7903, 6302, 543, 2263, 1007, 8846, 538, 741, 1378, 3860, 18697, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 267, 649, 723, 6601, 24229, 12070, 9469, 267, 606, 14971, 15818, 5828, 5856, 945, 568, 1631, 2324, 593, 1200, 1101, 3209, 1572, 17629, 10456, 563, 5141, 3317, 749, 20900, 568, 513, 31510, 5436, 15832, 543, 14810, 2278, 269, 2701, 568, 513, 15713, 4759, 540, 519, 19536, 685, 9457, 332, 785, 543, 519, 3984, 540, 938, 14349, 2328, 15564, 563, 25603, 30960, 595, 2077, 807, 670, 12282, 1421, 513, 1650, 339, 11839, 543, 28479, 766, 5856, 945, 729, 4535, 538, 27816, 543, 1631, 2729, 538, 26288, 563, 13731, 773, 17566, 568, 513, 1650, 339, 11839, 267, 5816, 3455, 267, 10540, 322, 2120, 543, 2756, 19212, 945, 11339, 2110, 2984, 267, 1453, 779, 2835, 267, 13655, 267, 26497, 619, 267, 962, 288, 9089, 267, 543, 1256, 2144, 582, 3821, 563, 297, 6993, 269, 30532, 568, 513, 25982, 540, 519, 12925, 2782, 267, 519, 2278, 540, 29923, 2659, 2480, 25333, 267, 543, 568, 4867, 2324, 593, 1010, 1101, 2233, 19712, 959, 559, 9609, 563, 300, 1897, 11728, 281, 4793, 1399, 10815, 518, 814, 30618, 539, 519, 1158, 267, 4249, 7147, 3180, 11313, 655, 267, 543, 11339, 3388, 689, 12638, 13655, 547, 1085, 604, 328, 547, 4158, 31510, 5436, 14810, 543, 3564, 563, 14937, 8466, 11470, 267, 17826, 267, 543, 12124, 26135, 8191, 267, 962, 1815, 515, 1176, 1695, 962, 338, 2001, 331, 267, 12909, 827, 1200, 2835, 267, 7506, 267, 543, 1603, 1272, 563, 25603, 2221, 779, 544, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 26135, 543, 3474, 534, 5436, 25491, 257, 607, 851, 540, 834, 16300, 16337, 1315, 21518, 342, 11510, 1299, 1744, 604, 1562, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4197, 16572, 7057, 543, 2598, 1584, 525, 692, 5331, 596, 543, 707, 3659, 723, 513, 24895, 936, 1945, 1271, 267, 899, 4171, 2490, 621, 568, 547, 2973, 909, 1310, 4730, 3381, 3756, 693, 707, 2777, 269, 1411, 1312, 1616, 547, 581, 1318, 543, 1745, 9244, 827, 707, 6644, 269, 901, 2186, 540, 3510, 666, 4755, 1063, 1004, 267, 4213, 267, 543, 3906, 782, 519, 942, 256, 1879, 891, 22195, 1831, 3978, 543, 3112, 581, 12193, 998, 6158, 267, 789, 1522, 1439, 909, 538, 5480, 607, 4031, 7057, 269, 4653, 649, 786, 1451, 827, 1018, 4523, 950, 513, 15539, 7140, 883, 513, 27779, 609, 519, 948, 540, 513, 1483, 1383, 5473, 1079, 3549, 1572, 1234, 11035, 5682, 543, 623, 22333, 24322, 780, 5575, 267, 1577, 781, 1174, 945, 729, 3238, 538, 713, 1880, 2013, 1384, 265, 2878, 5522, 5593, 858, 4433, 2567, 1262, 1452, 616, 519, 1004, 610, 4213, 602, 1376, 519, 27779, 1317, 789, 3494, 789, 941, 4636, 539, 538, 930, 1259, 269, 1358, 1589, 2576, 3116, 3361, 873, 2800, 610, 4769, 1405, 11886, 741, 9021, 269, 769, 938, 1650, 267, 1234, 11035, 5682, 13738, 25957, 570, 12447, 543, 681, 8976, 294, 267, 13456, 269, 3323, 519, 27779, 1996, 824, 6105, 269, 1284, 786, 1289, 873, 1234, 11035, 5682, 585, 2110, 563, 265, 2878, 9377, 754, 656, 4433, 2567, 1262, 1452, 616, 519, 2043, 610, 3906, 1373, 647, 539, 1317, 789, 16957, 569, 1705, 1945, 4636, 2687, 547, 519, 27674, 858, 269, 769, 938, 3184, 267, 972, 616, 1896, 9718, 1218, 910, 9995, 344, 23634, 3150, 267, 27722, 717, 269, 808, 617, 345, 529, 267, 623, 22333, 24322, 267, 5549, 1421, 623, 22333, 11629, 1116, 5685, 8460, 267, 5549, 1421, 10911, 9931, 21516, 1299, 3213, 1421, 543, 3627, 1684, 324, 630, 320, 623, 22333, 11347, 1040, 1280, 16134, 267, 649, 786, 1895, 873, 1927, 607, 623, 22333, 24322, 780, 3086, 602, 649, 917, 945, 519, 1883, 5716, 616, 267, 1577, 781, 4685, 4514, 883, 1946, 713, 3656, 6370, 3459, 269, 5994, 1234, 11035, 5682, 13976, 3760, 17281, 10470, 24015, 269, 2290, 1554, 267, 1247, 2324, 593, 513, 1788, 267, 789, 5185, 2152, 3823, 5862, 1031, 585, 519, 5480, 2627, 3177, 676, 623, 22333, 24322, 269, 4340, 547, 1234, 11035, 5682, 267, 519, 5862, 7012, 1405, 1434, 2614, 543, 3366, 547, 2042, 1524, 519, 1899, 269, 1306, 513, 1267, 267, 1234, 11035, 5682, 4956, 547, 647, 324, 623, 22333, 24322, 19101, 14796, 630, 332, 2292, 7640, 539, 1813, 547, 9271, 11124, 264, 1317, 540, 519, 4057, 2298, 5862, 780, 2080, 616, 1898, 3268, 3144, 1282, 971, 13882, 3056, 547, 513, 4693, 1384, 272, 269, 2608, 4467, 680, 5593, 17041, 3689, 267, 519, 27674, 858, 6119, 513, 24255, 7713, 519, 3390, 543, 1018, 789, 1616, 607, 13180, 689, 519, 24769, 563, 273, 269, 2608, 12585, 17041, 8921, 267, 519, 24769, 20781, 547, 519, 24255, 2901, 16153, 1154, 610, 27102, 1142, 3409, 1500, 676, 519, 27674, 858, 563, 274, 269, 2608, 291, 18752, 17041, 5637, 5011, 5531, 2963, 5885, 741, 6811, 1210, 1585, 2409, 899, 2854, 2055, 630, 5793, 5766, 14898, 1070, 3561, 13668, 267, 543, 7263, 1431, 630, 1873, 1941, 6898, 2016, 896, 522, 987, 1916, 275, 269, 2608, 300, 27467, 17041, 6884, 267, 513, 9243, 3791, 5428, 2337, 21907, 513, 11175, 3544, 540, 5480, 865, 3025, 666, 1847, 4464, 993, 545, 2406, 269, 1403, 1100, 6876, 568, 6603, 267, 519, 2013, 23131, 547, 4693, 563, 276, 269, 2608, 307, 7434, 17041, 589, 9794, 610, 21139, 30650, 7440, 689, 1312, 5011, 543, 8039, 1022, 4143, 2963, 4843, 269, 11086, 267, 789, 6430, 2436, 519, 24769, 814, 547, 2628, 519, 16761, 13180, 547, 519, 27674, 858, 1759, 593, 519, 5013, 543, 10858, 4031, 780, 1103, 938, 9183, 267, 1234, 11035, 5682, 19429, 922, 24255, 17548, 875, 623, 22333, 24322, 8959, 547, 1683, 5078, 5862, 585, 741, 3785, 269, 3973, 267, 623, 22333, 24322, 15527, 6031, 789, 10990, 609, 1346, 25197, 725, 269, 30850, 267, 1312, 3549, 4682, 998, 6602, 1141, 789, 6394, 1344, 25380, 909, 741, 7158, 269, 2311, 713, 1448, 267, 952, 25019, 1185, 7018, 855, 9863, 28336, 267, 1287, 519, 2013, 1131, 2212, 2509, 4693, 269, 1717, 267, 649, 1810, 1405, 723, 2614, 3877, 689, 519, 1349, 547, 3313, 952, 602, 5949, 780, 8855, 267, 1034, 13882, 2760, 3914, 513, 2407, 1532, 31500, 4693, 2094, 1082, 1205, 17251, 2059, 519, 1259, 998, 19908, 610, 4244, 21368, 2409, 269, 1809, 1620, 519, 1184, 3947, 721, 5813, 883, 875, 7526, 666, 15583, 622, 543, 5555, 581, 12306, 1369, 519, 5126, 1062, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 11035, 5682, 24398, 333, 269, 25957, 570, 12447, 642, 23634, 3150, 2304, 2254, 622, 713, 8865, 454, 13356, 3660, 593, 5437, 476, 1691, 267, 476, 1220, 278, 454, 306, 1575, 3153, 7040, 267, 4639, 17998, 6019, 454, 3725, 11035, 5682, 13738, 25957, 570, 12447, 543, 681, 8976, 294, 267, 13456, 1421, 1773, 5593, 14554, 2676, 306, 22929, 23634, 3150, 267, 717, 14473, 717, 269, 808, 7495, 313, 3041, 267, 623, 22333, 28960, 19851, 6020, 2464, 267, 5442, 290, 1421, 623, 22333, 8121, 6224, 3951, 17614, 7838, 3201, 674, 2562, 23360, 2464, 267, 5442, 290, 1421, 595, 10611, 269, 654, 3201, 6369, 308, 2207, 1299, 3213, 1421, 543, 834, 297, 15121, 301, 11298, 292, 2437, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 729, 519, 7214, 17102, 540, 5198, 543, 10168, 269, 1548, 1744, 517, 756, 732, 11394, 547, 798, 1934, 568, 547, 4161, 602, 17697, 15796, 543, 547, 798, 865, 12799, 563, 2171, 1590, 798, 519, 1482, 269, 0, 2005, 814, 1044, 1472, 585, 5553, 543, 568, 1419, 10057, 607, 513, 14254, 23611, 610, 6039, 538, 25235, 563, 312, 690, 4669, 814, 1831, 1360, 2442, 538, 2487, 1296, 267, 609, 1004, 10438, 621, 607, 851, 540, 741, 2732, 269, 898, 666, 4196, 607, 513, 2635, 15165, 610, 18397, 3903, 563, 312, 690, 4669, 568, 513, 25496, 5144, 1587, 2356, 1500, 689, 10683, 2472, 971, 607, 10800, 610, 23820, 5144, 269, 962, 690, 4669, 666, 849, 581, 3812, 1210, 1875, 1673, 8543, 8925, 899, 13386, 5144, 610, 17310, 5144, 563, 312, 690, 4669, 814, 1044, 10057, 585, 5215, 540, 1296, 543, 568, 2442, 538, 1082, 2477, 269, 898, 3335, 2501, 538, 1079, 3029, 281, 10750, 267, 5667, 11548, 2989, 18506, 543, 18506, 609, 4829, 267, 11922, 267, 9932, 267, 9274, 267, 610, 824, 8137, 902, 563, 312, 690, 4669, 568, 606, 5140, 1426, 585, 4509, 513, 2635, 8937, 18508, 543, 621, 666, 849, 948, 547, 2539, 1973, 4006, 2157, 1310, 6980, 547, 1832, 1973, 4006, 2157, 11931, 2429, 519, 1554, 563, 312, 690, 4669, 568, 1500, 540, 5144, 25496, 676, 4551, 269, 898, 568, 513, 2757, 1426, 602, 666, 581, 1336, 538, 1082, 2477, 1472, 519, 1158, 563, 288, 2442, 6216, 540, 18506, 568, 962, 641, 5055, 527, 269, 898, 3091, 1970, 19339, 267, 2834, 543, 1164, 3491, 12888, 8677, 267, 607, 1134, 607, 513, 5259, 16654, 18506, 1899, 563, 763, 5162, 568, 513, 4005, 602, 1082, 1004, 1265, 4411, 267, 855, 585, 1866, 267, 519, 5162, 568, 513, 942, 950, 789, 1205, 547, 2972, 519, 13964, 563, 310, 5793, 538, 824, 2694, 540, 519, 1158, 912, 1700, 769, 6576, 267, 1004, 8661, 8285, 538, 5412, 543, 723, 513, 1360, 1114, 5162, 454, 1700, 769, 3624, 267, 789, 8661, 4457, 1715, 5729, 538, 5130, 543, 723, 513, 15911, 5162, 454, 310, 5793, 568, 606, 7533, 851, 540, 519, 12119, 4783, 267, 513, 942, 950, 4411, 4365, 1419, 3123, 721, 547, 3251, 16280, 543, 581, 811, 18241, 269, 4438, 5162, 267, 1082, 1004, 4043, 547, 7048, 593, 1753, 4313, 971, 607, 3595, 17541, 610, 3167, 28909, 543, 849, 7985, 689, 19210, 1317, 540, 519, 4411, 2837, 563, 290, 1245, 4365, 949, 2014, 18024, 267, 607, 1134, 607, 22009, 4540, 1072, 2042, 269, 898, 568, 1271, 547, 4235, 7899, 540, 15559, 547, 2057, 18024, 543, 2061, 4576, 538, 1931, 547, 3251, 2635, 1282, 5162, 563, 310, 5793, 568, 513, 4005, 602, 6770, 856, 519, 1655, 543, 10782, 538, 1004, 269, 898, 779, 519, 942, 585, 1004, 547, 6108, 942, 609, 741, 6068, 3283, 267, 1205, 930, 1454, 32571, 1964, 267, 543, 30489, 622, 538, 519, 14246, 540, 1753, 563, 763, 5162, 4005, 6770, 856, 606, 5044, 540, 4664, 689, 4250, 547, 18762, 27277, 269, 589, 2603, 540, 1919, 666, 4755, 1282, 5162, 602, 666, 1118, 621, 811, 7703, 762, 610, 811, 2352, 4470, 593, 1018, 596, 2461, 2469, 998, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1866, 630, 2421, 14123, 3347, 543, 5121, 540, 1004, 689, 1472, 519, 1158, 593, 513, 454, 10585, 4493, 1040, 1677, 10244, 971, 1761, 267, 2043, 786, 991, 547, 979, 3564, 519, 2596, 2930, 454, 12921, 1571, 2877, 547, 3274, 946, 519, 5769, 267, 6494, 552, 2173, 5661, 543, 865, 593, 563, 2026, 609, 824, 2645, 267, 2029, 666, 581, 1031, 2170, 1947, 952, 3755, 1174, 922, 2470, 543, 454, 10915, 937, 593, 922, 1761, 269, 4107, 11932, 267, 2043, 991, 547, 9305, 519, 7399, 11251, 454, 514, 6639, 2645, 547, 741, 1378, 6381, 543, 3853, 269, 589, 1101, 1900, 568, 585, 2043, 547, 454, 4532, 2734, 622, 4066, 883, 741, 1455, 2853, 267, 799, 7472, 513, 23440, 609, 519, 454, 974, 9592, 602, 1287, 2636, 873, 547, 8831, 922, 3096, 563, 2750, 1815, 5737, 12834, 476, 1556, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1556, 454, 4467, 7065, 1890, 21145, 476, 273, 281, 3955, 716, 532, 538, 670, 2678, 15119, 20492, 454, 9961, 741, 2729, 1480, 7919, 616, 454, 323, 8817, 593, 13218, 547, 1866, 267, 585, 1570, 454, 663, 5626, 6668, 267, 607, 1134, 607, 538, 454, 21975, 547, 1514, 3961, 269, 1306, 7239, 454, 13069, 727, 538, 930, 2081, 811, 27929, 454, 663, 849, 811, 3309, 267, 621, 3587, 454, 28695, 547, 4383, 14375, 454, 30447, 4721, 1134, 1312, 585, 519, 4324, 540, 454, 785, 1339, 338, 543, 547, 1628, 1007, 3029, 540, 454, 763, 2679, 540, 1514, 3854, 568, 454, 28695, 267, 607, 4540, 1514, 7554, 454, 933, 2586, 543, 1007, 3283, 616, 2813, 676, 454, 29006, 609, 519, 2702, 547, 1106, 2178, 5121, 269, 2290, 540, 519, 1761, 2959, 540, 6528, 640, 538, 519, 454, 325, 1956, 1223, 581, 3604, 538, 519, 16169, 540, 1585, 2516, 547, 1628, 543, 4324, 689, 1514, 454, 763, 1883, 21941, 538, 713, 7121, 616, 2838, 585, 2043, 547, 1451, 267, 2661, 543, 960, 609, 454, 1278, 338, 269, 1358, 2232, 1082, 540, 519, 2934, 2404, 609, 2474, 971, 607, 968, 25791, 21941, 892, 2676, 2108, 25791, 1983, 5608, 968, 5793, 322, 8590, 21941, 892, 610, 968, 7809, 1983, 9731, 763, 2702, 547, 9305, 1134, 547, 1866, 454, 1607, 1101, 1883, 28671, 2636, 2043, 547, 20006, 267, 2226, 543, 4383, 2123, 454, 30447, 4721, 609, 267, 585, 1383, 267, 2123, 29872, 1734, 267, 9164, 543, 5561, 269, 4039, 908, 454, 6202, 568, 711, 1152, 513, 10421, 585, 1514, 22122, 855, 267, 5051, 267, 585, 2804, 1967, 607, 454, 577, 4474, 10909, 543, 11615, 616, 11093, 2799, 8561, 593, 3929, 4987, 563, 1607, 28671, 17648, 602, 2043, 616, 2111, 547, 2463, 543, 5660, 519, 2418, 267, 4978, 2676, 322, 30743, 543, 12583, 540, 1866, 538, 1931, 547, 1711, 606, 1604, 1141, 789, 1745, 10950, 267, 616, 454, 514, 7672, 543, 8853, 563, 10870, 268, 6016, 908, 1134, 609, 1866, 3340, 912, 22461, 27919, 1107, 2921, 519, 1909, 540, 519, 824, 1268, 543, 31935, 519, 3510, 689, 1010, 610, 1200, 454, 11825, 8826, 269, 901, 5012, 547, 1582, 26190, 267, 950, 267, 2390, 6236, 513, 2647, 2039, 540, 8369, 454, 663, 4978, 267, 2043, 5431, 602, 1018, 789, 1491, 585, 11292, 538, 513, 3510, 568, 711, 454, 928, 947, 3320, 3838, 676, 1866, 563, 22461, 13229, 2359, 540, 4664, 1107, 1373, 1582, 16477, 543, 2111, 547, 4612, 3927, 835, 779, 454, 1144, 5817, 3929, 543, 30973, 2829, 543, 1346, 540, 1866, 563, 1321, 634, 9502, 543, 19139, 540, 6206, 14847, 4293, 454, 22461, 634, 991, 547, 4308, 609, 4763, 538, 12683, 2065, 454, 22461, 634, 2956, 540, 6568, 454, 22461, 634, 2956, 540, 1514, 3854, 454, 288, 269, 4039, 622, 1134, 547, 1866, 454, 289, 269, 3213, 19945, 4733, 267, 960, 538, 6887, 454, 290, 269, 28509, 543, 8207, 7526, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1321, 454, 763, 2702, 547, 28111, 454, 6624, 7569, 543, 3853, 3112, 581, 1558, 676, 835, 1367, 4805, 855, 3079, 2154, 1346, 945, 454, 3333, 732, 519, 1482, 4690, 547, 6443, 4229, 538, 2516, 971, 607, 960, 6887, 267, 18523, 5322, 2676, 2006, 1771, 2516, 267, 2797, 6105, 610, 4123, 18787, 563, 10870, 268, 7774, 3340, 1142, 1367, 547, 723, 1978, 7907, 269, 3962, 2115, 547, 581, 2111, 547, 3666, 454, 1260, 2466, 618, 547, 519, 1895, 543, 922, 3853, 609, 1010, 610, 1200, 1378, 14422, 543, 1590, 581, 2111, 547, 2671, 454, 548, 611, 11429, 543, 547, 1489, 1866, 269, 16930, 3334, 540, 713, 28671, 1331, 912, 22461, 634, 2702, 547, 1459, 2093, 543, 6432, 547, 1346, 540, 1866, 3248, 22461, 1323, 1620, 540, 519, 6384, 540, 7521, 543, 1739, 606, 16786, 3248, 22461, 634, 2702, 547, 4020, 28365, 610, 4264, 24816, 3248, 22461, 634, 2702, 547, 21907, 282, 543, 454, 22461, 634, 4390, 547, 1118, 3664, 602, 1450, 585, 1114, 18707, 540, 6644, 563, 763, 2702, 547, 4383, 543, 8207, 7526, 454, 18183, 12787, 4386, 538, 782, 3344, 540, 1272, 267, 2436, 538, 519, 1753, 267, 9036, 610, 519, 3677, 2146, 454, 663, 2486, 269, 18366, 568, 851, 540, 1514, 4641, 267, 606, 7915, 851, 540, 1480, 3347, 269, 898, 14340, 454, 15290, 1079, 610, 811, 2043, 610, 2516, 28586, 835, 1776, 1317, 540, 28836, 2115, 2676, 15517, 338, 267, 3853, 610, 2418, 563, 763, 1883, 547, 16042, 4655, 538, 513, 16268, 6073, 568, 547, 21028, 602, 621, 568, 513, 1184, 547, 454, 2041, 7307, 2864, 982, 5275, 547, 2258, 622, 621, 269, 901, 3340, 7156, 540, 519, 4690, 543, 454, 928, 2644, 540, 1866, 543, 3435, 538, 799, 1312, 5011, 2744, 563, 2690, 2043, 547, 1491, 606, 3742, 851, 538, 4655, 2359, 543, 6571, 267, 789, 991, 547, 581, 454, 22461, 8890, 572, 519, 2152, 543, 4690, 693, 7196, 630, 324, 3052, 269, 1379, 267, 6284, 540, 20519, 267, 6498, 540, 960, 2676, 3225, 640, 1070, 519, 8129, 540, 519, 4655, 543, 519, 7744, 540, 782, 5011, 267, 2369, 2358, 602, 972, 616, 454, 18528, 5166, 2009, 7158, 3248, 22461, 10576, 2127, 540, 6876, 543, 24895, 3248, 22461, 4676, 9347, 519, 1966, 282, 543, 454, 22461, 26875, 1047, 2115, 543, 3853, 267, 14045, 1018, 789, 616, 8348, 547, 2285, 909, 543, 896, 1018, 454, 2750, 1815, 5737, 12834, 476, 1724, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1724, 454, 4467, 7065, 1890, 21145, 476, 274, 281, 2920, 532, 4201, 517, 558, 3585, 454, 8002, 532, 8238, 558, 3585, 1281, 711, 1611, 454, 10818, 532, 538, 1514, 10072, 269, 2201, 519, 454, 4186, 9009, 267, 621, 3340, 606, 4656, 540, 454, 821, 779, 1604, 267, 540, 1514, 6384, 454, 663, 540, 519, 5107, 835, 4249, 543, 6499, 547, 454, 2452, 269, 898, 3340, 2043, 547, 581, 454, 11391, 10062, 547, 4383, 741, 2729, 538, 454, 26074, 995, 543, 3743, 2081, 676, 454, 1410, 2075, 2358, 1852, 936, 741, 2713, 543, 454, 31714, 1590, 957, 8238, 558, 3585, 538, 454, 4650, 547, 7119, 3927, 538, 519, 454, 31141, 540, 2486, 543, 547, 1599, 454, 6202, 538, 1114, 21384, 540, 1272, 1519, 454, 1492, 9036, 267, 1920, 1272, 543, 1514, 1272, 563, 1607, 568, 1317, 789, 991, 547, 1020, 454, 785, 2570, 1836, 606, 3961, 543, 547, 1118, 5079, 267, 2864, 982, 1175, 1246, 519, 15624, 269, 769, 3257, 865, 2676, 16269, 991, 547, 2992, 593, 741, 2418, 543, 593, 741, 3527, 563, 8002, 532, 8238, 558, 3585, 568, 3226, 1271, 538, 519, 2413, 1158, 1141, 1142, 1268, 779, 2990, 454, 529, 711, 607, 1134, 20452, 607, 729, 519, 2013, 12926, 269, 15706, 991, 547, 1711, 513, 2123, 3961, 454, 514, 1931, 547, 2285, 741, 2729, 2495, 267, 547, 5581, 875, 789, 3514, 538, 269, 2290, 14745, 540, 713, 568, 609, 454, 27920, 547, 960, 267, 1141, 972, 616, 7864, 7123, 267, 15400, 23909, 2324, 585, 513, 2582, 16108, 563, 1103, 2489, 267, 13190, 3340, 606, 10066, 2509, 519, 2104, 543, 606, 4656, 540, 835, 779, 454, 523, 1444, 267, 540, 1514, 6384, 543, 540, 519, 5107, 835, 4249, 543, 6499, 547, 1404, 269, 898, 17648, 519, 454, 335, 1601, 11970, 540, 513, 3280, 1582, 8410, 1061, 543, 519, 2702, 547, 14377, 2115, 543, 6499, 883, 6411, 540, 786, 912, 1372, 17800, 267, 3903, 543, 2962, 563, 763, 2702, 547, 957, 1369, 519, 2462, 4605, 454, 1607, 1883, 28671, 3340, 2043, 547, 1174, 543, 2015, 519, 9962, 2796, 540, 741, 454, 13905, 543, 3664, 269, 2334, 568, 267, 621, 3340, 835, 547, 1491, 2272, 540, 875, 789, 9305, 267, 585, 1383, 2676, 1729, 2486, 779, 8155, 267, 547, 1514, 543, 2804, 5238, 543, 547, 1018, 814, 5949, 538, 519, 2250, 563, 3080, 2115, 547, 21028, 875, 835, 779, 1378, 3527, 543, 3664, 3514, 883, 713, 9962, 4605, 563, 1607, 28671, 3340, 2043, 267, 585, 3236, 267, 547, 912, 22461, 13760, 3270, 3248, 22461, 5620, 606, 2856, 540, 519, 1062, 538, 799, 789, 2291, 630, 328, 4318, 269, 1174, 922, 3889, 267, 2528, 2676, 335, 847, 1182, 267, 543, 6101, 543, 13016, 3652, 543, 6788, 543, 519, 5107, 789, 1404, 1369, 454, 1691, 634, 9502, 543, 19139, 540, 6206, 14847, 4293, 454, 22461, 634, 991, 547, 29311, 835, 779, 3961, 543, 1305, 3853, 2676, 514, 1950, 1158, 454, 22461, 634, 991, 547, 3635, 2924, 543, 1491, 454, 22461, 634, 991, 547, 1174, 835, 779, 1604, 543, 454, 288, 269, 2920, 1369, 519, 2462, 4605, 454, 289, 269, 4813, 543, 2932, 1272, 4566, 543, 2123, 454, 290, 269, 4347, 754, 543, 7682, 2924, 267, 4690, 267, 7182, 543, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1691, 454, 527, 267, 1519, 1620, 4031, 543, 6042, 267, 855, 849, 7938, 9287, 1514, 8155, 267, 5837, 454, 322, 3941, 267, 25654, 543, 7014, 269, 898, 1264, 906, 606, 1620, 540, 2924, 609, 1702, 454, 1993, 519, 10148, 593, 3527, 3248, 22461, 10576, 519, 1463, 543, 9940, 4539, 540, 741, 3527, 282, 543, 454, 22461, 7994, 1063, 1114, 6030, 540, 2962, 676, 10452, 593, 741, 1761, 4539, 454, 514, 6935, 547, 1367, 543, 3838, 8155, 543, 3853, 563, 763, 2702, 547, 1106, 543, 2932, 1272, 4566, 543, 2123, 3785, 454, 1607, 28671, 10039, 519, 1523, 540, 1788, 2359, 547, 2043, 269, 898, 3340, 454, 785, 1339, 338, 547, 4612, 1272, 607, 606, 22555, 2239, 543, 547, 2285, 621, 2495, 543, 3483, 538, 513, 454, 577, 4474, 1604, 267, 1141, 1272, 568, 1419, 27929, 563, 1607, 28671, 17648, 606, 10066, 4724, 519, 2104, 267, 31552, 1312, 27277, 543, 454, 13607, 1113, 267, 855, 849, 513, 6109, 27733, 1369, 519, 7706, 540, 519, 15164, 269, 15706, 1590, 581, 2111, 2676, 1721, 3236, 267, 547, 912, 22461, 16294, 513, 1788, 543, 1305, 513, 3804, 3248, 22461, 10576, 543, 6218, 1312, 519, 2200, 547, 799, 789, 723, 1569, 543, 519, 2200, 789, 454, 928, 2644, 630, 324, 3052, 269, 942, 543, 2724, 11850, 22461, 26875, 1047, 543, 13217, 3853, 3248, 22461, 18696, 519, 2200, 2877, 547, 2743, 2789, 3853, 3248, 22461, 6258, 689, 2250, 3527, 267, 1788, 532, 2104, 4093, 282, 543, 454, 22461, 18554, 3356, 267, 1818, 2556, 11941, 607, 513, 1788, 4652, 9529, 563, 763, 2702, 547, 7682, 2924, 267, 4690, 267, 7182, 543, 2115, 454, 1607, 28671, 568, 1271, 585, 8658, 8151, 689, 3810, 11295, 3656, 12602, 547, 454, 22336, 1485, 8320, 540, 7682, 4369, 540, 2043, 685, 1378, 4690, 269, 4014, 1082, 971, 2924, 543, 454, 928, 2644, 616, 3964, 543, 6870, 538, 4031, 610, 11731, 267, 621, 568, 6038, 909, 547, 2043, 547, 454, 1211, 1518, 543, 6218, 741, 2924, 267, 2115, 543, 4690, 630, 553, 1134, 607, 1346, 540, 1866, 264, 543, 547, 7682, 454, 663, 9718, 873, 8362, 563, 4002, 519, 835, 1688, 267, 713, 28671, 12211, 547, 1582, 15129, 2924, 543, 2115, 282, 593, 519, 824, 1688, 2676, 527, 849, 12211, 547, 519, 2924, 543, 2115, 540, 519, 1367, 607, 513, 4759, 540, 519, 7104, 630, 324, 3052, 269, 8362, 454, 4820, 4602, 908, 538, 11180, 5238, 543, 538, 2199, 543, 3084, 2797, 3157, 1040, 634, 454, 4818, 564, 1890, 10522, 519, 2702, 267, 585, 3236, 267, 547, 912, 22461, 13760, 835, 779, 1378, 4690, 630, 324, 3052, 269, 538, 606, 9550, 11850, 22461, 5700, 2854, 3652, 543, 3741, 593, 799, 547, 3490, 513, 2013, 3248, 22461, 20472 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1353, 7014, 17246, 1228, 2048, 560, 1066, 6681, 2168, 2534, 685, 543, 1022, 11311, 6527, 269, 6226, 3455, 4446, 5886, 568, 9663, 1190, 950, 1010, 3659, 808, 1442, 661, 9405, 6238, 6580, 519, 2648, 540, 1010, 1272, 11875, 773, 3162, 10290, 269, 22868, 538, 5245, 634, 8241, 4346, 568, 13856, 676, 519, 2533, 5823, 267, 4553, 676, 2872, 543, 6683, 269, 17897, 476, 1015, 1107, 22774, 3670, 7097, 9594, 15318, 589, 25934, 1107, 11778, 634, 2063, 4960, 585, 938, 9946, 547, 1039, 930, 2338, 547, 519, 27805, 543, 2899, 1586, 267, 519, 1482, 1614, 602, 4769, 1406, 1205, 3238, 538, 519, 2063, 5180, 3442, 711, 547, 7119, 2899, 1586, 269, 4039, 8271, 774, 272, 6438, 1775, 301, 298, 307, 2281, 4043, 547, 581, 23353, 1369, 519, 838, 22220, 543, 6797, 267, 1247, 774, 273, 6438, 1775, 301, 298, 307, 2281, 616, 2404, 609, 519, 9641, 543, 16892, 476, 274, 2443, 476, 277, 269, 667, 1662, 331, 2033, 568, 835, 540, 519, 1655, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 12465, 27884, 4860, 1388, 1242, 998, 16503, 5928, 910, 589, 10312, 593, 7111, 1977, 22383, 543, 18753, 26358, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 6805, 5159, 723, 1031, 13371, 2835, 543, 8642, 9089, 547, 2671, 2757, 2984, 543, 1711, 1007, 3283, 1247, 8497, 2686, 6561, 269, 1358, 786, 849, 1451, 827, 519, 2956, 540, 6041, 543, 4763, 538, 9423, 780, 7072, 281, 1280, 5553, 267, 1004, 723, 3838, 2984, 547, 4001, 4245, 267, 8190, 5389, 267, 543, 7038, 1142, 824, 269, 1452, 8941, 666, 1491, 1585, 3029, 267, 971, 607, 2854, 6386, 267, 5711, 12583, 267, 8964, 267, 7544, 12644, 267, 543, 3308, 1148, 269, 4653, 267, 649, 786, 2263, 875, 930, 4207, 7111, 1977, 5159, 946, 12383, 543, 18615, 1148, 1765, 321, 21392, 1634, 607, 14676, 543, 8642, 9089, 23121, 2995, 8903, 2984, 602, 8956, 18577, 7326, 543, 8300, 7820, 5481, 780, 4089, 476, 272, 281, 4197, 22383, 543, 18753, 26358, 454, 4467, 923, 543, 8642, 9089, 9192, 1913, 267, 2592, 267, 543, 1374, 2609, 899, 8440, 267, 4633, 18616, 267, 543, 3280, 2360, 547, 6655, 6422, 6386, 269, 22702, 547, 18340, 3332, 267, 713, 3898, 2636, 3988, 547, 10110, 1344, 5488, 1813, 547, 922, 3810, 3308, 2470, 269, 3958, 267, 621, 2488, 3255, 585, 17634, 609, 2985, 29282, 543, 8470, 13289, 267, 2870, 2189, 2081, 547, 1995, 2984, 780, 7078, 281, 6056, 827, 707, 5172, 15705, 7260, 282, 8458, 616, 267, 621, 729, 1759, 593, 513, 2442, 13371, 1433, 3126, 256, 1635, 24758, 891, 11609, 9035, 883, 4670, 267, 801, 3930, 3142, 11537, 3197, 543, 13858, 13602, 547, 1272, 585, 6626, 9458, 780, 4089, 476, 273, 281, 7087, 20551, 22737, 14938, 1113, 3203, 454, 1103, 2487, 1296, 267, 1082, 7111, 1977, 5159, 723, 5828, 547, 14676, 543, 8642, 9089, 607, 5867, 547, 2769, 2933, 543, 13599, 3988, 827, 6805, 4529, 269, 4635, 1312, 2413, 6163, 543, 2757, 18305, 267, 789, 4739, 9159, 6386, 7184, 12082, 538, 741, 2950, 262, 2418, 543, 4978, 269, 2368, 1256, 3082, 2085, 6040, 14868, 543, 17691, 585, 2221, 781, 5304, 267, 4180, 602, 3504, 7326, 679, 706, 637, 998, 942, 780, 7078, 281, 1488, 580, 517, 853, 1551, 781, 8111, 4095, 3126, 5205, 16502, 13535, 6975, 8298, 534, 267, 513, 12504, 540, 519, 14070, 744, 9383, 1695, 2674, 30063, 1572, 834, 763, 1234, 345, 2437, 1141, 646, 25395, 1010, 2706, 335, 10183, 1310, 4189, 512, 20557, 20161, 10381, 7856, 676, 519, 772, 2529, 269, 2229, 269, 3414, 9644, 543, 24337, 267, 853, 1551, 24259, 1769, 593, 3140, 2152, 7133, 5065, 5095, 1247, 14120, 17174, 6043, 780, 4089, 476, 274, 281, 23830, 25198, 454, 3528, 10023, 3309, 23233, 543, 5466, 4143, 4798, 267, 6805, 14676, 543, 8642, 3209, 4589, 3565, 9797, 547, 1454, 32571, 6041, 1369, 2442, 2923, 269, 22628, 11541, 3197, 543, 3871, 2337, 12790, 6107, 1745, 2938, 543, 4862, 267, 5807, 1582, 21873, 543, 11348, 538, 741, 9163, 269, 5015, 267, 4598, 547, 1114, 5380, 8992, 6568, 1851, 782, 3988, 267, 28043, 10616, 1063, 2950, 543, 8716, 1620, 780, 12244, 281, 5620, 1053, 1382, 513, 7111, 1977, 7376, 945, 5932, 14676, 610, 8642, 9089, 269, 9105, 873, 547, 5965, 513, 2110, 6881, 10223, 519, 1739, 2798, 1384, 265, 16684, 12092, 540, 519, 2278, 454, 265, 7170, 4433, 264, 540, 741, 8037, 1568, 454, 265, 11137, 540, 519, 1292, 4798, 543, 6835, 24829, 538, 1346, 1568, 454, 265, 1215, 891, 13144, 948, 8190, 6805, 2528, 543, 3895, 2318, 6041, 692, 6962, 281, 10801, 1480, 1686, 267, 1650, 339, 25527, 723, 9862, 2757, 6386, 2066, 1585, 23447, 547, 3914, 9962, 9458, 269, 2060, 519, 4473, 540, 14676, 543, 8642, 9089, 267, 7111, 1977, 5159, 1631, 4865, 1776, 3532, 1907, 547, 2671, 741, 3638, 6561, 267, 2232, 10296, 1514, 4145, 267, 543, 7668, 2104, 5481, 269, 1306, 596, 5490, 4514, 883, 713, 4241, 5339, 1106, 267, 2015, 3695, 2199, 8021, 610, 2228, 2200, 585, 2417, 2542, 10372, 269, 8414, 8906, 24098, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 523, 6468, 543, 6348, 5174, 2435, 22383, 6282, 832, 29594, 547, 519, 3733, 8084, 4432, 22451, 540, 519, 9835, 623, 3700, 632, 3288, 642, 4068, 546, 262, 17951, 9567, 17845, 1889, 454, 763, 9835, 623, 3700, 632, 3288, 642, 4068, 546, 262, 17951, 9567, 17845, 1889, 568, 606, 3486, 10715, 9740, 8366, 2016, 12422, 1282, 519, 4911, 9567, 17845, 1889, 4139, 22383, 16635, 538, 5333, 269, 9282, 519, 13037, 17758, 513, 1297, 540, 20380, 26065, 547, 14676, 15888, 267, 519, 9835, 623, 3700, 24903, 11438, 2484, 811, 2597, 982, 1022, 540, 519, 1866, 267, 2094, 23602, 616, 6444, 585, 741, 1764, 593, 519, 1686, 540, 14676, 693, 1804, 269, 901, 1032, 267, 782, 476, 1789, 540, 519, 9930, 710, 525, 941, 28250, 2367, 267, 799, 267, 2016, 519, 3486, 9165, 540, 519, 17758, 267, 5267, 602, 476, 280, 324, 11286, 1341, 630, 1492, 2754, 3743, 585, 12180, 519, 13037, 264, 1223, 711, 1589, 540, 835, 4807, 267, 1098, 267, 610, 1875, 321, 2435, 14676, 17082, 538, 519, 1158, 945, 964, 5703, 547, 581, 6444, 585, 513, 8717, 779, 4502, 540, 741, 960, 563, 763, 11814, 604, 964, 1835, 2946, 520, 4631, 632, 6512, 324, 546, 612, 514, 19902, 733, 516, 682, 3023, 1143, 324, 630, 320, 7104, 540, 20419, 15888, 1996, 3023, 1143, 1070, 799, 1185, 21947, 519, 16635, 513, 3923, 1354, 827, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25565, 27884, 4860, 1388, 1242, 998, 16503, 5928, 257, 607, 851, 540, 834, 16300, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 7111, 1977, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 267, 1762, 17024, 256, 4653, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 883, 519, 4241, 7706, 540, 6138, 543, 2263, 835, 540, 922, 1034, 10578, 8371, 1107, 26381, 1108, 269, 13018, 267, 649, 786, 4685, 2620, 883, 513, 2101, 3350, 1369, 26381, 1108, 1634, 607, 681, 9569, 3201, 26113, 269, 5213, 1406, 5855, 952, 891, 2474, 3280, 7294, 282, 676, 519, 1439, 540, 938, 942, 1927, 267, 596, 3513, 581, 1210, 873, 899, 5294, 2439, 3383, 267, 1018, 4010, 1281, 968, 788, 626, 655, 1108, 892, 1611, 286, 898, 2501, 689, 5259, 1913, 1412, 788, 626, 30937, 3299, 799, 1797, 1702, 267, 543, 21029, 8421, 807, 3299, 2495, 1353, 269, 4935, 267, 26381, 1108, 3274, 4016, 547, 519, 1353, 540, 1702, 3294, 1107, 2055, 827, 1141, 938, 1620, 543, 4978, 2097, 689, 267, 875, 22973, 789, 616, 267, 543, 950, 666, 649, 3409, 547, 5963, 2048, 3104, 685, 1945, 269, 15346, 267, 1318, 31841, 3086, 1577, 781, 5490, 883, 7787, 1143, 269, 5994, 1373, 4843, 609, 1079, 10833, 281, 835, 3568, 13212, 1247, 519, 824, 814, 24453, 269, 1403, 594, 2307, 596, 547, 9420, 19507, 3054, 267, 3914, 883, 2901, 4216, 267, 10544, 513, 4829, 267, 543, 2995, 803, 1018, 596, 13603, 267, 875, 1131, 596, 6430, 286, 1411, 1522, 5402, 1745, 519, 3337, 267, 2597, 267, 610, 9403, 540, 519, 4829, 538, 707, 1688, 1354, 1818, 513, 7058, 269, 1717, 267, 9327, 1405, 621, 581, 1390, 952, 596, 1223, 918, 301, 8582, 585, 2386, 2436, 621, 729, 606, 11945, 610, 10538, 1510, 1256, 3168, 610, 4743, 621, 286, 2334, 781, 9247, 1018, 7787, 1235, 3494, 281, 602, 3425, 4865, 1978, 2790, 5759, 7175, 721, 547, 2744, 1702, 3564, 6071, 1995, 780, 2080, 616, 1614, 1883, 2798, 10747, 681, 9569, 3201, 26113, 1384, 272, 269, 2878, 1103, 333, 622, 14313, 4995, 4340, 547, 7787, 1235, 267, 1004, 616, 4535, 609, 1808, 3710, 2987, 2035, 610, 2093, 630, 4883, 622, 2093, 1070, 3850, 721, 547, 1174, 1950, 18408, 827, 519, 1158, 269, 1280, 1383, 267, 2015, 2241, 12980, 4238, 971, 607, 1840, 610, 8691, 269, 1284, 16022, 569, 9787, 891, 2035, 1510, 1565, 998, 2833, 4805, 780, 273, 269, 2878, 3725, 1783, 26361, 15232, 4995, 2755, 10686, 27913, 630, 29006, 945, 11168, 519, 1909, 540, 1995, 264, 8044, 602, 782, 1702, 24865, 689, 10444, 1344, 267, 7787, 1235, 2226, 602, 2601, 4249, 513, 811, 1713, 1909, 269, 1358, 15974, 602, 7744, 6087, 721, 547, 17429, 576, 7493, 6436, 543, 3652, 602, 949, 6382, 2611, 6456, 3297, 6151, 1239, 10356, 3842, 12823, 780, 274, 269, 2878, 288, 13405, 328, 11310, 4995, 901, 1523, 5267, 602, 930, 1702, 3085, 1405, 2154, 1022, 5885, 2963, 689, 8343, 610, 1995, 1317, 621, 568, 1582, 17272, 1211, 569, 3020, 269, 1323, 14745, 540, 713, 2856, 568, 2596, 6310, 4834, 899, 476, 273, 266, 273, 284, 275, 1107, 1100, 991, 547, 1293, 1483, 3615, 547, 6166, 713, 1249, 2439, 4131, 781, 1491, 513, 4090, 547, 5660, 1946, 3695, 891, 2093, 6927, 269, 1635, 6313, 1114, 16752, 593, 875, 649, 10536, 1702, 267, 649, 1451, 3407, 4245, 827, 2565, 3206, 267, 15819, 10054, 267, 543, 3384, 1134, 3146, 1783, 539, 7440, 269, 1452, 1983, 4019, 2484, 3564, 519, 4928, 4259, 543, 948, 1711, 5483, 4961, 5827, 540, 10188, 2221, 781, 3728, 19550, 267, 2479, 19145, 1158, 780, 8855, 267, 10952, 5717, 5749, 1405, 2141, 2653, 855, 11432, 1359, 2462, 4555, 31168, 7279, 543, 5876, 269, 1924, 1832, 6998, 1346, 9157, 2055, 267, 4161, 6671, 7326, 267, 543, 9784, 707, 6418, 14544, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 21478, 540, 16817, 593, 13898, 543, 4033, 10749, 454, 6637, 476, 1556, 281, 634, 19043, 540, 519, 9046, 540, 11310, 454, 3951, 568, 1631, 1945, 936, 513, 2540, 2094, 23006, 1572, 2390, 15806, 547, 24044, 741, 4901, 3823, 519, 2470, 540, 519, 1158, 543, 519, 282, 3741, 540, 6228, 2394, 789, 1185, 8452, 693, 930, 3932, 3823, 519, 2470, 540, 519, 6616, 1184, 269, 1809, 1053, 540, 6138, 917, 602, 23006, 19775, 519, 2243, 834, 875, 1702, 568, 2009, 834, 2864, 982, 2813, 621, 269, 1306, 2339, 540, 1249, 267, 14436, 2219, 585, 1079, 5553, 1354, 23006, 1185, 1044, 21246, 958, 5461, 538, 1175, 713, 1966, 267, 4352, 621, 910, 1185, 711, 20902, 922, 1378, 1719, 269, 23006, 4547, 547, 9637, 519, 9013, 30254, 269, 634, 4901, 267, 1312, 538, 23006, 5128, 543, 538, 1010, 1967, 832, 267, 1419, 4667, 4416, 2880, 267, 4503, 538, 24631, 11029, 1399, 267, 4416, 2880, 4661, 267, 543, 2930, 21441, 269, 10738, 519, 2063, 8717, 538, 1880, 972, 723, 1044, 4191, 540, 513, 3395, 5957 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 24145, 1155, 814, 2141, 1044, 851, 540, 938, 3232, 2729, 269, 22439, 689, 1114, 2694, 540, 519, 1158, 1118, 1142, 5888, 851, 540, 519, 10340, 610, 519, 2898, 2486, 269, 769, 8726, 1650, 602, 649, 1224, 267, 649, 2119, 547, 1174, 922, 1514, 5380, 543, 519, 19237, 540, 519, 3197, 269, 2368, 540, 519, 535, 1112, 25875, 6386, 12909, 827, 519, 22293, 267, 1799, 7394, 885, 267, 543, 2192, 16479, 3206, 540, 519, 2486, 2509, 1434, 543, 9409, 269, 5221, 540, 1379, 267, 930, 540, 721, 4043, 1831, 19450, 609, 938, 3527, 1175, 547, 6961, 602, 649, 616, 519, 6392, 563, 1607, 568, 1018, 519, 1079, 2984, 13886, 968, 295, 28207, 19161, 518, 517, 892, 676, 918, 4669, 966, 517, 10864, 583, 543, 968, 306, 629, 1774, 584, 892, 676, 12794, 29883, 6499, 547, 20818, 547, 18795, 3988, 269, 3245, 891, 1079, 2984, 267, 621, 666, 581, 1767, 602, 1256, 952, 649, 6499, 547, 1118, 938, 2729, 3160, 543, 3501, 267, 972, 616, 1869, 1978, 3871, 602, 786, 4255, 938, 23141, 1107, 547, 1831, 12325, 610, 4550, 12516, 525, 540, 519, 2486, 269, 634, 1292, 1915, 538, 966, 517, 10864, 583, 779, 1650, 568, 6723, 19161, 518, 517, 269, 3571, 1920, 2729, 513, 3339, 1272, 1354, 855, 1317, 789, 941, 29802, 676, 519, 4108, 585, 513, 2027, 2013, 267, 741, 2729, 941, 8297, 1441, 563, 24576, 2688, 1557, 32445, 610, 14640, 12516, 525, 281, 589, 10886, 540, 513, 6936, 14740, 609, 1863, 17096, 1867, 454, 24730, 9909, 540, 1010, 5067, 1169, 3781, 855, 621, 779, 782, 513, 5326, 269, 1261, 6499, 547, 1294, 26858, 855, 646, 6487, 646, 1223, 711, 269, 6723, 607, 519, 16502, 538, 519, 1650, 568, 513, 26841, 540, 1514, 26646, 543, 17536, 1182, 269, 1261, 568, 513, 4999, 540, 513, 1523, 540, 5869, 543, 4550, 268, 12516, 269, 1261, 568, 513, 5869, 540, 1010, 1920, 855, 606, 4550, 12516, 540, 1010, 14763, 610, 519, 21087, 1235, 540, 1010, 1272, 269, 26858, 30280, 1996, 519, 2229, 543, 519, 1062, 269, 1261, 1965, 7870, 689, 519, 21569, 538, 1931, 547, 2490, 1524, 519, 2229, 269, 898, 666, 581, 1767, 607, 513, 1106, 540, 1367, 1143, 1317, 26858, 14659, 540, 1010, 1378, 6571, 543, 711, 593, 519, 2856, 540, 21338, 606, 3390, 563, 3891, 6499, 547, 2881, 526, 1144, 519, 2229, 585, 2123, 1719, 543, 547, 1711, 1010, 1378, 21257, 269, 3414, 713, 267, 646, 2968, 606, 4550, 12516, 1317, 646, 3442, 547, 1831, 1010, 1378, 7209, 543, 711, 585, 519, 1732, 618, 540, 1010, 2486, 269, 1717, 267, 519, 3988, 1223, 711, 16620, 519, 3197, 585, 789, 616, 27945, 543, 27303, 269, 968, 5445, 941, 21002, 2989, 609, 521, 1662, 12035, 543, 11435, 540, 5017, 14653, 267, 543, 741, 8188, 941, 9633, 539, 267, 865, 602, 1100, 835, 267, 7487, 513, 1863, 543, 11419, 995, 23972, 610, 513, 7168, 3068, 267, 1131, 1745, 899, 1945, 519, 3032, 3075, 538, 630, 309, 517, 10864, 583, 1916, 892, 1358, 6560, 538, 513, 1799, 7394, 2486, 1175, 1317, 789, 616, 1434, 4961, 543, 2348, 513, 3339, 1272, 269, 2334, 568, 1946, 1256, 952, 789, 11441, 2182, 547, 1831, 12560, 543, 960, 585, 741, 2146, 267, 789, 1869, 7985, 269, 634, 7862, 1705, 711, 2291, 1318, 998, 741, 1604, 269, 2201, 519, 824, 1259, 1472, 267, 12794, 29883, 779, 1650, 568, 513, 26841, 540, 1514, 1799, 528, 1275, 269, 634, 6392, 1500, 19450, 6285, 2509, 824, 1004, 547, 6961, 741, 1379, 543, 4222, 282, 547, 1397, 602, 789, 616, 1318, 1107, 1256, 952, 711, 269, 6004, 563, 2419, 14241, 267, 519, 1292, 1915, 540, 519, 1650, 568, 513, 32082, 538, 513, 2160, 538, 1010, 2146, 269, 1261, 1568, 2182, 543, 10741, 519, 4064, 540, 1082, 1004, 585, 519, 1732, 618, 540, 741, 2197, 543, 547, 6961, 741, 2924, 1996, 1799, 528, 1275, 543, 1514, 17536, 1182, 269, 6004, 269, 932, 14241, 568, 3257, 1010, 6009, 543, 9021, 607, 12504, 540, 1010, 1533, 269, 1717, 267, 1317, 621, 568, 711, 1318, 585, 519, 6392, 945, 568, 7598, 519, 2048, 9404, 7394, 3609, 16224, 789, 616, 7487, 1864, 607, 513, 20903, 540, 513, 6760, 267, 799, 646, 1705, 711, 269, 968, 4002, 519, 4837, 18376, 729, 513, 17835, 5627, 1344, 593, 1010, 2013, 563, 3891, 5433, 621, 29737, 602, 538, 1175, 513, 2339, 540, 3108, 789, 1185, 7213, 12885, 513, 1507, 18061, 540, 1603, 827, 1864, 269, 2201, 2034, 2219, 646, 3459, 547, 4898, 2436, 789, 1185, 6854, 513, 3758, 593, 1864, 782, 519, 942, 630, 295, 320, 1040, 9232, 6004, 269, 932, 14241, 779, 18572, 538, 519, 1101, 851, 568, 24123, 855, 607, 519, 1650, 8761, 519, 1292, 1448, 540, 1010, 1915, 267, 621, 6238, 547, 960, 547, 1831, 4550, 12516, 1317, 646, 2115, 547, 15093, 1010, 19237, 543, 4978, 585, 1010, 3659, 543, 1378, 3961, 269, 2311, 519, 1439, 540, 519, 1650, 267, 646, 23297, 547, 3398, 1010, 2048, 13062, 830, 685, 1175, 547, 581, 1863, 563, 3891, 7140, 1524, 1010, 4978, 543, 4191, 519, 1476, 11970, 538, 1931, 547, 948, 1010, 608, 24713, 550, 15818, 674, 523, 329, 20041, 581, 11074, 689, 1373, 12475, 3293, 676, 519, 7128, 10492, 269, 769, 4276, 540, 519, 1079, 3197, 538, 519, 1650, 267, 1312, 26858, 543, 6004, 269, 932, 14241, 267, 741, 25796, 19838, 657, 3094, 269, 6004, 269, 932, 14241, 19082, 519, 17537, 538, 16334, 10202, 269, 1261, 3587, 519, 17939, 1774, 584, 282, 789, 934, 2224, 1864, 693, 519, 1360, 4098, 269, 1358, 1312, 31111, 1996, 519, 1062, 855, 1287, 11654, 741, 1378, 4690, 269, 2311, 519, 1439, 540, 621, 782, 267, 519, 1079, 2984, 4734, 519, 3988, 930, 7341, 543, 1565, 827, 519, 1483, 3510, 540, 519, 2486, 563, 763, 1079, 2984, 616, 2813, 538, 1114, 1106, 540, 2528, 855, 789, 616, 11214, 9838, 547, 835, 1776, 269, 634, 8128, 616, 1799, 7394, 543, 24407, 1881, 609, 741, 3527, 269, 1358, 1616, 8788, 543, 24178, 1510, 7674, 741, 1004, 269, 634, 3197, 945, 7985, 689, 782, 519, 6937, 543, 5208, 2611, 27945, 543, 27303, 269, 1548, 789, 723, 547, 798, 568, 547, 21704, 269, 1358, 941, 12325, 540, 741, 1378, 2014, 855, 789, 2968, 4550, 12516, 525, 540, 741, 1378, 15683, 269, 634, 4589, 540, 519, 2984, 1500, 513, 1713, 4323, 1996, 519, 6392, 540, 519, 2486, 563, 5445, 1590, 917, 741, 7687, 547, 1118, 741, 2486, 513, 1732, 835, 585, 789, 616, 519, 2936, 619, 540, 1876, 543, 789, 616, 5701, 607, 16614, 2043, 945, 1118, 741, 1004, 17956, 543, 1863, 689, 2800, 1107, 865, 789, 1590, 849, 3142, 1394, 519, 2463, 585, 789, 616, 519, 6392, 269, 769, 3932, 547, 713, 267, 621, 666, 581, 1767, 602, 519, 1079, 3197, 538, 519, 2984, 616, 4550, 12516, 525, 269, 769, 519, 4098, 540, 519, 6386, 267, 789, 941, 29802, 543, 789, 15093, 811, 982, 1018, 789, 4397, 1317, 789, 723, 741, 1378, 19237, 543, 4978, 563, 4913, 267, 607, 789, 1995, 519, 6937, 543, 24279, 1369, 741, 2619, 267, 789, 3323, 547, 1589, 585, 20947, 1996, 519, 1062, 945, 12475, 3293, 741, 1915, 269, 1403, 649, 1413, 693, 519, 14402, 5133, 267, 649, 1223, 711, 16620, 873, 689, 782, 519, 2833, 602, 789, 723, 8854, 998, 269, 1717, 267, 952, 649, 2119, 547, 3343, 519, 4514, 5133, 540, 2013, 267, 789, 786, 2611, 607, 4550, 12516, 525, 540, 519, 2486, 1317, 789, 960, 585, 741, 1378, 21257, 543, 9547, 543, 711, 585, 519, 1732, 618, 540, 741, 2898, 2486, 269, 3718, 24764, 12794, 267, 29883, 269, 17939, 1774, 584, 269, 966, 517, 10864, 583, 267, 918, 4669, 269, 26858, 19161, 518, 517, 563, 12441, 596, 917, 602, 649, 723, 936, 476, 3583, 267, 1822, 3594, 593, 476, 274, 267, 1822, 3584, 538, 938, 6538, 286, 0, 22261, 476, 2767, 267, 476, 1220, 280, 6440, 6168, 24533, 24533, 11061, 24533, 568, 17453, 1570, 799, 10953, 4222, 950, 621, 23465, 609, 1216, 269, 898, 568, 22803, 1570, 799, 5161, 540, 12444, 563, 23895, 618, 5685, 5109, 6713, 281, 634, 3803, 1184, 540, 9160, 1818, 568, 1572, 9096, 8860, 269, 1849, 28310, 546, 2216, 609, 6417, 2179, 540, 31682, 568, 10480, 883, 513, 11831, 7085, 267, 513, 8880, 5374, 8546, 4904, 609, 5374, 11084, 269, 1306, 519, 8546, 29226, 267, 519, 5374, 11084, 6084, 1076, 543, 24807, 519, 804, 28310, 883, 513, 15988, 710, 8869, 563, 17387, 539, 9160, 543, 804, 28310, 1547, 1984, 267, 9493, 732, 526, 476, 276, 267, 4375, 274, 476, 277, 267, 3607, 278, 476, 278, 267, 276, 5780, 476, 277, 267, 7785, 476, 278, 267, 7785, 1547, 519, 23812, 540, 519, 2259, 543, 519, 1826, 540, 269, 24533, 1849, 28310, 25416, 7085, 13242, 769, 1849, 28310, 25416, 6713, 1547, 9160, 804, 28310, 8860, 1984, 1031, 538, 804, 28310, 8860, 1184, 2030, 7824, 8860, 540, 9160, 804, 28310, 543, 1644, 15283, 300, 585, 1547, 513, 743, 338, 1353, 3391, 476, 1001, 273, 7824, 4429, 1103, 519, 9160, 2504, 1899, 267, 6721, 476, 272, 9522, 540, 24533, 991, 20836, 693, 2547, 476, 274, 9748, 540, 2326, 630, 10175, 6151, 2326, 267, 4492, 267, 804, 28310, 267, 6404, 2326, 267, 4445, 26011, 1040, 26364, 4193, 5106, 27499, 827, 476, 2568, 260, 540, 2698, 1379, 538, 9160, 2371, 267, 6151, 1570, 8860, 811, 982, 476, 1789, 9077, 1247, 5755, 1984, 1031, 538, 9160, 2030, 27499, 476, 274, 9077, 9160, 8860, 827, 476, 2412, 18336, 4517, 519, 804, 28310, 8781, 1184, 11887, 267, 607, 1134, 607, 6151, 7594, 267, 519, 2298, 540, 804, 28310, 269, 1849, 28310, 8781, 1184, 568, 519, 9160, 2504, 1900, 609, 519, 5207, 1942, 269, 18520, 6151, 2326, 543, 6281, 10173, 723, 2462, 1942, 9494, 1761, 543, 13947, 10173, 2087, 519, 2910, 476, 273, 25270, 269, 634, 1950, 2361, 540, 804, 28310, 8781, 13408, 519, 1739, 3584, 281, 3040, 7233, 2029, 630, 17742, 9401, 9734, 267, 18287, 10719, 267, 27414, 4586, 3383, 267, 519, 6151, 3575, 568, 26151, 547, 3132, 804, 28310, 2433, 519, 2596, 1570, 2877, 547, 1118, 9160, 269, 23740, 8921, 21984, 3575, 29137, 9023, 7982, 840, 515, 908, 804, 28310, 4859, 693, 519, 2030, 21984, 1984, 5990, 595, 30121, 631, 3198, 308, 293, 16898, 7838, 5058, 11550, 290, 8577, 2433, 634, 804, 28310, 543, 519, 4586, 23895, 618, 1849, 28310, 19007, 6713, 7233, 13870, 540, 24533, 1849, 28310, 19007, 6713, 10724, 2060, 519, 6024, 6454, 540, 519, 2029, 540, 519, 1984, 267, 519, 24533, 1849, 28310, 19007, 6713, 10724, 814, 1044, 4294, 538, 519, 2361, 540, 6405, 11544, 2371, 267, 855, 930, 5561, 723, 1572, 519, 15146, 543, 1767, 602, 454, 7628, 519, 1184, 540, 9160, 2504, 267, 476, 274, 9748, 540, 2326, 693, 2547, 616, 2877, 547, 581, 2666, 547, 3132, 835, 9522, 540, 24144, 9160, 269, 1452, 2326, 1331, 1585, 6151, 2326, 267, 10173, 267, 804, 1074, 619, 267, 23399, 543, 31682, 269, 4340, 547, 7194, 267, 936, 476, 2568, 260, 9160, 2030, 1379, 786, 581, 10057, 547, 20836, 2326, 538, 3819, 1184, 9160, 2504, 1899, 563, 763, 4492, 568, 5337, 1243, 543, 14616, 856, 538, 519, 13674, 7997, 269, 634, 5609, 18146, 1184, 543, 519, 5250, 540, 804, 28310, 2049, 3330, 519, 29137, 269, 12182, 804, 28310, 568, 22799, 538, 519, 16830, 269, 19264, 1304, 2011, 568, 1031, 547, 3579, 519, 804, 28310, 543, 13148, 1031, 585, 5755, 13674, 269, 634, 22799, 804, 28310, 568, 6740, 538, 519, 804, 28310, 13452, 270, 743, 28310, 3623, 334, 585, 9160, 4586, 26660, 2667, 4269, 540, 24533, 689, 13870, 1547, 547, 14716, 1547, 3465, 5034, 676, 2433, 932, 16211, 476, 1691, 269, 555, 1547, 5988, 1547, 476, 1220, 277, 269, 12474, 3267, 815, 21079, 2504, 1942, 815, 13724, 5106, 6617, 1547, 1548, 568, 24533, 7790, 24533, 589, 29656, 2666, 8869, 799, 814, 3267, 21859, 26011, 24533, 1849, 28310, 4429, 294, 344, 26011, 568, 513, 7777, 543, 568, 19872, 7513, 23253, 538, 3114, 1106, 269, 21859, 26011, 4249, 513, 1360, 1271, 1909, 538, 9013, 519, 2557, 540, 2182, 2287, 540, 519, 9160, 269, 4438, 519, 9160, 5663, 1184, 267, 2390, 519, 9023, 540, 804, 28310, 267, 513, 1507, 2179, 540, 31682, 568, 5189, 1282, 519, 3803, 8860, 1184, 563, 294, 344, 26011, 24533, 1849, 28310, 7085, 1677, 8555, 1407, 634, 13870, 6713, 269, 21859, 26011, 24533, 1849, 28310, 7085, 1677, 8555, 1407, 634, 13870, 6713, 267, 11831, 1984, 31682, 911, 26204, 335, 2167, 2889, 13630, 328, 294, 344, 26011, 18024, 1282, 862, 514, 1081, 543, 922, 1198, 593, 9160, 21545, 1633, 9160, 804, 28310 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 307, 11698, 267, 2904, 476, 1556, 267, 476, 1708, 272, 1306, 851, 540, 922, 5571, 3646, 547, 2232, 5533, 538, 2494, 10042, 7345, 267, 476, 14065, 540, 519, 476, 9965, 2199, 2229, 4559, 630, 299, 294, 5825, 264, 538, 519, 5216, 16899, 16030, 519, 2494, 10042, 7345, 1858, 723, 1044, 3177, 27054, 1457, 16327, 8803, 4559, 998, 519, 4745, 4674, 540, 519, 4972, 540, 5113, 543, 7849, 8249, 630, 291, 2894, 305, 264, 543, 27737, 595, 2106, 628, 807, 589, 269, 16645, 541, 563, 21893, 568, 851, 540, 938, 11173, 3646, 547, 2973, 909, 2494, 10042, 7345, 267, 607, 10288, 538, 519, 10966, 7040, 11173, 8260, 600, 639, 269, 20348, 3653, 2359, 568, 513, 2101, 6161, 538, 519, 2483, 1607, 476, 1708, 272, 7436, 519, 2034, 1032, 540, 519, 2494, 10042, 7345, 29407, 5358, 540, 667, 2894, 305, 267, 6382, 1634, 607, 519, 11135, 1280, 2494, 10042, 7345, 563, 2171, 1413, 1394, 593, 519, 1883, 2238, 602, 519, 667, 2894, 305, 814, 2944, 538, 519, 2250, 585, 713, 1982, 998, 606, 1102, 4919, 269, 0, 10955, 3258, 30129, 26766, 781, 1764, 593, 1977, 3332, 729, 9645, 267, 1498, 1010, 10639, 2094, 1010, 2669, 814, 11385, 730, 10169, 267, 543, 1010, 6965, 538, 1880, 11148, 547, 7941, 13915, 269, 1261, 729, 835, 540, 519, 1101, 18368, 15197, 1977, 5339, 13915, 267, 610, 267, 585, 602, 2339, 267, 5830, 269, 1261, 568, 849, 20295, 609, 2442, 1944, 519, 19792, 3209, 267, 606, 30140, 2442, 9135, 538, 519, 2136, 2276, 543, 11992, 269, 3143, 1447, 513, 4137, 538, 602, 9135, 982, 14880, 1230, 534, 667, 1195, 548, 20295, 1864, 609, 2348, 834, 321, 805, 1117, 519, 7362, 540, 1272, 257, 883, 19792, 5708, 269, 26766, 729, 1851, 519, 9998, 543, 1655, 4589, 547, 960, 538, 519, 9135, 540, 519, 2110, 1650, 267, 543, 930, 1256, 1448, 547, 26766, 607, 513, 15713, 4651, 540, 2257, 5708, 269, 0, 23991, 543, 2249, 7164, 269, 901, 835, 729, 827, 476, 277, 538, 269, 8092, 590, 29888, 568, 513, 1455, 2012, 585, 1022, 7387, 268, 1652, 267, 18714, 267, 8819, 1886, 617, 30114, 19895, 269, 590, 1663, 7714, 616, 1200, 332, 7469, 16967, 2572, 2348, 1312, 5256, 543, 4775, 10285, 8219, 269, 21452, 267, 606, 1367, 1590, 1265, 513, 19898, 267, 855, 621, 2731, 1281, 711, 2339, 607, 547, 4008, 563, 301, 3518, 8403, 10003, 267, 2282, 966, 718, 611, 13521, 267, 2098, 600, 7702, 16644, 514, 577, 6559, 19435, 267, 28130, 269, 0, 1432, 568, 595, 2001, 517, 888, 290, 2001, 517, 568, 519, 3943, 2262, 585, 15513, 269, 898, 568, 513, 11329, 6529, 540, 11954, 14589, 267, 25879, 267, 23315, 610, 10036, 1031, 585, 7801, 543, 5373, 269, 595, 2001, 976, 616, 1500, 689, 1612, 3530, 514, 14589, 6508, 689, 19386, 267, 5755, 610, 3574, 269, 12815, 601, 543, 3282, 2250, 1564, 616, 849, 2010, 540, 22916, 976, 269, 15862, 9736, 5688, 2117, 270, 4537, 13616, 18450, 454, 268, 8058, 2353, 454, 9827, 1572, 667, 3385, 1143, 267, 667, 3385, 729, 513, 5339, 543, 7499, 3350, 602, 3323, 538, 476, 4489, 277, 538, 519, 1858, 540, 2098, 584, 747, 267, 16848, 269, 898, 3459, 607, 513, 18349, 540, 7787, 1143, 543, 18541, 799, 941, 2938, 607, 2853, 602, 4547, 1158, 2112, 594, 269, 898, 849, 1185, 930, 2797, 3413, 514, 885, 538, 1840, 547, 1373, 606, 4550, 1158, 21351, 594, 1148, 269, 667, 3385, 2238, 941, 23405, 267, 19771, 267, 543, 519, 8313, 540, 5339, 270, 691, 13746, 602, 4988, 2528, 543, 2797, 3584, 563, 15187, 3203, 568, 1500, 593, 519, 4950, 267, 585, 519, 4950, 269, 20551, 945, 1711, 621, 946, 5904, 585, 11052, 267, 8858, 1148, 2228, 267, 610, 1628, 3292, 2870, 2189, 26620, 269, 4595, 519, 476, 1960, 271, 338, 267, 519, 3350, 814, 1044, 9763, 607, 1016, 951, 633, 1317, 621, 25186, 13664, 7182, 1219, 3539, 29077, 563, 9209, 27800, 568, 1148, 799, 568, 5497, 547, 2170, 609, 606, 4540, 3510, 267, 2497, 267, 11247, 267, 5304, 267, 610, 9872, 269, 3955, 6761, 2968, 2442, 538, 519, 476, 3422, 271, 338, 267, 607, 5159, 8179, 547, 1198, 1689, 538, 2797, 543, 1514, 8658, 269, 30310, 2987, 9113, 2064, 3292, 941, 6273, 676, 713, 1148, 3350, 269, 0, 16729, 2527, 3529, 5884, 32187, 267, 4993, 3268, 909, 6417, 8781, 538, 7733, 454, 4504, 1549, 958, 8654, 513, 4104, 3595, 568, 2141, 19408, 267, 3081, 25272, 14216, 2421, 267, 513, 2062, 3122, 585, 2836, 9605, 1759, 538, 7395, 26515, 269, 4634, 896, 519, 15569, 540, 8036, 4648, 267, 513, 6417, 6633, 666, 1205, 267, 1134, 267, 856, 540, 1852, 563, 2108, 12179, 942, 596, 1769, 513, 6474, 2223, 646, 1767, 267, 968, 9767, 2461, 2921, 513, 4960, 3034, 763, 4480, 1765, 10193, 1634, 607, 11311, 8781, 28934, 6964, 676, 4104, 619, 543, 23001, 16146, 547, 2569, 519, 28816, 4492, 4452, 543, 2569, 519, 4960, 540, 21472, 23967, 563, 8601, 4220, 267, 2836, 9605, 568, 12902, 856, 513, 1544, 547, 2333, 519, 10605, 543, 4336, 540, 922, 11311, 8781, 4238, 2429, 4993, 1765, 3719, 974, 6019, 3769, 563, 2108, 5978, 15292, 532, 9753, 616, 547, 1900, 621, 909, 2223, 14216, 2421, 1767, 267, 968, 8117, 621, 779, 513, 9157, 4308, 269, 1284, 666, 1406, 1769, 891, 1919, 1055, 538, 519, 1647, 540, 4832, 267, 543, 596, 991, 513, 2603, 540, 4703, 547, 1832, 621, 8659, 267, 543, 519, 2175, 723, 547, 581, 1175, 1318, 2507, 563, 14071, 10093, 1406, 1044, 2111, 547, 547, 798, 1454, 2943, 3034, 27860, 1227, 267, 11311, 8781, 568, 1373, 512, 719, 539, 607, 513, 1761, 3070, 547, 513, 3099, 540, 2042, 1644, 547, 3595, 21109, 31251, 5051, 7920, 23967, 543, 519, 10782, 13626, 27134, 15435, 538, 519, 1533, 779, 6592, 1686, 269, 769, 519, 9000, 540, 30481, 267, 1082, 7733, 723, 1831, 936, 560, 18088, 269, 3281, 7566, 585, 3908, 2200, 267, 519, 4054, 616, 18604, 543, 7786, 2744, 519, 5580, 1688, 563, 7712, 476, 1001, 271, 267, 22404, 723, 7166, 513, 11122, 8271, 6059, 476, 9083, 2929, 598, 28875, 267, 6140, 538, 519, 3844, 543, 7013, 23683, 21600, 563, 763, 2527, 3529, 5884, 32187, 723, 19430, 1533, 8387, 547, 1491, 513, 2182, 1413, 693, 4104, 2359, 2853, 269, 7831, 13628, 630, 13971, 269, 476, 1839, 1070, 519, 3803, 540, 1614, 1857, 5873, 902, 593, 3529, 9019, 729, 4371, 693, 519, 1698, 20738, 538, 15762, 26963, 334, 1354, 519, 9741, 14208, 1478, 8189, 267, 606, 4830, 23388, 8116, 14236, 519, 1533, 779, 3210, 547, 519, 6433, 269, 634, 2164, 540, 519, 1353, 4465, 1406, 581, 5950, 2394, 2038, 1985, 1032, 267, 855, 621, 729, 2312, 689, 519, 5870, 602, 2836, 9605, 17767, 519, 991, 585, 811, 14942, 2359, 1765, 328, 4318, 1421, 4227, 10173, 676, 7344, 30034, 543, 11311, 17236, 563, 31861, 1234, 27688, 2006, 267, 2836, 9605, 779, 13930, 1244, 14280, 8689, 540, 4199, 4027, 543, 6454, 267, 5143, 519, 10243, 602, 267, 936, 519, 2063, 1032, 267, 519, 8116, 814, 2799, 519, 23505, 720, 621, 779, 14616, 609, 11311, 11642, 689, 827, 476, 274, 267, 1822, 547, 476, 1691, 267, 1822, 14143, 269, 25021, 4464, 267, 2836, 9605, 814, 4857, 827, 476, 2004, 267, 1822, 14143, 540, 4104, 602, 616, 4712, 547, 6633, 1533, 4204, 267, 855, 1234, 27688, 2006, 1767, 519, 8116, 1131, 4782, 547, 723, 476, 1911, 267, 1822, 14143, 4712, 563, 14071, 917, 1141, 649, 1616, 547, 6633, 2223, 646, 1767, 269, 968, 2005, 779, 827, 2348, 519, 4316, 543, 519, 1318, 2175, 3034, 9773, 9605, 538, 1809, 974, 6019, 5701, 827, 476, 4037, 14143, 609, 11311, 3595, 538, 16642, 1032, 476, 1001, 277, 268, 1704, 543, 4566, 593, 15155, 4771, 602, 909, 547, 476, 272, 267, 1822, 14143, 538, 476, 1001, 278, 268, 1240, 269, 1809, 267, 585, 513, 1297, 540, 4128, 267, 602, 1223, 6961, 1932, 3138, 11998, 513, 3804, 563, 2690, 5756, 267, 4993, 814, 8854, 547, 1390, 13080, 547, 4339, 23967, 609, 27858, 267, 3595, 9817, 267, 3114, 29472, 1218, 543, 5230, 12227, 269, 898, 949, 711, 581, 6654, 267, 1287, 267, 602, 3595, 4249, 606, 1271, 1909, 538, 4104, 14498, 267, 5710, 532, 519, 5251, 543, 18398, 1007, 2208, 269, 2368, 2371, 267, 971, 607, 812, 345, 534, 26320, 267, 4096, 593, 519, 7920, 3002, 540, 11642, 547, 19334, 6079, 23286, 269, 19452, 267, 561, 17690, 335, 1961, 533, 1149, 991, 3595, 547, 1930, 741, 25862, 563, 3719, 1082, 4104, 539, 2127, 538, 4993, 267, 1519, 930, 538, 1809, 974, 6019, 267, 10093, 1406, 1044, 20109, 676, 3595, 538, 5756, 267, 3056, 547, 519, 19221, 540, 28816, 4492, 269, 3767, 267, 950, 23967, 798, 18009, 998, 267, 789, 616, 29099, 7920, 1765, 16838, 21472, 11652, 2836, 9605, 3112, 6488, 547, 1577, 873, 6633, 14955, 22633, 269, 7085, 687, 540, 1004, 2661, 2673, 547, 4993, 779, 3552, 4133, 563, 2108, 5978, 1101, 5692, 568, 5329, 1004, 2922, 2223, 14216, 2421, 1767, 563, 3383, 267, 519, 1533, 568, 3843, 547, 21825, 32543, 28558, 3595, 547, 519, 5251, 267, 855, 519, 22350, 10053, 7733, 1118, 11311, 17236, 1256, 1981, 1512, 563, 17606, 779, 2182, 547, 1265, 513, 1434, 1747, 547, 798, 621, 2223, 646, 1767, 269, 968, 5278, 540, 891, 4025, 723, 1044, 3595, 7721, 7672, 585, 865, 1279, 267, 621, 1522, 1118, 707, 3510, 8338, 952, 596, 2461, 711, 6297, 3034, 763, 7915, 4220, 616, 851, 540, 1946, 621, 779, 2352, 547, 1265, 2244, 14935, 3544, 540, 8041, 899, 4993, 3557, 20088, 602, 616, 8348, 547, 7119, 269, 4107, 540, 1809, 974, 6019, 779, 4104, 4133, 616, 27352, 11262, 267, 14216, 2421, 1767, 269, 3414, 2836, 9605, 779, 17164, 566, 5004, 5358, 267, 519, 8116, 17648, 15668, 689, 2244, 14935, 1247, 10647, 11311, 17236, 282, 621, 849, 666, 3390, 14998, 585, 3959, 5411, 547, 798, 519, 8781, 2933, 269, 769, 519, 8545, 9183, 267, 2836, 9605, 2488, 5583, 543, 10986, 547, 1796, 676, 538, 2013, 1945, 4422, 4636, 563, 4913, 267, 1004, 1419, 19292, 547, 1689, 741, 3601, 865, 20427, 267, 14216, 2421, 1767, 281, 968, 2005, 2242, 519, 1259, 519, 5251, 5654, 269, 1879, 596, 6633, 267, 621, 779, 2469, 547, 1413, 1114, 585, 519, 1985, 476, 1015, 1296, 610, 865, 2394, 1919, 1205, 3039, 1586, 3034, 9773, 27852, 1419, 15143, 936, 11889, 23665, 607, 1134, 269, 3465, 8282, 17236, 991, 519, 979, 8584, 3650, 689, 519, 4993, 5794, 8249, 8274, 630, 290, 2752, 289, 1070, 519, 8116, 9901, 609, 4509, 5313, 2011, 7779, 4441, 267, 607, 1134, 607, 2199, 2011, 13102, 563, 290, 2752, 289, 568, 3843, 547, 5347, 856, 519, 13170, 1184, 267, 1767, 3798, 773, 26284, 267, 519, 8116, 779, 1244, 14280, 10324, 11464, 267, 1282, 519, 9741, 14208, 1478, 8189, 6217, 269, 634, 4674, 3322, 12561, 1007, 8673, 15065, 13501, 543, 4365, 21524, 9934, 4066, 547, 948, 3391, 519, 3664, 540, 2199, 2011, 7779, 9946, 269, 634, 8945, 267, 1352, 3773, 267, 568, 8781, 811, 1510, 3648, 18363, 2011, 5533, 543, 1480, 1072, 563, 14071, 5431, 602, 11311, 17236, 666, 2087, 4104, 1072, 543, 1267, 538, 513, 2121, 5786, 540, 8511, 575, 13293, 538, 519, 1279, 2165, 2223, 1352, 1767, 269, 968, 2171, 616, 8362, 3168, 585, 2081, 547, 2333, 519, 17236, 1848, 0, 10817, 728, 267, 28924, 16086, 267, 10410, 11948, 543, 824, 454, 1607, 2647, 8573, 4474, 21038, 11394, 547, 7520, 606, 1935, 547, 519, 1353, 540, 4984, 602, 568, 22679, 3931, 267, 10763, 543, 25091, 269, 16241, 6114, 547, 5837, 2042, 786, 581, 29499, 593, 676, 6267, 267, 2055, 827, 519, 2495, 540, 1272, 786, 581, 3989, 543, 5941, 267, 543, 519, 6935, 540, 5132, 547, 3270, 540, 3661, 543, 2962, 786, 581, 17019, 269, 1358, 1382, 8567, 2073, 5771, 543, 17194, 267, 5356, 606, 4367, 547, 4984, 781, 18447, 543, 3309, 6228, 563, 302, 262, 20946, 9142, 2488, 2298, 6651, 267, 28924, 16086, 267, 10410, 11948, 543, 824, 1644, 1570, 540, 16241, 5525, 269, 13966, 609, 891, 596, 666, 1265, 519, 2250, 4574, 543, 4967, 540, 16241, 5525, 269, 2353, 519, 9115, 2139, 1934, 568, 11613, 1863, 540, 1942, 543, 4843, 883, 1360, 13561, 6073, 269, 1403, 596, 3068, 1022, 7411, 267, 649, 616, 2141, 1930, 585, 707, 10372, 269, 0, 303, 1251, 267, 519, 1034, 2442, 5779, 593, 519, 4541, 267, 4991, 10057, 538, 4430, 540, 476, 8099, 2929, 9748, 1169, 1032, 267, 1818, 621, 513, 3810, 19311, 2344, 585, 6705, 269, 1809, 952, 596, 798, 513, 2370, 20857, 267, 596, 3605, 930, 1659, 995, 6477, 5013, 602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 6364, 538, 13532, 7397, 692, 3383, 547, 5173, 476, 6246, 269, 4817, 3723, 6550, 547, 13532, 7397, 596, 991, 547, 9062, 476, 6246, 269, 4817, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 6246, 269, 4817, 3723, 6550, 568, 3160, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 6246, 269, 4817, 3723, 6550, 786, 581, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 7503, 729, 607, 2653, 607, 476, 6246, 269, 4817, 11304, 883, 6550, 24740, 780, 1607, 2376, 729, 513, 5458, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 6246, 269, 4817, 4846, 547, 7273, 538, 7503, 269, 8729, 547, 713, 9819, 596, 4121, 476, 6246, 269, 4817, 11304, 568, 6697, 547, 875, 1082, 6550, 780, 2171, 4951, 596, 711, 1152, 875, 547, 798, 513, 9819, 476, 6246, 269, 4817, 11304, 547, 11973, 6550, 855, 849, 1079, 824, 9273, 910, 547, 2638, 875, 1082, 476, 6246, 269, 4817, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 6246, 269, 4817, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 1776, 3070, 547, 1118, 476, 6246, 269, 4817, 11304, 875, 1082, 6550, 24740, 267, 602, 568, 1210, 476, 6246, 269, 4817, 4846, 679, 11013, 9498, 269, 898, 786, 581, 519, 1655, 4781, 585, 1346, 540, 596, 945, 798, 711, 899, 14291, 593, 707, 1378, 693, 782, 610, 713, 942, 798, 711, 1616, 547, 1118, 7711, 19668, 8649, 870, 18360, 4846, 875, 7273, 24740, 593, 707, 1378, 780, 2171, 4126, 602, 1631, 782, 540, 596, 666, 798, 476, 6246, 269, 4817, 11304, 3160, 547, 875, 1082, 6550, 7503, 910, 593, 707, 1378, 610, 1210, 938, 476, 6246, 269, 4817, 4846, 338, 547, 6550, 9498, 780, 10673, 1406, 7227, 256, 22417, 476, 6246, 269, 4817, 11304, 2527, 547, 6550, 538, 519, 1655, 1259, 585, 596, 780, 2710, 596, 1616, 547, 798, 824, 982, 476, 6246, 269, 4817, 11304, 607, 6550, 9819, 286, 1280, 1383, 267, 585, 476, 276, 13532, 286, 6744, 938, 824, 4930, 256, 1284, 10018, 602, 9273, 585, 824, 2338, 540, 13532, 616, 865, 3274, 607, 585, 476, 6246, 269, 4817, 11304, 3160, 1082, 6550, 780, 2162, 1215, 1454, 568, 476, 6246, 269, 4817, 4846, 538, 6550, 692, 4263, 519, 1439, 267, 649, 616, 2469, 547, 17412, 519, 1888, 540, 713, 2376, 267, 602, 568, 875, 1454, 568, 476, 6246, 269, 4817, 4846, 538, 6550, 2073, 649, 10356, 4267, 547, 519, 1034, 4749, 4280, 2055, 269, 3371, 649, 723, 585, 596, 519, 1034, 1271, 1344, 827, 875, 1454, 568, 476, 6246, 269, 4817, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 6246, 269, 4817, 4846, 547, 7273, 1547, 2913, 779, 1294, 780, 1432, 568, 519, 11304, 547, 11013, 7503, 286, 1677, 1118, 519, 4846, 547, 18470, 7503, 621, 568, 2877, 547, 9062, 476, 273, 2338, 269, 1215, 1281, 476, 6246, 269, 4817, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 898, 568, 1524, 2630, 1384, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 692, 1692, 1281, 519, 1267, 540, 519, 7503, 540, 476, 6246, 269, 4817, 11304, 547, 6550, 286, 634, 4977, 2626, 568, 476, 9834, 269, 8660, 274, 13932, 14983, 271, 18470, 780, 2005, 568, 849, 2009, 547, 5173, 875, 1454, 476, 6246, 269, 4817, 11304, 568, 3160, 547, 6550, 609, 2034, 267, 4443, 4528, 540, 519, 4542, 269, 5620, 513, 1413, 780, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 692, 3383, 713, 942, 267, 476, 6246, 269, 4817, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 1267, 568, 476, 9834, 269, 8660, 274, 13932, 14983, 271, 7273, 780, 1692, 547, 6460, 476, 6246, 269, 4817, 4846, 547, 7273, 538, 606, 4443, 1259, 286, 1411, 666, 849, 946, 519, 476, 6246, 269, 4817, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 782, 9273, 585, 596, 543, 2285, 596, 606, 4977, 2626, 16317, 2971, 18741, 9999, 1496, 11899, 6540, 763, 11304, 267, 610, 11304, 1889, 267, 568, 519, 3490, 1770, 540, 2597, 538, 519, 5450, 878, 1062, 269, 898, 568, 519, 16977, 2597, 540, 513, 13306, 540, 1216, 476, 1015, 17744, 593, 513, 2427, 780, 2971, 623, 2432, 1496, 331, 2125, 6540, 288, 11013, 568, 513, 1770, 540, 2597, 4122, 1031, 538, 519, 2136, 2276, 543, 519, 3703, 1455, 17314, 338, 269, 589, 11013, 568, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 0, 258, 1677, 5173, 26914, 11965, 28595, 692, 300, 3722, 11965, 4542, 28595, 3096, 2901, 513, 19394, 3666, 4542, 610, 513, 2786, 11060, 4542, 780, 300, 3722, 11965, 18135, 697, 6441, 710, 16754, 3493, 21090, 692, 1103, 519, 26914, 11965, 2786, 11060, 1505, 267, 700, 301, 21410, 513, 1007, 10858, 6871, 540, 28595, 538, 1142, 1032, 540, 519, 10697, 781, 1272, 269, 634, 26914, 11965, 20793, 4542, 3096, 519, 10697, 781, 6967, 1272, 2864, 982, 922, 3312, 28595, 1272, 538, 519, 9819, 780, 1103, 26914, 11965, 2786, 1899, 267, 700, 301, 21410, 519, 6871, 585, 513, 1032, 676, 12270, 835, 28595, 1974, 676, 519, 6967, 1272, 540, 519, 10697, 267, 543, 1287, 7311, 713, 2179, 609, 519, 19011, 1645, 15007, 547, 3313, 519, 28595, 2179, 585, 602, 1032, 780, 1103, 519, 1101, 1032, 267, 700, 301, 17337, 519, 4611, 5993, 28595, 2179, 14961, 2066, 1142, 1974, 689, 519, 4098, 540, 519, 6051, 1974, 547, 519, 1439, 540, 519, 1032, 269, 769, 7766, 1296, 267, 700, 301, 17337, 519, 28595, 2179, 14961, 2066, 1142, 1974, 538, 519, 1032, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 780, 300, 3722, 11965, 2786, 1899, 4542, 1384, 3499, 24119, 21090, 815, 476, 630, 322, 739, 910, 19017, 28595, 264, 2608, 630, 272, 1315, 6967, 1272, 994, 8199, 7078, 692, 7312, 2754, 814, 606, 10697, 609, 513, 1942, 540, 8096, 1015, 267, 1822, 267, 606, 6059, 1272, 540, 5722, 1296, 267, 543, 513, 3368, 1032, 19011, 1645, 15007, 269, 5221, 540, 519, 19011, 1645, 15007, 267, 700, 301, 1590, 5173, 519, 2407, 5993, 28595, 585, 519, 1101, 1032, 855, 2594, 1152, 3368, 540, 519, 4611, 28595, 269, 634, 5993, 28595, 585, 519, 1101, 1032, 540, 519, 10697, 781, 1272, 568, 7229, 607, 1384, 3499, 314, 8096, 1015, 267, 1822, 2608, 630, 272, 1315, 476, 278, 264, 23378, 6303, 13090, 815, 8096, 278, 1691, 269, 3066, 454, 273, 454, 7884, 299, 301, 17337, 713, 2179, 14961, 689, 519, 538, 28129, 4266, 547, 519, 1439, 540, 519, 1101, 16642, 1032, 780, 1103, 519, 2034, 1032, 540, 519, 10697, 781, 1272, 267, 519, 6967, 1272, 568, 1631, 476, 277, 269, 276, 1296, 269, 700, 301, 21410, 519, 5993, 28595, 607, 5205, 1384, 319, 314, 630, 15478, 1015, 267, 1822, 910, 8096, 278, 1691, 269, 3066, 264, 2608, 630, 272, 1315, 476, 277, 269, 276, 264, 9948, 815, 8096, 16318, 279, 269, 6872, 26384, 299, 301, 17337, 713, 2179, 14961, 2066, 519, 12964, 5712, 538, 519, 11706, 1032, 799, 2164, 538, 513, 28595, 2179, 540, 8096, 15686, 269, 4962, 538, 1142, 1974, 540, 519, 2034, 1032, 780, 1103, 519, 3791, 1032, 540, 519, 10697, 781, 1272, 267, 519, 6967, 1272, 568, 1631, 476, 276, 269, 276, 1296, 269, 700, 301, 21410, 519, 5993, 28595, 607, 5205, 1384, 319, 314, 630, 15478, 1015, 267, 1822, 910, 8096, 20969, 273, 269, 10436, 264, 2608, 630, 272, 1315, 476, 276, 269, 276, 264, 9948, 815, 8096, 16318, 279, 269, 6872, 26384, 299, 301, 17337, 713, 2179, 14961, 2066, 519, 12964, 5712, 538, 519, 11706, 1032, 799, 2164, 538, 513, 28595, 2179, 540, 8096, 15686, 269, 4962, 538, 1142, 1974, 540, 519, 3791, 1032, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 780, 300, 3722, 11965, 13207, 1456, 18696, 3493, 21090, 692, 763, 4542, 1031, 676, 26914, 11965, 19394, 3666, 568, 519, 1482, 607, 519, 4542, 1031, 538, 519, 2834, 19394, 3666, 4542, 609, 513, 6467, 547, 2786, 1899, 269, 700, 301, 3096, 19394, 3666, 585, 519, 1101, 6712, 540, 519, 10697, 781, 1272, 267, 1287, 17176, 547, 2786, 1899, 609, 6967, 1272, 780, 9616, 692, 2252, 519, 10697, 585, 799, 596, 616, 12719, 28595, 3568, 606, 19011, 1645, 15007, 267, 700, 301, 4188, 338, 519, 28595, 13258, 585, 519, 1101, 3368, 4458, 569, 267, 10116, 569, 267, 610, 10865, 9819, 269, 1280, 811, 1344, 267, 3277, 547, 6726, 725, 543, 589, 591, 1645, 1230, 6761, 269, 0, 258, 8771, 630, 8421, 545, 2020, 1103, 7954, 267, 7301, 610, 2150, 4902, 568, 519, 1533, 540, 28429, 2942, 5168, 1871, 610, 513, 14275, 776, 9266, 24561, 269, 769, 513, 5168, 1922, 23341, 1062, 540, 20790, 531, 7954, 621, 568, 835, 540, 1079, 2022, 4327, 5168, 2418, 267, 2059, 609, 922, 2258, 566, 267, 5168, 16804, 272, 316, 2974, 783, 711, 725, 540, 519, 7301, 616, 476, 271, 630, 18034, 538, 29491, 7954, 543, 2780, 2257, 1070, 744, 630, 514, 18772, 10035, 267, 14956, 336, 1070, 543, 519, 909, 8214, 3090, 1109, 414, 488, 354, 16804, 273, 6540, 5194, 1935, 568, 1031, 585, 1896, 6101, 6436, 630, 1721, 1383, 267, 20932, 2065, 20790, 531, 11810, 264, 1141, 519, 7301, 568, 513, 20790, 531, 3586, 630, 328, 4318, 269, 513, 14275, 776, 24561, 264, 1109, 414, 488, 354, 267, 519, 5168, 1871, 540, 713, 3586, 1373, 2141, 7301, 538, 519, 2631, 1657, 16804, 274, 6012, 275, 6012, 276, 6540, 1012, 769, 8106, 7954, 543, 29491, 7954, 692, 1103, 29491, 7954, 1142, 4756, 18575, 513, 18266, 1871, 799, 666, 581, 2901, 3020, 630, 272, 1070, 610, 7301, 630, 271, 1040, 769, 513, 8106, 20790, 531, 11810, 1142, 20790, 786, 581, 8655, 513, 5168, 1871, 540, 2901, 3020, 610, 7301, 269, 2368, 1949, 540, 8106, 7954, 1331, 6131, 6698, 585, 7301, 630, 271, 610, 2340, 488, 354, 1070, 1866, 3079, 7048, 2390, 12596, 971, 607, 533, 31961, 2485, 361, 335, 543, 2485, 361, 263, 653, 6393, 1103, 1312, 29491, 7954, 543, 18190, 7954, 1949, 267, 3020, 543, 7301, 616, 6587, 609, 2463, 547, 2258, 566, 282, 634, 2258, 566, 540, 7301, 3947, 3020, 267, 543, 519, 2258, 566, 540, 3020, 3947, 7301, 780, 21851, 6234, 1535, 4151, 12276, 6234, 1422, 10864, 1535, 21456, 25152, 7301, 454, 32401, 3020, 692, 763, 2258, 566, 540, 7301, 568, 6697, 547, 519, 5168, 711, 1152, 538, 8106, 7954, 543, 29491, 7954, 267, 855, 849, 538, 1034, 824, 9266, 1949, 267, 607, 6045, 2630, 780, 1103, 1034, 9266, 1949, 267, 2258, 566, 267, 1570, 19585, 543, 7301, 616, 1644, 607, 1384, 12953, 335, 2340, 485, 498, 630, 335, 9890, 2340, 488, 354, 2020, 1607, 568, 519, 4214, 540, 2258, 566, 538, 930, 1949, 267, 314, 277, 316, 971, 607, 20932, 2065, 7954, 267, 543, 666, 581, 8810, 538, 20790, 531, 2301, 328, 1141, 2258, 566, 568, 513, 4909, 24561, 269, 5221, 6032, 568, 2356, 513, 11532, 610, 24936, 558, 267, 513, 12343, 568, 602, 519, 2258, 566, 540, 7301, 630, 12953, 2340, 488, 354, 264, 568, 3020, 780, 763, 27171, 568, 513, 3948, 799, 14122, 519, 7301, 267, 1775, 4318, 269, 26420, 2340, 488, 351, 2340, 488, 354, 269, 4635, 519, 30424, 1657, 267, 519, 1249, 602, 26420, 568, 513, 27171, 949, 581, 6508, 267, 585, 1383, 267, 689, 2340, 488, 351, 2485, 361, 395, 484, 269, 2552, 2784, 2109, 543, 519, 7301, 616, 3006, 711, 13747, 267, 2523, 1813, 547, 5824, 2165, 535, 1023, 636, 3954, 7627, 1312, 269, 2552, 2784, 2109, 1797, 513, 3948, 568, 8810, 547, 581, 7301, 267, 855, 519, 7301, 3294, 568, 513, 20790, 799, 568, 3989, 547, 581, 6587, 547, 519, 5168, 780, 299, 16479, 1949, 949, 610, 949, 711, 2270, 519, 6240, 540, 16411, 630, 514, 5824, 267, 608, 535, 10193, 844, 617 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6187, 5463, 476, 1708, 274, 692, 258, 1215, 547, 22417, 476, 12893, 623, 2432, 547, 918, 326, 286, 1496, 1708, 274, 6540, 1012, 22417, 476, 12893, 623, 2432, 547, 918, 326, 692, 8702, 547, 476, 12893, 6550, 547, 4846, 267, 938, 2376, 827, 519, 476, 12893, 6550, 547, 4846, 7503, 269, 1403, 596, 723, 2097, 1934, 676, 6313, 585, 476, 12893, 6550, 538, 737, 3342, 267, 610, 952, 596, 723, 1336, 721, 6065, 1154, 875, 1082, 4846, 538, 476, 12893, 6550, 267, 596, 616, 1318, 1934, 267, 1932, 780, 2691, 649, 2328, 476, 12893, 6550, 547, 737, 3342, 610, 946, 606, 26922, 2165, 267, 649, 1611, 519, 1770, 3486, 1285, 7546, 16632, 12251, 11013, 282, 585, 476, 12893, 7273, 883, 4846, 538, 3504, 4559, 540, 2527, 267, 5225, 1353, 11489, 519, 2063, 3296, 780, 1012, 22417, 476, 12893, 700, 2125, 547, 918, 294, 692, 339, 568, 711, 2182, 547, 6460, 476, 12893, 7273, 269, 547, 4846, 693, 782, 269, 1411, 666, 798, 519, 7503, 16924, 689, 519, 20303, 543, 519, 3113, 780, 2414, 917, 856, 875, 1082, 13532, 476, 12893, 6550, 616, 267, 9062, 519, 6550, 676, 476, 271, 269, 28526, 30020, 4391, 269, 1411, 666, 17492, 713, 607, 476, 12893, 1535, 476, 271, 269, 28526, 30020, 4391, 269, 4635, 713, 1259, 267, 649, 1205, 476, 7367, 269, 1626, 267, 799, 568, 1018, 476, 12893, 6550, 568, 538, 4846, 780, 2791, 666, 2328, 713, 538, 1114, 2081, 1384, 1892, 476, 12893, 6550, 568, 3160, 547, 476, 7367, 269, 1626, 4846, 454, 1892, 476, 12893, 7273, 269, 568, 6697, 547, 476, 7367, 269, 1626, 13532, 454, 1892, 476, 12893, 18470, 269, 568, 3160, 547, 476, 7367, 269, 1626, 4846, 780, 2005, 1281, 711, 513, 1966, 2436, 596, 946, 4846, 267, 737, 3342, 610, 11304, 269, 898, 3085, 1406, 8373, 952, 596, 946, 7273, 269, 18470, 269, 610, 623, 895, 10322, 1782, 269, 634, 1267, 568, 2141, 519, 1482, 269, 1403, 596, 1616, 547, 5180, 2338, 543, 1810, 1406, 991, 8856, 609, 17447, 267, 596, 666, 7941, 476, 12893, 6550, 269, 5455, 547, 476, 273, 269, 273, 269, 5457, 602, 513, 2582, 11304, 568, 5111, 476, 273, 269, 273, 6550, 269, 1924, 693, 476, 12893, 7273, 269, 1411, 7941, 676, 476, 273, 269, 273, 267, 543, 596, 1205, 476, 7367, 269, 1626, 4846, 269, 1411, 666, 1406, 946, 713, 4480, 609, 1152, 476, 12893, 6550, 269, 1809, 782, 6550, 267, 1519, 1346, 609, 513, 8918, 269, 1306, 596, 666, 1294, 267, 519, 1184, 568, 711, 607, 7294, 607, 596, 1522, 723, 16545, 693, 1101, 780, 1012, 1548, 616, 623, 2432, 2496, 763, 11013, 630, 629, 12934, 7007, 18470, 269, 610, 7273, 4700, 568, 1031, 547, 2268, 519, 2527, 540, 606, 1843, 269, 2201, 513, 3232, 3490, 267, 621, 568, 849, 1031, 547, 2268, 519, 2597, 540, 606, 1843, 269, 1703, 723, 1044, 1114, 2010, 540, 2835, 2429, 1686, 269, 634, 835, 1031, 585, 20604, 538, 519, 2136, 2276, 543, 824, 2477, 568, 519, 3486, 1285, 7546, 16632, 12251, 11013, 780, 763, 28008, 1433, 269, 1656, 7273, 269, 898, 2501, 689, 519, 4936, 2597, 11013, 269, 634, 11013, 4422, 547, 519, 11440, 6482, 1062, 267, 7429, 519, 11304, 267, 799, 12851, 547, 519, 11973, 1062, 269, 634, 946, 540, 6550, 676, 2597, 568, 3044, 538, 519, 2136, 2276, 267, 607, 621, 568, 538, 519, 1964, 540, 519, 11440, 1062, 780, 1012, 1548, 568, 18741, 6945, 2496, 763, 11304, 630, 629, 12934, 2747, 4846, 264, 568, 519, 3490, 1770, 540, 519, 11973, 1062, 585, 2527, 269, 769, 6082, 602, 946, 519, 11973, 1062, 267, 519, 11304, 568, 1031, 538, 1747, 540, 519, 11013, 547, 3313, 519, 2597, 540, 606, 1843, 269, 476, 272, 11304, 11224, 476, 273, 269, 14225, 277, 1285, 7546, 16632, 12251, 6550, 269, 589, 2582, 11304, 568, 3160, 547, 476, 1911, 271, 10101, 269, 898, 568, 519, 1152, 11973, 1062, 1770, 609, 606, 16038, 18772, 269, 1411, 786, 5469, 602, 11304, 568, 849, 2854, 607, 4893, 334, 610, 11304, 780, 298, 559, 9999, 267, 899, 6550, 267, 3277, 547, 606, 1843, 779, 2527, 267, 711, 519, 2597, 269, 13379, 568, 4299, 676, 8904, 267, 1247, 519, 1895, 3788, 519, 1482, 269, 1809, 585, 519, 19160, 540, 16134, 543, 6671, 946, 267, 13532, 543, 6550, 269, 31160, 519, 2597, 780, 1012, 476, 12893, 700, 7034, 568, 26321, 547, 875, 3509, 918, 294, 692, 3086, 1577, 779, 4194, 519, 1966, 540, 875, 1082, 4846, 568, 476, 12893, 7273, 269, 898, 568, 269, 476, 12893, 6550, 11224, 476, 7367, 269, 1626, 4846, 282, 596, 666, 1265, 713, 1267, 538, 938, 5750, 610, 20303, 269, 1411, 666, 849, 3035, 713, 1267, 1210, 835, 540, 519, 2409, 4330, 1934, 780, 2005, 3085, 1406, 2339, 1141, 596, 616, 610, 1018, 1770, 540, 6482, 596, 917, 282, 519, 1184, 3177, 1934, 786, 2327, 596, 1810, 1406, 1118, 1022, 9073, 780, 6524, 25759, 713, 3391, 267, 649, 1590, 1448, 856, 602, 519, 1344, 1934, 568, 585, 519, 1285, 7546, 16632, 12251, 11013, 269, 634, 9273, 649, 1683, 616, 1152, 3448, 547, 519, 1285, 7546, 16632, 12251, 11013, 543, 922, 6697, 538, 13532, 780, 2252, 596, 2461, 5461, 538, 891, 824, 2835, 267, 1934, 779, 513, 2656, 3391, 543, 24072, 1384, 1892, 476, 272, 512, 5797, 11013, 11224, 476, 271, 269, 32699, 273, 4846, 454, 1892, 476, 272, 11013, 2490, 11224, 476, 271, 269, 4097, 280, 280, 4846, 454, 1892, 476, 272, 11973, 11013, 11224, 476, 271, 269, 276, 4846, 454, 1892, 476, 272, 4123, 11013, 11224, 476, 271, 269, 275, 4391, 275, 4846, 454, 1892, 476, 272, 5507, 11013, 11224, 476, 271, 269, 5379, 277, 277, 13532, 780, 4322, 4559, 941, 5116, 1934, 547, 581, 6192, 269, 1717, 267, 596, 616, 12691, 547, 946, 873, 1317, 18318, 543, 23965, 1100, 3476, 946, 873, 547, 2268, 269, 769, 3592, 782, 2665, 267, 519, 1285, 7546, 16632, 12251, 11013, 568, 946, 780, 1012, 16754, 547, 22417, 476, 12893, 623, 2432, 547, 18741, 6945, 692, 2414, 6460, 476, 12893, 7273, 547, 4846, 267, 9062, 519, 2527, 538, 6550, 676, 476, 271, 269, 28526, 30020, 4391, 780, 763, 476, 12893, 7273, 538, 4846, 4542, 568, 1496, 11899, 316, 815, 1496, 12893, 316, 2608, 476, 271, 269, 28526, 30020, 4391, 269, 4935, 267, 585, 476, 12893, 6550, 538, 737, 3342, 267, 649, 1205, 1384, 12893, 7273, 547, 4846, 815, 476, 7367, 269, 1626, 4846, 692, 12893, 6550, 547, 13532, 568, 476, 7367, 269, 1626, 4846, 692, 1012, 13565, 590, 792, 2583, 692, 8099, 7273, 547, 4846, 692, 9873, 7273, 547, 4846, 692, 21497, 7273, 547, 4846, 692, 1220, 7273, 547, 4846, 692, 9610, 7273, 547, 4846, 692, 1708, 7273, 547, 4846, 692, 12893, 7273, 547, 6550, 692, 13647, 7273, 547, 4846, 692, 9827, 3367, 281, 1109, 1692, 547, 22417, 476, 12208, 623, 2432, 547, 918, 326, 286, 0, 299, 692, 763, 3259, 540, 519, 1899, 689, 1448, 476, 273, 547, 1448, 476, 280, 267, 737, 568, 737, 815, 678, 16009, 263, 347, 328, 2020, 763, 3259, 540, 519, 1899, 689, 1448, 476, 273, 547, 1448, 476, 1015, 267, 700, 568, 692, 763, 10974, 540, 1448, 476, 280, 616, 3143, 815, 630, 330, 266, 299, 264, 2608, 5430, 513, 1547, 1341, 715, 280, 692, 292, 280, 815, 630, 330, 266, 299, 264, 2608, 5430, 630, 274, 320, 266, 329, 1341, 661, 273, 966, 280, 815, 630, 330, 266, 299, 264, 2608, 5430, 962, 320, 266, 329, 1341, 966, 273, 692, 763, 10974, 540, 1448, 476, 1015, 616, 692, 301, 1015, 815, 700, 2608, 5430, 513, 320, 266, 329, 1341, 715, 273, 661, 1015, 815, 700, 2608, 5430, 630, 274, 320, 266, 329, 1341, 661, 273, 966, 1015, 815, 700, 2608, 5430, 586, 320, 266, 329, 1341, 966, 273, 692, 763, 3259, 540, 1899, 512, 266, 345, 543, 922, 4287, 5430, 1149, 616, 9745, 692, 301, 280, 9539, 275, 661, 280, 7232, 275, 966, 280, 13305, 275, 692, 763, 3845, 689, 1448, 476, 280, 547, 1448, 476, 279, 267, 512, 267, 543, 519, 10974, 540, 1448, 476, 279, 476, 275, 270, 692, 732, 678, 692, 301, 279, 815, 512, 2608, 5430, 693, 266, 345, 1341, 715, 280, 661, 279, 815, 512, 265, 6523, 29967, 339, 266, 345, 1341, 661, 280, 966, 279, 815, 512, 2608, 5430, 586, 339, 266, 273, 1341, 966, 280, 692, 763, 3259, 540, 1899, 579, 689, 1448, 476, 1015, 547, 1448, 476, 279, 543, 519, 4287, 5430, 1149, 540, 476, 1015, 317, 579, 543, 544, 616, 579, 579, 815, 513, 14370, 301, 279, 910, 715, 1015, 264, 273, 1341, 630, 292, 326, 910, 661, 1015, 264, 273, 1341, 630, 309, 279, 910, 966, 1015, 264, 273, 692, 15675, 532, 519, 3259, 540, 1899, 544, 547, 581, 9322, 267, 519, 10974, 540, 1448, 476, 1321, 616, 692, 301, 1321, 815, 476, 272, 2608, 5430, 17333, 329, 1341, 715, 279, 661, 1321, 815, 476, 272, 2608, 5430, 533, 329, 1341, 661, 279, 966, 1321, 815, 476, 272, 2608, 5430, 586, 317, 1341, 966, 279, 634, 10974, 540, 1448, 476, 1556, 799, 6013, 835, 1770, 2047, 1657, 1448, 476, 279, 616, 692, 763, 3259, 540, 1899, 7117, 689, 1448, 269, 476, 1556, 547, 1448, 476, 1321, 543, 519, 4287, 5430, 1149, 540, 7117, 616, 7117, 815, 966, 18217, 1321, 910, 715, 333, 264, 273, 1341, 630, 14976, 273, 910, 2037, 264, 273, 1341, 630, 309, 1321, 910, 642, 333, 264, 273, 692, 763, 5086, 476, 276, 1063, 1899, 562, 543, 1899, 7117, 568, 561, 273, 2000, 273, 268, 336, 273, 476, 279, 815, 1035, 657, 8987, 476, 273, 2608, 1775, 2608, 7117, 25589, 763, 3259, 540, 586, 267, 1448, 476, 279, 547, 1448, 476, 1691, 568, 586, 815, 476, 272, 2608, 16009, 22829, 2020, 763, 1876, 540, 521, 1149, 3947, 519, 3259, 540, 519, 1899, 533, 267, 689, 1448, 476, 1556, 547, 1448, 476, 1691, 692, 763, 10974, 540, 1448, 476, 1691, 616, 692, 763, 4287, 5430, 1149, 540, 1899, 586, 616, 5430, 32318, 25883, 763, 1907, 3068, 10047, 5086, 586, 799, 568, 519, 5086, 1063, 519, 1990, 543, 586, 568, 586, 815, 1035, 657, 263, 5430, 513, 5430, 513, 269, 1341, 5430, 645, 5430, 645, 269, 1341, 5430, 586, 5430, 476, 278, 269, 3738, 0, 258, 5565, 1448, 3043, 15956, 616, 476, 272, 7825, 6306, 593, 513, 3109, 1957, 269, 1358, 616, 9763, 676, 3750, 540, 20194, 8006, 476, 274, 7825, 269, 27051, 267, 1018, 568, 519, 5021, 3845, 693, 799, 891, 546, 1080, 666, 581, 17251, 676, 519, 3750, 286, 1496, 12648, 5951, 548, 331, 978, 628, 540, 1769, 815, 4335, 333, 332, 6540, 288, 692, 277, 544, 692, 289, 692, 274, 544, 692, 290, 692, 276, 544, 692, 291, 692, 272, 692, 21581, 8827, 454, 17806, 8827, 454, 19723, 1881, 676, 20226, 692, 1012, 18529, 15184, 24210, 323, 284, 272, 269, 2420, 16575, 320, 2340, 18568, 323, 284, 272, 9943, 1015, 6629, 274, 9943, 274, 9943, 1015, 6629, 4029, 269, 2420, 9943, 4335, 9943, 1015, 6629, 280, 815, 476, 275, 269, 11011, 815, 476, 276, 332, 16317, 2008, 24993, 593, 281, 2641, 270, 5881, 270, 1708, 274, 692, 2162, 11310, 6744, 692, 1892, 7726, 476, 272, 910, 8564, 2290, 692, 1012, 1280, 519, 3510, 540, 519, 3105, 2243, 267, 1265, 519, 5021, 3845, 693, 799, 519, 3750, 1131, 581, 2111, 547, 8207, 519, 1079, 2212, 7547, 540, 513, 1286, 799, 616, 693, 513, 3845, 540, 476, 272, 269, 276, 332, 780, 288, 5416, 264, 476, 6110, 271, 332, 454, 289, 6357, 264, 476, 6344, 271, 333, 332, 454, 290, 6262, 264, 476, 7785, 332, 454, 291, 5560, 264, 476, 1839, 332, 454, 1892, 7726, 476, 273, 910, 8564, 2290, 692, 1012, 1403, 519, 6571, 3970, 540, 519, 3750, 568, 476, 272, 1295, 543, 693, 513, 3845, 1535, 5998, 689, 519, 3750, 267, 17408, 7606, 6763, 609, 513, 14694, 9668, 540, 476, 274, 544, 267, 1287, 5173, 1535, 585, 799, 519, 1079, 1268, 666, 581, 17251, 676, 519, 8405, 539, 3750, 692, 288, 1015, 5998, 454, 289, 1428, 5998, 454, 290, 736, 5998, 454, 291, 1789, 5998, 454, 1892, 7726, 476, 274, 910, 8564, 2290, 692, 1012, 1403, 519, 6571, 3970, 540, 519, 3750, 568, 476, 272, 1295, 543, 693, 513, 3845, 1535, 5998, 689, 519, 3750, 267, 1079, 1268, 267, 6763, 609, 513, 14694, 9668, 540, 476, 274, 544, 267, 1287, 5173, 530, 585, 799, 519, 1079, 1268, 666, 581, 1175, 17251, 676, 519, 8405, 539, 3750, 692, 288 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1118, 621, 16173, 538, 269, 8729, 620, 582, 2433, 994, 291, 1511, 692, 11847, 569, 692, 4391, 3683, 1703, 692, 1607, 568, 513, 14951, 12617, 585, 803, 1934, 2507, 6343, 7772, 8627, 2439, 3674, 713, 513, 726, 1195, 6025, 944, 264, 1031, 538, 556, 327, 1301, 517, 1436, 540, 513, 5152, 610, 4062, 2496, 12552, 780, 289, 1652, 780, 11847, 569, 692, 4343, 521, 830, 517, 692, 10472, 568, 1007, 543, 3078, 1547, 8729, 795, 1069, 12578, 692, 11847, 569, 692, 4375, 5191, 692, 342, 578, 713, 568, 1390, 269, 5994, 519, 2186, 540, 22334, 1775, 993, 8066, 269, 8729, 269, 594, 5660, 621, 692, 11847, 569, 692, 2412, 27950, 692, 12552, 585, 713, 267, 922, 9735, 269, 8307, 3364, 594, 1810, 1406, 1174, 568, 1946, 568, 589, 610, 589, 278, 519, 6281, 8789, 540, 667, 5634, 269, 4208, 3884, 1406, 621, 2549, 278, 2496, 11847, 569, 692, 6078, 25414, 692, 31549, 4896, 4280, 968, 1692, 798, 596, 917, 950, 547, 1404, 513, 6281, 8789, 16147, 286, 18833, 602, 667, 278, 568, 519, 6281, 8789, 538, 519, 1883, 540, 595, 1281, 711, 2995, 803, 1018, 621, 568, 827, 519, 5152, 602, 1131, 2014, 803, 547, 1404, 513, 667, 278, 16147, 780, 11847, 569, 692, 5655, 808, 294, 692, 2005, 779, 972, 2507, 3494, 803, 267, 621, 779, 782, 972, 780, 11847, 569, 692, 6246, 623, 330, 617, 10937, 692, 288, 1007, 635, 518, 2336, 9617, 547, 2161, 7064, 547, 596, 585, 713, 3992, 269, 594, 729, 1210, 667, 332, 547, 16056, 547, 717, 538, 595, 1883, 543, 2760, 1589, 547, 6318, 667, 16147, 779, 3791, 630, 293, 258, 264, 547, 1205, 20336, 1690, 799, 568, 519, 1483, 8789, 540, 717, 538, 717, 1883, 563, 3383, 7064, 513, 2603, 585, 8774, 532, 1769, 593, 713, 563, 8802, 1841, 692, 11847, 569, 692, 4510, 24883, 692, 12552, 513, 2603, 808, 1069, 12578, 269, 634, 7778, 729, 2312, 543, 2653, 547, 1174, 269, 16393, 596, 2491, 827, 6905, 2531, 514, 1218, 267, 568, 602, 519, 8789, 540, 519, 6281, 8789, 286, 1215, 666, 649, 946, 621, 888, 12552, 538, 4434, 585, 519, 2626, 267, 596, 1832, 938, 8186, 2786, 547, 519, 1448, 267, 7064, 1586, 7498, 10111, 32221, 454, 299, 9874, 3131, 14243, 692, 11847, 569, 692, 3393, 21098, 6945, 1350, 553, 26489, 692, 296, 5660, 707, 3638, 5816, 269, 1390, 1344, 269, 594, 4126, 596, 5305, 1866, 269, 594, 786, 3136, 2542, 692, 11847, 569, 692, 5379, 6341, 692, 296, 3357, 2066, 513, 19468, 956, 5152, 602, 1031, 513, 2101, 538, 519, 13797, 2990, 543, 4769, 1406, 917, 1141, 602, 1131, 723, 2097, 689, 269, 594, 3619, 690, 1194, 968, 2224, 513, 2101, 16147, 538, 476, 273, 526, 4110, 892, 543, 3357, 547, 707, 7778, 269, 594, 1589, 713, 5769, 3364, 543, 3406, 9817, 616, 2731, 27613, 6952, 593, 2439, 296, 1185, 1224, 2899, 827, 6281, 2531, 514, 1218, 865, 594, 1185, 606, 2856, 540, 1018, 789, 616, 267, 855, 1185, 16618, 827, 873, 269, 2659, 7778, 3576, 803, 782, 519, 1259, 269, 4279, 2816, 8206, 8729, 513, 2603, 8206, 594, 899, 707, 3450, 2511, 543, 1544, 547, 1224, 811, 540, 707, 8631, 780, 11847, 569, 692, 5325, 631, 8948, 328, 1513, 692, 296, 11432, 1229, 11488, 713, 533, 532, 3724, 5140, 4183, 692, 11847, 569, 692, 4366, 19375, 9197, 583, 7815, 692, 1692, 1281, 713, 3514, 883, 968, 12648, 634, 589, 21541, 5608, 609, 621, 779, 667, 278, 258, 1556, 16147, 267, 799, 4667, 547, 8207, 547, 717, 278, 286, 6733, 338, 899, 513, 6281, 8789, 267, 855, 519, 23260, 568, 1948, 1556, 269, 7316, 1281, 519, 717, 258, 2097, 689, 2496, 11847, 569, 692, 5392, 5985, 26099, 7816, 1750, 3122, 7615, 692, 15916, 267, 1775, 1589, 602, 1775, 4718, 596, 10272, 1250, 3135, 3976, 1775, 3357, 547, 968, 8873, 519, 3870, 6100, 296, 993, 12394, 547, 538, 4466, 2152, 547, 2087, 1250, 1357, 3135, 256, 296, 7058, 922, 7850, 547, 946, 930, 540, 707, 2093, 256, 2439, 11847, 569, 692, 2004, 26391, 623, 1231, 692, 296, 723, 513, 2243, 267, 952, 594, 723, 513, 5152, 602, 7363, 4422, 899, 713, 281, 594, 267, 594, 267, 966, 278, 267, 966, 278, 2715, 293, 267, 674, 267, 595, 278, 267, 595, 278, 8679, 4517, 594, 1689, 621, 547, 594, 267, 19274, 267, 25831, 267, 17886, 267, 13797, 267, 966, 278, 2715, 293, 267, 667, 332, 267, 2549, 267, 667, 278, 267, 717, 332, 267, 595, 278, 8679, 25898, 519, 11683, 17886, 581, 513, 18520, 667, 11395, 286, 594, 6557, 3168, 693, 513, 5750, 267, 543, 621, 5654, 899, 519, 966, 270, 12858, 855, 538, 519, 1883, 540, 645, 321, 286, 888, 4517, 952, 865, 267, 1946, 1281, 621, 3280, 1434, 547, 723, 621, 11683, 888, 3963, 798, 649, 1689, 891, 1019, 520, 4577, 22334, 547, 18520, 18067, 1218, 888, 12552, 14298, 1454, 281, 2020, 11847, 569, 692, 7906, 8776, 3057, 638, 529, 692, 23896, 269, 427, 375, 379, 519, 5152, 968, 1432, 519, 2622, 2115, 1631, 892, 538, 519, 14235, 269, 968, 299, 867, 649, 1810, 1406, 991, 1776, 7823, 892, 538, 476, 277, 5634, 476, 278, 630, 600, 278, 538, 519, 1883, 540, 524, 264, 543, 4422, 547, 575, 332, 630, 693, 519, 10239, 2262, 540, 968, 11004, 616, 10239, 892, 799, 594, 3494, 568, 1631, 519, 1883, 540, 674, 267, 543, 538, 1249, 5543, 1407, 547, 674, 269, 2052, 596, 2285, 803, 707, 1491, 593, 1018, 338, 8345, 972, 780, 11847, 569, 692, 7367, 5775, 2917, 654, 692, 296, 723, 1044, 1210, 6281, 8789, 22334, 538, 1250, 5152, 1603, 543, 4769, 1406, 1256, 917, 621, 269, 594, 1223, 2995, 789, 32131, 1434, 1498, 269, 2394, 917, 594, 1185, 2016, 2370, 2219, 607, 547, 1946, 269, 1589, 1250, 2247, 814, 1175, 1044, 27762, 1586, 269, 713, 4667, 547, 581, 513, 1455, 6249, 950, 1565, 2575, 3069, 780, 11847, 569, 692, 7871, 20917, 692, 15124, 2022, 855, 594, 993, 11821, 540, 835, 3364, 269, 634, 21022, 16147, 568, 2141, 23304, 12023, 1174, 2406, 1317, 621, 4992, 1167, 867, 656, 269, 4208, 666, 1406, 649, 1175, 1118, 519, 21022, 16147, 513, 2101, 610, 8789, 476, 278, 16147, 286, 4340, 547, 707, 2022, 519, 8789, 16147, 540, 25831, 568, 2141, 2469, 547, 581, 519, 1482, 18749, 4110, 4063, 540, 519, 4336, 630, 323, 574, 31944, 1040, 4208, 3884, 1406, 621, 1175, 6026, 1287, 547, 2141, 1404, 519, 21022, 16147, 607, 2101, 610, 8789, 476, 278, 2094, 621, 568, 519, 8789, 540, 519, 25831, 16147, 2496, 7312, 1702, 543, 3896, 616, 606, 5863, 948, 256, 594, 993, 865, 19914, 594, 1336, 621, 256, 8729, 2439, 11847, 569, 692, 7918, 667, 269, 25306, 692, 16031, 269, 717, 3419, 7714, 2676, 2791, 6045, 519, 6281, 8789, 865, 1134, 2394, 594, 6956, 538, 835, 9361, 15660, 454, 12648, 2575, 3069, 543, 621, 666, 581, 7168, 4101, 693, 2053, 269, 594, 3893, 519, 1523, 1369, 3764, 540, 2542, 621, 269, 594, 917, 602, 898, 12582, 1406, 1491, 585, 2479, 547, 1451, 621, 269, 540, 1576, 621, 5673, 593, 519, 1367, 269, 594, 6557, 19914, 594, 1336, 707, 3135, 269, 594, 786, 581, 1394, 563, 12552, 513, 2929, 269, 667, 269, 25306, 692, 11847, 569, 692, 4649, 966, 1564, 515, 571, 9652, 692, 14188, 596, 14298, 1454, 585, 713, 7778, 269, 594, 993, 4867, 19801, 538, 606, 30551, 9828, 1576, 547, 11886, 513, 10421, 538, 519, 9457, 779, 5358, 538, 8535, 543, 654, 11208, 269, 901, 729, 15760, 674, 2752, 519, 1655, 7778, 594, 4076, 2938, 865, 2484, 543, 2731, 23498, 930, 1919, 909, 585, 803, 780, 296, 1223, 2731, 946, 513, 1434, 20131, 547, 1118, 621, 998, 713, 1362, 256, 772, 21203, 692, 309, 1564, 515, 571, 9652, 692, 11847, 569, 692, 6321, 667, 20632, 692, 306, 597, 267, 596, 616, 26460, 547, 713, 5108, 269, 8627, 594, 798, 5873, 1004, 1404, 713, 855, 1775, 2760, 6785, 602, 922, 713, 6281, 2531, 514, 1218, 596, 1175, 6026, 721, 23511, 1411, 6026, 721, 607, 952, 649, 941, 1318, 538, 519, 1362, 269, 1411, 1118, 782, 707, 7778, 2653, 585, 721, 267, 543, 1775, 2731, 5660, 707, 4674, 27205, 269, 2696, 12196, 596, 27205, 269, 667, 20632, 689, 13280, 692, 11847, 569, 692, 6872, 667, 7056, 7637, 692, 306, 597, 267, 596, 616, 26460, 547, 713, 5108, 269, 8627, 594, 798, 5873, 1004, 1404, 713, 855, 1775, 2760, 6785, 602, 922, 713, 6281, 2531, 514, 1218, 596, 1175, 6026, 721, 23511, 1411, 6026, 721, 607, 952, 649, 941, 1318, 538, 519, 1362, 269, 1411, 1118, 782, 707, 7778, 2653, 585, 721, 267, 543, 1775, 2731, 5660, 707, 4674, 27205, 269, 2696, 12196, 596, 27205, 269, 667, 7056, 7637, 689, 13280, 692, 11847, 569, 692, 6812, 667, 8775, 4200, 692, 17098, 808, 1069, 12578, 267, 594, 723, 1945, 547, 1039, 269, 2913, 779, 2161, 594, 6557, 2324, 538, 717, 321, 5634, 269, 594, 10355, 4766, 4376, 1210, 5857, 1186, 865, 32696, 803, 585, 513, 2034, 593, 602, 269, 1924, 1934, 594, 993, 538, 717, 321, 5634, 267, 3257, 1250, 3364, 267, 543, 540, 1576, 602, 779, 519, 19274, 540, 589, 269, 1924, 594, 4076, 3927, 512, 4577, 1242, 519, 19274, 543, 3388, 568, 12082, 538, 602, 717, 321, 5634, 269, 634, 942, 2501, 585, 513, 669, 11501, 1287, 513, 2490, 19925, 865, 594, 946, 519, 966, 540, 519, 19274, 267, 799, 568, 667, 321, 278, 269, 901, 2306, 519, 1274, 1616, 519, 717, 321, 5634, 547, 8207, 1919, 269, 6423, 586, 320, 267, 7064, 585, 20171, 593, 713, 1888, 780, 11847, 569, 692, 6795, 1546, 4011, 1695, 692, 27345, 5508, 20231, 5990, 25723, 7034, 3951, 2464, 594, 700, 8780, 2894, 3633, 9215, 9474, 27345, 24199, 570, 8008, 2975, 9358, 11965, 654, 3008, 5990, 661, 3008, 296, 12239, 9215, 6167, 29308, 4306, 13263, 269, 8946, 3198, 298, 9358, 918, 2562, 13036, 312, 780, 11847, 569, 692, 2568, 1284, 7719, 597, 692, 18661, 12196, 596, 2439, 11847, 569, 692, 346, 476, 272, 3950, 3724, 7684, 692, 28095, 2022, 1384, 9202, 2022, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 27063, 281, 476, 272, 692, 20132, 19560, 476, 274, 1496, 272, 316, 2073, 2016, 281, 476, 273, 692, 2162, 8058, 16193, 692, 4029, 4239, 476, 1001, 271, 267, 476, 1321, 281, 4649, 454, 272, 454, 298, 11070, 5308, 454, 1729, 4194, 713, 6446, 267, 579, 1590, 991, 519, 9386, 540, 519, 1776, 1899, 1862, 585, 1383, 952, 891, 476, 273, 3515, 616, 13902, 610, 693, 606, 5086, 267, 2161, 476, 1789, 4110, 907, 1287, 1152, 579, 3513, 581, 2111, 547, 1265, 519, 3830, 540, 519, 2034, 1899, 780, 810, 267, 952, 621, 513, 26712, 2243, 267, 707, 20735, 521, 644, 581, 661, 1312, 519, 3948, 1927, 678, 711, 6190, 692, 2252, 579, 899, 519, 2022, 267, 5225, 2015, 918, 11070, 5308, 907, 8729, 692, 10972, 696, 747, 1321, 5206, 912, 17098, 782, 10484, 27745, 596, 5225, 2491, 875, 649, 666, 4194, 519, 2630, 2243, 563, 2252, 1079, 3515, 616, 12969, 532, 693, 1448, 630, 1015, 267, 2767, 264, 543, 3830, 540, 835, 1899, 568, 586, 284, 274, 343, 268, 274, 454, 1432, 568, 519, 3830, 540, 1776, 1899, 563, 12421, 454, 1805, 9850, 281, 7351, 9906, 454, 16274, 281, 476, 1626, 2904, 476, 1001, 271, 454, 15803, 281, 476, 4510, 454, 18662, 338, 281, 667, 31678, 1412, 1724, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 280, 1496, 272, 316, 2073, 2016, 281, 476, 275, 692, 2162, 8058, 16193, 692, 6187, 8734, 476, 1001, 271, 267, 476, 866, 281, 4649, 454, 272, 454, 298, 11070, 5308, 454, 32513, 13124, 15813, 269, 594, 1589, 707, 11282, 9511, 15059, 568, 1732, 982, 631, 29479, 543, 11518, 590, 871, 2006, 781, 11192, 17918, 4569, 269, 901, 2022, 5280, 803, 513, 9522, 269, 11289, 596, 563, 3725, 281, 4569, 281, 3213, 15453, 16387, 5231, 1496, 258, 21529, 316, 476, 6187, 8734, 476, 1001, 271, 267, 476, 866, 281, 4649, 692, 7883, 547, 2985, 30336, 1109, 272, 1741, 1109, 273, 1741, 1109, 274, 1741, 1109, 275, 1109, 5231, 8921, 476, 1109, 314, 476, 10602, 9708, 476, 6540, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 10870, 15453, 16387, 268, 476, 272, 476, 2190, 3057, 476, 1001, 277, 267, 476, 6734, 281, 1428, 454, 273, 3213, 15453, 9511, 476, 271, 476, 6349, 9484, 476, 1001, 272, 267, 476, 1015, 281, 1789, 454, 10870, 15453, 16387, 476, 273, 476, 6734, 9947, 476, 1001, 272, 267, 476, 6021, 281, 2537, 454, 10870, 15453, 16387, 910, 28924, 16086, 476, 271, 476, 1789, 4455, 476, 1001, 271, 267, 476, 1556, 281, 1789, 454, 272, 3213, 15453, 16387, 4063, 476, 271, 476, 2420, 4455, 476, 1001, 271, 267, 476, 1691, 281, 4097, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 303, 9331, 5183, 910, 15382, 11286, 19845, 27073, 5058, 692, 18298, 492, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 11774, 362, 484, 18298, 504, 18298, 379, 18298, 364, 18298, 379, 18298, 363, 18298, 364, 28159, 491, 18298, 499, 18298, 367, 28159, 479, 18298, 509, 18298, 358, 28159, 491, 476, 272, 268, 18298, 484, 18298, 358, 28159, 491, 268, 272, 11774, 362, 484, 18298, 366, 28159, 489, 18298, 504, 18298, 358, 28159, 486, 11774, 362, 357, 28159, 485, 18298, 364, 18298, 353, 28159, 491, 18298, 353, 28159, 486, 18298, 359, 28159, 491, 11774, 362, 359, 28159, 484, 18298, 365, 28159, 479, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 269, 11774, 362, 509, 18298, 378, 18298, 359, 28159, 491, 18298, 359, 18298, 364, 28159, 491, 11774, 362, 484, 18298, 369, 18298, 353, 18298, 365, 28159, 491, 18298, 499, 28159, 479, 11774, 362, 357, 18298, 378, 18298, 503, 28159, 491, 18298, 499, 18298, 367, 28159, 491, 11774, 362, 359, 18298, 363, 18298, 379, 18298, 365, 28159, 491, 18298, 504, 18298, 379, 11774, 362, 483, 18298, 367, 18298, 379, 18298, 359, 28159, 491, 18298, 359, 28159, 489, 18298, 362, 28159, 491, 692, 9349, 5131, 5915, 334, 454, 309, 514, 599, 1109, 6665, 1243, 519, 7404, 2344, 267, 543, 646, 4767, 602, 1109, 1492, 5613, 543, 5388, 1109, 26200, 6854, 538, 513, 8799, 267, 15116, 6073, 269, 1261, 8068, 519, 1808, 4806, 538, 519, 1259, 519, 5613, 616, 11231, 269, 634, 1297, 540, 5613, 538, 1142, 4737, 4679, 676, 3230, 272, 2330, 1109, 520, 513, 942, 780, 8253, 1152, 538, 519, 2344, 267, 855, 649, 666, 849, 7747, 519, 1808, 4806, 610, 5311, 693, 1082, 4025, 563, 7078, 912, 7883, 543, 3643, 707, 25047, 13826, 269, 1703, 596, 666, 1294, 1142, 25047, 616, 9738, 693, 513, 1808, 4463, 269, 4935, 621, 568, 1500, 676, 1739, 513, 1978, 5311, 780, 763, 9696, 666, 581, 1336, 538, 6128, 607, 1134, 269, 16319, 4277, 267, 1318, 2496, 4131, 721, 1413, 693, 519, 1305, 540, 519, 1297, 609, 1978, 3270, 780, 276, 267, 476, 279, 267, 476, 1556, 267, 476, 1691, 267, 476, 1704, 267, 476, 736, 1862, 2507, 692, 10376, 2165, 538, 519, 1657, 1305, 540, 2338, 568, 2799, 676, 476, 274, 269, 1924, 519, 2016, 1109, 3553, 540, 2338, 616, 11179, 2799, 676, 476, 274, 780, 4322, 2338, 4866, 547, 513, 7121, 1572, 968, 306, 3225, 1878, 9731, 288, 1483, 29705, 4240, 5311, 568, 513, 1599, 3989, 593, 519, 1305, 540, 2067, 2338, 543, 2921, 1483, 2418, 563, 10376, 3693, 538, 519, 5311, 568, 1572, 513, 2165, 540, 519, 5311, 269, 634, 3693, 538, 519, 1101, 2990, 568, 1572, 519, 1101, 2165, 540, 519, 5311, 269, 634, 3693, 538, 519, 2034, 2990, 568, 1572, 519, 2034, 2165, 540, 519, 5311, 543, 865, 593, 563, 763, 2489, 2165, 540, 519, 5311, 912, 2252, 519, 3230, 333, 317, 339, 2330, 2330, 317, 327, 2330, 2165, 568, 20922, 676, 3230, 320, 5332, 18079, 1287, 3230, 320, 318, 272, 2330, 568, 519, 1101, 2165, 267, 3230, 320, 318, 273, 2330, 568, 519, 2034, 2165, 267, 543, 865, 593, 269, 589, 5311, 666, 581, 2854, 607, 3230, 320, 318, 272, 18079, 3230, 320, 318, 273, 18079, 3230, 320, 318, 274, 18079, 3230, 320, 318, 275, 29634, 4131, 781, 1294, 1896, 1806, 547, 1174, 621, 1732, 563, 7078, 912, 272, 269, 3230, 273, 18079, 3230, 275, 18079, 3230, 277, 18079, 3230, 279, 2330, 1862, 568, 513, 5311, 609, 519, 2489, 2165, 3230, 320, 5332, 815, 476, 273, 333, 21974, 1879, 649, 2322, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 1862, 18079, 649, 1205, 3230, 320, 318, 272, 815, 476, 273, 18079, 3230, 320, 318, 273, 815, 476, 275, 18079, 3230, 320, 318, 274, 815, 476, 277, 18079, 3230, 320, 318, 275, 815, 476, 279, 18079, 2560, 692, 273, 269, 476, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 3267, 568, 513, 5311, 609, 519, 2489, 2165, 3230, 320, 5332, 815, 476, 273, 333, 6567, 476, 272, 21974, 1879, 649, 2322, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 2807, 18079, 649, 1205, 3230, 320, 318, 272, 815, 476, 272, 18079, 3230, 320, 318, 273, 815, 476, 274, 18079, 3230, 320, 318, 274, 815, 476, 276, 18079, 3230, 320, 318, 275, 815, 476, 278, 18079, 2560, 692, 274, 269, 4399, 2765, 346, 272, 2410, 274, 9574, 315, 2765, 346, 272, 2410, 276, 9574, 315, 2765, 346, 272, 2410, 278, 9574, 315, 2765, 346, 272, 2410, 280, 20954, 3267, 568, 513, 5311, 609, 2489, 2165, 4399, 2765, 346, 272, 2410, 273, 333, 266, 272, 23201, 1879, 649, 12990, 3230, 333, 815, 476, 272, 267, 476, 273, 267, 476, 274, 267, 3267, 18079, 649, 1205, 3230, 320, 318, 272, 815, 1422, 2765, 346, 272, 2410, 274, 6525, 267, 3230, 320, 318, 273, 815, 1422, 2765, 346, 272, 2410, 276, 6525, 269, 3230, 320, 318, 274, 815, 1422, 2765, 346, 272, 2410, 278, 6525, 267, 3230, 320, 318, 275, 815, 1422, 2765, 346, 272, 2410, 280, 6525, 27250, 293, 9548, 5311, 912, 2691, 519, 1297, 540, 2609, 538, 513, 5311, 568, 13113, 267, 621, 568, 1634, 607, 513, 13113, 5311, 563, 7078, 912, 272, 269, 3230, 275, 18079, 3230, 278, 18079, 3230, 1015, 18079, 3267, 3230, 2420, 29634, 273, 269, 4399, 2765, 346, 272, 2410, 273, 9574, 315, 2765, 346, 273, 2410, 274, 9574, 315, 2765, 346, 274, 2410, 275, 9574, 315, 2765, 346, 275, 2410, 276, 9574, 1862, 315, 28783, 3189, 22364, 346, 271, 269, 15704, 655, 2410, 271, 1410, 3686, 12101, 2765, 346, 6078, 2410, 2412, 21456, 14813, 9548, 5311, 912, 2252, 519, 1297, 540, 2609, 538, 513, 5311, 568, 12808, 267, 621, 568, 1572, 606, 1109, 8882, 9548, 5311, 563, 7078, 912, 272, 269, 3230, 273, 18079, 3230, 277, 18079, 3230, 1015, 18079, 27250, 273, 269, 4399, 2765, 346, 272, 2410, 1015, 9574, 315, 2765, 346, 272, 2410, 736, 9574, 315, 2765, 346, 272, 2410, 1789, 9574, 315, 2765, 346, 272, 2410, 2412, 9574, 14204, 27270, 912, 15862, 676, 8834, 670, 689, 623, 1460, 629, 599, 0, 22706, 476, 276, 779, 21602, 476, 275, 11498, 2875, 1620, 540, 6824, 4238, 547, 8691, 543, 6498, 540, 1312, 8454, 543, 8918, 8454, 269, 4518, 23131, 689, 7664, 540, 1899, 13602, 799, 1331, 27847, 7403, 547, 16208, 8454, 607, 6498, 543, 7744, 827, 4466, 8454, 540, 5036, 998, 6824, 676, 2898, 780, 292, 675, 6390, 21602, 476, 276, 269, 18224, 532, 782, 3211, 1644, 547, 910, 25876, 6390, 21602, 476, 276, 269, 6096, 616, 17039, 3391, 547, 7598, 552, 675, 6390, 2979, 3446, 476, 276, 267, 25876, 6390, 2979, 6780, 25961, 476, 1001, 26392, 1626, 3446, 476, 276, 267, 25876, 6390, 2979, 9074, 476, 276, 7194, 543, 5506, 267, 6103, 476, 276, 2200, 585, 3384, 3446, 1377, 2770, 4293, 267, 6103, 476, 276, 9074, 476, 272, 267, 7689, 476, 276, 519, 4642, 1587, 3959, 267, 25876, 6390, 2979, 6780, 25961, 476, 1001, 26392, 1626, 3446, 476, 273, 780, 22706, 476, 272, 21602, 476, 275, 281, 9255, 10025, 267, 18948, 267, 18827, 543, 25513, 547, 476, 2412, 269, 21602, 476, 275, 13976, 2390, 21602, 476, 273, 779, 960, 609, 1747, 1871, 1369, 476, 736, 267, 1631, 2519, 593, 519, 1909, 540, 1747, 1871, 538, 519, 1840, 543, 12408, 540, 2338, 547, 476, 2412, 780, 16665, 547, 552, 675, 6390, 2979, 3446, 476, 276, 9074, 476, 272, 3992, 476, 278, 2626, 1883, 267, 21912, 514, 2488, 513, 7347, 4183, 547, 1450, 2043, 609, 1870, 16490, 28780, 547, 5639, 891, 2152, 936, 513, 1857, 28379, 585, 4966, 547, 2626, 269, 901, 28379, 568, 1572, 21912, 514, 6114, 267, 543, 621, 1223, 7654, 581, 519, 19044, 547, 4259, 909, 707, 10639, 607, 606, 4274, 1369, 519, 780, 2080, 596, 786, 1265, 6402, 547, 519, 25876, 6390, 4569, 9046, 30498, 602, 1053, 5249, 693, 1153, 267, 519, 14581, 602, 5205, 602, 7689, 267, 543, 7044, 540, 519, 6780, 1373, 6045, 269, 589, 1906, 3688, 538, 519, 14581, 27678, 949, 4268, 5594, 1813, 547, 519, 1249, 602, 938, 1053, 616, 1210, 5063, 8242, 2326, 269, 634, 2035, 616, 519, 1482, 269, 476, 276, 628, 6103, 4569, 910, 21602, 476, 274, 269, 9977, 5240, 12072, 269, 22227, 11196, 272, 264, 12989, 267, 596, 780, 763, 7689, 12697, 543, 6096, 616, 5258, 883, 3670, 13838, 269, 6103, 476, 276, 14581, 267, 7689, 12697, 267, 543, 6096, 269, 11762, 543, 20505, 630, 9556, 2544, 476, 272, 264, 589, 269, 11638, 2364, 894, 18963, 593, 519, 9255, 10025, 15873, 269, 9208, 281, 476, 276, 12991, 6630, 269, 272, 267, 476, 276, 12991, 6630, 269, 273, 267, 476, 276, 8160, 291, 269, 272, 269, 21602, 476, 272, 11137, 269, 13445, 589, 11137, 269, 7689, 476, 272, 281, 17217, 6405, 569, 543, 3182, 3645, 569, 1210, 1747, 1871, 1620, 780, 2467, 616, 849, 2385, 3377, 24393, 689, 1776, 8664, 1210, 519, 1482, 6437, 602, 949, 948, 2491, 519, 2979, 2326, 2417, 269, 1703, 949, 581, 7044, 610, 7044, 3773, 2663, 547, 891, 2200, 547, 948, 2491, 519, 6780, 4245, 269, 634, 824, 6402, 896, 519, 13838, 666, 948, 596, 2259, 1082, 540, 519, 1919, 596, 4121, 538, 707, 11359, 3446, 1362, 780, 1012, 25876, 6390, 4569, 6103, 476, 272, 6096, 910, 7689, 6096, 780, 292, 675, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 272, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 273, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 274, 282, 25876, 6390, 4569, 6103, 476, 275, 21602, 476, 276, 7689, 476, 275, 780, 292, 675, 6390, 4569, 6103, 476, 276, 21602, 476, 272, 7689, 476, 278, 8382, 6206, 13565, 547, 552 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 300, 2632, 9418, 568, 20803, 513, 595, 20110, 974, 17393, 9539, 324, 580, 525, 6288, 1310, 9410, 13162, 3751, 12789, 563, 298, 550, 5244, 786, 581, 26948, 9410, 13162, 3751, 5244, 1310, 519, 1977, 3540, 2924, 6205, 945, 729, 18272, 3990, 538, 476, 3422, 279, 267, 2687, 547, 513, 6571, 519, 2749, 779, 10324, 12233, 568, 4397, 547, 29343, 13723, 563, 339, 777, 1934, 547, 1294, 824, 7044, 689, 938, 2319, 563, 9802, 528, 4406, 2946, 4471, 7233, 324, 26916, 3751, 779, 968, 4186, 9084, 547, 519, 13287, 540, 606, 552, 6549, 9107, 2486, 602, 568, 1863, 540, 7292, 7130, 1759, 593, 5198, 3034, 21914, 729, 968, 514, 11584, 11365, 538, 30176, 3540, 2924, 543, 519, 7862, 540, 3109, 1004, 543, 538, 28530, 7292, 7130, 538, 519, 2136, 2276, 2223, 1352, 3773, 269, 968, 14367, 960, 814, 1185, 2101, 29854, 585, 519, 20237, 540, 12102, 2924, 711, 1152, 538, 519, 772, 2529, 1421, 855, 849, 538, 4516, 543, 1472, 519, 1158, 3034, 30949, 5646, 322, 650, 528, 7395, 6767, 15352, 534, 340, 267, 945, 4564, 519, 1858, 602, 13315, 519, 6288, 267, 7074, 27292, 814, 513, 1804, 3109, 2551, 563, 2108, 2026, 971, 267, 621, 568, 1898, 547, 22632, 519, 9295, 540, 713, 1390, 812, 547, 938, 2146, 2223, 1767, 15352, 534, 340, 267, 945, 568, 3743, 585, 4763, 2152, 593, 27292, 779, 10324, 12233, 269, 0, 347, 13043, 1475, 769, 519, 2063, 1079, 4374, 267, 649, 19927, 519, 2185, 1034, 2596, 4238, 543, 9981, 1210, 1297, 1899, 1547, 2171, 13736, 1906, 2055, 1759, 593, 873, 267, 1500, 1650, 2042, 538, 8424, 543, 12193, 873, 676, 1210, 1297, 3515, 269, 5015, 267, 649, 3323, 609, 513, 1007, 1770, 2048, 32622, 267, 3515, 543, 7285, 9957, 11406, 3528, 281, 2672, 9366, 534, 15011, 534, 2871, 24473, 454, 347, 23458, 543, 24145, 1155, 1475, 3683, 519, 2250, 1079, 4374, 649, 9916, 519, 30732, 7410, 1500, 676, 721, 269, 1284, 5059, 593, 519, 2934, 540, 30732, 2280, 8888, 543, 875, 30732, 7410, 6655, 1344, 593, 513, 1880, 1641, 547, 519, 3988, 269, 1284, 10630, 593, 519, 1620, 540, 17720, 6906, 630, 14588, 6033, 267, 5304, 543, 3483, 264, 547, 1711, 513, 30732, 2280, 269, 1284, 849, 27416, 938, 8239, 2035, 971, 607, 2694, 540, 4633, 543, 1641, 268, 14620, 6876, 269, 11406, 3528, 281, 2672, 9366, 534, 15011, 534, 2871, 24473, 454, 347, 31714, 1299, 5081, 7724, 1475, 769, 519, 2250, 1079, 4374, 267, 649, 4843, 938, 1620, 540, 519, 2189, 2934, 540, 519, 6149, 2085, 998, 8642, 25696, 269, 1284, 19927, 827, 519, 4496, 2085, 1932, 269, 1284, 14478, 7044, 543, 10630, 593, 873, 547, 917, 827, 6561, 543, 922, 2956, 269, 2171, 849, 5941, 519, 4539, 540, 9561, 938, 1378, 6561, 269, 11406, 3528, 281, 681, 880, 629, 327, 594, 9807, 918, 5255, 9618, 454, 16085, 7220, 1475, 10334, 14727, 13511, 1284, 941, 5189, 547, 513, 1007, 1770, 1031, 585, 7893, 6263, 3615, 1775, 4318, 30562, 2678, 269, 1284, 19927, 875, 547, 5173, 3172, 2305, 540, 18784, 3615, 269, 1284, 13986, 513, 1906, 2042, 547, 1451, 547, 5173, 3172, 2305, 269, 13536, 538, 519, 3018, 649, 7902, 585, 938, 24233, 4879, 1635, 281, 1520, 527, 686, 26981, 592, 11406, 30125, 281, 3683, 519, 2250, 1079, 4374, 267, 649, 1705, 606, 2534, 593, 2978, 3106, 547, 1174, 519, 1585, 3106, 3800, 602, 1058, 581, 4553, 538, 519, 2978, 1547, 1284, 849, 19927, 519, 1101, 5351, 3800, 547, 581, 17298, 538, 2013, 540, 606, 6595, 269, 1284, 8737, 938, 1770, 609, 606, 2534, 13296, 649, 5941, 519, 2956, 540, 6111, 543, 8856, 538, 6482, 563, 3528, 281, 13225, 12320, 753, 327, 4210, 18081, 454, 19064, 6055, 5071, 1475, 901, 3018, 267, 649, 5249, 593, 513, 2458, 720, 593, 3327, 11640, 269, 1284, 21503, 519, 1888, 676, 1210, 930, 13057, 2055, 2016, 547, 721, 269, 1284, 849, 6394, 5961, 689, 2025, 14786, 543, 17476, 269, 1284, 8246, 1152, 835, 268, 2427, 1031, 1957, 547, 581, 538, 19820, 609, 519, 1888, 2048, 21666, 11640, 685, 543, 6249, 2048, 338, 7739, 1464, 9957, 11406, 3528, 281, 24910, 15608, 17754, 454, 300, 24688, 476, 272, 595, 454, 347, 19445, 5071, 1475, 769, 519, 2250, 4374, 267, 649, 4797, 609, 938, 6881, 540, 519, 3105, 1770, 2073, 13708, 2305, 540, 1565, 269, 1284, 849, 21845, 519, 4540, 1587, 543, 21503, 593, 519, 1888, 269, 5015, 267, 649, 24298, 519, 1374, 7291, 585, 938, 1587, 1547, 11406, 3528, 281, 24910, 15608, 13051, 454, 347, 23458, 21733, 9974, 1475, 3943, 281, 5475, 938, 24233, 4879, 540, 519, 1699, 1770, 267, 649, 15428, 519, 21371, 1031, 585, 10503, 938, 3237, 269, 1284, 14478, 7044, 543, 1705, 5578, 20671, 2238, 269, 1284, 10268, 938, 1620, 540, 1585, 21371, 676, 10503, 938, 2828, 269, 1284, 941, 849, 5189, 547, 513, 1007, 8239, 1888, 267, 2048, 3849, 11187, 25334, 612, 633, 9957, 11406, 3528, 281, 2983, 564, 20144, 3233, 807, 454, 295, 785, 328, 281, 2171, 1185, 13736, 513, 6648, 676, 13056, 714, 13259, 24703, 13056, 714, 585, 19446, 4144, 13195, 2773, 269, 1284, 849, 5941, 519, 6648, 538, 6935, 547, 938, 1770, 2048, 3240, 2123, 1158, 1406, 334, 1445, 593, 519, 5191, 540, 4082, 269, 1284, 849, 5941, 519, 1909, 540, 1920, 538, 5935, 938, 3961, 543, 7209, 563, 28049, 281, 7628, 519, 2250, 1079, 4374, 649, 19927, 519, 4082, 540, 519, 8231, 968, 652, 541, 892, 547, 1865, 3540, 4567, 540, 513, 1268, 538, 5053, 269, 1284, 14478, 519, 6881, 538, 799, 513, 1268, 6257, 1010, 1920, 2818, 269, 1284, 849, 19927, 519, 6863, 1644, 547, 2477, 543, 3084, 885, 538, 5053, 563, 3528, 281, 5345, 320, 19759, 327, 342, 8643, 454, 347, 24058, 3203, 1475, 769, 519, 2063, 1079, 4374, 649, 19927, 513, 1007, 1148, 1106, 1572, 2048, 3412, 16054, 1143, 685, 543, 4767, 930, 23877, 540, 519, 1482, 547, 1020, 513, 1732, 1620, 269, 1284, 7902, 585, 513, 24233, 4879, 1759, 593, 21205, 589, 540, 8551, 1775, 4318, 269, 18833, 543, 1620, 269, 13536, 267, 2921, 6667, 689, 4583, 5251, 7376, 779, 960, 267, 649, 2813, 938, 29282, 585, 519, 3803, 5888, 269, 11406, 3528, 2433, 25721, 3233, 341, 2871, 24473, 454, 347, 16498, 543, 2657, 4065, 630, 303, 4047, 10534, 769, 938, 1770, 2048, 325, 5893, 998, 5026, 8730, 649, 5941, 519, 2640, 540, 10649, 543, 13736, 968, 306, 1722, 320, 21601, 2532, 541, 6100, 1284, 849, 5129, 3983, 332, 15586, 543, 3349, 17281, 13292, 269, 11406, 3528, 281, 570, 2313, 7534, 18491, 25659, 454, 25238, 766, 1475, 1284, 1705, 606, 7664, 2534, 1759, 593, 7044, 269, 1284, 6956, 875, 18810, 1858, 2707, 607, 1134, 607, 606, 6667, 547, 1118, 5322, 269, 1284, 14478, 519, 3381, 6029, 13946, 10367, 540, 13225, 12494, 564, 6390, 23572, 621, 1500, 721, 1174, 602, 13946, 10367, 616, 513, 2707, 585, 2984, 543, 5322, 269, 1284, 849, 19927, 875, 8106, 29478, 7960, 609, 942, 543, 1185, 5634, 2242, 609, 1689, 538, 6197, 543, 2324, 3270, 269, 1923, 0, 278, 1428, 31816, 275, 4817, 31256, 568, 606, 1256, 12432, 1297, 269, 898, 568, 7768, 540, 1614, 3982, 6305, 2338, 16611, 1927, 269, 898, 814, 513, 2698, 540, 8938, 5498, 1597, 16975, 563, 28269, 26458, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 912, 2420, 6398, 476, 5325, 280, 273, 6398, 476, 6434, 274, 273, 263, 273, 6398, 476, 273, 6398, 476, 5325, 280, 6398, 476, 5325, 280, 6398, 476, 6434, 274, 6398, 476, 6434, 274, 994, 8450, 2630, 585, 4277, 6310, 5013, 827, 519, 1297, 476, 278, 1428, 31816, 275, 4817, 31256, 689, 519, 7089, 3901, 923, 6538, 563, 301, 1868, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 9315, 1400, 281, 476, 278, 1428, 31816, 275, 4817, 31256, 666, 581, 2854, 607, 18599, 4627, 19939, 5479, 267, 2947, 4627, 29235, 2929, 267, 2185, 4627, 562, 27197, 19317, 8536, 267, 1614, 4627, 562, 27197, 29350, 563, 268, 11660, 10035, 281, 476, 278, 269, 14028, 3583, 275, 4817, 274, 9834, 6398, 476, 6200, 272, 454, 26502, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 19667, 30583, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 289, 1162, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 23030, 281, 476, 6200, 9826, 6200, 9826, 6200, 6200, 18089, 18733, 9826, 9340, 9340, 18089, 18089, 6349, 454, 268, 1261, 343, 1228, 31565, 281, 476, 271, 343, 288, 7597, 289, 276, 3451, 11902, 275, 454, 268, 12476, 268, 3607, 281, 476, 11463, 304, 9262, 274, 311, 294, 454, 306, 638, 4100, 543, 5072, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 268, 476, 278, 1428, 31816, 275, 4817, 31256, 16302, 630, 278, 1428, 31816, 275, 4817, 31256, 273, 264, 568, 476, 24423, 271, 6078, 15836, 6434, 272, 28510, 5952, 278, 3422, 279, 1626, 454, 268, 476, 278, 1428, 31816, 275, 4817, 31256, 7750, 539, 630, 278, 1428, 31816, 275, 4817, 31256, 274, 264, 568, 476, 3607, 277, 25002, 276, 2767, 279, 4097, 4649, 275, 279, 2412, 4817, 274, 28307, 6872, 273, 4200, 274, 5952, 280, 15793, 454, 278, 1428, 31816, 275, 4817, 31256, 568, 513, 454, 704, 2739, 4009, 1297, 269, 4706, 4009, 3597, 529, 476, 279, 3393, 280, 1691, 454, 322, 4209, 3597, 1993, 476, 278, 1428, 31816, 275, 4817, 31256, 568, 476, 8660, 275, 275, 269, 4375, 272, 5780, 280, 18891, 276, 454, 9928, 2297, 543, 16198, 1692, 2462, 568, 476, 278, 1428, 31816, 275, 4817, 31256, 888, 268, 476, 278, 1428, 267, 31816, 267, 275, 4817, 267, 31256, 7643, 568, 3160, 547, 476, 2420, 267, 4037, 273, 1296, 267, 476, 4366, 4374, 267, 476, 272, 1554, 267, 476, 2420, 3108, 267, 476, 274, 3764, 267, 476, 1626, 7643, 563, 2414, 1293, 689, 476, 272, 547, 476, 278, 1428, 267, 31816, 267, 275, 4817, 267, 31256, 1131, 1491, 596, 827, 17288, 19317, 8536, 267, 2947, 4627, 2947, 1296, 2336, 1607, 568, 513, 1360, 11315, 7447, 267, 1759, 593, 513, 6340, 2557, 540, 3368, 513, 2034, 1169, 3791, 1931, 540, 9588, 269, 1403, 596, 3717, 3533, 267, 596, 1223, 4440, 2161, 1022, 14477, 7302, 4923, 1297, 1063, 835, 543, 513, 8536, 538, 1472, 3368, 513, 2034, 269, 15020, 2462, 2338, 15069, 1491, 3476, 547, 2161, 267, 865, 649, 1039, 3368, 513, 2034, 585, 1169, 3063, 1535, 1911, 271, 269, 630, 2171, 798, 711, 1293, 32246, 533, 13415, 267, 19880, 9397, 610, 519, 13766, 540, 3207, 538, 938, 9819, 26695, 268, 589, 13306, 609, 513, 4320, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 12945, 6279, 1131, 581, 1472, 476, 278, 3393, 269, 275, 3952, 7381, 563, 3725, 920, 1049, 13004, 609, 476, 278, 1428, 31816, 275, 4817, 31256, 454, 29791, 547, 713, 2985, 454, 12487, 7876, 281, 1677, 3095, 547, 713, 2985, 267, 1175, 5299, 543, 13594, 519, 3095, 2630, 883, 707, 5816, 267, 1357, 2985, 610, 4757, 563, 17668, 4596, 14701, 281, 1677, 3095, 547, 713, 2985, 538, 513, 8468, 2022, 610, 6085, 4216, 267, 1175, 5299, 543, 13594, 519, 3095, 3009, 2630, 912, 29241, 713, 2985, 454, 257, 10831, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 2668, 7089, 3901, 923, 2593, 269, 476, 1708, 271, 269, 5680, 269, 476, 275, 4989, 476, 1708, 271, 563, 10831, 3901, 923, 269, 630, 1708, 271, 1040, 7089, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 269, 8158, 476, 275, 4989, 476, 1708, 271, 267, 689, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 278, 1428, 31816, 275, 4817, 31256, 13045, 10831, 3901, 923, 269, 476, 1708, 271, 269, 834, 10831, 476, 278, 1428, 31816, 275, 4817, 31256, 910, 12700, 827, 519, 8870, 2668, 4179, 2517, 15893, 3901, 923, 2593, 14672, 270, 278, 1428, 31816, 275, 4817, 31256, 13045, 763, 1344, 649, 723, 593, 3758, 585, 476, 278, 1428, 31816, 275, 4817, 31256, 2882, 6310, 1239, 543, 10230, 7194, 7229, 1210, 3044, 6620, 543, 2409, 269, 1284, 616, 4946, 811, 782, 519, 942, 269, 1403, 972, 616, 1022, 2934, 596, 1131, 899, 547, 1294, 267, 5225, 3346, 721, 269, 6176, 3177, 585, 3872, 946, 267, 7214, 7279, 543, 1187, 2336, 21292, 281, 6555, 30583, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 2979, 267, 11790, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 6437, 267, 1153, 267, 2852, 267, 11400, 267, 6280, 267, 11788, 26458, 540, 476, 278, 1428, 31816, 275, 4817, 31256, 267, 13241, 267, 2257, 267, 2029, 267, 4702, 267, 6323, 267, 9297, 267, 9498, 267, 5722, 4627, 19939, 5479 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 609, 519, 824, 1915, 12264, 2413, 2070, 540, 15683, 269, 2060, 607, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 2451, 519, 4055, 269, 968, 14549, 640, 3294, 2223, 2687, 547, 23006, 267, 968, 529, 513, 15683, 1848, 23006, 23216, 609, 519, 2413, 1098, 16058, 1235, 602, 649, 616, 3768, 793, 1881, 538, 810, 30138, 607, 649, 616, 5462, 676, 2470, 267, 676, 938, 20032, 269, 769, 1010, 17976, 593, 15979, 630, 10082, 280, 1070, 23006, 1767, 281, 11096, 9372, 543, 2802, 545, 626, 1955, 28609, 23006, 729, 9565, 538, 1010, 11984, 1063, 3902, 543, 15683, 269, 5369, 9332, 28748, 1058, 2061, 11980, 267, 711, 21559, 621, 910, 8176, 19811, 267, 14265, 343, 630, 1001, 279, 1040, 23006, 779, 1034, 4583, 19862, 540, 15683, 568, 602, 1480, 15683, 568, 513, 4567, 799, 4025, 519, 1272, 540, 1480, 7919, 1657, 782, 269, 32068, 2802, 545, 626, 3081, 552, 30984, 814, 1831, 1412, 338, 659, 1537, 1242, 262, 910, 8176, 19811, 267, 14265, 343, 630, 1001, 279, 1040, 10886, 267, 19539, 267, 15421, 267, 3092, 269, 607, 1797, 547, 606, 1439, 269, 667, 793, 640, 607, 513, 5837, 1523, 12462, 684, 1392, 531, 15683, 5608, 2687, 547, 594, 269, 23006, 264, 1915, 3278, 519, 1367, 607, 513, 1268, 281, 519, 15683, 540, 513, 1268, 568, 5462, 711, 676, 1010, 5169, 267, 5763, 267, 2069, 610, 1514, 4567, 267, 855, 676, 1010, 7915, 5191, 607, 606, 1367, 1268, 543, 12504, 269, 898, 4667, 1256, 16970, 518, 952, 513, 1268, 814, 3893, 782, 891, 968, 326, 22284, 892, 689, 2470, 543, 568, 9117, 3983, 267, 4636, 267, 25796, 269, 1955, 28609, 23006, 568, 1419, 2808, 547, 581, 519, 2707, 540, 519, 4207, 2856, 540, 1480, 15683, 267, 855, 1010, 17748, 540, 1480, 15683, 543, 922, 6935, 547, 1480, 1871, 543, 547, 519, 10421, 547, 2463, 1866, 723, 711, 1044, 4922, 6956, 269, 4658, 779, 3527, 1058, 4061, 581, 5340, 2687, 547, 519, 11807, 8471, 4031, 540, 13919, 269, 1546, 4003, 1058, 711, 581, 2808, 1256, 950, 1373, 4294, 585, 4636, 4777, 619, 269, 834, 2420, 4340, 547, 918, 826, 18255, 267, 23006, 7551, 7947, 338, 519, 22632, 12454, 5837, 621, 344, 540, 1312, 519, 28665, 543, 519, 1368, 843, 338, 538, 22733, 10601, 5125, 269, 2537, 13177, 269, 968, 14549, 640, 3294, 2223, 2687, 547, 23006, 267, 968, 529, 513, 15683, 1848, 23006, 23216, 609, 519, 2413, 1098, 16058, 1235, 602, 649, 616, 3768, 793, 1881, 538, 810, 30138, 607, 649, 616, 5462, 676, 2470, 267, 676, 938, 20032, 269, 1325, 553, 267, 1100, 269, 23006, 1014, 7881, 616, 632, 2632, 1670, 267, 2847, 6295, 7357, 1472, 10279, 2864, 982, 4664, 610, 1439, 3853, 269, 5472, 3527, 616, 5340, 538, 13076, 609, 930, 5817, 12366, 610, 6240, 267, 799, 616, 27723, 1114, 689, 1142, 824, 282, 621, 568, 2687, 547, 713, 602, 519, 5837, 4502, 540, 1022, 2962, 568, 24565, 269, 2334, 2470, 568, 10257, 543, 7787, 267, 543, 865, 547, 581, 1863, 568, 547, 957, 585, 4128, 543, 689, 2601, 269, 3571, 2856, 540, 519, 5837, 568, 1360, 6986, 543, 585, 1864, 9117, 585, 519, 19160, 540, 10279, 814, 4986, 547, 798, 609, 6530, 267, 1256, 968, 333, 823, 892, 6530, 899, 6568, 267, 1577, 4805, 4376, 5778, 6776, 267, 610, 519, 30254, 540, 2744, 610, 5413, 269, 634, 2219, 568, 602, 1152, 1863, 267, 10257, 543, 7787, 7919, 1131, 581, 2111, 547, 957, 17033, 585, 519, 19160, 540, 10279, 269, 23006, 13187, 602, 9117, 609, 8103, 6770, 538, 15683, 585, 1480, 7919, 630, 275, 281, 24496, 1040, 23006, 593, 5274, 667, 793, 640, 3091, 519, 2560, 634, 2035, 968, 16451, 892, 543, 968, 516, 32208, 543, 7787, 892, 616, 2352, 267, 543, 1620, 23006, 779, 17748, 540, 968, 16451, 267, 10257, 543, 7787, 7919, 892, 568, 2352, 1932, 269, 1306, 513, 1686, 540, 938, 1459, 6377, 1523, 540, 15683, 267, 519, 2062, 4707, 568, 693, 1655, 513, 1175, 27940, 1650, 269, 23006, 779, 26874, 7869, 1547, 476, 273, 269, 23006, 1419, 13000, 519, 15683, 540, 7606, 607, 513, 2249, 540, 20519, 2864, 982, 4376, 7606, 723, 7488, 540, 20519, 269, 2904, 476, 1001, 273, 3738, 15683, 543, 2463, 623, 4815, 546, 7578, 21001, 526, 7637, 267, 11292, 15683, 2093, 256, 3245, 519, 21654, 945, 12038, 519, 1034, 5693, 827, 1480, 15683, 568, 5043, 958, 1644, 547, 1482, 256, 10163, 540, 23006, 11313, 521, 3527, 1058, 4061, 581, 5340, 2687, 547, 23006, 5837, 4502, 568, 538, 269, 6153, 607, 23006, 4991, 267, 543, 952, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 2638, 14174, 17988, 269, 1261, 6585, 602, 519, 4909, 6240, 3297, 5837, 11645, 540, 1480, 7919, 630, 5827, 540, 938, 1862, 23006, 972, 2115, 547, 581, 513, 3017, 1063, 10279, 543, 31007, 5079, 1004, 723, 585, 2126, 693, 519, 1439, 1272, 1862, 6925, 910, 24380, 2917, 808, 8055, 267, 590, 1584, 23364, 630, 476, 1001, 279, 3738, 602, 1058, 22035, 880, 547, 5963, 9784, 922, 20650, 10910, 25352, 269, 2986, 938, 8723, 2729, 602, 1058, 22035, 880, 5931, 540, 519, 2962, 610, 957, 547, 581, 5293, 1931, 256, 11930, 585, 4636, 4777, 619, 814, 3893, 782, 891, 968, 13344, 9232, 689, 2470, 543, 3976, 1862, 11202, 1811, 540, 6057, 585, 519, 15752, 649, 957, 593, 513, 2582, 3184, 540, 513, 2582, 1018, 568, 15683, 2687, 547, 737, 656, 540, 2582, 1862, 4989, 476, 2420, 267, 476, 15094, 275, 538, 918, 7238, 333, 12127, 6199, 267, 2282, 519, 338, 21750, 13272, 540, 519, 2165, 1480, 15683, 941, 13994, 4327, 2506, 28609, 269, 667, 7578, 21001, 526, 7637, 267, 11292, 15683, 547, 2093, 543, 547, 7919, 267, 24402, 630, 15426, 2334, 723, 547, 581, 513, 7787, 8665, 1797, 593, 23006, 1412, 338, 1034, 5432, 5683, 12591, 267, 543, 1862, 589, 3364, 267, 1510, 2965, 10747, 1018, 621, 1797, 4010, 1063, 10279, 543, 907, 2201, 2463, 543, 15683, 540, 19443, 2669, 910, 1744, 27553, 623, 709, 4206, 2393, 267, 5839, 14211, 1412, 338, 476, 1001, 277, 1862, 2060, 519, 7826, 4659, 540, 589, 582, 792, 10394, 1715, 10215, 630, 570, 5746, 3738, 2460, 540, 938, 8723, 602, 1862, 901, 15683, 2306, 621, 4636, 585, 1866, 547, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 602, 15683, 1862, 910, 19937, 4901, 267, 7467, 540, 4975, 543, 7256, 1857, 8468, 630, 949, 476, 1001, 273, 3738, 19443, 2669, 910, 1744, 27553, 267, 29755, 24049, 610, 21189, 547, 1569, 519, 2407, 1543, 602, 2470, 568, 10257, 543, 7787, 9232, 568, 711, 3730, 256, 14348, 581, 2111, 547, 1294, 519, 2407, 1257, 1543, 568, 827, 607, 1434, 607, 23006, 4991, 543, 1862, 661, 30984, 568, 711, 1659, 2685, 1018, 568, 15683, 2687, 547, 737, 656, 5583, 547, 1265, 519, 2626, 972, 267, 5225, 3346, 707, 7172, 4115, 1318, 547, 15683, 269, 4475, 581, 5340, 2687, 547, 519, 11807, 8471, 4031, 540, 13919, 543, 547, 7919, 2757, 540, 256, 1656, 811, 3730, 10206, 540, 15683, 568, 693, 1655, 513, 1175, 27940, 1650, 15683, 1018, 568, 15683, 2687, 547, 737, 656, 581, 3501, 610, 20541, 4464, 256, 3245, 3257, 519, 1318, 3364, 17033, 1317, 621, 568, 2966, 568, 16180, 1808, 256, 4347, 1441, 689, 519, 21654, 945, 12038, 519, 1034, 5693, 827, 1480, 15683, 729, 1500, 1862, 18983, 24777, 2687, 547, 23006, 267, 595, 1538, 5566, 16122, 630, 16275, 3738, 7919, 568, 513, 4341, 547, 1246, 568, 519, 540, 256, 12653, 1457, 610, 8585, 1097, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 7256, 1862, 2334, 1058, 22035, 880, 519, 3844, 5931, 540, 1018, 568, 15683, 2687, 547, 737, 656, 3844, 5931, 540, 519, 2165, 1480, 15683, 1044, 256, 1656, 547, 7919, 8585, 1097, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 7256, 256, 23006, 13187, 602, 9117, 609, 8103, 6770, 538, 15683, 585, 1004, 676, 1202, 12371, 1018, 568, 15683, 2687, 547, 737, 656, 835, 1866, 269, 23006, 5837, 4502, 568, 5462, 538, 519, 13814, 2501, 827, 998, 552, 30984, 7569, 2463, 543, 15683, 4641, 1862, 5131, 569, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 723, 1880, 2924, 17709, 1862, 5272, 1367, 267, 621, 666, 2479, 581, 21739, 26991, 1655, 267, 5207, 267, 1034, 3407, 3364, 855, 256, 286, 11313, 910, 19937, 4901, 267, 7467, 540, 4975, 543, 7256, 1857, 630, 256, 589, 10279, 1759, 593, 513, 632, 2632, 1670, 2802, 545, 1906, 1919, 543, 594, 1589, 602, 519, 6240, 1862, 634, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 676, 1202, 12371, 602, 835, 13000, 1866, 607, 7475, 543, 1797, 256, 5620, 15683, 267, 1317, 649, 616, 6148, 865, 1031, 547, 713, 2856, 607, 513, 5837, 14196, 596, 3313, 1862, 11916, 2259, 538, 4915, 910, 24380, 2917, 808, 8055, 267, 590, 1584, 23364, 630, 476, 1001, 279, 3738, 19443, 2669, 910, 1744, 27553, 11783, 6168, 607, 1434, 607, 23006, 4991, 267, 543, 952, 621, 941, 267, 4487, 538, 835, 11313, 6138, 256, 3629, 2463, 543, 15683, 543, 568, 3976, 3564, 3902, 269, 3184, 540, 513, 968, 1434, 15884, 9232, 968, 269, 22032, 602, 1058, 22035, 880, 17271, 538, 1018, 568, 15683, 2687, 547, 737, 656, 476, 3393, 7972, 538, 519, 595, 1538, 5566, 16122, 16275, 269, 645, 732, 2463, 585, 519, 5837, 1876, 1369, 9232, 5310, 540, 700, 3581, 3425, 723, 15683, 1317, 789, 11313, 7787, 1862, 2311, 891, 543, 519, 1964, 540, 23006, 1412, 338, 12591, 593, 2463, 543, 2648, 1367, 3593, 949, 1820, 856, 7300, 269, 1772, 1946, 585, 23006, 13919, 568, 1336, 538, 519, 1158, 713, 2631, 568, 547, 581, 513, 7787, 1797, 1862, 30667, 540, 1492, 16140, 1740, 875, 1131, 649, 917, 2282, 519, 338, 21750, 13272, 540, 519, 4207, 256, 7736, 267, 711, 21559, 621, 910, 8176, 19811, 267, 14265, 343, 630, 476, 1001, 279, 907, 1306, 20244, 17709, 540, 2463, 543, 15683, 543, 5191, 281, 1955, 28609, 23006, 23006, 11313, 521, 3527, 1058, 4061, 5340, 269, 476, 1015, 269, 11820, 274, 270, 10907, 2889, 325, 281, 522, 810, 270, 7818, 25171, 280, 5780, 18605, 280, 269, 9826, 269, 1822, 272, 267, 11553, 19860, 3633, 689, 10228, 18623, 1222, 6732, 3340, 513, 20478, 616, 2111, 269, 476, 1220, 271, 3738, 2413, 2070, 540, 15683, 267, 519, 22062, 566, 630, 476, 1001, 274, 3738, 581, 538, 1862, 11408, 957, 2687, 547, 23006, 267, 15683, 568, 513, 4387, 267, 7548, 540, 23080, 14306, 4915, 693, 9315, 858, 2160, 543, 4830, 1862, 1677, 2303, 602, 713, 568, 519, 1655, 267, 5207, 267, 1034, 3407, 28011, 3657, 7787, 8069, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 568, 8572, 547, 2491, 875, 267, 952, 568, 1862, 1677, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 5191, 2501, 609, 5837, 5539, 519, 269, 1677, 3494, 2582, 3184, 540, 513, 2582, 3184, 540, 513, 1395, 1748, 538, 744, 12569, 585, 2123, 2807, 7427, 539, 676, 971, 19206, 281, 476, 272, 30464, 9116, 519, 3557, 1412, 338, 9314, 538, 27986, 1133, 9799, 907, 1306, 1454, 15683, 607, 646, 1223, 1590, 518, 267, 646, 2451, 519, 4055, 26637, 1408, 10418, 568, 18005, 609, 256, 2142, 1863, 568, 547, 581, 513, 7787, 8665, 1797, 519, 26637, 1408, 10418, 568, 18005, 28337, 519, 1862, 2060, 8103, 6770, 538, 15683, 585, 1480, 7919, 630, 5827, 540, 2601, 2687, 256, 2060, 602, 540, 824, 15806, 2093, 543, 547, 7919, 24004, 28748, 1058, 2061, 11980, 267, 711, 21559, 621, 910, 8176, 28011, 13242, 547, 713, 2856, 602, 13919, 568, 4052, 2601, 568, 513, 6986, 2339, 540, 1857, 3106, 799, 256, 13898, 4267, 519, 2055, 6679, 713, 1557, 5837, 5539, 585, 519, 11361, 543, 16981, 3425, 8103, 607, 606, 1439, 711, 269, 26812, 3215, 3877, 540, 23006, 11313, 521, 2093, 568, 2463, 543, 15683, 2729, 602, 1058, 22035, 880, 538, 1250, 1995, 540, 2944, 1862, 4460, 2349, 665, 615, 267, 3397, 5886, 10753, 1156, 328, 2806, 10407, 9291, 7335, 910, 4864, 476, 1001, 280, 267, 27950, 30464, 9116, 3557, 269, 1635, 7421, 543, 19286, 908, 5570, 976, 1619, 2093, 827, 13919, 267, 1519, 519, 2093, 540, 513, 968, 1434, 15884, 9232, 968, 1421, 7548, 540, 23080, 14306, 4915, 693, 9315, 858, 2160, 543, 606, 4830, 3444, 17754, 577, 4759, 540, 519, 2165, 1480, 941, 1862, 654, 3994, 585, 1866, 547, 6057, 721, 610, 547, 946, 721, 1996, 938, 786, 568, 8037, 23006, 29755, 649, 723, 2907, 2097, 2066, 513, 23319, 607, 547, 1018, 646, 5921, 602, 540, 824, 907, 715, 31415, 1265, 519, 2495, 543, 4641, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1280, 17787, 454, 258, 589, 585, 8520, 568, 1031, 585, 12055, 908, 936, 513, 5311, 630, 7474, 568, 2901, 513, 1592, 267, 513, 24042, 267, 513, 8675, 267, 513, 1305, 267, 610, 513, 5569, 1916, 258, 901, 568, 1447, 899, 519, 585, 20438, 538, 824, 5752, 4654, 267, 543, 1568, 811, 899, 606, 12055, 1807, 1505, 607, 1336, 538, 824, 1843, 11399, 1304, 730, 5752, 4654, 563, 258, 2060, 519, 585, 8520, 649, 666, 14892, 513, 1305, 540, 6898, 267, 2899, 585, 1142, 6221, 538, 513, 1592, 267, 24042, 267, 1305, 3092, 780, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 585, 1535, 538, 5613, 912, 258, 672, 1820, 3287, 2020, 258, 10753, 14563, 998, 513, 5569, 454, 258, 585, 1535, 538, 834, 3316, 3570, 13426, 258, 672, 1820, 3287, 2020, 258, 2736, 15048, 454, 258, 609, 519, 2736, 3948, 649, 666, 3247, 519, 8520, 1354, 621, 814, 8520, 539, 998, 782, 519, 3688, 563, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 585, 1535, 538, 5613, 912, 258, 672, 1820, 3287, 994, 258, 672, 952, 1535, 2652, 834, 3316, 3570, 13426, 258, 1363, 2736, 692, 258, 634, 3136, 3948, 454, 258, 609, 519, 3136, 3948, 649, 666, 3247, 519, 1699, 21767, 540, 519, 8520, 543, 3136, 609, 519, 1985, 21767, 563, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 257, 6540, 258, 585, 1535, 538, 5613, 912, 258, 672, 952, 1535, 2652, 834, 3316, 3570, 13426, 258, 1363, 3136, 454, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 9577, 454, 258, 1677, 8520, 998, 513, 1305, 540, 3009, 513, 9138, 1297, 540, 2053, 267, 649, 666, 946, 519, 2039, 3890, 1599, 2676, 258, 634, 2039, 3890, 1599, 7024, 513, 5311, 540, 2338, 267, 4358, 689, 476, 271, 676, 9949, 267, 543, 1213, 906, 676, 476, 272, 630, 2421, 9949, 1070, 543, 7475, 693, 513, 9138, 1297, 563, 258, 585, 1535, 538, 2039, 263, 277, 2187, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 1599, 9949, 338, 547, 476, 271, 607, 513, 4358, 1871, 267, 2705, 621, 568, 2009, 547, 14574, 519, 4358, 1871, 676, 4946, 513, 9936, 281, 2039, 263, 273, 267, 476, 277, 1070, 799, 1797, 2418, 689, 476, 273, 547, 476, 277, 630, 8117, 711, 1519, 476, 277, 2187, 258, 585, 1535, 538, 2039, 263, 273, 267, 476, 277, 2187, 258, 672, 1820, 3287, 2020, 258, 634, 2039, 3890, 1599, 9949, 338, 547, 27261, 519, 5311, 676, 476, 272, 267, 2705, 621, 568, 2009, 547, 14574, 519, 27261, 1871, 676, 4946, 513, 3791, 9936, 281, 2039, 263, 273, 267, 476, 1789, 267, 476, 274, 2187, 258, 585, 1535, 538, 2039, 263, 273, 267, 476, 1789, 267, 476, 274, 2187, 258, 672, 1820, 3287, 2020, 258, 22527, 538, 1280, 31230, 454, 258, 634, 3116, 20438, 538, 513, 585, 8520, 23403, 513, 3625, 540, 3009, 547, 581, 13401, 950, 519, 8520, 568, 8737, 912, 258, 585, 1535, 538, 2039, 263, 277, 2187, 258, 672, 1820, 3287, 994, 258, 3116, 912, 258, 672, 1820, 2891, 7661, 5685, 1639, 10590, 2020, 258, 715, 6479, 10753, 3591, 454, 258, 589, 29005, 8520, 568, 513, 8520, 3330, 513, 8520, 563, 258, 634, 834, 27903, 8520, 257, 786, 581, 13401, 835, 942, 585, 1142, 21767, 540, 519, 834, 537, 614, 8520, 13426, 258, 7755, 815, 22373, 1042, 2580, 834, 15927, 2580, 834, 339, 7360, 31116, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 257, 6540, 258, 585, 1535, 538, 7755, 912, 258, 672, 585, 586, 538, 5613, 912, 258, 1363, 1820, 3287, 267, 586, 2020, 258, 634, 1780, 15048, 454, 258, 585, 17787, 3112, 581, 8900, 267, 855, 952, 596, 585, 930, 2601, 723, 513, 585, 8520, 609, 1100, 1543, 267, 2322, 538, 519, 1780, 3948, 547, 2057, 3478, 606, 5470, 563, 258, 585, 1535, 538, 1496, 271, 267, 476, 272, 267, 476, 273, 14158, 258, 672, 1780, 692, 258, 5124, 12793, 454, 258, 589, 1599, 568, 513, 3625, 540, 3009, 799, 1152, 8255, 950, 621, 568, 1572, 563, 258, 1411, 666, 1780, 1239, 267, 1634, 607, 6724, 267, 883, 513, 1599, 563, 258, 589, 1599, 666, 2132, 1239, 607, 513, 1267, 780, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1820, 2891, 15916, 689, 513, 1599, 15419, 258, 11910, 532, 513, 1599, 454, 258, 1677, 1289, 513, 1599, 267, 946, 519, 1599, 2012, 4553, 676, 2385, 4185, 912, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1820, 2891, 15916, 689, 513, 1599, 257, 9239, 258, 1250, 6958, 4233, 30800, 258, 14803, 3701, 454, 258, 6176, 666, 581, 5293, 883, 3252, 607, 7440, 563, 258, 14803, 3701, 616, 9138, 1310, 519, 1599, 2012, 267, 3330, 519, 24324, 269, 1411, 666, 1039, 607, 1082, 7440, 607, 596, 1616, 267, 1175, 5094, 873, 609, 513, 26893, 563, 258, 634, 1739, 1383, 814, 513, 1599, 609, 835, 4661, 6600, 4067, 1040, 1879, 519, 1599, 568, 1572, 267, 649, 1780, 2059, 513, 1101, 2012, 267, 799, 568, 1031, 3330, 519, 1599, 547, 1820, 519, 2407, 2012, 1384, 258, 1219, 1250, 6958, 4233, 6600, 4067, 2187, 258, 672, 1820, 6600, 4067, 1341, 834, 4676, 338, 5886, 257, 9239, 258, 1250, 6958, 4233, 2891, 10387, 841, 5602, 258, 1250, 6958, 4233, 2891, 307, 984, 5362, 5602, 258, 1250, 6958, 4233, 2891, 299, 19434, 15419, 258, 30352, 610, 14803, 3701, 888, 258, 634, 2474, 9936, 543, 4661, 666, 581, 1031, 585, 519, 1482, 3364, 281, 1344, 602, 616, 5293, 883, 513, 1599, 563, 258, 3245, 513, 1599, 781, 5133, 912, 258, 589, 9936, 568, 519, 4756, 7396, 3330, 519, 24324, 538, 519, 1599, 4214, 563, 258, 1323, 4661, 568, 519, 1871, 602, 568, 2366, 547, 519, 1599, 950, 621, 568, 1572, 780, 258, 7089, 540, 14803, 3701, 454, 258, 1635, 9949, 267, 513, 1599, 1590, 581, 1572, 609, 519, 2953, 1297, 540, 7440, 269, 12791, 602, 952, 707, 1599, 26770, 476, 273, 7440, 267, 596, 723, 547, 1289, 519, 1599, 609, 476, 273, 7440, 267, 711, 811, 267, 543, 711, 1447, 563, 258, 1219, 1250, 6958, 4233, 6600, 4067, 267, 561, 4067, 2187, 258, 672, 1820, 6600, 4067, 1341, 834, 834, 1341, 561, 4067, 9239, 258, 1250, 6958, 4233, 2891, 10387, 841, 2580, 834, 8269, 338, 5886, 15419, 258, 1488, 4226, 9009, 14803, 3701, 267, 2608, 16911, 454, 258, 1403, 596, 798, 711, 917, 875, 1082, 7440, 602, 786, 581, 5293, 883, 707, 1599, 267, 1039, 513, 2608, 1354, 519, 9936, 2012, 538, 519, 1599, 4214, 563, 258, 901, 1259, 519, 1599, 786, 4309, 513, 24042, 540, 7440, 267, 543, 666, 1569, 519, 3688, 9935, 912, 258, 1219, 1250, 6958, 4233, 28949, 330, 1749, 2187, 258, 672, 1820, 2891, 763, 21836, 1126, 568, 834, 1341, 3214, 314, 273, 20285, 258, 1250, 6958, 4233, 2891, 10387, 841, 2580, 834, 307, 984, 5362, 2580, 834, 299, 19434, 15419, 258, 6206, 5320, 14803, 3701, 454, 258, 1411, 666, 849, 6494, 7440, 609, 519, 1883, 815, 1871, 16105, 563, 258, 901, 1259, 519, 1931, 540, 519, 7440, 1281, 711, 2339, 563, 258, 1219, 1250, 6958, 4233, 263, 18876, 274, 267, 1126, 273, 267, 1126, 272, 2187, 258, 672, 1820, 2891, 763, 21836, 1126, 568, 834, 1341, 1126, 274, 9239, 258, 1250, 6958, 4233, 263, 18876, 272, 6889, 10387, 841, 2580, 1126, 273, 6889, 307, 984, 5362, 2580, 1126, 274, 6889, 299, 19434, 15419, 258, 1488, 4226, 9009, 6206, 5320, 14803, 3701, 267, 2878, 29220, 16911, 454, 258, 1403, 596, 798, 711, 917, 875, 1082, 20438, 7440, 602, 786, 581, 5293, 883, 707, 1599, 267, 1039, 1079, 14531, 7416, 281, 2878, 1354, 519, 9936, 2012, 538, 519, 1599, 4214, 563, 258, 901, 1259, 519, 1599, 786, 4309, 513, 8675, 540, 7440, 267, 543, 666, 1569, 519, 3688, 9935, 912, 258, 1219, 1250, 6958, 4233, 263, 1262, 330, 573, 2187, 258, 672, 1820, 2891, 14367, 2063, 2012, 568, 834, 1341, 4819, 14277, 331, 4067, 19312, 9239, 258, 1250, 6958, 4233, 6600, 4067, 6889, 307, 984, 5362, 2580, 561, 4067, 6889, 8269, 338, 5886, 15419, 258, 4347, 5435, 20368, 2678, 10025, 454, 258, 634, 1739, 1383, 2982, 875, 547, 946, 513, 9949, 9936, 1871, 563, 258, 1403, 649, 1289, 519, 1599, 1510, 4661, 267, 621, 3096, 519, 9949, 1871, 912, 258, 1219, 1250, 6958, 4233, 6262, 870, 787, 6889, 301, 528, 3118, 257, 2187, 258, 672, 1820, 2891, 296, 993, 689, 834, 1341, 2197, 2020, 258, 1250, 6958, 4233, 2891, 306, 14954, 523, 5602, 258, 1250, 6958, 4233, 2891, 19328, 5602, 258, 1250, 6958, 4233, 4590, 258, 1250, 6958, 4233, 2891, 24154, 7588, 15419, 258, 10426, 532, 513, 5903, 607, 606, 21261, 454, 258, 1411, 666, 6494, 1022, 1239, 2010, 540, 4661, 547, 513, 1599, 30415, 267, 1297, 267, 1592, 267, 8675, 3092, 13776, 543, 621, 786, 581, 5701, 607, 519, 1482, 1239, 1826, 3330, 519, 1599, 563, 258, 661, 3052, 269, 952, 596, 6494, 513, 5903, 607, 606, 4661, 267, 621, 786, 1869, 581, 513, 5903, 950, 621, 10301, 519, 1599, 912, 258, 1219, 1250, 6958, 4233, 6600, 797, 2187, 258, 672, 585, 1535, 538, 1426, 912, 258, 1363, 1820, 3287, 9239, 258, 5613, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 258, 1250, 6958, 4233, 6600, 21209, 2020, 258, 17776, 18880, 454, 258, 1677, 1577, 513, 1599, 2132, 513, 1871, 267, 946, 519, 2132, 3948, 1384, 258, 1219, 1250, 6958, 4233, 3287, 2187, 258, 672, 2132, 476, 276, 20080, 7531, 258, 1820, 30044, 6958, 4233, 263, 274, 4917, 258, 1820, 30044, 6958, 4233, 263, 276, 4917, 258, 1820, 30044, 6958, 4233, 263, 280, 264, 9239, 258, 634, 1780, 15048, 454, 258, 1599, 8847, 3112, 581, 8900, 267, 855, 952, 596, 585, 930, 2601, 723, 513, 1599, 4214, 609, 1100, 1543, 267, 2322, 538, 519, 1780, 3948, 547, 2057, 3478, 606, 5470, 780, 258, 1219, 1250, 6958, 4233, 10031, 258, 672, 1780, 692, 258, 1234, 15479, 542, 454, 258, 5124, 849, 24693, 1599, 16571, 542, 267, 799, 1797, 513, 3989, 1599, 666, 1289, 3294, 563, 258, 1234, 15479, 542, 568, 513, 1455, 6310, 543, 5752, 1523, 269, 898, 1797, 602, 513, 1599, 7125, 3294, 269, 901, 814, 519, 4324, 540, 2495, 602, 596, 666, 8520, 998, 1239, 547, 3914, 513, 1267, 563, 258, 634, 17354, 1058, 581, 1360, 6297, 609, 16571, 542, 607, 621, 666, 581, 3833, 2653, 547, 17277, 883, 1603, 513, 1599, 799, 2760, 2165, 7149, 267, 610, 835, 602, 3096, 4430, 5666, 540, 3965, 610, 16267, 1379, 269, 1717, 267, 950, 2854, 7157, 16571, 542, 666, 581, 513, 1360, 3608, 543, 28879, 3887, 5586, 656, 1935, 547, 5752, 563, 258, 769, 713, 1383, 267, 2468, 23631, 15479, 542, 3890, 568, 513, 1599, 602, 649, 723, 3989, 547, 1289, 3294, 9497, 516, 2017, 572, 20257, 1284, 946, 519, 737, 4756, 607, 519, 1239, 267, 799, 3526, 906, 11196, 272, 264, 1169, 942, 649, 973, 9309, 269, 634, 16571, 542, 7475, 950, 519, 2783, 568, 711, 3152, 982, 476, 271, 630, 328, 4318, 269, 950, 621, 568, 476, 271, 1916, 258, 1677, 513, 1007, 17354, 621, 666, 1491, 930, 942, 547, 960, 856, 875, 4010, 713, 1568, 267, 1655, 1259, 547, 1265, 856, 568, 676, 4152, 543, 22212, 621, 780, 258, 1219, 2468, 23631, 15479, 542, 17347, 2187, 258, 672, 952, 737, 3436, 476, 271, 912, 258, 1363, 1267, 815, 737, 1341, 2468, 23631, 15479, 542, 17347, 268, 274, 994, 258, 1363, 1820, 31114, 994, 258, 672, 3116, 912, 258, 1363, 1267, 815, 476, 271, 454, 258, 672, 2132, 1267, 7531, 258, 1820, 19629, 333, 14826, 13434, 2720, 542, 1383, 2164, 5602, 258, 2468, 23631, 15479, 542, 263, 277, 2020, 258, 5124, 700, 10033, 454, 258, 589, 25754, 1599, 568, 513, 1507, 20822, 1599, 563, 258, 589, 25754, 1599, 666, 1491, 1022, 1297, 540, 7440, 267, 855, 666, 1152, 723, 835, 4082, 563, 258, 5410, 476, 1015, 547, 4661, 513, 2073, 543, 2132, 519, 1267, 10778, 258, 1535, 815, 25754, 513, 281, 513, 1341, 476, 1015, 454, 258, 1820, 3287, 263, 276, 11723, 258, 19681, 6767, 3252, 666, 1491, 1022, 1297, 540, 7440, 454, 258, 1535, 284, 14433, 513, 14720, 281, 513, 265, 321, 454, 258, 1820, 3287, 263, 276, 267, 277, 11723, 258, 1535, 815, 25754, 513, 267, 536, 267, 524, 281, 513, 17070, 25239, 454, 258, 1820, 3287, 263, 272, 267, 476, 273, 267, 476, 274, 11723, 258, 4208, 2422 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 609, 476, 6110, 13646, 267, 1101, 22286, 3233, 10685, 2230, 267, 543, 11895, 18736, 568, 2469, 909, 538, 22208, 779, 3162, 8235, 5742, 269, 2290, 540, 519, 3119, 5820, 585, 519, 2679, 568, 6405, 269, 1306, 1142, 6405, 14903, 7962, 625, 922, 9115, 883, 519, 3135, 267, 513, 1007, 835, 27605, 909, 281, 602, 779, 513, 14903, 2903, 540, 6405, 1169, 2947, 3764, 269, 1306, 519, 7414, 19566, 1630, 1682, 267, 621, 779, 1210, 513, 2603, 540, 6405, 547, 1628, 5656, 267, 9897, 543, 824, 5989, 2443, 543, 1818, 782, 602, 6405, 568, 513, 2462, 851, 540, 938, 3327, 11640, 16634, 634, 1152, 9160, 2030, 538, 6115, 568, 538, 3162, 22208, 281, 12891, 717, 17311, 269, 898, 2306, 835, 3791, 540, 782, 519, 9160, 1031, 538, 6115, 269, 4706, 4893, 985, 20441, 519, 6607, 1467, 676, 519, 5800, 540, 22208, 269, 1656, 621, 849, 8309, 606, 856, 13355, 32004, 547, 22208, 779, 3327, 11640, 281, 519, 2030, 6589, 585, 4557, 2600, 540, 519, 2749, 779, 8511, 3154, 5434, 269, 661, 559, 6403, 338, 744, 262, 10468, 650, 5359, 269, 630, 298, 308, 8582, 994, 289, 5861, 269, 2912, 3218, 2489, 1305, 547, 29506, 1125, 13505, 595, 2481, 1788, 454, 289, 5861, 9538, 338, 2912, 3218, 2489, 814, 1305, 1200, 24738, 593, 519, 13505, 595, 2481, 538, 22583, 645, 5861, 1421, 4352, 1352, 3884, 1405, 2943, 2386, 799, 2460, 540, 519, 803, 8615, 3491, 915, 1200, 2319, 786, 581, 29506, 1944, 269, 834, 2005, 781, 971, 513, 1950, 1788, 2437, 1767, 8349, 13852, 2590, 518, 267, 945, 5950, 1200, 476, 1001, 279, 268, 866, 14422, 1544, 13723, 269, 13852, 2590, 518, 1767, 1082, 540, 519, 2055, 1200, 5604, 1185, 827, 13505, 595, 941, 12943, 538, 519, 645, 5861, 269, 7780, 1988, 8189, 2079, 5950, 2063, 1032, 267, 855, 1352, 11099, 519, 2481, 781, 4070, 1869, 3340, 3544, 23388, 269, 12448, 27956, 329, 1092, 5359, 269, 630, 290, 6195, 994, 302, 24810, 5808, 14190, 539, 10326, 28981, 1635, 681, 2644, 9469, 13574, 518, 1772, 715, 3139, 2817, 20088, 10615, 454, 763, 1007, 9117, 8689, 540, 519, 2817, 5244, 6796, 568, 513, 5449, 11614, 4013, 945, 729, 1065, 3234, 663, 539, 476, 1321, 1296, 3516, 585, 2046, 1005, 5520, 547, 1450, 519, 8227, 540, 519, 6115, 681, 2644, 9469, 547, 2759, 1524, 4054, 585, 513, 1732, 2070, 540, 519, 8000, 558, 659, 5211, 269, 25181, 4972, 27116, 269, 24138, 2098, 514, 651, 9307, 519, 13319, 540, 6754, 12253, 8055, 593, 13723, 269, 3245, 476, 1220, 275, 547, 476, 1001, 276, 267, 8055, 729, 2706, 23734, 550, 540, 20616, 2817, 8466, 5244, 16634, 589, 476, 1220, 277, 7634, 676, 519, 25181, 779, 8524, 528, 2489, 779, 5604, 1336, 602, 8055, 968, 514, 1952, 10187, 2299, 1031, 1010, 2990, 547, 4019, 2604, 543, 4931, 1203, 715, 4916, 5773, 892, 593, 15773, 540, 8355, 590, 5500, 1457, 267, 519, 8227, 540, 519, 715, 14566, 779, 6115, 681, 2644, 9469, 269, 590, 5500, 1457, 13604, 2759, 1524, 811, 982, 476, 9873, 4054, 593, 10480, 518, 958, 6870, 2244, 1063, 1010, 2777, 543, 519, 595, 261, 302, 22575, 269, 19846, 331, 654, 4461, 2917, 5359, 269, 630, 301, 11266, 994, 3086, 267, 707, 512, 1872, 4365, 734, 454, 26156, 9980, 8896, 772, 2529, 269, 27347, 26463, 2986, 20844, 1546, 674, 1075, 320, 268, 476, 28796, 7537, 623, 4306, 774, 340, 3967, 476, 1839, 476, 1001, 279, 454, 15674, 31165, 590, 2842, 476, 1015, 547, 476, 736, 737, 339, 1287, 4742, 476, 276, 547, 476, 1428, 737, 339, 538, 519, 12784, 269, 6489, 6329, 476, 272, 547, 476, 274, 10264, 269, 17335, 2220, 749, 476, 279, 10264, 693, 476, 1015, 7643, 269, 8058, 619, 563, 307, 2177, 20846, 17335, 2842, 476, 276, 547, 476, 1428, 737, 339, 8375, 547, 476, 1428, 547, 476, 1839, 737, 339, 1310, 28813, 269, 6489, 6329, 476, 273, 10264, 610, 1447, 2679, 547, 476, 273, 547, 476, 275, 10264, 1310, 28813, 269, 654, 2220, 749, 476, 1015, 10264, 693, 476, 1724, 7643, 269, 8058, 619, 563, 257, 21946, 880, 7256, 5240, 1299, 16661, 257, 568, 16432, 607, 513, 2146, 3028, 676, 19375, 590, 6737, 269, 1677, 24049, 267, 6494, 707, 2012, 543, 4757, 547, 20444, 6737, 31822, 264, 2892, 880, 572, 659, 558, 2593, 269, 2659, 4757, 1344, 568, 2760, 3838, 543, 596, 666, 5667, 889, 18285, 693, 1022, 942, 563, 21946, 880, 7256, 5240, 281, 4004, 6510, 267, 3447, 622, 267, 5917, 11229, 454, 10287, 593, 12108, 563, 21946, 880, 7256, 18058, 281, 18266, 4270, 570, 1245, 0, 3674, 1352, 2352, 547, 1174, 950, 1352, 568, 6158, 888, 9989, 646, 723, 7411, 16460, 543, 1620, 2055, 888, 9989, 1352, 723, 7411, 6998, 2055, 610, 6085, 532, 593, 606, 2680, 888, 3674, 646, 711, 1210, 2347, 5220, 888, 9989, 1352, 3100, 547, 723, 536, 17056, 4633, 888, 6701, 1010, 8292, 1055, 2389, 8084, 888, 11854, 3663, 543, 5678, 22627, 2488, 1367, 20241, 543, 3797, 585, 1453, 6502, 476, 274, 268, 1240, 945, 723, 17799, 538, 454, 14588, 3663, 543, 5924, 1893, 269, 3776, 5692, 568, 547, 948, 1142, 1126, 1921, 609, 519, 1004, 538, 1010, 17017, 1604, 538, 513, 6209, 1259, 998, 2792, 563, 4596, 12613, 7419, 2975, 9569, 281, 519, 957, 610, 1184, 540, 1210, 1913, 267, 4992, 267, 4191, 267, 610, 5615, 547, 2769, 610, 5385, 1344, 610, 547, 2769, 454, 20365, 2093, 267, 4555, 267, 4606, 267, 3092, 1421, 547, 2576, 3116, 630, 30560, 26713, 268, 31812, 264, 0, 3528, 1849, 633, 661, 916, 2917, 454, 548, 12069, 267, 543, 519, 1259, 519, 8375, 1533, 2829, 540, 519, 8884, 12038, 1394, 547, 10363, 2534, 998, 519, 4434, 540, 7128, 4229, 543, 519, 27715, 540, 12204, 540, 10751, 563, 763, 552, 26247, 24870, 538, 519, 13354, 2470, 1369, 799, 9867, 2829, 6594, 835, 1776, 543, 741, 12205, 267, 543, 519, 2081, 602, 9867, 6963, 619, 22121, 3741, 543, 11567, 2384, 532, 543, 10336, 6901, 538, 1114, 6082, 269, 898, 10123, 7710, 519, 7811, 4145, 30343, 4195, 4983, 267, 3746, 2358, 602, 519, 19260, 538, 3741, 593, 6760, 543, 20737, 723, 1044, 9444, 5276, 6862, 5180, 267, 543, 11744, 25442, 569, 602, 1082, 3741, 688, 6150, 607, 1007, 676, 1259, 540, 2413, 14761, 543, 538, 454, 9690, 7521, 593, 6760, 543, 922, 1412, 338, 30055, 3299, 723, 513, 5963, 17890, 543, 3879, 686, 748, 1686, 563, 5649, 610, 8281, 17235, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 7300, 454, 13436, 20410, 1686, 2835, 454, 1692, 1705, 4789, 1780, 689, 513, 1747, 540, 17071, 640, 547, 519, 2178, 5053, 10504, 547, 9585, 3486, 840, 15041, 29561, 286, 1282, 713, 1360, 1271, 4090, 19545, 267, 1325, 2581, 3381, 3756, 267, 513, 7810, 1977, 14787, 267, 7710, 519, 8884, 689, 476, 14444, 271, 547, 476, 14917, 271, 267, 1247, 4789, 13934, 2531, 514, 542, 936, 519, 586, 534, 27365, 17407, 267, 8810, 1007, 1279, 26591, 5385, 11507, 1369, 519, 29534, 11335, 543, 519, 5101, 28851, 267, 543, 7153, 1369, 519, 27867, 2540, 607, 606, 10504, 547, 22672, 517, 609, 563, 5575, 5950, 538, 476, 1960, 277, 269, 30296, 568, 606, 29501, 540, 13177, 1299, 14731, 267, 606, 1217, 320, 2754, 563, 763, 9872, 540, 519, 4095, 18487, 6837, 538, 476, 6642, 276, 6825, 513, 7432, 2460, 538, 5347, 3162, 7489, 3140, 2250, 269, 593, 519, 942, 267, 1906, 9787, 539, 519, 2956, 540, 519, 1646, 267, 6862, 6956, 519, 2702, 602, 922, 8783, 1223, 2097, 547, 29937, 269, 3245, 18803, 20297, 267, 519, 6837, 3366, 3842, 19413, 949, 1847, 2047, 547, 27490, 3650, 3127, 521, 6560, 585, 7115, 689, 3703, 4341, 281, 538, 476, 3707, 278, 621, 16309, 519, 3703, 14076, 1317, 519, 8378, 15194, 1648, 563, 292, 26663, 1296, 1310, 519, 1975, 527, 13933, 729, 2899, 1101, 3710, 621, 5170, 547, 581, 606, 12835, 540, 7952, 18229, 269, 711, 5976, 9227, 1082, 24988, 922, 11802, 2429, 519, 4655, 540, 24469, 1317, 519, 7050, 2460, 1369, 519, 4282, 540, 519, 1975, 527, 13933, 267, 519, 1296, 1739, 723, 1044, 540, 6697, 1871, 269, 11109, 649, 9312, 519, 16861, 19996, 267, 538, 519, 4098, 540, 476, 3707, 272, 674, 7660, 16710, 3576, 519, 6560, 547, 519, 16586, 609, 18086, 13485, 936, 519, 19305, 563, 268, 2060, 519, 717, 12584, 476, 4489, 275, 1107, 476, 4489, 279, 281, 1323, 4427, 531, 1181, 779, 9452, 630, 3412, 1137, 540, 2782, 994, 268, 634, 26308, 540, 15331, 281, 853, 1645, 7849, 13898, 538, 20640, 7570, 31588, 1722, 6628, 454, 268, 1772, 629, 7578, 267, 10348, 9453, 513, 3117, 7220, 454, 268, 11545, 5020, 538, 932, 29694, 781, 4789, 454, 21206, 9623, 585, 17235, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 454, 24979, 830, 267, 17318, 267, 543, 6755, 531, 8889, 281, 3864, 23800, 476, 11260, 271, 268, 3707, 271, 676, 1849, 633, 661, 916, 2917, 0, 306, 5271, 257, 5460, 267, 562, 269, 476, 272, 269, 2290, 1985, 538, 1931, 1310, 519, 15795, 282, 835, 4947, 1310, 3670, 1866, 563, 273, 269, 634, 23479, 540, 513, 1770, 5258, 676, 5722, 282, 835, 540, 5722, 3160, 2694, 883, 799, 4376, 568, 5258, 563, 263, 15404, 4700, 630, 320, 264, 1323, 8884, 8508, 5722, 1019, 520, 4577, 5232, 540, 519, 4336, 269, 630, 321, 264, 589, 16147, 799, 2882, 519, 8884, 540, 513, 18749, 2436, 2101, 267, 5634, 267, 610, 21022, 563, 6124, 910, 5410, 9218, 9612, 547, 2659, 13505, 454, 2791, 666, 1039, 513, 1863, 8675, 3406, 4216, 547, 707, 1378, 1357, 3135, 676, 25718, 543, 2250, 532, 519, 1739, 14103, 883, 835, 540, 707, 1357, 3817, 912, 283, 845, 2962, 6889, 10674, 2517, 4178, 8807, 7517, 1112, 16691, 16896, 270, 14142, 21703, 257, 1505, 6889, 14006, 22969, 2999, 335, 2511, 6889, 3667, 268, 7955, 281, 4099, 282, 13944, 1922, 13637, 281, 521, 753, 1606, 518, 604, 282, 22969, 2999, 320, 2511, 6889, 325, 2632, 27954, 281, 12050, 282, 257, 27430, 6889, 10674, 2517, 4178, 8807, 7517, 1112, 16691, 16896, 270, 257, 2140, 6889, 10403, 291, 1112, 1863, 2228, 8675, 22969, 10403, 291, 1112, 9572, 320, 285, 2999, 6358, 1826, 6889, 3667, 257, 2012, 6889, 5320, 257, 2450, 6889, 736, 257, 1871, 284, 3269, 29451, 2999, 6358, 1826, 6889, 11357, 2466, 257, 2012, 6889, 11357, 2466, 257, 1871, 6889, 15507, 9218, 257, 29451, 21742, 335, 285, 21742, 845, 11417, 26607, 476, 736, 628, 5988, 476, 1001, 280, 0, 295, 1716, 807, 2049, 950, 513, 9761, 5160, 610, 606, 1418, 24864, 998, 606, 6679, 538, 513, 4887, 610, 5160, 602, 6585, 621, 538, 1747, 269, 28871, 1200, 11844, 786, 2049, 538, 17737, 538, 930, 2665, 621, 786, 2049, 538, 5580, 25427, 267, 17987, 7735, 543, 9240, 514, 2127, 563, 28808, 340, 1400, 1200, 11844, 263, 6418, 9240, 514, 1070, 19743, 7614, 670, 1716, 807, 630, 21639, 7181, 1070, 772, 3387, 559, 673, 670, 1716, 807, 630, 17987, 7735, 16532, 5549, 29850, 670, 1716, 807, 630, 4611, 689, 606, 1651, 1707, 3738, 616, 519, 1034, 1455, 2010, 540, 1200, 11844, 563, 268, 769, 7666, 1400, 670, 1716, 807, 281, 634, 3824, 340, 1400, 12324, 568, 1336, 538, 707, 9240, 514, 3148, 16638, 2367, 267, 621, 568, 519, 1858, 1141, 519, 14203, 1738, 10260, 10596, 689, 519, 17737, 547, 519, 1085, 8527, 636, 269, 769, 2021, 9240, 514, 3148, 568, 2270, 609, 1082, 28587, 799, 2337, 547, 3180, 19786, 269, 7790, 286, 1607, 1826, 540, 1200, 11844, 568, 1455, 538, 2367, 982, 2021, 563, 268, 19743, 7614, 670, 1716, 807, 281, 769, 713, 1826, 540, 1200, 11844, 1022, 851, 540, 707, 7181, 786, 31732, 26360, 998, 29690, 883, 707, 9221, 269, 19743, 7614, 1200, 11844, 786, 2049, 6140, 1310, 476, 2004, 1296, 2025, 269, 769, 1126, 621, 568, 3361, 676, 4332, 8919, 563, 268, 772, 3387, 559, 673, 670, 1716, 807, 281, 1703, 568, 811, 4960, 547, 2049, 713, 1826, 540, 1200, 11844, 538, 1453, 543, 9002, 896, 476, 277, 3275, 2025, 269, 901, 4523, 950, 741, 16892, 4439, 613, 998, 741, 14159, 3774, 2282, 741, 17987, 7735, 563, 268, 5549, 29850, 670, 1716, 807, 2433, 5549, 29850, 1200, 11844, 786, 2049, 1152, 1310, 606, 14159, 6391, 269, 2271, 32347, 949, 7903, 998, 519, 1651, 1707, 10077, 610, 519, 10450, 563, 23382, 1588, 540, 4887, 267, 8467, 543, 8833, 616, 519, 1292, 2014, 540, 1200, 11844, 269, 18127, 23472, 267, 2085, 267, 5945, 610, 6391, 616, 519, 824, 1455, 3123, 540, 1200, 11844, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6769, 1038, 18007, 267, 8624, 284, 6358, 2891, 11767, 4737, 1299, 897, 910, 272, 267, 273, 610, 476, 274, 281, 834, 1040, 20889, 14052, 1038, 4737, 25507, 27562, 578, 3418, 1038, 897, 25507, 263, 8624, 3418, 1038, 952, 4737, 285, 271, 543, 4737, 283, 275, 543, 897, 285, 271, 543, 897, 283, 275, 543, 711, 29033, 314, 992, 268, 272, 6012, 3712, 268, 272, 316, 2525, 262, 311, 262, 610, 4604, 314, 992, 268, 272, 6012, 3712, 268, 272, 316, 2525, 262, 302, 10807, 2433, 1477, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 2891, 8923, 4283, 513, 4570, 1297, 14744, 825, 4604, 314, 992, 268, 272, 6012, 3712, 268, 272, 24557, 32188, 5897, 3698, 1404, 28399, 825, 585, 1775, 538, 2039, 263, 280, 8029, 1038, 952, 1775, 260, 273, 2525, 271, 6769, 2018, 1820, 3488, 311, 2490, 20298, 2018, 1747, 9638, 272, 338, 3418, 2018, 952, 4465, 9638, 272, 338, 8029, 3546, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 302, 2490, 20298, 2018, 1747, 9638, 273, 338, 3418, 2018, 952, 4465, 9638, 273, 338, 8029, 3546, 2736, 1477, 825, 952, 711, 26028, 517, 9638, 272, 338, 4297, 543, 711, 26028, 517, 9638, 273, 338, 264, 8029, 2018, 1820, 2891, 291, 6938, 310, 14744, 2452, 3890, 0, 258, 901, 3009, 5932, 2947, 1114, 8849, 5121, 543, 23607, 1142, 540, 741, 12644, 538, 1362, 4328, 1688, 2854, 9704, 780, 258, 634, 1739, 9479, 1104, 8021, 454, 5228, 11885, 1104, 4452, 339, 868, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 267, 25065, 1084, 454, 5228, 737, 10327, 269, 583, 2812, 1104, 547, 6831, 1538, 5566, 454, 5228, 737, 10327, 1104, 9271, 454, 5228, 737, 10327, 7456, 16558, 1104, 16511, 958, 21010, 539, 272, 291, 267, 16511, 958, 21010, 539, 273, 291, 267, 1230, 341, 273, 291, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 258, 901, 568, 519, 1292, 9577, 269, 898, 7125, 1142, 540, 519, 8849, 5121, 543, 13602, 519, 3977, 7455, 20193, 849, 3157, 519, 1239, 1305, 269, 3097, 3698, 1292, 10031, 825, 10471, 815, 4452, 339, 868, 3488, 32502, 6745, 1778, 10807, 1363, 1948, 20509, 519, 2866, 13096, 553, 564, 454, 825, 2473, 815, 10471, 18020, 272, 281, 27038, 316, 4449, 567, 1948, 901, 12981, 8637, 519, 3403, 2934, 540, 1142, 8343, 454, 825, 586, 815, 10471, 18020, 271, 281, 272, 316, 4449, 672, 1948, 901, 4971, 8637, 519, 3403, 10297, 540, 1142, 8343, 454, 825, 586, 815, 547, 6831, 1538, 5566, 12169, 264, 4449, 476, 1948, 595, 1538, 528, 3278, 519, 2866, 10297, 672, 3097, 825, 1449, 24512, 815, 4452, 339, 868, 2891, 32502, 6745, 652, 8442, 11434, 1948, 4452, 519, 4530, 13096, 553, 564, 454, 825, 1449, 9078, 8475, 272, 815, 1449, 24512, 18020, 271, 281, 272, 316, 1038, 1948, 901, 12981, 8637, 519, 3403, 10297, 540, 1142, 8343, 454, 825, 1449, 24512, 815, 1449, 24512, 18020, 272, 281, 27038, 316, 11434, 1948, 901, 12981, 8637, 519, 3403, 2934, 540, 1142, 8343, 454, 825, 1449, 9078, 8475, 815, 547, 6831, 1538, 5566, 6025, 652, 9078, 8475, 272, 264, 14030, 476, 1948, 595, 1538, 528, 3278, 519, 2866, 10297, 454, 825, 6111, 318, 821, 815, 6339, 1740, 318, 821, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 672, 1948, 595, 8712, 3060, 835, 454, 825, 6111, 4671, 6851, 815, 6339, 1740, 4671, 6851, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 672, 1948, 595, 8712, 3060, 1079, 454, 825, 6111, 318, 22764, 815, 6339, 1740, 318, 22764, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 1948, 595, 8712, 3060, 1614, 454, 825, 6111, 6958, 712, 815, 6339, 1740, 6958, 712, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 567, 1948, 595, 8712, 3060, 2185, 454, 825, 6111, 6958, 633, 815, 6339, 1740, 6958, 633, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 264, 4449, 567, 1948, 595, 8712, 3060, 2947, 454, 258, 634, 1739, 9479, 605, 1372, 340, 806, 519, 3977, 7455, 454, 825, 512, 815, 5286, 30784, 1052, 263, 271, 1421, 476, 1789, 1421, 476, 272, 264, 14030, 4449, 3097, 825, 12301, 11859, 16932, 2891, 32086, 9210, 5255, 338, 5602, 825, 12301, 269, 29786, 2891, 260, 28557, 2201, 4530, 4578, 5602, 825, 12301, 19502, 6025, 267, 6111, 318, 821, 267, 1412, 337, 3299, 6003, 815, 262, 15187, 1740, 2290, 5073, 825, 12301, 19502, 6025, 267, 6111, 4671, 6851, 267, 1412, 321, 3299, 6003, 815, 262, 15187, 1740, 5565, 5073, 825, 12301, 19502, 6025, 267, 6111, 318, 22764, 267, 1412, 326, 3299, 6003, 815, 262, 15187, 1740, 8422, 5073, 825, 12301, 19502, 6025, 267, 6111, 6958, 712, 267, 1412, 344, 3299, 6003, 815, 262, 15187, 1740, 9050, 5073, 825, 12301, 19502, 6025, 267, 6111, 6958, 633, 267, 1412, 18872, 3299, 6003, 815, 262, 15187, 1740, 12866, 5073, 825, 12301, 269, 5586, 754, 4590, 825, 12301, 20481, 4590, 8931, 258, 901, 1599, 28352, 519, 3060, 609, 3143, 6456, 4494, 454, 3698, 3060, 318, 821, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 318, 821, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 3403, 5091, 574, 284, 16348, 267, 11852, 8782, 11927, 327, 262, 4297, 1038, 1948, 4347, 1149, 513, 4494, 454, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 338, 326, 323, 3299, 14573, 284, 9131, 3147, 5596, 262, 8079, 567, 1948, 3281, 3796, 519, 3060, 454, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 264, 1363, 1948, 3004, 1231, 519, 3060, 454, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 264, 4449, 567, 1948, 9751, 6452, 5596, 568, 6027, 454, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 264, 8587, 1948, 634, 3060, 21023, 338, 519, 3977, 540, 519, 1449, 1239, 1305, 454, 1038, 2953, 815, 271, 454, 258, 4855, 338, 519, 6111, 540, 519, 3060, 585, 1449, 1239, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 318, 821, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 318, 821, 692, 258, 901, 1599, 28352, 519, 3060, 609, 2290, 6456, 4494, 454, 3698, 3060, 4671, 6851, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 4671, 6851, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2203, 14491, 20573, 1619, 263, 1321, 267, 3403, 5091, 574, 284, 16348, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 4671, 6851, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 4671, 6851, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 12725, 4448, 454, 3698, 3060, 318, 22764, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 318, 22764, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 1449, 24512, 284, 1449, 24512, 269, 31412, 6025, 652, 24512, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 5038, 267, 630, 274, 267, 274, 1070, 3403, 318, 27729, 14352, 1626, 267, 476, 1626, 267, 272, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 1626, 267, 630, 276, 267, 276, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 263, 14503, 520, 1084, 15405, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 318, 22764, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 318, 22764, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 267, 12725, 4448, 609, 2597, 4687, 454, 3698, 3060, 6958, 712, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 6958, 712, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 1449, 24512, 284, 1449, 24512, 269, 31412, 6025, 652, 24512, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073, 825, 2203, 14491, 263, 3519, 341, 273, 291, 263, 12553, 267, 263, 274, 267, 274, 1070, 3403, 318, 27729, 14352, 1626, 267, 1626, 267, 272, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 27331, 665, 958, 21010, 539, 273, 291, 263, 1626, 267, 630, 276, 267, 276, 1070, 11852, 8782, 338, 31451, 29125, 825, 2203, 14491, 263, 14503, 520, 1084, 15405, 825, 2203, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 338, 31451, 29125, 825, 2203, 2593, 335, 850, 10857, 1601, 284, 29754, 525, 32557, 5334, 32464, 318, 19587, 267, 5688, 6500, 8782, 611, 600, 3299, 14573, 284, 9131, 3147, 5596, 262, 7481, 825, 1247, 22184, 283, 4029, 912, 1038, 2203, 32265, 11583, 267, 586, 267, 22184, 338, 284, 788, 5255, 267, 16801, 15481, 284, 1015, 994, 1038, 9041, 267, 6111, 815, 2203, 4318, 1998, 10663, 11583, 267, 586, 994, 1038, 11236, 815, 2203, 4877, 9438, 318, 5035, 525, 6025, 652, 24512, 994, 1038, 2953, 815, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 9438, 687, 15892, 2018, 952, 11236, 5157, 316, 2525, 11687, 9078, 8475, 272, 5157, 14158, 3546, 2953, 6834, 272, 454, 2018, 3116, 912, 3546, 1780, 454, 1038, 6111, 815, 1911, 2608, 2953, 270, 6352, 9638, 9438, 687, 994, 1038, 6111, 6958, 712, 6910, 263, 3147, 5596, 994, 1038, 22184, 6834, 272, 454, 825, 2132, 6111, 6958, 712, 692, 258, 901, 1599, 28352, 519, 3060, 609, 5565, 6456, 6106, 267, 12725, 4448, 267, 1079, 2157, 540, 2597, 4687, 454, 3698, 3060, 6958, 633, 11583, 11971, 267, 11687, 9078, 8475, 272, 267, 11687, 24512, 2187, 825, 6111, 6958, 633, 267, 22184, 815, 314, 3910, 272, 454, 825, 2203, 815, 14938, 1113, 4590, 825, 2473, 284, 2473, 269, 31412, 11583, 17482, 314, 271, 3910, 476, 1626, 267, 476, 1626, 267, 272, 1040, 770, 4286, 3488, 15615, 3953, 5073 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 10387, 1176, 32591, 2023, 454, 258, 4596, 17092, 476, 14596, 454, 258, 23911, 3009, 547, 1711, 476, 273, 4351, 476, 273, 291, 14249, 543, 9062, 873, 476, 7531, 5228, 4351, 1104, 6079, 454, 5228, 4351, 1104, 28219, 842, 692, 2745, 4590, 2745, 10797, 9795, 815, 11713, 337, 815, 476, 276, 454, 322, 815, 476, 276, 692, 1721, 1775, 538, 2039, 16868, 2187, 825, 2855, 815, 11713, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 1871, 272, 815, 28219, 842, 263, 271, 267, 1911, 994, 1038, 2855, 6910, 263, 7407, 272, 994, 825, 5119, 6910, 19906, 994, 8931, 2745, 2891, 9795, 476, 272, 8442, 22322, 1721, 1775, 538, 2039, 16868, 2187, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 1820, 263, 9795, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2745, 630, 2020, 9795, 273, 815, 11713, 337, 273, 815, 678, 454, 322, 273, 815, 524, 692, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 2855, 273, 815, 11713, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1871, 272, 815, 28219, 842, 263, 271, 267, 1911, 994, 1038, 2855, 273, 6910, 263, 7407, 272, 994, 825, 5119, 273, 6910, 19906, 273, 994, 8931, 2745, 2891, 9795, 476, 273, 8442, 22322, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1820, 263, 9795, 273, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2908, 30467, 815, 11713, 1721, 1775, 538, 2039, 16868, 2187, 825, 1617, 815, 11713, 825, 585, 795, 538, 2039, 6262, 2187, 1038, 15254, 272, 815, 703, 263, 9795, 5157, 6012, 329, 7481, 1038, 15254, 273, 815, 703, 263, 9795, 273, 14728, 6012, 328, 7481, 1038, 15254, 274, 815, 15254, 272, 265, 12534, 273, 454, 1038, 1617, 6910, 263, 12534, 274, 994, 825, 1007, 30467, 6910, 9852, 738, 2020, 2745, 4590, 2745, 2891, 20123, 328, 680, 1221, 1319, 878, 625, 8442, 22322, 1721, 1775, 538, 2039, 16868, 273, 2187, 825, 585, 795, 538, 2039, 6262, 273, 2187, 1038, 1820, 28956, 30467, 5157, 6012, 329, 3910, 1439, 815, 834, 19515, 825, 1820, 10797, 2745, 3890, 825, 454, 0, 28495, 580, 2784, 657, 815, 703, 9272, 2891, 28808, 516, 572, 17485, 5552, 657, 22966, 857, 639, 24097, 333, 8442, 2020, 4910, 738, 5964, 815, 10581, 18154, 550, 580, 2784, 657, 265, 280, 270, 276, 264, 1341, 476, 3953, 692, 2745, 2891, 299, 657, 5552, 657, 674, 13873, 15241, 5067, 281, 834, 1341, 1193, 263, 4910, 738, 5964, 4297, 0, 5228, 31287, 1104, 31287, 454, 655, 1943, 2465, 272, 815, 31287, 2891, 332, 1695, 332, 797, 2580, 476, 2767, 267, 834, 17359, 23637, 1821, 331, 641, 618, 645, 2393, 322, 2086, 2580, 8771, 994, 655, 1943, 2465, 273, 815, 31287, 2891, 299, 599, 628, 2580, 476, 1789, 2073, 834, 294, 22003, 2580, 6936, 2020, 2745, 9497, 32715, 2465, 8745, 2580, 655, 1943, 2465, 272, 20508, 267, 834, 32715, 2465, 2085, 2580, 655, 1943, 2465, 272, 269, 720, 267, 834, 32715, 2465, 4972, 2580, 655, 1943, 2465, 272, 6155, 788, 3477, 267, 834, 529, 15440, 286, 2580, 655, 1943, 2465, 272, 18994, 318, 2006, 4526, 2020, 2745, 9497, 32715, 2465, 8745, 2580, 655, 1943, 2465, 273, 20508, 267, 834, 32715, 2465, 2085, 2580, 655, 1943, 2465, 273, 269, 720, 267, 834, 32715, 2465, 4972, 2580, 655, 1943, 2465, 273, 6155, 788, 3477, 267, 834, 529, 15440, 286, 2580, 655, 1943, 2465, 273, 18994, 318, 2006, 4526, 994, 0, 258, 5442, 22552, 10813, 5746, 2177, 2464, 912, 258, 4856, 2958, 597, 3288, 2936, 24265, 1642, 3473, 528, 527, 15879, 632, 21482, 1938, 692, 258, 476, 272, 11607, 12456, 657, 1130, 2803, 538, 2772, 525, 454, 2745, 2891, 11749, 2803, 538, 2772, 525, 5602, 288, 815, 476, 17734, 454, 289, 815, 476, 4572, 454, 2745, 10490, 994, 2745, 16360, 994, 258, 476, 273, 11607, 595, 545, 5979, 1642, 3473, 528, 527, 15879, 454, 1721, 1775, 538, 2039, 263, 276, 2187, 476, 1820, 2891, 296, 614, 24265, 834, 1341, 1193, 9217, 4917, 476, 681, 815, 589, 4939, 645, 454, 476, 1820, 2891, 305, 815, 834, 1341, 1193, 27562, 11723, 476, 589, 815, 645, 454, 476, 645, 815, 681, 454, 476, 1820, 2891, 288, 815, 834, 1341, 1193, 10490, 4917, 476, 1820, 2891, 289, 815, 834, 1341, 1193, 16360, 4917, 258, 28088, 15606, 630, 553, 793, 541, 1714, 1267, 5964, 1642, 631, 5861, 6185, 269, 513, 3288, 4756, 631, 994, 2745, 2891, 14976, 631, 5861, 6185, 269, 1965, 815, 834, 1341, 1193, 29687, 4917, 0, 258, 290, 3918, 12442, 815, 595, 6020, 2752, 570, 5723, 5085, 288, 454, 258, 27486, 12224, 815, 5442, 306, 2207, 7644, 454, 258, 308, 11520, 12442, 815, 11083, 308, 3201, 22003, 2752, 454, 258, 14701, 4041, 15288, 815, 16692, 4041, 307, 2752, 454, 258, 10345, 22268, 815, 11550, 290, 7838, 2752, 8528, 5814, 13483, 29411, 274, 692, 258, 1366, 9339, 268, 288, 12702, 296, 661, 4041, 5442, 2975, 8656, 589, 595, 6020, 288, 383, 485, 12728, 302, 11298, 645, 3198, 4596, 16692, 667, 4696, 5308, 31909, 302, 661, 4041, 715, 12728, 302, 12327, 8780, 288, 8206, 256, 1366, 9339, 268, 16482, 28947, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 19387, 815, 4276, 269, 19387, 4590, 338, 27942, 272, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 7548, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 13376, 2012, 570, 28692, 10691, 715, 26097, 2676, 13376, 524, 335, 325, 570, 28692, 10691, 715, 26097, 2676, 13376, 8977, 3512, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 272, 994, 28947, 2593, 2466, 10797, 338, 27942, 273, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 620, 684, 334, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 672, 2012, 570, 28692, 10691, 715, 26097, 2676, 4449, 672, 524, 335, 325, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 273, 994, 28947, 2593, 2466, 10797, 338, 27942, 274, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 5676, 2088, 630, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 1363, 2012, 570, 28692, 10691, 715, 26097, 2676, 4449, 1363, 13798, 318, 4134, 4184, 2088, 570, 28692, 10691, 715, 26097, 264, 18411, 19387, 20216, 31146, 4433, 27942, 274, 994, 28947, 2593, 2466, 10797, 338, 27942, 275, 815, 23288, 290, 3918, 12442, 570, 21764, 17692, 10691, 12327, 3041, 4811, 2881, 2742, 263, 573, 21850, 9680, 2207, 10691, 715, 26097, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 2676, 4449, 567, 13798, 4671, 584, 2742, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 1974, 334, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 13798, 318, 4134, 4184, 2088, 570, 28692, 10691, 715, 26097, 2676, 4449, 567, 524, 335, 325, 318, 2889, 13940, 528, 570, 28692, 2676, 4449, 567, 524, 335, 325, 318, 531, 684, 334, 570, 28692, 264, 18411, 19387, 20216, 31146, 4433, 27942, 275, 994, 28947, 2593, 2466, 10797, 28947, 25379, 10797, 5035, 7905, 263, 2567, 8528, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 8073, 318, 2889, 13940, 528, 4311, 267, 2012, 267, 524, 335, 325, 267, 8257, 2187, 1038, 1582, 20508, 815, 2012, 269, 21639, 4590, 1038, 1582, 6983, 335, 325, 815, 524, 335, 325, 454, 1038, 1582, 6155, 788, 3477, 815, 8257, 269, 21639, 10797, 1038, 1219, 8890, 10045, 4311, 2187, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 7548, 7055, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 269, 992, 1496, 273, 316, 2652, 1582, 6983, 335, 325, 2187, 7386, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 7386, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 7548, 630, 4067, 267, 524, 335, 325, 267, 8977, 3512, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 267, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 335, 325, 267, 1582, 6155, 788, 3477, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 4449, 17264, 692, 1038, 8890, 10045, 4311, 2020, 16875, 1948, 12239, 288, 674, 7419, 383, 485, 12728, 302, 16843, 383, 479, 590, 2207, 11555, 2316, 305, 4696, 288, 692, 1363, 692, 5035, 1325, 684, 334, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 1219, 8073, 318, 531, 684, 334, 4311, 267, 2012, 267, 524, 335, 325, 2187, 1038, 1582, 20508, 815, 2012, 269, 21639, 4590, 1038, 1582, 6983, 335, 325, 815, 524, 335, 325, 692, 1038, 1219, 8890, 10045, 10031, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 620, 684, 334, 7055, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 6983, 335, 325, 2652, 1582, 269, 992, 314, 273, 316, 2187, 4449, 567, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 4449, 567, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 620, 684, 334, 630, 4067, 267, 524, 335, 325, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 335, 325, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 13872, 1038, 8890, 10045, 10797, 692, 5035, 2598, 4184, 2088, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 22562, 825, 1219, 8073, 318, 4134, 4184, 2088, 4311, 267, 2012, 267, 13798, 2187, 1038, 1582, 6983, 617, 815, 13798, 454, 1038, 1582, 20508, 815, 2012, 269, 21639, 10797, 1038, 1219, 8890, 10045, 10031, 2018, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 3488, 10135, 11070, 6155, 321, 5073, 2018, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 4590, 2018, 1582, 4732, 27942, 815, 1412, 10345, 22268, 2608, 20978, 5676, 2088, 1412, 454, 2018, 1582, 26769, 1288, 318, 5417, 815, 6936, 692, 2018, 585, 1582, 269, 992, 538, 1582, 269, 19387, 20216, 31146, 4311, 4732, 27942, 2187, 3546, 952, 630, 1345, 6983, 617, 2652, 1582, 269, 992, 314, 273, 316, 610, 1582, 20508, 2652, 1582, 269, 992, 314, 272, 316, 2187, 4449, 567, 1582, 26769, 1288, 318, 5417, 815, 8771, 454, 4449, 567, 2736, 454, 27030, 2018, 952, 630, 1345, 26769, 1288, 318, 5417, 2652, 6936, 2187, 3546, 1582, 269, 19387, 20216, 31146, 3488, 5257, 27486, 12224, 5442, 15674, 5676, 2088, 630, 4067, 267, 13798, 318, 4134, 4184, 2088, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 264, 18257, 2676, 14030, 630, 1345, 20508, 267, 1582, 6983, 617, 4917, 3546, 1582, 26769, 3825, 2593, 2466, 4590, 3546, 1582, 26769, 3825, 25379, 4590, 13872, 1038, 8890, 10045, 4590, 672, 19638, 5035, 5695, 2742, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 13798, 4671, 584, 2742, 267, 1974, 334, 267, 13798, 318, 4134, 4184, 2088, 2187, 1038, 1582, 6983, 617, 4671, 584, 2742, 815, 13798, 4671, 584, 2742, 454, 1038, 1582, 269, 704, 1675, 334, 815, 1974, 334, 454, 1038, 1582, 6983, 617, 318, 4134, 4184, 2088, 815, 13798, 318, 4134, 4184, 2088, 28329, 8931, 825, 1219, 8073, 4311, 2187, 1038, 1780, 22562, 825, 1219, 3367, 4311, 2187, 1038, 1780, 454, 672, 692, 825, 1219, 22352, 4311, 2187, 1038, 1780, 692, 825, 1219, 1546, 8541, 4311, 2187, 1038, 1780, 692, 18411, 20694, 663, 516, 815, 1325, 684, 334, 4590, 20694, 663, 516, 269, 5719, 8541, 318, 531, 684, 334, 3488, 11277, 10807, 18257, 0, 548, 14285, 6359, 323, 284, 24834, 9272, 2891, 613, 1030, 14247, 682, 14285, 6359, 323, 281, 27328, 335, 5684, 334, 677, 14352 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5728, 687, 267, 865, 519, 3621, 2146, 16143, 602, 15679, 293, 729, 1271, 267, 855, 649, 4769, 1406, 917, 1946, 2223, 918, 1177, 752, 9564, 1767, 563, 16281, 293, 2090, 1185, 1044, 3908, 676, 1896, 2188, 936, 519, 1296, 267, 646, 3773, 267, 1519, 519, 17418, 547, 2203, 15679, 293, 4205, 538, 8983, 269, 769, 1840, 267, 918, 1177, 752, 9564, 1767, 5821, 547, 2697, 519, 15679, 293, 13805, 849, 30281, 3356, 563, 17606, 779, 1360, 267, 1360, 8966, 585, 1082, 1296, 547, 1780, 1063, 519, 6602, 540, 513, 11140, 543, 519, 8446, 540, 922, 13805, 2223, 646, 1767, 269, 968, 1103, 713, 2013, 267, 476, 1428, 1296, 1185, 5293, 269, 9453, 519, 13805, 267, 649, 7948, 1406, 1174, 519, 1909, 540, 713, 3940, 538, 10447, 543, 11959, 2223, 646, 1767, 563, 298, 1177, 752, 9564, 543, 1010, 2319, 941, 519, 1101, 547, 4194, 713, 9814, 538, 476, 1220, 278, 4534, 7114, 513, 15410, 540, 16384, 292, 543, 16384, 294, 6675, 607, 15679, 293, 13364, 269, 901, 1344, 5795, 1010, 1895, 519, 2565, 7508, 4062, 540, 519, 15679, 293, 11015, 543, 13087, 519, 3173, 547, 4786, 15679, 293, 779, 1909, 538, 14711, 11852, 563, 763, 1353, 814, 1044, 5063, 3370, 2228, 538, 519, 4750, 540, 11916, 27148, 269, 0, 16085, 7428, 7615, 267, 11908, 267, 7330, 2008, 23277, 582, 1729, 281, 834, 8489, 1548, 781, 19171, 547, 2659, 9839, 12846, 25198, 257, 2008, 19613, 538, 20306, 532, 5069, 6019, 543, 519, 1533, 540, 11908, 454, 27242, 26302, 1475, 289, 691, 517, 25548, 9007, 2008, 27242, 11192, 1475, 273, 269, 272, 13483, 11465, 630, 273, 269, 272, 5998, 273, 10245, 27242, 8092, 1475, 273, 269, 272, 13483, 11465, 630, 273, 269, 272, 5998, 273, 10245, 27242, 4826, 1475, 271, 269, 271, 13483, 11465, 630, 271, 5998, 273, 10245, 347, 292, 4582, 566, 1475, 8064, 10264, 630, 2190, 544, 10245, 27242, 25670, 1475, 5952, 275, 269, 274, 4882, 336, 11465, 630, 5952, 275, 269, 274, 270, 14790, 273, 10245, 347, 11742, 7997, 1475, 12239, 630, 7473, 290, 268, 276, 10245, 27242, 14400, 630, 291, 4306, 10534, 3633, 307, 630, 7473, 290, 268, 275, 10245, 347, 294, 301, 3041, 4183, 9517, 1475, 30033, 20542, 278, 2008, 347, 2171, 2125, 924, 1475, 30949, 540, 11354, 7615, 11908, 2008, 347, 1607, 2376, 2115, 3606, 14327, 585, 19027, 269, 630, 20809, 476, 1220, 279, 10245, 306, 7428, 7615, 568, 519, 10160, 540, 2229, 585, 20306, 532, 5069, 6019, 269, 661, 321, 2940, 10045, 729, 519, 10315, 10160, 689, 476, 9692, 278, 547, 476, 9692, 280, 269, 769, 476, 9692, 280, 267, 20306, 532, 5069, 6019, 1185, 1614, 1114, 10315, 16295, 269, 634, 1533, 23328, 12912, 513, 10243, 547, 2824, 513, 1007, 31344, 958, 4092, 3135, 585, 519, 8628, 10315, 10160, 269, 589, 4087, 2947, 5195, 689, 519, 4099, 540, 519, 10315, 729, 6074, 543, 3957, 11354, 7615, 267, 585, 519, 24873, 540, 4937, 6424, 2349, 4169, 515, 541, 563, 763, 10315, 2229, 23500, 519, 1007, 4884, 267, 543, 11280, 10754, 267, 6266, 267, 543, 519, 1857, 10945, 602, 941, 547, 581, 1031, 585, 519, 1330, 628, 1787, 543, 519, 21569, 269, 634, 6266, 941, 4421, 547, 8804, 519, 4070, 540, 891, 1857, 5656, 269, 589, 4786, 6537, 538, 476, 9264, 272, 2982, 2185, 5087, 1700, 338, 1926, 10754, 543, 8370, 7532, 1700, 8054, 10754, 269, 4886, 540, 519, 1007, 10315, 10160, 729, 3500, 267, 607, 621, 729, 9678, 689, 22232, 11507, 540, 4123, 269, 2311, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 621, 729, 7396, 607, 2348, 1152, 827, 12964, 8075, 563, 288, 476, 5002, 278, 4786, 4951, 519, 16456, 1185, 2097, 547, 4884, 267, 606, 791, 28127, 585, 2208, 269, 9050, 1007, 7532, 1700, 8054, 10754, 1185, 1044, 3773, 267, 607, 1134, 607, 1896, 1007, 5087, 1700, 338, 1926, 10754, 269, 901, 1974, 4718, 519, 6574, 2208, 538, 11354, 7615, 269, 634, 5696, 8657, 21805, 689, 14205, 20087, 729, 3710, 827, 476, 5002, 278, 267, 607, 729, 519, 6723, 631, 269, 5696, 8657, 27517, 17524, 269, 769, 476, 5002, 279, 519, 1459, 6019, 3938, 628, 1787, 729, 9112, 269, 769, 519, 8717, 689, 476, 5002, 271, 547, 476, 4489, 271, 267, 519, 2551, 540, 11354, 7615, 2799, 547, 476, 4335, 689, 476, 16328, 563, 9961, 519, 476, 866, 628, 268, 543, 2038, 476, 736, 628, 10601, 3162, 267, 519, 1330, 628, 1787, 4009, 6039, 607, 519, 13540, 540, 4884, 2534, 543, 519, 19671, 1472, 799, 519, 2146, 729, 9709, 269, 634, 1330, 628, 1787, 729, 2356, 11303, 676, 1857, 2230, 610, 676, 513, 4009, 269, 670, 11817, 7153, 593, 519, 535, 2590, 525, 540, 519, 4009, 267, 543, 2208, 1131, 2356, 2234, 5573, 689, 519, 1330, 628, 1787, 267, 3384, 513, 4009, 4884, 1544, 269, 11354, 7615, 814, 1806, 540, 971, 1646, 267, 855, 1454, 2038, 6189, 729, 4503, 1813, 547, 513, 3126, 540, 11642, 689, 519, 3735, 476, 866, 628, 2540, 998, 519, 476, 3422, 271, 338, 269, 11354, 7615, 781, 476, 5002, 279, 1330, 628, 1787, 267, 2966, 538, 519, 8106, 5259, 2511, 607, 513, 3090, 540, 14081, 534, 2229, 267, 568, 606, 1383, 540, 519, 1330, 628, 1787, 607, 4884, 19671, 563, 4263, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 519, 20306, 532, 5069, 6019, 3938, 628, 1787, 729, 513, 1079, 3613, 800, 7406, 2679, 6849, 7216, 9335, 269, 634, 2539, 6989, 8659, 519, 5480, 4055, 543, 513, 1906, 13646, 269, 634, 2034, 6989, 6039, 607, 519, 808, 1722, 18740, 269, 769, 476, 5002, 279, 267, 519, 1459, 1330, 628, 1787, 729, 3710, 267, 2966, 676, 14205, 20087, 4056, 5754, 2006, 654, 269, 31864, 16225, 269, 769, 476, 3192, 280, 606, 24509, 729, 3773, 585, 3606, 2230, 269, 634, 1330, 628, 1787, 1185, 1831, 811, 982, 513, 2679, 538, 799, 547, 5873, 3656, 2665, 269, 6019, 1870, 9450, 8506, 2230, 585, 13646, 971, 607, 519, 12525, 8178, 528, 267, 519, 12525, 11814, 528, 267, 543, 519, 6019, 8189, 619, 269, 4746, 4092, 538, 519, 1330, 628, 1787, 729, 519, 11525, 622, 7040, 267, 799, 13950, 786, 338, 543, 1449, 14613, 543, 6743, 1310, 610, 874, 753, 543, 11097, 3298, 269, 634, 7395, 626, 3433, 781, 7040, 799, 12199, 593, 1312, 7803, 543, 3540, 2665, 563, 306, 7428, 7615, 4810, 922, 2101, 10821, 2208, 1472, 476, 4489, 271, 269, 4438, 602, 1974, 267, 519, 11265, 6752, 538, 8075, 729, 13346, 689, 519, 14969, 543, 3810, 2143, 16972, 2511, 547, 519, 12863, 8551, 543, 27207, 610, 645, 25193, 578, 269, 634, 5354, 540, 11354, 7615, 781, 8978, 5321, 2992, 713, 2663, 536, 25193, 578, 2511, 269, 901, 27139, 6752, 568, 1419, 5219, 547, 607, 28477, 16972, 269, 898, 568, 25992, 676, 519, 946, 540, 32605, 960, 1472, 552, 2314, 543, 11188, 2583, 267, 16560, 11188, 577, 7028, 267, 4806, 539, 30133, 538, 519, 575, 1963, 543, 2582, 1790, 534, 539, 267, 5595, 3620, 2426, 9486, 563, 763, 8075, 941, 9862, 547, 9381, 11908, 781, 3636, 1604, 269, 4107, 8075, 941, 3710, 593, 6659, 13210, 267, 547, 9101, 3002, 8375, 689, 519, 2666, 543, 1450, 585, 14910, 547, 2569, 14927, 1145, 543, 9044, 269, 8837, 941, 21825, 5116, 547, 1683, 3444, 14910, 543, 547, 7001, 3579, 10543, 30089, 269, 634, 27105, 552, 2314, 543, 11188, 2583, 2149, 519, 9703, 689, 1463, 3141, 267, 4227, 519, 10338, 540, 3002, 267, 543, 849, 1683, 606, 9205, 2713, 1858, 563, 1103, 10262, 2609, 540, 1164, 2781, 559, 902, 543, 5595, 3620, 2426, 9486, 5280, 609, 9023, 269, 2201, 3636, 2395, 519, 5580, 6885, 521, 1662, 1223, 581, 22485, 547, 1450, 519, 3905, 2011, 547, 9101, 267, 1247, 3579, 2011, 729, 6537, 538, 519, 6659, 2539, 6885, 521, 1662, 269, 1452, 2609, 13745, 609, 5394, 29147, 6821, 547, 1711, 513, 6899, 1604, 563, 5194, 9381, 2783, 568, 5230, 4764, 269, 4475, 267, 1034, 22908, 616, 14869, 569, 8486, 3481, 547, 2087, 8122, 12775, 269, 3509, 540, 519, 8978, 22908, 616, 4496, 267, 547, 8774, 4764, 543, 547, 2061, 519, 3262, 540, 3595, 689, 835, 2497, 547, 519, 1985, 269, 1306, 11354, 7615, 729, 13840, 513, 4718, 17524, 4884, 267, 3362, 3015, 29421, 8329, 547, 519, 2392, 7631, 766, 540, 11308, 7406, 8075, 269, 634, 5354, 540, 519, 8978, 5321, 941, 9112, 1354, 519, 18914, 267, 865, 789, 1705, 711, 723, 1286, 7964, 610, 6095, 1137, 563, 306, 7428, 7615, 568, 4092, 693, 630, 3953, 269, 3607, 279, 13301, 267, 910, 10037, 269, 20542, 13923, 1916, 6097, 547, 519, 2136, 2276, 17227, 13163, 267, 519, 2749, 814, 513, 2698, 1858, 540, 476, 273, 269, 272, 4009, 5195, 630, 276, 269, 275, 5998, 273, 1070, 782, 540, 621, 2244, 563, 2026, 540, 519, 14829, 540, 476, 1220, 271, 267, 972, 941, 476, 272, 267, 279, 2641, 1004, 267, 476, 277, 3451, 10820, 267, 543, 476, 28526, 3885, 23493, 538, 519, 2749, 269, 634, 2551, 5860, 729, 476, 5952, 275, 269, 274, 1004, 829, 4009, 13304, 630, 20065, 269, 272, 270, 14790, 11054, 1040, 1703, 941, 476, 3583, 275, 8027, 4559, 693, 606, 3328, 5860, 540, 476, 20065, 269, 274, 829, 4009, 13304, 630, 14096, 269, 277, 270, 14790, 11054, 1040, 634, 7292, 17539, 540, 519, 2749, 729, 476, 10602, 269, 2764, 260, 6519, 267, 476, 2420, 269, 1724, 260, 3979, 1977, 267, 476, 271, 269, 4343, 260, 7111, 1977, 267, 476, 271, 269, 4962, 260, 7489, 267, 476, 271, 269, 1556, 260, 7414, 29474, 267, 476, 271, 269, 6507, 260, 689, 824, 14797, 267, 543, 476, 271, 269, 2767, 260, 689, 1079, 610, 811, 14797, 269, 17104, 610, 21337, 540, 1022, 5198, 941, 476, 273, 269, 6734, 260, 540, 519, 2551, 563, 2467, 941, 476, 277, 3451, 10820, 856, 540, 799, 476, 3607, 269, 273, 260, 1185, 1453, 896, 519, 2085, 540, 476, 1240, 2713, 609, 873, 267, 476, 7906, 269, 271, 260, 941, 9310, 15185, 2713, 1927, 267, 476, 1704, 269, 275, 260, 1185, 513, 4775, 7622, 518, 609, 1100, 9393, 1459, 267, 543, 476, 2764, 269, 274, 260, 941, 1875, 1922, 7056, 625, 269, 476, 1839, 269, 277, 260, 540, 782, 10820, 941, 1500, 909, 540, 2043, 543, 476, 1556, 269, 276, 260, 1185, 2576, 2713, 4805, 945, 729, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 3328, 7622, 2450, 729, 476, 273, 269, 4366, 543, 519, 3328, 1920, 2450, 729, 476, 273, 269, 9032, 563, 1103, 519, 2749, 519, 2551, 729, 3262, 856, 609, 476, 2190, 269, 272, 260, 896, 519, 2085, 540, 476, 1240, 267, 476, 280, 269, 278, 260, 689, 476, 1240, 547, 476, 2190, 267, 476, 1789, 269, 273, 260, 689, 476, 1839, 547, 476, 4510, 267, 476, 1240, 269, 280, 260, 689, 476, 3393, 547, 476, 5038, 267, 543, 476, 1704, 269, 272, 260, 945, 941, 476, 4792, 1296, 540, 2085, 610, 4587, 269, 634, 11667, 2085, 729, 476, 3607, 1296, 269, 1280, 1169, 476, 1911, 8951, 972, 941, 476, 9834, 269, 278, 9038, 269, 1280, 1169, 476, 1911, 8951, 2085, 476, 1240, 543, 936, 267, 972, 941, 476, 11152, 269, 279, 9038, 563, 763, 11667, 4747, 585, 513, 7622, 538, 519, 2749, 729, 1269, 3607, 267, 276, 4510, 267, 543, 519, 11667, 4747, 585, 513, 1920, 729, 1269, 6078, 267, 5881, 272, 269, 631, 2297, 1185, 513, 11667, 4747, 540, 1269, 3374, 267, 6021, 277, 8957, 1269, 1839, 267, 4572, 585, 8951, 269, 634, 829, 21027, 4747, 585, 519, 2749, 729, 1269, 1626, 267, 31982, 269, 6168, 476, 1556, 269, 272, 260, 540, 3885, 543, 476, 1724, 269, 275, 260, 540, 519, 2551, 941, 2630, 519, 6710, 1899, 267, 1519, 476, 1704, 269, 275, 260, 540, 1346, 896, 2085, 476, 1240, 543, 476, 279, 269, 277, 260, 540, 1346, 2085, 476, 4792, 610, 936, 563, 292, 742, 532, 5069, 6019, 3427, 10588, 454, 763, 20306, 532, 5069, 6019, 3427, 10588, 6585, 9344, 840, 17469, 547, 3446, 12964, 267, 602, 5161, 540, 5216, 10026, 3506, 267, 1614, 1647, 3506, 267, 543, 1079, 1164, 3506, 269, 634, 8664, 814, 476, 276, 1556, 2407, 6066, 3610, 543, 936, 476, 280, 267, 271, 4391, 1053, 563, 268, 645, 1633, 5112, 16504, 3427, 454, 268, 661, 321, 2940, 10045, 16504, 3427, 454, 268, 24053, 2023, 16504, 3427, 454, 268, 3057, 869, 16504, 3427, 454, 268, 681, 514, 935, 16504, 3427, 454, 268, 9995, 10830, 16504, 3427, 454, 268, 3162, 20306, 532, 5069, 16504, 3427, 454, 268, 11354, 7615, 16504, 3427, 454, 268, 661, 321, 2940, 10045, 5664, 3427, 454, 268, 20306 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 786, 5490, 883, 519, 1761, 1764, 540, 15345, 1122, 548, 593, 519, 2790, 1072, 267, 1514, 1983, 267, 543, 2228, 3106, 540, 922, 1762, 3593, 3490, 563, 26045, 2657, 20480, 912, 3080, 2460, 547, 2015, 950, 6313, 15345, 1122, 548, 779, 3310, 568, 519, 1761, 1764, 593, 519, 2790, 1134, 5630, 540, 922, 3755, 269, 12056, 538, 7391, 609, 21046, 2228, 666, 16616, 2043, 547, 513, 2647, 2039, 540, 2833, 267, 930, 540, 799, 949, 581, 2942, 610, 5739, 269, 15536, 24830, 267, 18275, 267, 543, 4598, 547, 8763, 1543, 616, 1175, 513, 1906, 1806, 540, 519, 1761, 4220, 3755, 3068, 593, 15345, 1122, 548, 269, 1452, 2833, 666, 723, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 11762, 1315, 2506, 12568, 1299, 26790, 1315, 14740, 543, 5617, 784, 532, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 9556, 2544, 476, 1015, 281, 634, 24090, 995, 2622, 540, 24434, 543, 9540, 24371, 4373, 265, 2608, 2608, 692, 25603, 6341, 543, 5981, 256, 1358, 1312, 723, 2462, 9909, 540, 6679, 909, 741, 1378, 8637, 910, 6341, 6499, 547, 6133, 8949, 19471, 12897, 267, 1247, 5981, 814, 2141, 1044, 13730, 827, 21338, 30158, 269, 1809, 4358, 513, 1870, 3884, 1405, 2653, 282, 972, 616, 1082, 9276, 899, 10519, 267, 5820, 267, 2645, 267, 543, 9441, 23269, 269, 2334, 779, 1141, 8492, 2097, 538, 13561, 2439, 289, 3471, 616, 2027, 4025, 602, 3180, 1004, 781, 2724, 543, 948, 873, 4383, 621, 20617, 269, 9894, 596, 917, 602, 8492, 666, 849, 1489, 1507, 4213, 1572, 590, 10933, 338, 630, 22102, 543, 23839, 9373, 1440, 2478, 264, 547, 1332, 286, 1452, 590, 10933, 338, 3565, 3648, 547, 938, 2197, 781, 4346, 269, 1717, 267, 3006, 3478, 513, 10211, 666, 581, 4101, 585, 873, 269, 2913, 781, 3605, 875, 8492, 543, 590, 10933, 338, 960, 1927, 543, 1451, 930, 3579, 1007, 2035, 2059, 519, 1259, 2439, 1262, 4089, 476, 272, 281, 8490, 16200, 22627, 4373, 5331, 952, 1169, 942, 596, 4941, 1945, 6653, 267, 596, 1185, 547, 979, 547, 1114, 536, 6033, 625, 1472, 4884, 1175, 1317, 789, 4769, 1405, 3972, 1142, 824, 269, 16319, 9688, 532, 267, 1318, 286, 3767, 5372, 1346, 536, 6033, 625, 609, 8492, 543, 4952, 2348, 547, 6467, 1063, 2789, 8492, 585, 1585, 2533, 269, 3502, 1187, 693, 782, 2439, 6546, 779, 1946, 2679, 2178, 4296, 1063, 8492, 543, 590, 10933, 338, 568, 1898, 269, 1879, 513, 4871, 6238, 2324, 609, 513, 2754, 2038, 593, 267, 789, 1174, 922, 3853, 267, 6075, 3490, 267, 1256, 519, 1297, 540, 5520, 269, 6056, 540, 713, 2078, 899, 1655, 2828, 4687, 11580, 1107, 855, 3079, 540, 11580, 267, 621, 781, 1344, 827, 519, 1870, 256, 1635, 6616, 811, 827, 519, 590, 10933, 267, 8492, 666, 2709, 1732, 9388, 543, 2472, 14018, 4481, 547, 741, 2115, 780, 2690, 1383, 267, 950, 6341, 16976, 547, 1930, 1200, 23739, 4558, 267, 1352, 23297, 513, 2199, 4871, 1352, 7959, 6899, 609, 269, 3683, 942, 267, 519, 4871, 17358, 6341, 781, 1870, 2203, 267, 1200, 27606, 267, 543, 2591, 269, 1924, 267, 8164, 6341, 11394, 2883, 6351, 267, 971, 607, 9750, 1200, 6300, 610, 9140, 1007, 3937, 267, 519, 4871, 786, 581, 5432, 609, 1200, 3510, 543, 1683, 5363, 3435, 3533, 780, 1262, 4089, 476, 273, 281, 28518, 15894, 10290, 1465, 4373, 3086, 1577, 781, 2911, 827, 1018, 2306, 2576, 14718, 585, 513, 10211, 269, 2290, 1883, 3815, 568, 17258, 267, 799, 1797, 6029, 5539, 2509, 23231, 906, 269, 3807, 899, 3610, 2638, 707, 6780, 1354, 4758, 596, 513, 1449, 267, 8492, 1413, 883, 707, 2250, 8852, 267, 1634, 607, 707, 968, 920, 9016, 1686, 2223, 547, 1294, 2436, 596, 4312, 6976, 1394, 3105, 12029, 29367, 269, 1403, 865, 267, 789, 2015, 596, 5491, 18976, 2439, 4913, 267, 10442, 5491, 10290, 1465, 666, 1831, 16602, 950, 7231, 609, 1007, 4213, 899, 5981, 781, 11332, 7816, 6300, 2094, 789, 1522, 711, 723, 1454, 5491, 1686, 2943, 269, 1677, 10994, 713, 3390, 267, 8492, 991, 547, 1589, 21176, 543, 1020, 4244, 2409, 540, 12570, 1981, 543, 1761, 1967, 269, 12344, 789, 1223, 4983, 2147, 3964, 4213, 610, 2263, 2189, 4485, 547, 2327, 3743, 23831, 3664, 780, 3528, 1620, 891, 2035, 267, 649, 8275, 875, 4105, 8492, 616, 538, 4543, 590, 10933, 338, 8853, 269, 1656, 3314, 267, 14693, 9358, 949, 2196, 707, 1360, 1378, 590, 10933, 1932, 256, 13773, 22934, 607, 649, 3136, 3695, 4241, 3344, 540, 8492, 543, 3059, 12948, 2429, 713, 9074, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2691, 621, 2501, 547, 519, 2804, 2208, 540, 938, 2197, 267, 590, 10933, 338, 1404, 606, 1271, 1909, 538, 621, 269, 9747, 267, 891, 4213, 1590, 581, 3144, 1416, 540, 676, 741, 18083, 269, 590, 10933, 338, 849, 1404, 606, 1271, 1909, 538, 1373, 835, 540, 519, 1034, 10121, 5561, 540, 519, 12948, 5823, 269, 4634, 1498, 789, 616, 1271, 267, 590, 10933, 338, 1205, 12029, 609, 1390, 7411, 269, 589, 4871, 1058, 581, 2111, 547, 1265, 5499, 2081, 538, 799, 621, 666, 22937, 590, 10933, 338, 563, 30395, 20556, 609, 590, 10933, 338, 7216, 454, 306, 10933, 338, 1745, 6899, 543, 2356, 6529, 609, 519, 8492, 789, 2907, 723, 606, 2272, 609, 269, 1306, 741, 1870, 9428, 267, 789, 2119, 547, 1847, 547, 1776, 4871, 799, 666, 1711, 513, 1966, 269, 24434, 1058, 2119, 547, 1628, 3347, 609, 891, 3549, 607, 2038, 607, 2009, 269, 898, 568, 4443, 585, 519, 8492, 547, 1832, 513, 3950, 540, 741, 5491, 12773, 267, 519, 3077, 5304, 267, 519, 1297, 540, 5520, 267, 3092, 269, 901, 849, 2337, 519, 4871, 547, 8597, 547, 1978, 2127, 538, 799, 519, 590, 10933, 338, 616, 2519, 593, 563, 305, 1168, 1251, 593, 519, 28946, 2225, 540, 519, 645, 6563, 518, 454, 763, 8492, 2356, 1445, 593, 519, 5491, 12773, 540, 519, 10210, 518, 1759, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 24434, 1299, 30914, 1315, 7913, 30914, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 5122, 11443, 543, 8060, 1369, 519, 2796, 540, 2203, 16456, 532, 267, 5373, 4296, 547, 3140, 2853, 1247, 6220, 2413, 7760, 543, 2553, 269, 3414, 3695, 1585, 3344, 540, 2203, 16456, 5547, 787, 267, 649, 786, 3986, 938, 1620, 540, 6626, 3741, 10858, 547, 3875, 12348, 543, 4610, 780, 1262, 296, 269, 9978, 14362, 540, 24542, 543, 27989, 4373, 6524, 11362, 883, 1808, 3156, 538, 2203, 16456, 532, 267, 621, 568, 1898, 547, 3715, 13654, 1702, 827, 5201, 543, 11387, 269, 589, 6806, 8520, 998, 799, 3167, 5279, 666, 2095, 11179, 13054, 606, 5122, 5547, 269, 6206, 3334, 1331, 6453, 630, 19491, 668, 12067, 3196, 1070, 4187, 267, 543, 1699, 269, 7937, 332, 781, 4521, 9598, 919, 602, 1699, 11224, 6453, 5258, 676, 4187, 269, 4197, 891, 17950, 6087, 2500, 1374, 543, 6388, 540, 1852, 1949, 585, 2203, 14884, 780, 1262, 2862, 269, 5295, 4675, 15533, 585, 7844, 3004, 1231, 4373, 20175, 7727, 6460, 20367, 1699, 630, 3722, 264, 610, 1463, 1699, 630, 17584, 264, 689, 7622, 19093, 883, 26729, 28696, 585, 1379, 532, 2203, 5721, 2981, 619, 269, 17992, 619, 2569, 1164, 19581, 5653, 8028, 547, 10930, 2157, 5078, 585, 1970, 19581, 5653, 9823, 16546, 4122, 1031, 538, 744, 3766, 879, 613, 543, 4130, 10253, 269, 7073, 6467, 2173, 1712, 1379, 7727, 2709, 4824, 1648, 4398, 3379, 547, 2757, 5276, 6272, 269, 1358, 849, 1683, 28253, 3977, 6453, 543, 2110, 2275, 1844, 3726, 4027, 2934, 6225, 585, 6946, 29282, 14053, 5730, 1852, 780, 1262, 7656, 269, 6034, 7351, 5288, 7913, 16710, 6513, 4373, 9199, 3431, 267, 2203, 14884, 6964, 2241, 9823, 5179, 1852, 2409, 1141, 8701, 640, 30729, 12012, 4287, 543, 8795, 6453, 6417, 3432, 269, 1717, 267, 3059, 4971, 1852, 630, 291, 6717, 264, 814, 19117, 2203, 16456, 532, 676, 7175, 1367, 2232, 762, 1232, 18344, 13365, 8704, 1369, 21525, 582, 1161, 269, 1452, 1232, 617, 619, 4612, 1239, 21168, 2366, 3842, 519, 986, 2812, 267, 9013, 3252, 899, 8654, 2360, 267, 3280, 267, 543, 10231, 10446, 269, 901, 1377, 540, 30704, 640, 20546, 525, 1018, 1223, 581, 6913, 1210, 6671, 12746, 2409, 780, 1262, 4353, 269, 16530, 9828, 543, 7454, 13756, 4373, 19187, 5911, 2359, 5849, 6325, 5106, 543, 29776, 30076, 950, 2152, 8451, 269, 22982, 18843, 539, 7601, 5911, 3079, 540, 4396, 4295, 1813, 547, 922, 8112, 543, 15006, 269, 3828, 626, 2789, 18364, 8424, 1927, 547, 11574, 13590, 13779, 269, 14146, 1668, 12904, 547, 15814, 1379, 2066, 1804, 29282, 7561, 269, 17115, 8524, 28339, 543, 10943, 823, 2798, 585, 4191, 540, 14809, 610, 3441, 267, 5466, 1022, 4145, 16425, 780, 1262, 309, 269, 7457, 1559, 543, 20233, 719, 31786, 4373, 19741, 4412, 2454, 14884, 1472, 13475, 267, 1134, 27059, 2203, 16749, 1305, 5725, 6451, 1569, 800, 2609, 13324, 3842, 3606, 29650, 4839, 4221, 1055, 1292, 3761, 3515, 269, 5871, 17960, 1331, 8265, 22311, 267, 5365, 8279, 267, 2679, 954, 12542, 267, 543, 15385, 19235, 269, 3962, 3693, 3340, 6297, 7156, 3823, 6453, 6749, 267, 18041, 13369, 267, 543, 17356, 609, 11105, 3457, 269, 6684, 267, 19355, 26149, 10597, 21599, 267, 26089, 3617, 20856, 675, 5542, 267, 17935, 267, 543, 3897, 2719, 1852, 780, 1262, 9654, 269, 11628, 11762, 281, 28290, 543, 3955, 325, 5217, 4373, 20663, 1242, 12957, 2636, 1950, 9696, 547, 14892, 8850, 267, 1863, 532, 12427, 547, 1445, 593, 18399, 2864, 982, 32462, 8261, 4247, 269, 1635, 10128, 29668, 619, 610, 2582, 1532, 13635, 5904, 899, 20798, 610, 30722, 13100, 267, 2688, 20072, 666, 4383, 15202, 267, 23332, 267, 14318, 267, 543, 1256, 29278, 5872, 269, 3958, 267, 17103, 2291, 585, 5007, 2792, 1063, 3631, 543, 21438, 7006, 2255, 7740, 267, 28043, 2168, 10616, 1063, 12439, 29050, 14335, 3838, 10600, 780, 1103, 3932, 267, 13215, 5122, 11443, 543, 8060, 538, 2203, 16456, 532, 7569, 1312, 7811, 8223, 543, 4052, 3498, 540, 4909, 3621, 3741, 269, 1306, 2029, 8441, 267, 865, 1932, 798, 3255, 585, 5647, 1369, 713, 9159, 15908, 269, 6787, 596, 29954, 790, 547, 4739, 23939, 10853, 18187, 553, 610, 7903, 6302, 998, 17634, 267, 11439, 609, 713, 1702, 3490, 267, 707, 3460, 14767, 547, 581, 14785, 543, 24084, 2287, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17138, 281, 8330, 15929, 12267, 267, 2904, 267, 476, 4350, 272, 454, 29394, 281, 16452, 645, 919, 454, 3725, 3161, 4266, 281, 5437, 476, 2537, 267, 476, 1220, 280, 1496, 324, 9349, 1948, 25134, 3953, 2639, 7197, 5063, 8242, 281, 5181, 476, 1015, 267, 476, 1001, 276, 454, 290, 1042, 1080, 281, 21277, 1027, 676, 590, 1678, 541, 6250, 9774, 11936, 267, 15535, 1284, 4060, 267, 543, 519, 6732, 454, 18850, 30744, 19577, 15105, 12243, 693, 5291, 2517, 4178, 4877, 326, 31389, 14492, 454, 310, 269, 631, 269, 595, 6369, 312, 307, 2177, 267, 21629, 670, 2752, 23802, 645, 2969, 2464, 267, 15503, 19010, 269, 667, 5495, 21923, 3008, 631, 269, 667, 5357, 291, 267, 31173, 15503, 454, 6546, 519, 2984, 972, 514, 616, 2973, 267, 4277, 267, 12667, 267, 676, 3056, 5830, 540, 519, 1554, 543, 12349, 896, 2175, 9516, 676, 519, 22439, 262, 13477, 540, 3013, 3248, 6546, 971, 17476, 616, 14475, 538, 5742, 15945, 676, 1977, 960, 5443, 3248, 6546, 1142, 3377, 1372, 29993 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17782, 519, 1942, 540, 4881, 513, 1788, 568, 1898, 547, 922, 1967, 269, 9453, 6325, 1942, 20327, 267, 596, 949, 1265, 3054, 538, 519, 2699, 610, 7508, 856, 593, 1761, 9806, 269, 1924, 267, 875, 798, 596, 5173, 519, 1318, 1942, 20327, 286, 901, 10700, 3391, 786, 1683, 596, 609, 513, 1900, 8386, 9912, 3391, 547, 1942, 21501, 2533, 543, 1818, 2386, 602, 707, 1788, 3788, 593, 6578, 563, 7072, 547, 8779, 5741, 687, 454, 12179, 1870, 8227, 786, 2995, 596, 602, 835, 540, 519, 1034, 1271, 3344, 540, 4881, 513, 3811, 5106, 568, 6616, 707, 2338, 269, 901, 568, 2523, 3020, 950, 621, 2501, 547, 1942, 20327, 563, 289, 644, 1326, 21501, 2533, 616, 606, 1898, 1907, 585, 1022, 1870, 8227, 610, 9614, 269, 1358, 1683, 5813, 883, 1018, 513, 1788, 786, 1942, 543, 948, 596, 1118, 5483, 3664, 827, 875, 547, 21138, 707, 2200, 563, 17730, 4977, 1942, 20327, 666, 581, 513, 4161, 267, 855, 609, 513, 1906, 2241, 3268, 267, 596, 666, 1020, 513, 1062, 602, 1568, 585, 707, 1870, 269, 3371, 779, 513, 1900, 8386, 9912, 3391, 547, 12719, 1942, 21501, 20327, 912, 268, 16294, 519, 9165, 540, 707, 1788, 269, 1548, 616, 519, 6859, 286, 5548, 1853, 1963, 281, 1018, 616, 789, 286, 1548, 616, 519, 28868, 286, 18833, 519, 4267, 547, 891, 2055, 786, 948, 596, 1711, 811, 4977, 1942, 21501, 2533, 563, 268, 10576, 782, 540, 519, 2200, 602, 786, 581, 2838, 547, 2347, 519, 1788, 269, 901, 2882, 2326, 267, 4074, 267, 3937, 267, 3092, 269, 5269, 2386, 547, 1331, 1312, 1463, 543, 9940, 3790, 538, 707, 2079, 563, 268, 3763, 9193, 585, 1142, 1942, 6221, 269, 901, 1900, 3340, 930, 1382, 543, 1995, 269, 1411, 949, 991, 547, 5077, 609, 4966, 610, 2689, 3140, 1239, 547, 2097, 909, 609, 10853, 5515, 563, 268, 8073, 20314, 1890, 4566, 269, 3143, 2339, 875, 1134, 596, 1544, 267, 972, 786, 2141, 581, 930, 10462, 950, 621, 2501, 547, 3790, 269, 12706, 930, 8112, 883, 707, 6578, 676, 2870, 20314, 1890, 4566, 585, 6397, 9276, 563, 268, 25397, 4890, 3790, 607, 519, 1788, 3356, 543, 5635, 873, 1996, 707, 20327, 269, 901, 786, 948, 454, 32575, 543, 6480, 26305, 26959, 454, 2026, 609, 1022, 1870, 14679, 267, 621, 568, 1271, 547, 723, 513, 2312, 1620, 540, 519, 3790, 2404, 609, 707, 1788, 269, 901, 786, 1450, 596, 547, 1711, 4977, 1942, 20327, 543, 2057, 1022, 562, 7360, 26208, 1524, 519, 1899, 563, 2467, 616, 513, 1297, 540, 1114, 3790, 602, 596, 991, 547, 1491, 883, 2272, 950, 4058, 513, 1788, 267, 1519, 912, 268, 10049, 543, 4074, 281, 901, 568, 5310, 519, 1034, 6654, 1942, 21501, 2533, 543, 786, 4268, 4470, 593, 519, 2450, 543, 9165, 540, 707, 1788, 269, 5269, 2386, 547, 1205, 10530, 689, 2789, 14273, 547, 2327, 596, 616, 3478, 519, 1655, 4308, 563, 268, 3683, 21650, 281, 1452, 616, 519, 3790, 602, 616, 711, 2047, 1644, 547, 1570, 1491, 4752, 610, 4074, 267, 971, 607, 10519, 267, 6142, 267, 20848, 267, 3092, 269, 1358, 666, 1419, 581, 16618, 827, 855, 991, 547, 581, 1249, 1819, 883, 707, 9273, 563, 268, 5685, 3496, 281, 1403, 596, 616, 2921, 856, 513, 10211, 547, 2508, 707, 1788, 267, 1287, 596, 991, 547, 3815, 538, 519, 1719, 11033, 2059, 609, 1022, 824, 12375, 2404, 609, 24228, 2724, 563, 268, 12525, 525, 281, 13689, 593, 1141, 707, 1788, 568, 4092, 267, 972, 949, 581, 1114, 9204, 602, 991, 547, 581, 6976, 269, 5269, 2386, 596, 616, 3222, 540, 782, 4143, 9204, 543, 3815, 873, 883, 707, 6578, 563, 268, 18983, 1080, 543, 27121, 281, 1703, 949, 581, 1978, 14998, 610, 27121, 2838, 538, 1931, 547, 4163, 856, 707, 1788, 269, 1452, 666, 3006, 581, 14427, 865, 1118, 2386, 547, 3815, 873, 883, 707, 6578, 607, 1134, 563, 15612, 908, 519, 11192, 8779, 540, 513, 5741, 454, 2414, 5173, 519, 2698, 1942, 540, 513, 1788, 267, 596, 991, 547, 2015, 782, 540, 519, 3790, 2404, 609, 519, 1788, 267, 1519, 2326, 267, 4074, 267, 16841, 267, 543, 1022, 824, 9940, 3790, 269, 4495, 596, 723, 782, 540, 519, 2556, 1344, 267, 596, 666, 946, 513, 2241, 4542, 547, 5173, 519, 2698, 1942, 563, 763, 2698, 1942, 540, 513, 1788, 568, 3160, 547, 519, 2040, 540, 782, 1463, 3790, 7132, 782, 9940, 3790, 269, 6034, 3790, 616, 1346, 602, 616, 2047, 2404, 609, 519, 1788, 267, 971, 607, 2326, 543, 4074, 269, 1473, 1311, 3790, 616, 1346, 602, 616, 711, 2047, 2404, 609, 519, 1788, 855, 1869, 991, 547, 581, 2808, 267, 971, 607, 16841, 610, 10519, 563, 2414, 5173, 519, 2698, 1942, 540, 513, 1788, 267, 3274, 1039, 909, 782, 540, 519, 1463, 3790, 543, 9940, 3790, 269, 634, 3803, 2626, 786, 2285, 596, 519, 2698, 1942, 540, 519, 1788, 563, 22860, 4506, 519, 4578, 1299, 10435, 17797, 906, 454, 10574, 2079, 568, 513, 2565, 1900, 538, 1022, 1942, 16879, 269, 634, 1101, 1900, 568, 547, 2697, 519, 1239, 596, 991, 543, 1287, 10891, 621, 538, 513, 1259, 602, 2306, 2631, 585, 707, 1870, 269, 4495, 596, 723, 707, 1239, 6896, 267, 596, 666, 2253, 547, 5659, 621, 543, 1413, 585, 3466, 563, 5629, 596, 723, 4857, 3466, 538, 707, 1239, 267, 596, 666, 1376, 547, 1118, 11941, 547, 707, 20327, 269, 901, 949, 4125, 4946, 610, 9427, 1978, 3790, 267, 4657, 519, 1259, 596, 5173, 1978, 3790, 267, 610, 4376, 3116, 602, 786, 948, 2087, 6111, 269, 634, 3804, 568, 547, 2141, 581, 5355, 707, 16879, 2409, 865, 602, 596, 666, 811, 8308, 3589, 2104, 3790, 563, 17730, 606, 6452, 23847, 8779, 5741, 542, 7797, 454, 2304, 4977, 1942, 16879, 1867, 568, 2565, 547, 519, 1967, 540, 1022, 1870, 269, 6787, 596, 2461, 3168, 547, 5150, 7616, 610, 3274, 1616, 547, 1832, 3950, 540, 707, 2754, 779, 2883, 1072, 267, 513, 1942, 16879, 1867, 666, 2285, 596, 519, 4030, 596, 991, 563, 17730, 513, 1942, 16879, 1867, 949, 3100, 899, 513, 18447, 4305, 267, 855, 609, 513, 2370, 4058, 543, 3007, 547, 1469, 267, 621, 666, 581, 5266, 2653, 269, 3371, 779, 513, 1900, 8386, 9912, 3391, 547, 948, 596, 1205, 3323, 912, 272, 269, 5700, 2659, 18786, 8672, 454, 6524, 596, 666, 2253, 2870, 707, 1942, 16879, 1867, 267, 596, 991, 547, 917, 707, 4358, 1448, 269, 901, 1797, 2348, 513, 2312, 1620, 540, 707, 1699, 3790, 267, 1312, 6378, 543, 4756, 269, 4495, 596, 723, 713, 1344, 267, 596, 666, 2253, 21501, 2104, 3790, 563, 273, 269, 14419, 1548, 779, 21744, 454, 5629, 596, 917, 707, 4358, 1448, 267, 621, 779, 942, 547, 3313, 1018, 267, 952, 4376, 267, 568, 4657, 538, 707, 1870, 602, 1223, 1764, 707, 3790, 269, 901, 1223, 1331, 1919, 899, 1007, 1587, 31782, 267, 9750, 883, 1007, 6990, 267, 610, 17849, 3606, 5234, 269, 1635, 2921, 891, 2242, 883, 2272, 267, 596, 666, 811, 8308, 7447, 707, 2104, 3790, 563, 274, 269, 2422, 8466, 4578, 454, 2252, 713, 3884, 1406, 707, 1101, 1942, 16879, 1867, 267, 1287, 8458, 616, 596, 723, 930, 3140, 1239, 547, 960, 609, 269, 901, 1239, 666, 581, 5393, 5363, 538, 21501, 2104, 3790, 607, 621, 666, 1683, 3466, 543, 3270, 602, 949, 711, 581, 5612, 6654, 269, 1717, 267, 621, 779, 1271, 547, 3314, 602, 2250, 1239, 568, 711, 2141, 22566, 540, 2104, 3466, 267, 865, 946, 621, 607, 454, 8448, 11790, 1677, 6333, 1879, 29626, 26959, 454, 2467, 616, 513, 1906, 824, 1271, 1919, 547, 2015, 950, 12719, 1942, 20327, 912, 268, 634, 1826, 540, 1788, 281, 1772, 621, 513, 835, 6066, 1788, 610, 606, 5571, 1788, 286, 2290, 6066, 3785, 3622, 723, 2362, 909, 12506, 3790, 855, 2539, 1279, 3856, 3790, 269, 744, 32054, 3785, 3622, 723, 2539, 909, 12506, 3790, 855, 2362, 1279, 3856, 3790, 563, 268, 634, 9165, 540, 519, 1788, 281, 1215, 2462, 568, 519, 1788, 286, 1548, 568, 922, 9165, 286, 634, 3677, 543, 811, 1950, 519, 1788, 267, 519, 2362, 519, 3790, 786, 581, 563, 268, 634, 15415, 540, 519, 1788, 281, 1215, 1279, 786, 519, 1788, 1491, 547, 2347, 286, 18768, 609, 10156, 28868, 3622, 723, 2362, 3790, 982, 1346, 609, 3476, 28868, 563, 268, 634, 4087, 540, 519, 1788, 281, 7316, 786, 519, 1788, 581, 4092, 286, 18768, 538, 6753, 609, 2362, 3790, 540, 2713, 786, 3622, 723, 2362, 3790, 982, 1346, 538, 6753, 609, 2539, 3790, 540, 2713, 563, 268, 634, 2319, 2450, 281, 1215, 1082, 1004, 786, 581, 2324, 593, 519, 1788, 286, 634, 3677, 519, 2319, 267, 519, 2362, 519, 3790, 786, 581, 563, 21798, 21501, 2533, 616, 606, 1898, 851, 540, 1022, 1870, 269, 1358, 1683, 519, 4493, 585, 22343, 267, 20925, 267, 543, 4058, 269, 901, 2376, 814, 3177, 513, 3102, 1900, 8386, 9912, 3391, 547, 948, 596, 1174, 875, 547, 5173, 1942, 20327, 585, 707, 1788, 610, 23492, 2856, 269, 2060, 513, 1434, 1620, 540, 519, 1184, 543, 922, 3334, 267, 596, 666, 1118, 811, 4977, 9193, 593, 1942, 20327, 799, 786, 2285, 707, 3785, 1732, 8458, 693, 1967, 538, 519, 2104, 563, 5415, 3877, 281, 14716, 2754, 6142, 2956, 543, 15147, 720, 0, 16391, 545, 12202, 666, 2901, 581, 513, 8748, 15908, 267, 855, 849, 14331, 607, 1134, 269, 634, 1739, 5796, 786, 948, 596, 547, 1831, 513, 5260, 344, 5214, 32529, 563, 16605, 707, 2645, 2673, 693, 1688, 547, 1118, 519, 1034, 540, 707, 12202, 942, 563, 13014, 2386, 596, 960, 538, 707, 4677, 269, 5213, 1406, 3653, 707, 942, 10478, 585, 4503, 2645, 269, 16259, 782, 540, 707, 2645, 1991, 547, 2324, 538, 519, 4677, 267, 543, 1287, 2322, 873, 1394, 538, 741, 1747, 950, 2944, 269, 1411, 666, 946, 513, 1907, 12966, 267, 610, 3442, 27890, 602, 2270, 1896, 1804, 22836, 563, 1103, 341, 9876, 519, 2898, 1920, 538, 707, 12202, 15908, 282, 1453, 1265, 3395, 1919, 547, 581, 1360, 4277, 269, 25052, 616, 513, 8748, 1747, 585, 3214, 547, 1451, 267, 543, 2324, 2427, 676, 2427, 609, 873, 666, 7794, 519, 6125, 602, 596, 723, 563, 303, 710, 666, 581, 513, 19599, 1434, 2707, 540, 22890, 269, 15147, 707, 15135, 609, 519, 19271, 267, 543, 789, 786, 771, 704, 572, 23639, 547, 519, 3037, 2630, 607, 789, 31693, 563, 290, 4752, 2465, 12406, 616, 513, 1390, 6404, 538, 609, 707, 3037, 5861, 4752, 2465, 12406, 1039, 1082, 9436, 748, 5567, 547, 519, 3037, 602, 2371, 666, 946, 563, 2252, 596, 723, 513, 1164, 10862, 585, 6940, 538, 707, 5214, 12202, 267, 2119, 6028, 513, 7944, 540, 519, 3959, 3768, 324, 975, 539, 607, 513, 9910, 7320, 9675, 269, 2290, 2427, 1198, 540, 713, 568, 602, 1141, 2831, 8853, 267, 865, 798, 5017, 543, 7786, 602, 948, 20741, 543, 3542, 3729, 2371, 267, 799, 786, 2333, 519, 2298, 540, 707, 4677, 563, 8196, 513, 27445, 11127, 547, 948, 596, 2445, 3132, 689, 707, 3132, 269, 634, 27445, 11127, 786, 1599, 607, 513, 897, 6387, 585, 519, 5613, 543, 5388, 563, 5278, 1455, 1806, 616, 4620, 684, 5362, 543, 4620, 684, 5362, 269, 1403, 596, 2461, 711, 2386, 952, 707, 5452, 991, 7943, 267, 2119, 547, 1224, 519, 10189, 610, 1265, 519, 2626, 2228, 563, 293, 650, 519, 20220, 609, 14420, 547, 606, 10759, 2539, 982, 519, 20220, 779, 1283, 269, 590, 1663, 7714, 616, 13631, 676, 519, 14420, 543, 4465, 1406, 581, 2111, 547, 14827, 519, 8708, 563, 16605, 519, 2837, 538, 707, 1753, 1063, 476, 4792, 543, 476, 4037, 5232, 18278, 267, 952, 596, 616, 5329, 610, 3395, 1022, 2186, 540, 2030, 538, 707, 2777, 269, 634, 2837, 2115, 547, 2611, 3636, 865, 789, 949, 1332, 269, 1403, 596, 1810, 1406, 899, 5329, 707, 1753, 602, 2837, 538, 519, 5162, 267, 596, 949, 6999, 547, 2015, 3478, 513, 3002, 17689, 267, 3079, 267, 547, 1832, 707, 5214, 2371, 519, 2953, 2837, 563, 2252, 596, 6133, 610, 946, 1418, 1227, 6738, 3132, 538, 513, 5010, 4259, 267, 596, 1058, 1205, 606, 5214, 4677, 14468, 13021, 269, 901, 666, 5818, 6455, 543, 2995, 10121, 5561, 602, 789, 616, 3478, 519, 1655, 547, 873, 563, 4407, 5214, 12202, 3790, 811, 543, 3340, 811, 4674, 267, 519, 12587, 616, 1454, 1732, 269, 2755, 3114, 2861, 12202, 2472, 1118, 12050, 6811, 267, 3395, 1418, 1227, 568, 519, 1034, 14785, 4781, 585, 596, 543, 1346, 945, 8532, 707, 7031, 563, 11754, 22890, 547, 1832, 707, 4677, 547, 2087, 519, 21755, 540, 519, 3037, 269, 25109, 577, 786, 2149 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 10380, 540, 2413, 2473, 7304, 599, 3937, 269, 9093, 543, 2021, 540, 782, 14797, 543, 10764, 3357, 1927, 538, 513, 1390, 4674, 547, 13468, 19210, 543, 7092, 269, 769, 606, 2085, 1354, 2564, 7239, 3357, 547, 581, 7608, 607, 519, 2343, 267, 519, 11233, 3177, 513, 1390, 3028, 585, 3638, 543, 4057, 7567, 269, 769, 476, 3707, 271, 519, 4860, 269, 9045, 23025, 729, 835, 540, 519, 27428, 540, 519, 14886, 540, 519, 590, 1157, 5948, 630, 293, 20166, 2529, 6993, 264, 799, 1869, 6818, 2221, 563, 763, 4144, 665, 3150, 3222, 540, 922, 9021, 543, 3222, 540, 519, 1390, 1514, 543, 1570, 10575, 3424, 618, 799, 1185, 3144, 1747, 538, 519, 4095, 2146, 936, 519, 2250, 32210, 1296, 267, 5293, 513, 22375, 630, 16898, 476, 1556, 540, 476, 3707, 277, 264, 799, 8754, 1721, 628, 5116, 519, 7245, 540, 519, 6413, 896, 513, 21398, 19181, 540, 10790, 2793, 294, 30121, 269, 901, 4604, 15538, 540, 476, 1321, 2818, 267, 3670, 540, 7247, 941, 11221, 676, 519, 14271, 617, 543, 519, 6967, 3670, 1131, 581, 11221, 676, 519, 5442, 14888, 3198, 631, 19075, 590, 27263, 2975, 2464, 13138, 19851, 269, 634, 21674, 1131, 957, 608, 6815, 1470, 607, 30626, 610, 4244, 569, 267, 513, 3493, 14280, 30626, 12912, 676, 519, 21674, 1131, 1095, 728, 630, 520, 1459, 519, 681, 10725, 540, 853, 22707, 534, 779, 3474, 880, 1040, 634, 4095, 6481, 7896, 11565, 267, 3964, 593, 476, 2420, 5147, 476, 3707, 278, 543, 10805, 593, 476, 3066, 5181, 476, 3707, 278, 267, 6719, 519, 4690, 540, 519, 4095, 2146, 543, 729, 7768, 540, 7189, 267, 22278, 543, 7606, 689, 519, 22825, 269, 3220, 918, 8160, 269, 23268, 520, 729, 519, 1101, 30626, 540, 519, 11565, 543, 538, 713, 4390, 267, 646, 6394, 681, 4366, 476, 1822, 689, 519, 4095, 2146, 585, 519, 2034, 5123, 540, 519, 1646, 540, 519, 1007, 6413, 563, 288, 2264, 540, 519, 8650, 17732, 540, 22098, 267, 519, 8274, 540, 5004, 24389, 593, 513, 681, 10602, 476, 1822, 10872, 540, 7269, 269, 4438, 476, 3707, 279, 270, 5392, 4566, 941, 6192, 543, 538, 4864, 476, 3707, 280, 24909, 862, 10642, 269, 2201, 476, 2420, 5181, 476, 4198, 272, 519, 1007, 24909, 941, 13166, 8118, 676, 519, 12968, 269, 6004, 269, 631, 14371, 269, 2701, 335, 7723, 267, 8556, 15249, 540, 715, 7614, 269, 1635, 476, 4198, 273, 519, 6413, 1185, 22098, 585, 476, 1911, 15135, 269, 1879, 6192, 519, 3844, 2679, 7902, 607, 513, 13551, 609, 513, 1804, 3844, 4009, 607, 4677, 269, 634, 24909, 1185, 1942, 681, 4037, 476, 27868, 269, 2004, 543, 519, 715, 7614, 28393, 1017, 10029, 8329, 1079, 22188, 540, 519, 2698, 1942, 563, 1103, 2904, 476, 4198, 273, 7323, 700, 269, 2398, 3430, 543, 16700, 661, 269, 19134, 9788, 519, 5748, 6149, 540, 519, 853, 269, 19279, 779, 30989, 799, 7755, 334, 1441, 519, 6413, 269, 898, 568, 713, 4168, 2460, 799, 814, 2016, 853, 269, 22707, 534, 779, 5692, 922, 2027, 8984, 269, 634, 6413, 8098, 1080, 782, 14797, 607, 2550, 543, 18271, 3818, 268, 24055, 5234, 269, 898, 3091, 6703, 585, 519, 2866, 540, 11923, 269, 2311, 1459, 476, 14991, 2199, 7189, 543, 12665, 3643, 741, 2550, 693, 519, 6413, 269, 1703, 616, 1614, 2010, 540, 2550, 267, 2407, 13927, 1790, 11691, 267, 851, 13927, 1790, 11691, 543, 4557, 2600, 540, 519, 15135, 616, 11603, 585, 30724, 550, 2550, 269, 4438, 1142, 8717, 519, 6413, 814, 1193, 1508, 547, 2709, 519, 1034, 909, 3562, 15082, 6703, 543, 2550, 666, 581, 8383, 730, 538, 4357, 607, 1134, 607, 2489, 530, 1841, 269, 769, 476, 3422, 271, 519, 11233, 5185, 606, 7357, 1007, 1966, 7308, 6828, 19791, 2920, 267, 799, 10294, 519, 11233, 513, 968, 22492, 18630, 892, 543, 585, 1082, 1296, 519, 8274, 8179, 10479, 547, 22738, 2417, 968, 2169, 5014, 6100, 769, 476, 3422, 277, 519, 1007, 853, 22707, 534, 779, 5939, 729, 3710, 593, 513, 4729, 7755, 334, 1456, 519, 6413, 269, 1635, 476, 3192, 271, 950, 519, 715, 7614, 4095, 2551, 1185, 6603, 476, 4335, 476, 1822, 267, 2550, 22098, 1185, 6603, 8650, 17114, 855, 15335, 585, 11923, 729, 5310, 519, 1034, 14849, 10862, 563, 30631, 1302, 538, 476, 3192, 278, 519, 6413, 24389, 593, 513, 681, 276, 2929, 1788, 799, 1058, 581, 6192, 676, 476, 2735, 275, 269, 634, 4566, 267, 6537, 676, 519, 11629, 338, 267, 11619, 3464, 595, 269, 1325, 32024, 543, 16170, 5112, 616, 1034, 11141, 543, 960, 593, 519, 1788, 814, 5258, 883, 1614, 11775, 563, 4002, 476, 2190, 5437, 476, 3192, 279, 6004, 7671, 9410, 267, 631, 9950, 5861, 13166, 8118, 513, 1007, 10029, 13332, 267, 799, 3769, 513, 7006, 839, 776, 267, 10551, 8637, 267, 5753, 779, 20758, 267, 2271, 2400, 5516, 5149, 3092, 269, 2201, 476, 277, 5988, 476, 2735, 272, 6004, 9410, 8118, 513, 476, 1911, 5127, 12502, 525, 685, 5851, 543, 606, 7755, 334, 1456, 6796, 3625, 799, 16621, 11000, 11623, 267, 513, 18226, 4055, 543, 519, 23695, 8257, 269, 2201, 14349, 267, 476, 274, 5181, 476, 2735, 274, 267, 519, 21674, 267, 519, 681, 339, 269, 4860, 269, 7812, 25326, 2145, 267, 13166, 8118, 1007, 24909, 799, 3769, 267, 513, 1007, 20989, 13332, 267, 13880, 673, 654, 1841, 267, 631, 24471, 23267, 18740, 2672, 924, 543, 22410, 10162, 1682, 267, 8556, 13577, 5510, 1182, 543, 13675, 547, 519, 6413, 269, 2060, 519, 3791, 5123, 630, 560, 650, 538, 3356, 264, 519, 2832, 568, 547, 8831, 6413, 22098, 547, 476, 13301, 2550, 563, 1805, 22707, 534, 779, 17030, 11233, 13234, 607, 519, 4357, 6413, 585, 782, 891, 1296, 269, 769, 4989, 476, 1220, 275, 519, 11233, 729, 13166, 19942, 936, 547, 519, 918, 11445, 313, 21343, 9539, 7614, 4972, 540, 2657, 593, 513, 476, 1015, 1296, 25755, 563, 301, 289, 281, 1401, 1356, 14186, 540, 713, 1686, 941, 4562, 21242, 609, 519, 2186, 10479, 540, 519, 29842, 534, 5783, 779, 853, 22707, 534, 779, 17030, 3474, 880, 269, 0, 21801, 476, 6021, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 17208, 9120, 8473, 540, 519, 24924, 1756, 267, 519, 4102, 540, 519, 1614, 7633, 602, 19467, 547, 1106, 519, 15259, 1071, 343, 320, 267, 610, 12048, 5642, 269, 898, 568, 4092, 593, 519, 9120, 543, 14694, 6316, 540, 519, 24924, 1756, 1360, 2673, 547, 519, 2627, 540, 519, 2960, 538, 519, 12048, 3148, 269, 1879, 513, 1268, 4025, 741, 3946, 593, 741, 25637, 267, 621, 568, 519, 2960, 1657, 519, 476, 8270, 659, 30160, 602, 789, 1964, 741, 3946, 593, 269, 4924, 476, 1321, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 17208, 25170, 693, 519, 1283, 540, 519, 23856, 5642, 269, 898, 3029, 519, 7986, 5642, 540, 519, 12048, 269, 634, 476, 8270, 659, 5642, 30160, 568, 519, 26627, 25958, 6316, 540, 519, 24924, 1756, 267, 835, 540, 1614, 535, 4310, 7633, 267, 519, 24924, 1756, 267, 519, 568, 577, 1756, 267, 543, 519, 1435, 529, 267, 602, 1927, 1118, 909, 519, 10652, 6665, 269, 2986, 519, 1614, 23856, 7633, 267, 519, 24924, 1756, 568, 4586, 763, 476, 8270, 659, 30160, 568, 519, 17208, 25170, 693, 519, 1283, 540, 519, 23856, 5642, 269, 898, 3029, 519, 7986, 5642, 540, 519, 12048, 269, 634, 476, 8270, 659, 5642, 30160, 568, 519, 26627, 25958, 6316, 540, 519, 24924, 1756, 267, 835, 540, 1614, 535, 4310, 7633, 267, 519, 24924, 1756, 267, 519, 568, 577, 1756, 663, 519, 1435, 529, 267, 602, 1927, 1118, 909, 519, 10652, 6665, 563, 8170, 519, 1614, 23856, 7633, 267, 519, 24924, 1756, 568, 519, 4102, 269, 898, 814, 513, 2647, 267, 6366, 3337, 267, 543, 2337, 547, 2149, 519, 10347, 14159, 8219, 269, 634, 2178, 267, 17208, 6316, 540, 519, 24924, 1756, 602, 3029, 519, 476, 8270, 659, 30160, 3947, 4222, 547, 519, 2497, 540, 519, 10652, 6665, 269, 898, 568, 849, 606, 1271, 2497, 538, 2474, 540, 16757, 1489, 269, 11153, 1271, 12048, 267, 1394, 267, 543, 14159, 6091, 723, 741, 5169, 693, 713, 5642, 269, 634, 476, 8270, 659, 30160, 568, 513, 3226, 1271, 5642, 2497, 538, 4915, 267, 607, 621, 3568, 1804, 5666, 540, 5642, 20768, 563, 2005, 568, 1419, 1031, 607, 513, 2707, 540, 2699, 5642, 20768, 2281, 543, 6565, 2281, 585, 5642, 20768, 13003, 5773, 269, 634, 476, 8270, 659, 5642, 30160, 568, 2356, 2808, 547, 581, 513, 10930, 1747, 547, 7556, 5642, 20768, 689, 982, 519, 31175, 538, 519, 12636, 563, 11101, 267, 519, 2298, 540, 519, 5642, 20768, 602, 666, 581, 13939, 689, 713, 5642, 568, 3622, 2808, 547, 581, 875, 547, 9062, 15821, 7215, 609, 23055, 513, 1360, 2147, 2298, 547, 11983, 5642, 20768, 563, 763, 1804, 2179, 540, 5642, 602, 2306, 909, 519, 476, 8270, 659, 5642, 30160, 568, 849, 3006, 1031, 607, 513, 2707, 585, 5642, 21910, 338, 563, 2005, 666, 1683, 267, 585, 1383, 267, 6190, 12531, 540, 5642, 585, 1082, 2010, 540, 11132, 16646, 6391, 269, 634, 476, 8270, 659, 30160, 17911, 3148, 267, 693, 519, 1394, 540, 519, 12048, 267, 2488, 3226, 1804, 12531, 540, 5642, 269, 594, 2993, 659, 30160, 6794, 267, 3006, 1572, 519, 476, 8270, 659, 30160, 1928, 6794, 267, 568, 513, 4524, 6353, 676, 20443, 2539, 1394, 1928, 269, 634, 1928, 949, 2049, 3226, 1310, 3635, 267, 610, 1310, 9361, 610, 7555, 538, 513, 1880, 2990, 585, 513, 1279, 942, 563, 5194, 10835, 602, 568, 4122, 4767, 609, 713, 6794, 568, 835, 476, 8270, 659, 5642, 30160, 1373, 2539, 982, 519, 824, 269, 634, 3597, 2014, 568, 1419, 606, 28332, 610, 14324, 24924, 2723, 29856, 30301, 6518, 568, 519, 30301, 602, 13462, 519, 476, 8270, 659, 5642, 30160, 547, 519, 12636, 269, 589, 17795, 949, 581, 2938, 538, 930, 2665, 540, 12048, 8194, 269, 1452, 18655, 616, 2356, 5701, 11122, 8271, 267, 543, 538, 513, 2635, 2937, 786, 2356, 12115, 6923, 267, 4352, 1928, 1852, 949, 581, 2556, 563, 296, 2993, 659, 5642, 30160, 18655, 616, 849, 12212, 2938, 607, 513, 28658, 538, 5642, 20768, 22881, 267, 1141, 20768, 814, 1044, 13939, 689, 519, 24924, 1756, 269, 9410, 7831, 3525, 1881, 11261, 281, 5988, 476, 1321, 267, 7490, 4283, 519, 1739, 3009, 15545, 8298, 514, 281, 1280, 326, 582, 10957, 888, 12914, 476, 1691, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 1034, 7986, 851, 540, 519, 24924, 1756, 267, 519, 4102, 540, 519, 1614, 7633, 602, 1118, 909, 519, 536, 3415, 10652, 6665, 610, 12048, 5642, 269, 898, 568, 519, 17208, 8191, 281, 2549, 7701, 4446, 22641, 269, 634, 476, 8270, 659, 30160, 568, 519, 24924, 1756, 779, 1283, 8473, 267, 519, 4102, 540, 519, 1614, 7633, 602, 1118, 909, 519, 10652, 6665, 269, 634, 24924, 1756, 5642, 814, 1079, 2694, 281, 519, 1560, 543, 519, 13617, 269, 1677, 1745, 707, 24924, 1756, 30160, 267, 2322, 707, 1688, 593, 269, 4119, 476, 1428, 267, 5788, 634, 476, 8270, 659, 30160, 568, 519, 1858, 1141, 2895, 532, 7633, 1694, 593, 2901, 2427, 540, 707, 10652, 6665, 269, 1358, 1413, 10169, 899, 12209, 543, 8831, 547, 707, 25637, 543, 2539, 1394, 269, 634, 8191, 281, 667, 10005, 28243, 563, 4322, 5642, 21910, 338, 616, 1572, 1313, 690, 2761, 338, 543, 616, 1031, 5097, 547, 5372, 5642, 4503, 547, 5945, 610, 4576, 269, 24942, 21910, 338, 616, 1031, 538, 1082, 2694, 540, 519, 1560, 543, 5351, 538, 519, 7067, 540, 7633, 602, 723, 1044, 5762, 3293, 610, 7633, 602, 1705, 711, 1106, 5265, 693, 4332, 563, 763, 24924, 1756, 568, 519, 4102, 5642, 540, 519, 12048, 269, 898, 568, 1500, 909, 540, 513, 1318, 543, 513, 2451, 3368, 602, 1927, 1711, 519, 13617, 11057, 23856, 575, 2273, 548, 269, 634, 476, 8270, 659, 30160, 568, 519, 5580, 17208, 6712, 540, 1142, 2427, 540, 519, 24924, 1756, 269, 589, 1804, 2627, 1858, 2306, 519, 24924, 1756, 513, 15028, 3135, 585, 16276, 5642, 547, 581, 1031, 585, 606, 476, 8270, 659, 30160, 21910, 269, 24942, 19122, 689, 519, 24924, 1756, 568, 3638, 538, 2208, 2188, 543, 2281, 602, 12954, 5642, 2208, 269, 634, 476, 8270, 659, 30160, 21910, 666, 4196, 607, 513, 5943, 585, 1007, 5642, 2208, 1063, 1079, 4773, 540, 5642, 563, 294, 2761, 338, 689, 519, 476, 8270, 659, 30160, 666, 581, 17332, 1063, 1079, 31175, 950, 513, 11983, 12760, 568, 2556, 547, 24644, 519, 11983, 6241, 269, 1452, 21910, 338, 666, 849, 581, 1031, 547, 7816, 1579, 1111, 5493, 919, 267, 18655, 540, 1279, 7633, 602, 786, 711, 12115, 267, 610 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2782, 16503, 3603, 267, 476, 277, 628, 5147, 267, 476, 4489, 279, 269, 834, 2080, 267, 538, 27859, 267, 1216, 568, 1272, 8487, 268, 834, 763, 674, 697, 585, 519, 12567, 540, 3798, 523, 257, 689, 519, 1433, 3509, 674, 1258, 1206, 454, 268, 834, 310, 15903, 538, 27859, 257, 689, 606, 4013, 1867, 676, 11683, 681, 4460, 5069, 25020, 269, 4329, 1344, 634, 3689, 2622, 2782, 267, 634, 2817, 19964, 2228, 14266, 563, 268, 27859, 15875, 2782, 631, 13952, 269, 23093, 4751, 476, 1240, 538, 519, 3126, 966, 7860, 540, 519, 3689, 2622, 2782, 269, 6987, 847, 338, 689, 7980, 6589, 267, 609, 513, 13973, 540, 519, 15264, 563, 268, 1496, 291, 10706, 21555, 316, 31924, 8361, 11829, 1575, 540, 476, 272, 270, 276, 628, 24900, 1215, 12688, 23996, 267, 9576, 12197, 3203, 20455, 729, 1459, 693, 519, 26362, 540, 918, 583, 269, 2817, 8136, 7467, 563, 268, 22307, 4536, 685, 12267, 281, 1496, 28398, 21555, 316, 17721, 5261, 20289, 540, 476, 272, 270, 276, 628, 15506, 30119, 634, 20873, 338, 630, 292, 770, 13573, 31118, 269, 1323, 2272, 540, 519, 3801, 547, 14867, 519, 14850, 773, 3022, 3703, 268, 24465, 4229, 693, 918, 583, 269, 22291, 3877, 540, 519, 23487, 995, 2175, 519, 20754, 28815, 1813, 547, 3668, 540, 2564, 6703, 269, 562, 600, 28482, 16896, 454, 268, 834, 289, 4861, 731, 1512, 13428, 572, 269, 1215, 1261, 667, 1221, 269, 1133, 342, 3128, 13135, 15349, 645, 4593, 7057, 2668, 2817, 5917, 11229, 630, 289, 987, 32231, 267, 29517, 264, 476, 2767, 8734, 476, 4489, 278, 8525, 476, 274, 7708, 557, 8542, 5055, 10993, 28898, 269, 25512, 731, 1512, 13428, 572, 540, 519, 21816, 17621, 3203, 20455, 23996, 5747, 4166, 1310, 519, 2887, 540, 918, 583, 563, 268, 22307, 4536, 262, 12267, 281, 11683, 6723, 23720, 24747, 518, 476, 280, 628, 717, 24642, 3873, 681, 604, 956, 267, 4465, 519, 15117, 9061, 1247, 15385, 519, 5211, 570, 580, 5142, 1282, 519, 5822, 11135, 540, 918, 583, 593, 476, 2537, 5988, 476, 4489, 278, 269, 562, 600, 28482, 16896, 563, 268, 19415, 547, 519, 476, 2735, 276, 5967, 609, 8361, 11977, 10374, 339, 15875, 2782, 631, 13952, 269, 3703, 11464, 945, 21821, 539, 693, 519, 12614, 540, 2112, 543, 6039, 607, 6481, 20229, 609, 519, 4095, 6481, 6796, 7923, 547, 476, 3451, 6113, 595, 10052, 787, 3204, 339, 538, 3127, 543, 27859, 267, 476, 4489, 275, 268, 4489, 279, 563, 268, 16452, 779, 590, 1938, 327, 3298, 676, 16452, 674, 1815, 8636, 737, 9820, 619, 29589, 2593, 2882, 454, 268, 634, 11135, 540, 10548, 14508, 281, 27859, 267, 476, 2767, 268, 3066, 5181, 476, 4489, 278, 454, 268, 918, 6324, 6017, 476, 4489, 280, 281, 13639, 15051, 538, 23104, 1014, 918, 6324, 6017, 281, 3162, 918, 6324, 6017, 267, 2904, 1700, 18907, 476, 4489, 280, 269, 22291, 1344, 827, 1082, 4095, 8136, 3204, 9323, 563, 268, 27859, 476, 4572, 271, 268, 2641, 14066, 2338, 540, 10136, 689, 3127, 941, 2366, 547, 4308, 609, 513, 27693, 538, 476, 4572, 271, 454, 268, 634, 4339, 547, 14867, 681, 6373, 603, 1695, 281, 589, 2673, 2196, 3364, 281, 27859, 267, 5147, 476, 4572, 271, 454, 268, 27859, 476, 4489, 278, 268, 4489, 279, 689, 476, 1839, 628, 6019, 540, 5507, 20676, 626, 15506, 30119, 281, 634, 5507, 31118, 454, 268, 834, 763, 23104, 1014, 13571, 256, 1306, 9866, 5703, 676, 31924, 29962, 11977, 16026, 267, 772, 2529, 269, 595, 10052, 787, 267, 476, 4489, 279, 2668, 14022, 528, 4728, 5025, 1440, 559, 476, 1220, 274, 267, 3817, 476, 1839, 268, 476, 3374, 269, 16814, 4528, 267, 7824, 454, 268, 3703, 268, 24465, 4640, 543, 3609, 538, 27859, 2433, 5437, 476, 4489, 275, 910, 4989, 476, 4489, 277, 676, 623, 918, 269, 16026, 267, 1912, 323, 19080, 3751, 781, 5441, 5507, 630, 17206, 540, 5507, 264, 476, 2735, 272, 269, 6599, 5308, 3703, 7732, 563, 268, 634, 23104, 1014, 22411, 281, 634, 3703, 15232, 538, 12925, 538, 519, 3689, 2622, 2782, 676, 18496, 623, 29336, 2073, 11683, 267, 2475, 13149, 17620, 267, 476, 1556, 5988, 476, 1960, 272, 269, 589, 1957, 4843, 547, 519, 20513, 540, 519, 25220, 2782, 5441, 269, 25201, 3820, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 4015, 563, 268, 834, 8072, 18744, 676, 519, 18156, 685, 281, 3703, 4831, 13001, 1231, 4026, 1890, 538, 12925, 267, 476, 4572, 271, 257, 676, 4460, 10496, 10849, 523, 3817, 476, 26825, 268, 3607, 274, 9540, 12668, 1299, 6184, 584, 2102, 2886, 11730, 476, 273, 267, 17136, 476, 273, 267, 4864, 476, 1960, 272, 269, 901, 4528, 568, 513, 6478, 11657, 4647, 799, 267, 4470, 593, 707, 11422, 267, 596, 949, 991, 547, 12398, 538, 707, 28085, 17835, 269, 2508, 1721, 6420, 523, 718, 625, 3820, 454, 268, 12925, 267, 476, 1220, 274, 268, 275, 543, 27859, 267, 476, 4489, 275, 268, 1240, 281, 589, 22414, 5811, 538, 661, 2738, 543, 31283, 676, 31924, 29962, 6276, 667, 2480, 644, 29800, 269, 476, 866, 4728, 476, 1220, 275, 269, 2475, 8136, 2782, 5441, 267, 2961, 5894, 548, 4446, 13715, 267, 13698, 269, 25201, 3820, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 14635, 563, 268, 634, 3703, 15232, 538, 12925, 689, 476, 4489, 275, 268, 4572, 277, 281, 1548, 27067, 2052, 634, 2136, 2276, 8571, 3245, 4706, 15232, 286, 676, 15623, 654, 269, 13879, 269, 589, 5098, 4843, 547, 519, 20513, 540, 519, 2475, 8136, 16710, 543, 4937, 16065, 5441, 10783, 2274, 13273, 10290, 267, 17857, 476, 1704, 4873, 476, 1220, 275, 269, 10395, 1441, 1488, 916, 3194, 7732, 7913, 7732, 269, 7824, 4647, 546, 6776, 6230, 559, 25201, 3820, 4528, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 14635, 563, 268, 834, 763, 3689, 2622, 2782, 23104, 1014, 22411, 338, 281, 13639, 16497, 593, 12925, 328, 16140, 2782, 11071, 257, 676, 962, 28907, 325, 2806, 9567, 7232, 928, 514, 267, 21864, 29362, 267, 642, 269, 476, 277, 267, 3390, 476, 277, 630, 18907, 476, 1220, 276, 1040, 2836, 327, 1735, 267, 519, 25220, 5403, 12392, 3427, 269, 8053, 699, 344, 267, 4993, 267, 7330, 267, 606, 4013, 772, 2529, 269, 13108, 3896, 563, 268, 834, 763, 3703, 20431, 566, 540, 27859, 267, 476, 4489, 275, 268, 4572, 273, 257, 676, 26701, 1014, 3213, 919, 21853, 5341, 11420, 269, 634, 4750, 540, 21864, 5525, 5292, 476, 1789, 269, 3143, 476, 273, 267, 476, 4097, 280, 268, 4391, 278, 267, 4989, 476, 1220, 278, 269, 24243, 12975, 454, 268, 834, 13981, 634, 10434, 10158, 281, 634, 4095, 8136, 769, 27859, 267, 476, 4489, 275, 268, 4489, 279, 257, 676, 3220, 26701, 1014, 3213, 919, 21853, 5341, 11420, 267, 7460, 300, 295, 14400, 10985, 476, 1001, 273, 1107, 4095, 14022, 625, 630, 763, 3703, 8189, 585, 13639, 3778, 536, 9492, 327, 3820, 16896, 267, 1631, 606, 2895, 1882, 2546, 8094, 268, 1280, 326, 13516, 5794, 8705, 281, 5794, 12741, 538, 519, 23104, 1014, 22411, 676, 8834, 808, 19681, 6975, 267, 476, 1220, 274, 9457, 540, 13639, 3203, 543, 3163, 19080, 267, 16710, 543, 4937, 16065, 5441, 630, 290, 14899, 290, 264, 10783, 2274, 13273, 10290, 267, 23794, 269, 10395, 1441, 1488, 916, 3194, 7732, 1496, 290, 2752, 299, 316, 7913, 7732, 269, 25201, 3820, 4528, 267, 16470, 14502, 6176, 4741, 630, 291, 12087, 264, 4015, 563, 268, 595, 10052, 787, 540, 519, 1849, 10796, 281, 31834, 540, 519, 5794, 2782, 538, 519, 8109, 20989, 267, 4489, 275, 268, 4489, 279, 676, 595, 670, 269, 1733, 1856, 344, 476, 1960, 278, 269, 589, 5098, 11643, 538, 9864, 3505, 16667, 331, 618, 540, 519, 4170, 585, 519, 23422, 540, 9457, 540, 8551, 538, 3778, 538, 519, 2160, 540, 2052, 26248, 267, 1715, 10215, 269, 589, 7824, 4647, 267, 799, 4470, 593, 707, 11422, 267, 596, 949, 991, 547, 12398, 538, 707, 28085, 17835, 563, 268, 834, 763, 589, 15598, 769, 12182, 614, 1849, 1307, 281, 634, 5794, 2782, 3683, 634, 23104, 1014, 19164, 257, 676, 5794, 2155, 617, 648, 4460, 700, 1314, 269, 3487, 540, 519, 10554, 1635, 634, 1530, 520, 2986, 4256, 623, 1218, 634, 18619, 540, 519, 10985, 4371, 476, 1321, 5437, 476, 1001, 273, 693, 519, 681, 8150, 293, 7467, 267, 8672, 13648, 676, 13639, 3778, 1656, 11595, 15117, 563, 268, 9576, 5794, 10414, 8466, 5980, 4750, 476, 4366, 476, 1001, 271, 269, 16814, 4528, 267, 7824, 986, 325, 332, 5237, 3820, 16896, 269, 986, 325, 6230, 617, 16896, 4528, 269, 22291, 834, 18744, 589, 590, 1938, 6011, 286, 634, 681, 15598, 1656, 17241, 293, 769, 27859, 476, 4489, 275, 268, 4489, 279, 257, 676, 24053, 2782, 1676, 3817, 476, 280, 268, 866, 543, 834, 763, 17241, 293, 14022, 10696, 2961, 14992, 769, 12925, 630, 7197, 569, 264, 476, 4572, 272, 268, 3707, 278, 257, 676, 3220, 18332, 24261, 3817, 476, 736, 268, 4343, 563, 268, 834, 29753, 12925, 281, 6628, 267, 3127, 543, 519, 4414, 18277, 540, 7276, 543, 5303, 538, 519, 3689, 2622, 2782, 257, 676, 30410, 5984, 9045, 807, 12815, 1299, 10558, 630, 1220, 278, 264, 11730, 476, 3192, 267, 17136, 476, 272, 267, 3817, 476, 21076, 268, 14838, 454, 268, 2037, 5937, 528, 1133, 557, 6150, 2433, 634, 9452, 3297, 634, 10003, 547, 2037, 1673, 528, 676, 25414, 15434, 1597, 21701, 5988, 476, 1001, 275, 269, 16814, 4528, 267, 7824, 267, 3095, 547, 824, 28085, 11688, 704, 639, 12304, 2593, 269, 8158, 476, 2918, 5239, 476, 1001, 275, 269, 1230, 13935, 19359, 689, 661, 670, 13643, 267, 3277, 834, 23208, 2835, 2228, 257, 2630, 269, 1261, 729, 513, 4759, 540, 519, 21816, 17621, 3203, 20455, 23996, 630, 305, 836, 3019, 1230, 1154, 550, 1040, 15020, 2693, 713, 729, 2073, 610, 729, 4448, 609, 267, 519, 681, 836, 3019, 5800, 4347, 775, 21816, 17621, 17620, 267, 799, 1185, 606, 3203, 20455, 3296, 563, 268, 15080, 676, 589, 2466, 822, 13850, 9655, 281, 834, 4537, 1563, 29813, 4900, 281, 12075, 543, 18433, 2103, 538, 519, 7890, 13122, 540, 681, 553, 620, 268, 8072, 288, 514, 267, 476, 4489, 277, 268, 1240, 2668, 898, 568, 1759, 593, 606, 2272, 2854, 676, 606, 4095, 4759, 540, 519, 19377, 2549, 12712, 766, 17620, 630, 289, 3722, 1070, 945, 2968, 513, 26956, 1310, 519, 2887, 540, 918, 583, 269, 543, 8694, 909, 538, 519, 7890, 13122, 540, 681, 553, 620, 268, 262, 288, 514, 267, 538, 7187, 16850, 267, 538, 476, 4489, 277, 269, 968, 763, 2601, 519, 1650, 814, 15068, 568, 602, 835, 540, 519, 4095, 14586, 5949, 547, 2328, 827, 827, 1010, 2112, 2833, 17288, 1296, 2663, 269, 3571, 2012, 729, 590, 529, 597, 7203, 21112, 327, 1731, 926, 543, 1010, 1433, 2806, 6062, 2274, 20045, 24863, 611, 630, 528, 2201, 1677, 20045, 24863, 611, 264, 7902, 538, 476, 4198, 279, 892, 898, 568, 538, 476, 1240, 2694, 267, 538, 9258, 1931, 267, 9967, 540, 1079, 3817, 269, 2480, 2651, 547, 519, 5377, 540, 713, 2985, 585, 851, 476, 272, 269, 2480, 2651, 547, 519, 5377, 540, 713, 2985, 547, 3136, 269, 630, 21287, 3820, 6402, 476, 272, 543, 476, 273, 264, 634, 4505, 851, 540, 519, 17728, 267, 689, 11836, 909, 538, 2836, 12827, 3279, 547, 519, 2887, 540, 918, 583, 568, 4330, 538, 834, 4002, 547, 20045, 24863, 611, 2668, 2480, 2651, 547, 519, 5377, 540, 519, 2985, 585, 851, 476, 272, 454, 268, 32439, 676, 18279, 918, 3315, 534, 27958, 631, 4157, 615, 10202, 2073, 513, 4759, 540, 519, 4095, 6481, 6796, 267, 8385, 2854, 538, 15622, 8932, 269, 2991, 519, 2887, 540, 918, 583, 646, 729, 2366, 547, 513, 26956, 6361, 21351, 3786, 693, 681, 553, 620, 268, 8072, 288, 514, 267, 16850, 1141, 646, 5747, 538, 476, 4489, 278, 269, 1261, 729, 2022, 21065, 3585, 13752, 519, 13639, 9061, 269, 3571, 6589, 267, 538, 15622, 8932, 267, 616, 2139, 2228, 267, 3277, 2630, 269, 2368, 32461, 723, 1044, 12261, 883, 2296, 676, 589, 2466, 822, 13850, 9655, 269, 2480, 2651, 1524, 547, 519, 7127, 634, 2048, 12709, 543, 519, 2622, 685, 538, 12925, 476, 4489, 276, 268, 1704, 281, 3487, 476, 272, 547, 30134, 269, 1280, 519, 3803, 9708, 267, 20801, 1524, 547, 519, 5377, 1614, 9708, 269, 18838, 5147, 268, 4864, 476, 1001, 273, 993, 527, 822, 724, 9655, 2593, 630, 4958, 7205, 476, 1015, 2904, 476, 1001, 275, 1916, 268, 968, 21953, 1776, 4095, 3689, 2622, 2782, 17728, 1336, 17373, 9137, 827, 519, 2782, 6490, 7546, 338, 540, 18279, 7799, 599, 324 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 28843, 28843, 28843, 283, 16777, 4696, 454, 4499, 2525, 23751, 5035, 2368, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 8782, 17249, 262, 2187, 1038, 1582, 20508, 815, 1871, 22562, 825, 1219, 1205, 4067, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 454, 672, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 454, 825, 7711, 4067, 15630, 614, 454, 825, 1219, 2012, 4311, 267, 1871, 2187, 1038, 1582, 11519, 4067, 815, 1871, 454, 672, 692, 338, 815, 2368, 3488, 338, 611, 5073, 258, 338, 815, 1412, 329, 329, 329, 329, 7055, 2745, 4433, 10947, 4067, 15405, 9563, 9563, 24257, 476, 272, 324, 278, 321, 275, 322, 5038, 278, 324, 276, 5379, 22396, 2764, 324, 279, 323, 659, 10623, 320, 271, 321, 8064, 275, 279, 4029, 1789, 764, 325, 321, 274, 454, 0, 5814, 4351, 454, 5814, 533, 2096, 903, 27942, 7531, 5035, 9061, 5320, 912, 825, 2450, 815, 476, 271, 454, 825, 30573, 8217, 815, 29129, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 2891, 2162, 8080, 547, 519, 30573, 11015, 20536, 12693, 5602, 1038, 1247, 6936, 912, 2018, 1582, 25915, 815, 703, 9272, 19629, 333, 11767, 519, 4009, 2450, 540, 30573, 281, 27328, 2018, 952, 1582, 25915, 2999, 476, 274, 912, 3546, 1820, 2891, 32451, 1507, 3403, 269, 9373, 1776, 1871, 23528, 3546, 3136, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 6910, 8443, 7481, 7386, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 13376, 1582, 6983, 1484, 5320, 8217, 5157, 4940, 6572, 263, 271, 994, 3546, 2736, 692, 825, 1219, 2262, 7272, 1157, 518, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 1582, 28482, 1484, 7272, 1157, 518, 9217, 267, 795, 994, 3546, 1582, 6155, 1144, 7272, 1157, 518, 9217, 267, 795, 2020, 825, 1219, 2066, 7272, 1157, 518, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 476, 271, 912, 2018, 13214, 815, 834, 572, 937, 1793, 267, 5320, 689, 8675, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 2018, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 3546, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 3546, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 257, 2187, 7386, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 5602, 7386, 2132, 692, 1038, 8640, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 2018, 2132, 454, 1038, 3116, 912, 2018, 547, 8548, 2255, 815, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 2639, 2018, 13214, 815, 834, 572, 937, 1793, 267, 2262, 689, 8675, 1141, 2262, 899, 1412, 260, 257, 1341, 547, 8548, 2255, 314, 271, 316, 1341, 834, 262, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 952, 1293, 318, 6919, 11203, 476, 271, 912, 3546, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 3546, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 7386, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 7386, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 7386, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 257, 2187, 13376, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 659, 1484, 5602, 13376, 2132, 454, 2018, 3116, 912, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 2891, 311, 2580, 1535, 267, 586, 2437, 1584, 311, 257, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 815, 834, 311, 4840, 3546, 2132, 692, 825, 1219, 1524, 7272, 1157, 518, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 476, 271, 912, 2018, 13214, 815, 834, 572, 937, 1793, 267, 5320, 689, 8675, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 2018, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 3546, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 3546, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 257, 2187, 7386, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 5602, 7386, 2132, 692, 1038, 8640, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 2018, 2132, 454, 1038, 3116, 912, 2018, 547, 8548, 2255, 815, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 2639, 2018, 13214, 815, 834, 572, 937, 1793, 267, 2262, 689, 8675, 1141, 2262, 899, 1412, 257, 1341, 547, 8548, 2255, 314, 271, 316, 1341, 834, 260, 262, 282, 4840, 2018, 630, 6919, 267, 1293, 318, 6919, 264, 815, 1582, 269, 6618, 5091, 520, 15390, 263, 638, 2044, 994, 2018, 1948, 1820, 263, 6919, 994, 2018, 952, 1293, 318, 6919, 11203, 476, 271, 912, 3546, 4351, 318, 842, 815, 4351, 27110, 263, 272, 267, 476, 1911, 271, 264, 476, 1948, 1491, 513, 4351, 1297, 454, 3546, 585, 737, 538, 2039, 263, 12690, 318, 842, 267, 4351, 318, 842, 1341, 1293, 318, 6919, 910, 476, 272, 2567, 476, 1948, 2332, 519, 585, 8520, 934, 547, 28219, 703, 454, 7386, 28219, 318, 23092, 815, 737, 4939, 1293, 318, 6919, 476, 1948, 4584, 1003, 1759, 593, 8675, 2450, 454, 7386, 2262, 15461, 318, 2897, 815, 1913, 314, 8681, 318, 23092, 6012, 272, 2639, 7386, 952, 1582, 269, 5320, 318, 680, 659, 1464, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 257, 2187, 13376, 1582, 269, 5320, 27133, 1154, 27182, 15461, 318, 2897, 267, 1535, 267, 586, 267, 834, 6658, 5602, 13376, 2132, 454, 2018, 3116, 912, 3546, 952, 1582, 269, 5320, 318, 680, 659, 1464, 2891, 311, 2580, 1535, 267, 586, 2437, 1584, 311, 257, 2187, 7386, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 815, 834, 311, 4840, 3546, 2132, 692, 825, 1219, 1921, 5091, 520, 15390, 4311, 267, 13214, 2187, 1038, 2119, 912, 2018, 24563, 815, 533, 2096, 903, 27942, 269, 6618, 2891, 29985, 10676, 2580, 834, 10174, 2580, 834, 289, 880, 531, 268, 28670, 274, 2580, 834, 335, 2814, 1180, 19668, 5602, 2018, 23684, 815, 24563, 269, 19387, 4590, 2018, 23684, 20216, 31146, 263, 638, 2044, 994, 2018, 1239, 815, 23684, 8807, 21255, 718, 4590, 2018, 3611, 659, 870, 815, 23684, 269, 992, 12248, 454, 1038, 4849, 912, 2018, 1820, 2891, 4462, 762, 547, 30321, 1344, 5602, 1038, 24563, 25379, 4590, 1038, 1913, 815, 11713, 1038, 585, 1775, 538, 1239, 912, 2018, 1913, 6910, 8443, 328, 314, 271, 3910, 1775, 314, 272, 316, 7481, 1038, 2132, 1913, 267, 3611, 659, 870, 692, 825, 1219, 2262, 318, 680, 659, 1464, 4311, 267, 2262, 267, 1535, 267, 586, 267, 2493, 2187, 1038, 952, 2493, 2652, 834, 659, 1484, 13426, 2018, 952, 7003, 27182, 264, 3436, 630, 1345, 25915, 910, 586, 2187, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 12169, 267, 586, 1341, 7003, 27182, 15892, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 11203, 476, 271, 912, 13376, 2132, 8771, 454, 3546, 952, 586, 11203, 476, 271, 912, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 268, 272, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 268, 272, 316, 11203, 834, 311, 13426, 13376, 2132, 8771, 692, 1038, 8640, 2493, 2652, 834, 6658, 13426, 2018, 952, 7003, 27182, 264, 3436, 630, 1345, 25915, 910, 1535, 2187, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 585, 1775, 538, 2039, 3287, 266, 272, 267, 1535, 1341, 7003, 27182, 15892, 7386, 952, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 11203, 476, 271, 912, 13376, 2132, 8771, 454, 3546, 952, 1535, 11203, 476, 271, 912, 7386, 952, 1582, 6983, 1484, 5320, 8217, 20572, 268, 272, 6012, 344, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 268, 272, 6012, 344, 316, 11203, 834, 311, 13426, 13376, 2132, 8771, 692, 1038, 8640, 2493, 2652, 834, 1584, 311, 13426, 2018, 952, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 11203, 476, 271, 610, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 344, 316, 2652, 834, 311, 13426, 3546, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 2262, 27133, 1154, 4311, 267, 2262, 267, 1535, 267, 586, 267, 2493, 2187, 1038, 952, 2493, 2652, 834, 659, 1484, 13426, 2018, 1775, 815, 586, 454, 2018, 585, 12055, 19963, 680, 3873, 538, 2262, 912, 3546, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 815, 12055, 19963, 680, 3873, 454, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 1582, 25915, 912, 3546, 1582, 6983, 1484, 5320, 8217, 20572, 6012, 328, 316, 815, 834, 311, 4840, 1038, 3116, 912, 2018, 1775, 815, 1535, 454, 2018, 585, 12055, 19963, 680, 3873, 538, 2262, 912, 3546, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 815, 12055, 19963, 680, 3873, 454, 3546, 1775, 6834, 476, 272, 454, 2018, 952, 1775, 2999, 1582, 25915, 912, 3546, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 344, 316, 815, 834, 311, 5016, 825, 1219, 6445, 13448, 4311, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 952, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 329, 316, 2652, 476, 271, 912, 7386, 1582, 6983, 1484, 5320, 8217, 5157, 6012, 329, 316, 815, 834, 311, 5016, 825, 1219, 2070, 6831, 1484, 5320, 4311, 2187, 1038, 1820, 2891, 5602, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 25915, 2187, 3546, 1820, 4311, 6983, 1484, 5320, 8217, 5157, 6012, 329, 3910, 1439, 6889, 476, 19515, 2018, 1820, 2891, 257, 9239, 29589, 5320, 318, 28128, 815, 9061, 5320, 4590, 29589, 5320, 318, 28128, 269, 5320, 7272, 1157, 518, 4590, 29589, 5320, 318, 28128, 8807, 650, 13448, 4590, 29589, 5320, 318, 28128, 269, 1613, 6831, 1484, 5320, 10797, 0, 258, 28605, 8193, 281, 29031, 293, 268, 279, 20609, 8894, 258, 323, 5877, 16583, 30936, 23746, 23284, 29004, 499, 420, 492, 371, 19764, 480, 27747, 372, 18998, 19404, 491, 13644, 499, 31284, 420, 377, 377, 11133, 318, 4958, 1845, 18998, 454, 258, 23946, 370, 18777, 378, 419, 377, 362, 17958, 16043, 371, 28786, 419, 494, 484, 12528, 318, 26047, 454, 5814, 2712, 961, 756, 273, 454, 3698, 4647, 263, 14766, 267, 12528, 318, 26047, 8782, 342, 1873, 335, 3299, 11133, 318, 4958, 1845, 815, 476, 273, 2187, 13537, 834, 12606, 532, 24333, 14766, 454, 453, 3650, 619, 28121, 262, 27165, 268, 26047, 9166, 12528, 318, 26047, 8679, 453, 258, 21928, 19764, 499, 24662, 7511, 584, 961, 756, 273, 18021, 497, 18809, 420, 364, 481, 17958, 7528, 652, 16583, 30936, 18998, 17958, 25622, 5405, 509, 454, 453, 7528, 652 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 263, 273, 267, 476, 277, 264, 1058, 723, 8120, 476, 271, 4799, 1038, 7682, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 274, 267, 476, 277, 264, 2652, 476, 271, 267, 567, 834, 24445, 547, 1205, 7272, 31242, 318, 520, 263, 274, 267, 476, 277, 264, 1058, 723, 8120, 476, 271, 3010, 1038, 7682, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 274, 264, 2652, 476, 277, 267, 567, 834, 24445, 547, 1205, 7272, 31242, 318, 520, 263, 272, 267, 476, 274, 264, 1058, 723, 8120, 476, 277, 4799, 825, 4849, 2667, 1068, 542, 13286, 607, 552, 912, 1038, 1948, 7179, 856, 513, 3593, 7888, 5470, 5048, 454, 1038, 1820, 552, 692, 258, 14840, 519, 4255, 269, 901, 1505, 16493, 4986, 952, 519, 4255, 454, 258, 1780, 269, 901, 1505, 16493, 606, 5470, 5048, 585, 519, 1101, 3097, 258, 5470, 621, 13341, 563, 258, 11687, 318, 1326, 7272, 31242, 318, 520, 30800, 3698, 3328, 15058, 5334, 584, 1037, 532, 9638, 31242, 14682, 5090, 267, 1775, 267, 795, 2187, 825, 23288, 825, 16849, 519, 796, 7076, 539, 3328, 540, 519, 2418, 540, 519, 18920, 693, 4737, 1775, 3097, 825, 543, 6241, 795, 543, 519, 5216, 19641, 4478, 621, 563, 825, 15981, 692, 825, 1535, 815, 795, 910, 476, 272, 454, 825, 586, 815, 1775, 910, 476, 272, 454, 825, 8700, 815, 795, 1341, 476, 272, 454, 825, 4463, 815, 1775, 1341, 476, 272, 692, 825, 23288, 825, 1820, 834, 343, 815, 4939, 323, 257, 4939, 1535, 454, 825, 1820, 834, 344, 815, 4939, 323, 257, 4939, 586, 454, 825, 1820, 834, 12296, 476, 815, 4939, 323, 257, 4939, 8700, 454, 825, 1820, 834, 19417, 815, 4939, 323, 257, 4939, 4463, 454, 825, 15981, 692, 825, 18920, 23544, 815, 476, 271, 454, 825, 585, 897, 538, 2039, 3287, 267, 8700, 266, 272, 2187, 1038, 585, 4737, 538, 2039, 12169, 267, 4463, 266, 272, 2187, 2018, 18920, 23544, 6834, 1205, 7272, 31242, 318, 520, 9638, 31242, 14682, 5090, 267, 4737, 267, 897, 2020, 825, 1948, 2745, 834, 335, 31242, 23544, 815, 4939, 323, 834, 4939, 18920, 23544, 454, 825, 1948, 31087, 10976, 292, 24199, 25265, 7728, 6730, 29187, 299, 19781, 8668, 23166, 22400, 2910, 14701, 27250, 825, 1948, 18920, 23544, 1058, 581, 606, 8870, 269, 1284, 20053, 585, 713, 547, 581, 3097, 825, 1948, 959, 15635, 908, 8870, 6498, 269, 22322, 825, 2132, 18920, 23544, 1315, 476, 280, 7531, 3698, 1820, 14682, 5090, 9638, 31242, 14682, 5090, 17107, 825, 8700, 476, 815, 7003, 9638, 31242, 14682, 5090, 314, 271, 7481, 825, 4463, 815, 7003, 9638, 31242, 14682, 5090, 2020, 825, 585, 586, 538, 2039, 263, 271, 267, 4463, 2187, 1038, 585, 1535, 538, 2039, 263, 271, 267, 8700, 2187, 2018, 1820, 9638, 31242, 14682, 5090, 314, 344, 6012, 343, 316, 13211, 1038, 1820, 27719, 333, 5016, 3698, 1449, 19963, 2071, 15058, 5334, 584, 1037, 532, 10031, 825, 15981, 9978, 267, 5618, 7254, 640, 11974, 585, 3328, 15058, 5334, 584, 1037, 532, 269, 23288, 825, 1948, 6684, 547, 1449, 318, 1326, 7272, 31242, 318, 520, 267, 8429, 782, 540, 891, 4255, 454, 825, 1948, 1281, 711, 10018, 602, 707, 6388, 540, 3097, 825, 1948, 3328, 15058, 5334, 584, 1037, 532, 568, 2953, 780, 825, 1449, 14682, 5090, 815, 1496, 454, 1038, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 16689, 1038, 1496, 271, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 16689, 1038, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 2639, 825, 476, 6540, 825, 1948, 2745, 1205, 7272, 31242, 318, 520, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 994, 825, 1948, 2745, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 994, 825, 2119, 912, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 275, 264, 2652, 476, 277, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 1058, 723, 8120, 476, 277, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 2652, 476, 273, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 272, 264, 1058, 723, 8120, 476, 273, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 276, 264, 2652, 476, 275, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 276, 264, 1058, 723, 8120, 476, 275, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 276, 264, 2652, 476, 274, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 276, 264, 1058, 723, 8120, 476, 274, 4840, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 264, 2652, 476, 275, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 272, 267, 476, 273, 264, 1058, 723, 8120, 476, 275, 4799, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 271, 264, 2652, 476, 271, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 271, 267, 476, 271, 264, 1058, 723, 8120, 476, 271, 4799, 1038, 7682, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 273, 267, 476, 276, 264, 2652, 476, 274, 267, 834, 24445, 547, 3328, 15058, 5334, 584, 1037, 532, 6025, 652, 14682, 5090, 267, 476, 273, 267, 476, 276, 264, 1058, 723, 8120, 476, 274, 4799, 825, 4849, 2667, 1068, 542, 13286, 607, 552, 912, 1038, 1820, 552, 692, 258, 11687, 19963, 2071, 15058, 5334, 584, 1037, 532, 30800, 3698, 20747, 9638, 31242, 14682, 5090, 2187, 825, 23288, 825, 9717, 18920, 14682, 5090, 630, 320, 7470, 540, 19641, 1070, 7024, 513, 1007, 7470, 540, 19641, 454, 825, 602, 568, 519, 1267, 540, 20747, 2590, 18920, 14682, 5090, 269, 769, 519, 3977, 7470, 267, 3097, 825, 1142, 18920, 568, 519, 3328, 540, 602, 18920, 543, 922, 5216, 12543, 538, 454, 825, 519, 3403, 7470, 269, 3097, 825, 15981, 692, 825, 1948, 31087, 10976, 292, 24199, 25265, 7728, 6730, 29187, 299, 19781, 8668, 23166, 22400, 2910, 14701, 4429, 692, 7531, 258, 7224, 1292, 3252, 538, 9226, 594, 7058, 454, 11687, 318, 1326, 7272, 31242, 318, 520, 4590, 11687, 19963, 2071, 15058, 5334, 584, 1037, 532, 10797, 0, 5814, 942, 1477, 5814, 15259, 1477, 6112, 6936, 6769, 258, 19670, 2934, 1477, 258, 604, 596, 1265, 1022, 6959, 726, 345, 3346, 803, 538, 930, 1259, 1775, 21645, 917, 875, 555, 334, 689, 1631, 593, 1775, 786, 2491, 1018, 993, 1775, 3257, 543, 875, 1281, 621, 960, 23228, 258, 8421, 334, 281, 713, 568, 519, 20446, 540, 519, 1982, 332, 1477, 258, 328, 2322, 713, 1247, 3020, 1175, 585, 1964, 691, 532, 519, 1982, 950, 621, 26088, 979, 1294, 693, 519, 1439, 540, 519, 3009, 585, 2417, 9623, 476, 5897, 24541, 825, 15259, 269, 17882, 3488, 10233, 513, 20298, 24541, 825, 1820, 3488, 5257, 24653, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 1477, 16123, 486, 21735, 16123, 482, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 482, 21735, 16123, 486, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 482, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 482, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 482, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 21735, 16123, 482, 21735, 16123, 486, 21735, 16123, 482, 16123, 482, 21735, 16123, 486, 16123, 482, 21735, 16123, 482, 16123, 482, 16123, 478, 16123, 486, 1477, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 478, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 478, 16123, 486, 16123, 486, 21735, 16123, 478, 21735, 16123, 486, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 486, 16123, 486, 21735, 16123, 482, 21735, 16123, 482, 16123, 486, 1477, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 478, 16123, 482, 16123, 482, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 16123, 482, 16123, 482, 16123, 478, 5897, 18257, 10142, 825, 942, 4732, 2748, 263, 272, 10142, 258, 663, 6673, 325, 271, 343, 270, 1042, 325, 2135, 568, 1250, 2012, 621, 568, 1500, 676, 803, 269, 5897, 825, 1820, 3488, 5257, 5897, 16123, 486, 16123, 478, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 482, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 476, 587, 481, 16123, 486, 16123, 482, 16123, 482, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 476, 587, 481, 16123, 482, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 478, 16123, 482, 16123, 478, 1477, 16123, 486, 16123, 495, 16123, 478, 16123, 495, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 482, 16123, 478, 587, 481, 16123, 486, 16123, 486, 16123, 482, 587, 481, 476, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 16123, 495, 16123, 486, 16123, 495, 587, 481, 476, 587, 481, 16123, 486, 16123, 478, 16123, 486, 587, 481, 16123, 486, 16123, 478, 16123, 478, 587, 481, 16123, 486, 16123, 478, 16123, 495, 587, 481, 16123, 486, 16123, 482, 16123, 486, 587, 481, 16123, 486, 16123, 495, 16123, 486, 5897, 5257, 10807, 476, 5897, 258, 5228, 1934, 519, 1982, 6238, 672, 5897, 825, 1820, 630, 18257, 1477, 268, 547, 1685, 519, 6906, 267, 2046, 476, 272, 6902, 1477, 268, 547, 14892, 519, 4009, 543, 13551, 2046, 476, 273, 282, 1477, 18257, 3418, 24541, 258, 14140, 851, 1175, 585, 7446, 627, 603, 12166, 1106, 579, 1616, 547, 5173, 1477, 24541, 825, 1247, 6936, 6769, 1038, 1781, 1047, 815, 3403, 3488, 11767, 513, 1297, 7222, 547, 707, 5697, 5106, 4534, 15010, 1412, 3418, 1038, 952, 1781, 1047, 538, 18358, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 11172, 6769, 2018, 2736, 1477, 825, 1948, 10472, 568, 4781, 476, 272, 6906, 972, 786, 581, 824, 476, 273, 3681, 949, 29560, 835, 811, 538, 519, 2104, 1477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 273, 13064, 272, 31574, 348, 22570, 16535, 558, 23533, 266, 330, 268, 272, 2410, 330, 16585, 13064, 272, 270, 273, 330, 348, 1422, 28254, 476, 273, 13064, 272, 31574, 348, 630, 333, 266, 330, 268, 272, 264, 13064, 272, 270, 273, 348, 630, 330, 14386, 3867, 272, 270, 273, 330, 10592, 7445, 6234, 1422, 28254, 476, 273, 13064, 272, 31574, 348, 552, 13064, 272, 270, 273, 348, 737, 3867, 272, 270, 273, 348, 630, 333, 266, 330, 268, 272, 264, 13064, 272, 270, 273, 348, 1547, 6911, 2171, 666, 3976, 6961, 14497, 476, 272, 676, 4259, 20270, 330, 28701, 1422, 331, 28776, 595, 589, 317, 273, 1422, 337, 28776, 4151, 585, 930, 18481, 1804, 6207, 3586, 20270, 290, 31859, 2026, 1082, 3988, 949, 2907, 917, 267, 1250, 1434, 3659, 543, 8284, 6310, 5816, 3455, 7033, 717, 10183, 267, 2348, 20386, 909, 960, 593, 519, 23134, 12660, 542, 547, 9119, 630, 6518, 594, 3494, 568, 1631, 538, 2046, 1070, 814, 13175, 1776, 6310, 11036, 267, 12077, 513, 968, 307, 9581, 26264, 892, 547, 957, 607, 513, 23789, 585, 6310, 15361, 543, 2553, 269, 6892, 7033, 814, 2907, 3323, 519, 3440, 12902, 609, 1896, 6079, 4930, 593, 1010, 1378, 5816, 267, 543, 4280, 803, 547, 849, 3565, 930, 4930, 269, 1109, 630, 2026, 594, 1174, 621, 267, 891, 4930, 786, 581, 28953, 547, 519, 26264, 538, 513, 1906, 3275, 267, 2899, 621, 568, 4628, 1305, 909, 267, 543, 1287, 789, 786, 11457, 609, 1196, 1080, 543, 7418, 676, 4896, 945, 16858, 547, 12334, 538, 267, 538, 519, 6891, 540, 9504, 282, 538, 1880, 267, 4930, 616, 711, 5497, 547, 581, 18385, 30363, 610, 9896, 676, 1022, 2582, 23784, 24355, 3383, 2221, 594, 8910, 899, 547, 1376, 676, 25935, 930, 1570, 689, 606, 2025, 2022, 540, 9553, 593, 968, 8649, 680, 2305, 267, 11737, 14141, 267, 543, 519, 21723, 1379, 8945, 892, 630, 553, 1134, 607, 689, 930, 540, 519, 8292, 1070, 543, 14291, 621, 547, 519, 570, 9581, 26264, 3898, 267, 1247, 849, 2921, 519, 4316, 547, 1039, 513, 1906, 811, 1806, 780, 17138, 281, 634, 21723, 1379, 8945, 692, 30022, 6609, 281, 1403, 835, 6499, 547, 6961, 606, 8635, 1269, 311, 1422, 19008, 962, 259, 585, 930, 1875, 24308, 9424, 2473, 267, 962, 267, 855, 666, 1152, 1294, 875, 547, 6961, 513, 29610, 268, 710, 638, 1275, 1269, 311, 1422, 19008, 595, 312, 259, 602, 19380, 513, 3818, 2364, 894, 3586, 595, 267, 1287, 2119, 547, 5372, 782, 3615, 3238, 538, 519, 1966, 676, 968, 339, 16428, 7060, 892, 540, 2933, 543, 4019, 519, 29610, 268, 710, 638, 1275, 547, 1346, 7060, 269, 1109, 1403, 782, 4422, 1134, 267, 835, 666, 1397, 602, 1269, 311, 317, 300, 1422, 19008, 595, 962, 317, 300, 259, 585, 782, 1269, 300, 1422, 28254, 476, 272, 8961, 609, 513, 3586, 595, 799, 568, 4830, 540, 631, 267, 799, 10522, 602, 1269, 311, 1422, 19008, 962, 259, 607, 5551, 676, 2921, 1269, 300, 3867, 628, 4151, 5072, 543, 1287, 2921, 7182, 607, 1269, 300, 1422, 1729, 1422, 13727, 10608, 0, 299, 15145, 268, 274, 7304, 7416, 266, 663, 266, 27987, 692, 258, 774, 626, 4286, 1993, 23251, 9084, 4754, 10106, 965, 1729, 325, 553, 629, 1105, 691, 692, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 476, 271, 2600, 568, 1978, 547, 2049, 269, 27159, 609, 513, 5506, 540, 4642, 786, 2760, 2049, 269, 7151, 30692, 32207, 534, 7577, 779, 2250, 9193, 5815, 602, 519, 17831, 540, 519, 533, 612, 574, 2065, 267, 1034, 2693, 267, 543, 23904, 4093, 616, 476, 1839, 9077, 476, 2004, 9077, 543, 476, 1839, 9077, 6606, 269, 8074, 602, 519, 2040, 540, 891, 17831, 1590, 3160, 476, 1911, 260, 282, 602, 568, 267, 789, 1590, 581, 1759, 593, 782, 519, 8925, 2808, 269, 476, 2641, 17438, 20518, 1903, 17438, 20518, 1903, 589, 5506, 3892, 568, 513, 2203, 602, 12211, 17831, 547, 519, 2404, 4093, 269, 634, 14724, 1826, 540, 5506, 3892, 568, 519, 3046, 5750, 267, 799, 2982, 1152, 513, 3908, 1297, 540, 6364, 1700, 22238, 1464, 10974, 269, 634, 3046, 12125, 585, 22374, 7577, 779, 7221, 589, 543, 645, 616, 3254, 538, 519, 1739, 7612, 1547, 4014, 1312, 7221, 723, 519, 1482, 1034, 2693, 2132, 267, 519, 2039, 540, 2132, 568, 1454, 3152, 267, 610, 811, 24797, 267, 585, 10697, 645, 982, 585, 10697, 589, 1765, 1626, 2600, 8957, 476, 275, 2600, 269, 476, 2420, 4446, 15873, 585, 2667, 564, 589, 543, 645, 779, 17776, 4446, 15873, 585, 2667, 564, 589, 543, 645, 779, 17776, 476, 2537, 17438, 20518, 1903, 17438, 20518, 1903, 1403, 649, 6785, 782, 519, 2009, 4093, 543, 2404, 17831, 267, 649, 1223, 1020, 513, 6024, 5506, 3892, 269, 901, 1826, 540, 3892, 666, 581, 2219, 540, 607, 513, 3046, 5750, 585, 513, 1360, 1804, 1297, 540, 4093, 269, 634, 1739, 4137, 6799, 6024, 5506, 14778, 585, 7221, 589, 543, 645, 269, 8074, 602, 4352, 7221, 589, 543, 645, 723, 519, 1482, 1034, 2693, 2132, 630, 1428, 2600, 1070, 519, 3892, 540, 7024, 585, 10697, 645, 814, 1454, 3152, 24980, 982, 519, 3892, 585, 10697, 589, 269, 22682, 267, 10697, 645, 568, 811, 19408, 982, 10697, 589, 269, 476, 2190, 23120, 17438, 20518, 1903, 23120, 17438, 20518, 1903, 476, 1839, 11485, 6482, 11485, 6482, 769, 1840, 547, 6236, 922, 2039, 267, 519, 1981, 540, 606, 10697, 666, 581, 6027, 11050, 569, 676, 1210, 7194, 269, 3371, 649, 2015, 1079, 7194, 9789, 3044, 11539, 543, 519, 11664, 540, 8390, 1765, 602, 666, 581, 1031, 547, 2268, 519, 13260, 540, 10697, 7024, 269, 9208, 8061, 2747, 634, 1034, 1455, 8579, 13525, 540, 606, 10697, 779, 1981, 568, 519, 3044, 11539, 267, 799, 3800, 519, 12165, 328, 2483, 8698, 9509, 11657, 692, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 258, 1215, 798, 596, 14458, 11196, 274, 22677, 273, 270, 274, 4297, 263, 275, 22677, 272, 270, 275, 4297, 2496, 9802, 476, 4029, 267, 476, 1001, 278, 692, 7445, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 2410, 274, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 2410, 275, 14990, 2431, 264, 815, 910, 1422, 6912, 314, 1321, 31765, 275, 866, 3445, 275, 348, 815, 910, 476, 273, 269, 280, 6078, 278, 6911, 2971, 19247, 1384, 1103, 27847, 23055, 649, 723, 1269, 274, 259, 543, 1269, 275, 259, 607, 32159, 269, 1924, 1577, 721, 2569, 873, 547, 1455, 32159, 1775, 4318, 269, 1269, 1321, 259, 607, 1269, 1321, 259, 568, 717, 7374, 540, 1269, 274, 259, 543, 1269, 275, 10608, 9747, 692, 7445, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 2410, 274, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 2410, 275, 14990, 2431, 22491, 284, 4399, 3847, 8987, 2715, 274, 23685, 2765, 346, 273, 1422, 9392, 476, 275, 2410, 274, 1422, 9392, 476, 275, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 272, 1422, 9392, 476, 274, 2410, 275, 1422, 9392, 476, 274, 14990, 2431, 22491, 284, 4399, 3847, 8987, 2715, 274, 23685, 2765, 346, 279, 2410, 1321, 14990, 2431, 264, 1422, 3847, 20719, 275, 23685, 2765, 346, 274, 2410, 1321, 14990, 2431, 22491, 284, 12276, 3847, 8987, 2715, 274, 8703, 279, 348, 1422, 9392, 2715, 275, 8703, 274, 4153, 2431, 264, 23685, 2765, 346, 272, 2410, 1321, 32556, 284, 12276, 3847, 8987, 476, 4792, 277, 272, 1422, 9392, 476, 5038, 9368, 264, 23685, 2765, 346, 272, 2410, 1321, 32556, 284, 1269, 268, 1422, 6912, 314, 1321, 31765, 275, 866, 3445, 275, 10592, 18823, 1211, 958, 267, 621, 568, 3160, 547, 1269, 268, 476, 273, 269, 280, 6078, 278, 259, 0, 258, 32341, 2436, 972, 6818, 513, 3802, 540, 2597, 4010, 737, 692, 13706, 519, 1739, 1966, 1384, 19152, 281, 513, 9859, 3113, 1269, 294, 815, 630, 309, 267, 292, 12101, 18652, 7751, 1141, 4399, 18652, 2433, 661, 1422, 14075, 21375, 1422, 13992, 346, 313, 20954, 1079, 14622, 1269, 341, 318, 272, 267, 642, 318, 273, 1422, 514, 966, 8961, 543, 513, 2597, 1269, 330, 1422, 514, 1422, 13992, 346, 313, 10592, 9223, 281, 6496, 972, 2291, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 259, 609, 2597, 4010, 1269, 330, 259, 2496, 763, 2597, 540, 513, 3802, 568, 3274, 519, 2040, 540, 782, 8728, 538, 519, 2619, 269, 8074, 602, 519, 3802, 666, 2270, 9979, 780, 3674, 713, 1966, 1232, 22421, 286, 1772, 972, 1022, 5690, 547, 4194, 713, 1966, 267, 952, 594, 1810, 1405, 1416, 827, 519, 4881, 942, 286, 3733, 1966, 568, 602, 2094, 649, 666, 723, 8728, 22051, 609, 2901, 2318, 610, 2942, 9981, 267, 621, 568, 2182, 547, 3313, 950, 547, 3247, 610, 2490, 1394, 950, 621, 4991, 1932, 1970, 610, 1932, 1164, 780, 2690, 1383, 267, 2016, 519, 3113, 1269, 294, 259, 1141, 1269, 309, 815, 1422, 346, 642, 318, 272, 267, 341, 318, 273, 1422, 4151, 543, 1269, 292, 815, 1422, 346, 324, 318, 272, 281, 263, 341, 318, 272, 267, 341, 268, 272, 1070, 552, 318, 273, 281, 263, 341, 318, 272, 267, 341, 318, 273, 9385, 4151, 543, 4399, 18652, 16216, 318, 272, 6661, 268, 273, 259, 543, 4399, 18652, 16216, 318, 273, 6661, 272, 8961, 519, 2243, 1223, 581, 568, 972, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 259, 609, 2597, 1269, 268, 4200, 10608, 634, 5690, 1058, 2161, 9811, 267, 607, 972, 568, 513, 3802, 4358, 689, 1269, 341, 318, 272, 259, 543, 1582, 8520, 532, 476, 2004, 2053, 936, 6316, 1269, 324, 318, 272, 259, 1354, 2921, 6316, 1269, 324, 318, 273, 259, 543, 2165, 3215, 780, 296, 5892, 4280, 827, 519, 6988, 540, 513, 2147, 1966, 1934, 267, 855, 972, 594, 729, 5059, 593, 519, 6988, 540, 519, 1966, 269, 11524, 723, 3254, 602, 713, 1966, 568, 26128, 3620, 731, 269, 4746, 267, 519, 5892, 2243, 4280, 827, 513, 2619, 267, 6466, 1934, 594, 993, 6998, 827, 513, 3802, 630, 320, 14584, 1522, 581, 10272, 2789, 2053, 5148, 519, 4528, 609, 10092, 568, 538, 26128, 543, 3976, 1232, 22421, 267, 855, 1934, 594, 993, 6998, 827, 15211, 2864, 982, 10092, 780, 30860, 602, 713, 1966, 568, 711, 24735, 267, 7361, 1317, 649, 616, 6158, 827, 15211, 2864, 982, 2241, 10092, 269, 1703, 568, 1100, 513, 1991, 328, 5580, 3808, 593, 519, 3259, 540, 513, 3802, 689, 1269, 341, 318, 272, 259, 547, 1269, 341, 318, 273, 8961, 865, 1175, 679, 10179, 908, 782, 2009, 15211, 1522, 2760, 2165, 3729, 269, 4746, 267, 519, 3113, 1223, 2270, 28354, 1082, 9979, 267, 543, 519, 3802, 1522, 3643, 930, 540, 873, 1022, 1297, 540, 2053, 269, 1656, 267, 972, 568, 1100, 6654, 5580, 3808, 593, 519, 1297, 540, 2053, 602, 649, 29906, 1022, 2016, 4783, 269, 769, 1880, 267, 621, 568, 711, 6654, 2436, 713, 1966, 568, 538, 26128, 610, 711, 269, 589, 3551, 5786, 547, 8870, 5276, 5752, 630, 534, 8870, 4756, 585, 1142, 6316, 267, 10203, 875, 1082, 2053, 519, 3802, 21986, 525, 602, 6316, 264, 8255, 883, 519, 7411, 602, 621, 568, 711, 2312, 875, 547, 2327, 602, 596, 723, 513, 3802, 543, 711, 513, 2095, 780, 1892, 7490, 1810, 1405, 12575, 513, 2243, 676, 4946, 834, 3633, 3951, 281, 930, 3063, 8631, 2668, 5502, 267, 12575, 519, 2243, 547, 581, 1018, 621, 1058, 723, 1044, 689, 519, 1376, 267, 1775, 4318, 1421, 547, 581, 1582, 8410, 22633, 585, 2576, 945, 13341, 621, 689, 519, 4098, 269, 1703, 568, 1100, 991, 547, 8190, 519, 1991, 4528, 540, 519, 2243, 281, 649, 723, 513, 14469, 1686, 585, 602, 269, 1107, 1109, 291, 15030, 269, 9484, 476, 3066, 1412, 1691, 693, 476, 1626, 281, 4391, 454, 1892, 1215, 568, 713, 1631, 1114, 689, 519, 533, 1640, 2243, 286, 7671, 310, 781, 2626, 972, 2829, 602, 621, 781, 26128, 10687, 10968, 267, 799, 4267, 707, 2243, 269, 1403, 621, 781, 711, 834, 13700, 20190, 257, 607, 646, 2829, 267, 2307, 585, 27792, 538, 513, 6085, 269, 1107, 1109, 305, 777, 3873, 601, 9484, 476, 3066, 1412, 1691, 693, 476, 1704, 281, 7918, 454, 1892, 4706, 513, 1114, 1966, 267, 1354, 649, 1152, 4847, 513, 2619, 1063, 14622, 267, 855, 1631, 649, 1450, 513, 3802, 5627, 7368, 14622, 269, 1107, 1109, 307, 344, 2401, 667, 6324 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4335, 1296, 269, 6736, 513, 4050, 31008, 585, 1514, 2257, 3822, 267, 519, 4589, 6707, 14377, 513, 16854, 2179, 540, 1699, 10618, 1382, 593, 519, 5137, 543, 2226, 766, 540, 3661, 1949, 883, 606, 3015, 1433, 269, 834, 21848, 540, 31666, 7701, 257, 6054, 519, 4473, 540, 10229, 267, 519, 7771, 540, 9758, 1857, 11407, 267, 543, 519, 7915, 12178, 540, 4557, 2034, 3280, 321, 2572, 538, 8159, 938, 13821, 267, 2115, 267, 543, 3853, 269, 4329, 267, 789, 1469, 519, 2189, 7965, 538, 1818, 513, 834, 16884, 257, 3375, 538, 513, 3728, 19550, 267, 5048, 1673, 1619, 267, 2527, 2173, 4215, 2528, 269, 901, 1008, 25607, 543, 23892, 1433, 849, 19267, 513, 5732, 6926, 752, 4605, 585, 3013, 781, 11180, 5389, 269, 18641, 267, 519, 4589, 1683, 3988, 609, 834, 534, 19070, 531, 257, 540, 7214, 2645, 547, 1232, 1712, 6835, 543, 2149, 6000, 269, 1306, 519, 4589, 9959, 267, 834, 933, 1590, 4096, 593, 938, 1378, 1702, 540, 18259, 12485, 543, 938, 1378, 3646, 547, 1521, 1271, 2152, 607, 952, 789, 941, 5963, 1271, 4799, 1607, 1433, 729, 513, 1483, 21898, 256, 594, 2356, 1224, 513, 476, 4968, 2985, 1433, 538, 827, 1079, 3108, 543, 993, 1031, 547, 2542, 998, 873, 3533, 543, 3478, 5196, 519, 1985, 835, 269, 901, 1433, 729, 865, 4241, 602, 594, 30281, 1524, 547, 1118, 2386, 602, 594, 3893, 1169, 3787, 540, 1344, 856, 540, 621, 602, 729, 2139, 563, 1607, 1433, 1058, 581, 2838, 2542, 585, 3025, 945, 6499, 547, 917, 875, 789, 616, 1373, 6766, 676, 519, 6725, 1004, 267, 796, 2675, 14442, 592, 748, 6455, 1004, 267, 1381, 3401, 267, 6608, 543, 1866, 3260, 619, 540, 3310, 269, 898, 568, 513, 9488, 1576, 538, 875, 547, 5544, 606, 3801, 547, 13861, 596, 543, 875, 596, 666, 20272, 519, 3510, 547, 1294, 952, 621, 568, 2731, 1945, 596, 1616, 610, 711, 563, 2005, 814, 930, 540, 519, 1034, 2347, 5796, 593, 875, 547, 4983, 606, 6221, 543, 875, 547, 4431, 540, 1022, 1433, 593, 3310, 602, 594, 723, 1224, 269, 2201, 519, 834, 288, 257, 1592, 540, 1590, 22345, 2835, 563, 517, 2904, 476, 2537, 267, 476, 1220, 272, 454, 20091, 713, 1433, 4547, 547, 2247, 513, 4583, 10839, 676, 12253, 28732, 269, 898, 4422, 1945, 899, 713, 281, 834, 2252, 782, 1250, 22590, 941, 3144, 689, 803, 267, 609, 835, 9868, 267, 594, 1131, 3442, 547, 1832, 519, 1379, 540, 1250, 1913, 267, 585, 676, 621, 594, 1131, 4166, 22919, 782, 519, 1964, 4799, 2252, 596, 2811, 5461, 538, 1565, 811, 827, 519, 1379, 1913, 543, 741, 2702, 547, 5083, 340, 1228, 543, 3310, 267, 713, 568, 11613, 2838, 2542, 563, 763, 4589, 3277, 596, 547, 19421, 540, 2413, 1554, 1806, 543, 3621, 2090, 910, 6029, 596, 1018, 2553, 960, 267, 543, 1946, 269, 3509, 540, 519, 1034, 2500, 11580, 540, 30373, 1031, 676, 2229, 267, 14078, 267, 543, 5310, 1256, 707, 20148, 267, 616, 782, 7000, 563, 6826, 2062, 8705, 2740, 267, 2705, 281, 1411, 3513, 2760, 1413, 693, 513, 7641, 5010, 267, 11356, 267, 12139, 267, 610, 1857, 4013, 519, 1482, 1259, 1586, 630, 296, 4126, 1040, 3367, 621, 267, 543, 3262, 519, 2262, 563, 517, 5412, 476, 1626, 267, 476, 1220, 277, 454, 296, 993, 1603, 513, 5098, 585, 513, 1250, 4487, 781, 593, 14868, 267, 543, 11341, 602, 547, 18259, 267, 799, 3366, 803, 547, 713, 1433, 563, 296, 666, 1405, 2161, 2614, 1390, 1919, 827, 713, 1433, 269, 594, 12211, 782, 540, 519, 2093, 547, 4948, 2049, 1734, 1455, 547, 519, 834, 26792, 2006, 8487, 1607, 1433, 568, 1390, 585, 1382, 267, 543, 849, 1175, 547, 1451, 875, 519, 1158, 568, 2731, 10443, 563, 517, 4873, 476, 1704, 267, 476, 1220, 280, 454, 296, 1031, 547, 4074, 13124, 2445, 1344, 594, 1336, 593, 2923, 3310, 269, 6520, 540, 31666, 7701, 3568, 971, 513, 5318, 5044, 540, 1806, 540, 519, 632, 680, 22789, 946, 540, 18259, 282, 24903, 519, 2014, 540, 1082, 540, 938, 530, 3996, 607, 513, 2486, 267, 602, 594, 1631, 7048, 8185, 593, 713, 1433, 585, 1382, 563, 763, 11271, 9293, 540, 21478, 543, 24436, 538, 3776, 1261, 6758, 616, 4502, 519, 3902, 540, 519, 1433, 4805, 269, 1809, 621, 4422, 1454, 2417, 982, 602, 282, 6313, 3929, 19131, 542, 267, 4250, 543, 16203, 538, 10229, 543, 1256, 519, 6530, 3297, 1381, 338, 563, 763, 8545, 1641, 568, 1250, 835, 9880, 540, 713, 1433, 282, 594, 3494, 519, 2984, 540, 6424, 918, 2803, 327, 941, 29959, 547, 27313, 1125, 513, 1895, 799, 729, 267, 3274, 2322, 267, 2527, 659, 1042, 676, 5310, 711, 9409, 267, 855, 6157, 804, 3241, 612, 543, 538, 6016, 656, 2229, 8069, 563, 2467, 616, 8938, 835, 3817, 540, 8100, 267, 865, 519, 1543, 542, 676, 930, 602, 519, 1433, 3884, 1405, 20483, 909, 676, 2614, 2963, 4667, 547, 803, 19039, 569, 3765, 7666, 3660, 563, 517, 5412, 476, 2537, 267, 476, 1001, 274, 454, 1607, 568, 513, 1455, 2631, 1433, 602, 3877, 519, 2553, 1031, 676, 519, 1977, 2797, 1062, 547, 1852, 519, 13999, 269, 3013, 814, 2760, 2731, 1044, 513, 1360, 10995, 1747, 267, 865, 621, 729, 2141, 2653, 585, 18348, 3401, 547, 2220, 26295, 741, 1259, 538, 563, 25567, 753, 1589, 789, 2661, 538, 513, 9111, 267, 855, 789, 2965, 2661, 538, 513, 23654, 2782, 3557, 6417, 676, 519, 2923, 267, 14078, 543, 519, 14547, 267, 799, 946, 967, 24934, 337, 1588, 538, 3506, 267, 1920, 267, 543, 960, 547, 3337, 16496, 8186, 269, 7136, 633, 7449, 1938, 547, 29904, 20874, 1832, 29601, 593, 1344, 543, 1004, 267, 1500, 2653, 998, 6639, 7835, 543, 1344, 13936, 538, 5904, 269, 10555, 543, 804, 663, 32347, 4914, 834, 1417, 619, 540, 4987, 257, 630, 5746, 288, 267, 715, 6347, 264, 13230, 2112, 609, 1158, 11615, 543, 1875, 10687, 680, 5050, 3401, 563, 3528, 4758, 519, 13999, 3232, 6027, 9424, 540, 31666, 7701, 267, 789, 616, 2111, 547, 13861, 873, 543, 1256, 946, 873, 2509, 741, 5413, 630, 5408, 634, 5062, 10111, 20321, 16527, 910, 7920, 4550, 268, 10919, 626, 27421, 1040, 1358, 946, 796, 514, 845, 894, 834, 18080, 257, 5641, 338, 630, 325, 2683, 609, 2283, 1049, 1570, 1070, 9184, 331, 1355, 19761, 267, 27127, 2762, 267, 4641, 7641, 267, 3728, 1426, 267, 8446, 609, 2319, 5026, 267, 3092, 547, 3337, 12705, 762, 543, 1875, 2275, 15560, 8186, 563, 2005, 781, 513, 7168, 2653, 21037, 267, 607, 1034, 4892, 5749, 1405, 1360, 2111, 547, 10646, 602, 741, 12058, 616, 7432, 547, 13134, 267, 1346, 945, 798, 1589, 616, 3533, 16701, 5344, 676, 519, 967, 24934, 337, 1588, 1062, 1369, 610, 1500, 883, 513, 1875, 6253, 805, 563, 14187, 1433, 269, 18320, 3983, 1100, 835, 786, 1224, 621, 267, 4849, 538, 2342, 563, 517, 5147, 476, 1839, 267, 476, 1001, 272, 454, 15987, 11875, 3999, 1488, 6425, 517, 781, 1412, 763, 4317, 10960, 262, 568, 606, 6909, 1433, 267, 543, 5693, 21490, 519, 1259, 267, 1412, 21848, 540, 31666, 7701, 262, 568, 519, 2582, 1655, 267, 1034, 8532, 762, 1433, 856, 972, 269, 898, 14509, 899, 513, 17680, 6137, 3209, 267, 543, 22851, 519, 5467, 998, 946, 540, 1806, 689, 2442, 2528, 543, 1134, 8153, 3377, 2984, 563, 763, 1433, 568, 1360, 2653, 547, 1174, 543, 9305, 547, 267, 799, 568, 5310, 1946, 621, 1568, 865, 1134, 563, 296, 723, 11751, 713, 1433, 1896, 2053, 936, 519, 2250, 4557, 610, 865, 1296, 267, 543, 2016, 621, 607, 513, 10516, 547, 2828, 5461, 538, 10017, 543, 929, 520, 673, 3156, 540, 5369, 563, 9336, 1268, 594, 723, 2016, 621, 547, 814, 711, 1044, 4744, 777, 31212, 267, 543, 814, 5555, 9684, 539, 803, 585, 519, 1433, 563, 296, 6415, 909, 547, 476, 1321, 1114, 2828, 563, 2026, 594, 723, 11751, 519, 1433, 1082, 2053, 267, 594, 723, 8068, 602, 1169, 4528, 540, 519, 1433, 568, 513, 2370, 1114, 269, 898, 3576, 9236, 513, 1906, 1114, 8747, 609, 1250, 2828, 267, 855, 267, 594, 8068, 602, 2398, 520, 16988, 529, 2965, 2242, 543, 10311, 519, 1806, 538, 519, 1433, 563, 1607, 568, 27229, 547, 948, 519, 1433, 3251, 811, 4143, 910, 621, 781, 513, 13085, 2856, 563, 7069, 1152, 9880, 540, 834, 21848, 540, 31666, 7701, 257, 568, 519, 6151, 1379, 540, 519, 960, 282, 1310, 2542, 621, 267, 594, 5433, 602, 621, 1223, 581, 1031, 607, 513, 1907, 547, 9718, 1996, 1739, 9420, 569, 910, 610, 1175, 607, 1574, 6053, 519, 9258, 563, 2005, 781, 2212, 344, 8631, 267, 543, 267, 1310, 596, 1224, 621, 267, 596, 949, 1589, 1018, 594, 2219, 281, 834, 32452, 910, 594, 9327, 1405, 1616, 713, 9991, 883, 519, 4636, 3946, 4799, 15563, 910, 824, 8039, 723, 5018, 513, 2797, 16786, 1369, 713, 1433, 910, 543, 910, 602, 568, 10750, 569, 7301, 269, 2755, 972, 616, 2797, 1806, 630, 16269, 616, 2442, 2528, 543, 3377, 1070, 789, 616, 1031, 547, 2491, 1808, 1514, 268, 17595, 2553, 693, 960, 910, 543, 4986, 811, 269, 11109, 1224, 519, 1433, 1896, 2053, 609, 1896, 1114, 21820, 267, 594, 723, 711, 8068, 1022, 2797, 16786, 610, 6249, 543, 594, 723, 2938, 1896, 1114, 5011, 540, 519, 2797, 8552, 1031, 607, 1806, 540, 4480, 269, 4329, 267, 607, 519, 1806, 616, 7683, 4657, 267, 1082, 540, 1346, 8292, 543, 824, 8039, 827, 1412, 335, 11823, 16786, 262, 1100, 3476, 1256, 4019, 910, 607, 519, 1806, 723, 1044, 8242, 609, 1007, 2797, 5515, 267, 27504, 267, 2797, 6105, 267, 543, 865, 1721, 628, 563, 763, 1152, 16786, 594, 723, 2938, 568, 519, 3586, 5048, 2429, 519, 21820, 912, 257, 2791, 1810, 1405, 723, 547, 581, 524, 2106, 673, 910, 855, 581, 811, 26617, 1701, 0, 30726, 2065, 540, 610, 581, 7257, 1154, 513, 3659, 454, 282, 6029, 11505, 281, 513, 7874, 28551, 563, 3697, 513, 3659, 282, 2186, 282, 5363, 281, 513, 2370, 7874, 5796, 563, 325, 2948, 2406, 26356, 282, 20916, 547, 29343, 267, 948, 267, 610, 1489, 281, 513, 7874, 4871, 563, 2254, 20935, 610, 693, 13065, 282, 993, 27809, 281, 513, 7874, 10617, 1222, 282, 7874, 25165, 563, 324, 6470, 547, 946, 267, 7500, 267, 1174, 267, 3092, 269, 630, 17141, 1031, 538, 4999, 2567, 513, 7082, 7888, 6044, 8261, 282, 513, 7874, 1426, 16267, 563, 293, 5987, 17349, 568, 519, 2034, 17581, 676, 519, 3703, 4224, 1895, 29571, 16466, 269, 634, 17581, 454, 13195, 3812, 676, 29571, 16466, 543, 8841, 717, 2459, 693, 14675, 9828, 267, 5507, 563, 26239, 11618, 585, 3659, 17349, 693, 634, 28445, 2593, 609, 1863, 2228, 519, 28445, 2676, 656, 11618, 267, 543, 8847, 269, 9218, 543, 6478, 540, 519, 4303, 563, 320, 269, 10886, 2065, 540, 610, 1969, 532, 607, 513, 3659, 281, 513, 7874, 28551, 282, 568, 7874, 609, 1010, 454, 31371, 26092, 269, 536, 269, 4934, 4707, 543, 16990, 538, 1514, 1894, 281, 513, 7874, 804, 17064, 269, 524, 563, 9616, 519, 946, 540, 910, 974, 609, 519, 8231, 2443, 4352, 519, 2995, 518, 543, 519, 6075, 4769, 1405, 2408, 547, 581, 2828, 267, 519, 2995, 518, 729, 1210, 5432, 1893, 607, 513, 1259, 540, 1373, 7874, 563, 288, 2147, 946, 540, 519, 512, 14243, 3029, 568, 3592, 519, 2343, 891, 2395, 538, 519, 2854, 1893, 891, 2395, 676, 890, 1862, 2859, 19314, 9596, 811, 827, 3659, 17349, 610, 524, 643, 1006, 267, 6382, 1634, 607, 519, 1148, 540, 3282, 532, 519, 454, 20253, 1564, 540, 1514, 5872, 267, 543, 1373, 513, 16990, 13959, 563, 11779, 569, 6161, 267, 1719, 267, 610, 1489, 2999, 1492, 1920, 729, 16397, 676, 519, 454, 23136, 17349, 540, 519, 22205, 12233, 285, 14271, 11618, 993, 640, 267, 1649, 5271, 565, 775, 2676, 297, 517, 5500, 14478, 1200, 267, 1010, 4158, 4064, 8066, 9039, 540, 519, 6107, 610, 3659, 17349, 1352, 454, 8145, 14801, 269, 7102, 4960, 540, 3106, 602, 2482, 538, 519, 3659, 17349, 540, 513, 2178, 5428, 538, 454, 12901, 11618, 281, 4652, 5987, 17349, 269, 771, 3697, 4810, 607, 606, 9000, 540, 3659, 17349, 563, 15650, 281, 993, 545, 1464, 267, 993, 545, 629, 30276, 269, 513, 771, 514, 743, 1588, 547, 29170, 7758, 269, 1434, 786, 267, 1434, 15884, 563, 13971, 476, 1839, 267, 476, 1001, 273, 3267, 31541, 17349, 568, 1373, 513, 1434, 3659, 267, 998, 1434, 2053, 543, 3983, 269, 1411, 1491, 606, 454, 15517, 538, 824, 1004, 543, 1118, 873, 1745, 20888, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 263, 272, 267, 2979, 269, 10339, 8987, 323, 2700, 8987, 272, 267, 476, 272, 267, 1535, 267, 586, 264, 1262, 273, 9984, 26444, 1038, 2979, 269, 10339, 8987, 323, 2700, 263, 272, 267, 476, 271, 267, 1535, 267, 586, 264, 1262, 273, 11723, 311, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 994, 312, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 994, 1721, 1535, 538, 2473, 912, 825, 585, 586, 538, 962, 912, 1038, 952, 3375, 3287, 267, 586, 264, 2525, 272, 912, 2018, 12301, 19502, 3287, 267, 586, 267, 834, 337, 266, 5602, 1038, 3116, 912, 2018, 12301, 19502, 3287, 267, 586, 267, 834, 2692, 5602, 10823, 20481, 4590, 0, 18411, 7529, 4499, 2525, 454, 274, 291, 14649, 7120, 454, 7529, 4499, 2525, 692, 20779, 2970, 566, 540, 513, 2596, 14649, 7120, 538, 476, 274, 291, 563, 18257, 692, 5228, 544, 680, 4671, 944, 330, 1080, 6230, 7120, 274, 323, 1104, 16547, 525, 274, 291, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 3698, 1224, 274, 7894, 4202, 6600, 32327, 2187, 825, 3758, 815, 1930, 6600, 32327, 267, 1412, 337, 5073, 825, 1899, 815, 3758, 18667, 1467, 4590, 825, 521, 696, 272, 815, 11713, 825, 521, 696, 273, 815, 11713, 825, 1247, 1899, 912, 1038, 1899, 815, 1899, 18622, 2897, 28361, 333, 3299, 1412, 30386, 1038, 1899, 815, 1899, 21858, 3488, 30386, 1038, 952, 7003, 263, 1467, 264, 2999, 476, 277, 912, 2018, 2736, 454, 1038, 31575, 272, 815, 1496, 15615, 263, 1467, 314, 271, 25818, 10581, 263, 1467, 314, 272, 25818, 10581, 263, 1467, 314, 273, 8079, 2639, 1038, 521, 696, 272, 6910, 6025, 5404, 272, 994, 1038, 31575, 273, 815, 1496, 15615, 263, 1467, 314, 274, 25818, 10581, 263, 1467, 314, 275, 25818, 10581, 263, 1467, 314, 276, 8079, 2639, 1038, 521, 696, 273, 6910, 6025, 5404, 273, 994, 1038, 1899, 815, 3758, 18667, 1467, 4590, 825, 2132, 521, 696, 272, 267, 521, 696, 273, 7531, 14808, 815, 12301, 8807, 2682, 4590, 1314, 815, 4453, 14491, 5334, 889, 7120, 263, 9340, 267, 16879, 8782, 274, 323, 17210, 333, 815, 476, 1911, 692, 338, 696, 272, 267, 521, 696, 273, 815, 1224, 274, 7894, 4202, 3488, 4944, 1877, 303, 1206, 17902, 17210, 258, 1280, 1142, 1305, 540, 2511, 543, 2039, 5468, 267, 4729, 562, 4351, 2798, 538, 519, 4216, 454, 258, 3989, 676, 1535, 538, 1496, 2537, 267, 476, 3953, 3910, 586, 538, 1496, 271, 267, 476, 1911, 3910, 1990, 538, 1496, 345, 869, 267, 1990, 14683, 14073, 1721, 1775, 538, 2039, 263, 271, 267, 7003, 4433, 696, 272, 15892, 825, 28887, 272, 815, 521, 696, 272, 5157, 2639, 825, 28887, 273, 815, 521, 696, 273, 5157, 2639, 825, 4949, 31892, 2660, 263, 696, 272, 314, 271, 3910, 28887, 272, 314, 272, 3910, 28887, 272, 314, 273, 3910, 524, 8782, 337, 3299, 15262, 8782, 334, 5073, 825, 4949, 31892, 2660, 263, 696, 273, 314, 271, 3910, 28887, 273, 314, 272, 3910, 28887, 273, 314, 273, 3910, 524, 8782, 321, 3299, 15262, 8782, 317, 17210, 1314, 15630, 13448, 16932, 3488, 311, 22443, 5073, 1314, 15630, 318, 29786, 3488, 312, 22443, 5073, 1314, 15630, 318, 345, 16932, 3488, 313, 22443, 17210, 10823, 20481, 3890, 0, 454, 15161, 815, 22373, 15812, 639, 2580, 834, 19878, 807, 2580, 834, 16655, 2580, 834, 13900, 1457, 257, 6540, 258, 1820, 263, 15161, 314, 271, 7481, 258, 1820, 263, 15161, 314, 272, 7481, 258, 1820, 263, 15161, 314, 273, 7481, 258, 1820, 263, 15161, 314, 274, 20285, 15161, 314, 272, 316, 815, 834, 297, 2544, 345, 5016, 322, 3300, 815, 476, 271, 454, 6112, 4831, 2999, 7003, 263, 15161, 2187, 825, 1948, 1820, 19304, 6262, 3300, 1341, 476, 272, 264, 1341, 834, 281, 834, 1341, 1004, 314, 322, 3300, 7481, 825, 1820, 2891, 24001, 281, 15079, 2668, 8971, 6262, 3300, 1341, 476, 272, 267, 1004, 314, 322, 3300, 28413, 825, 4831, 6834, 476, 272, 0, 454, 3698, 1250, 288, 342, 13135, 305, 27654, 31262, 27182, 17107, 825, 9258, 17504, 815, 834, 5016, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 27182, 15892, 1038, 11604, 303, 657, 815, 7003, 27182, 264, 910, 328, 910, 272, 454, 1038, 11604, 4131, 614, 815, 2262, 314, 18029, 2928, 303, 657, 6540, 1038, 9258, 17504, 6834, 11604, 4131, 614, 692, 825, 2132, 9258, 17504, 692, 3698, 21686, 2005, 10000, 27182, 17107, 825, 546, 14414, 17504, 815, 834, 5016, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 27182, 15892, 1038, 952, 1775, 3436, 476, 271, 912, 2018, 546, 14414, 17504, 6834, 29038, 4840, 1038, 546, 14414, 17504, 6834, 2262, 5157, 6540, 825, 2132, 546, 14414, 17504, 692, 5320, 815, 834, 10946, 574, 27482, 4840, 516, 341, 815, 1250, 288, 342, 13135, 305, 27654, 31262, 27182, 994, 323, 14414, 3725, 341, 815, 21686, 2005, 10000, 263, 516, 341, 2020, 2745, 5560, 14414, 3725, 341, 264, 0, 258, 17692, 29865, 4932, 19006, 692, 720, 815, 476, 278, 692, 2745, 2891, 4047, 17247, 302, 10590, 2020, 604, 2085, 13843, 476, 1240, 912, 825, 1820, 2891, 17647, 513, 14420, 32405, 12828, 912, 825, 952, 2085, 3436, 476, 277, 912, 1038, 1820, 2891, 5970, 513, 535, 761, 345, 32405, 825, 3116, 912, 1038, 1820, 2891, 5970, 930, 5144, 10590, 2020, 2745, 2891, 21715, 5602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 2450, 540, 519, 5705, 872, 609, 476, 275, 543, 476, 276, 607, 9136, 568, 476, 274, 543, 476, 273, 6606, 269, 3973, 267, 1317, 519, 5705, 872, 609, 476, 275, 568, 1804, 267, 649, 2161, 602, 476, 275, 568, 519, 5230, 5067, 540, 476, 274, 267, 4448, 609, 513, 5230, 6316, 269, 634, 5067, 5044, 538, 519, 3009, 5638, 519, 7329, 540, 519, 5230, 5067, 609, 519, 1699, 6843, 607, 519, 2385, 6843, 780, 10190, 519, 1985, 1900, 568, 547, 946, 519, 5044, 547, 7941, 519, 5832, 998, 519, 1665, 540, 519, 5230, 5067, 1175, 1631, 780, 3499, 961, 2250, 314, 301, 316, 270, 265, 288, 11837, 540, 546, 12028, 1931, 547, 1448, 10974, 265, 32551, 4206, 338, 314, 301, 316, 270, 265, 4206, 338, 1931, 540, 519, 1448, 265, 32551, 9008, 314, 301, 3910, 339, 582, 267, 551, 337, 314, 301, 30092, 341, 1355, 6376, 17301, 1093, 328, 267, 842, 512, 335, 264, 2260, 763, 1448, 543, 519, 1283, 540, 519, 5230, 5832, 1141, 519, 1699, 1448, 568, 4092, 454, 19127, 9008, 314, 335, 16211, 24557, 339, 335, 3248, 4206, 338, 314, 335, 16211, 24557, 10030, 339, 582, 3248, 335, 770, 314, 339, 582, 24557, 335, 16211, 3248, 604, 4433, 517, 314, 335, 16211, 8079, 6376, 4433, 517, 314, 335, 16211, 3910, 339, 335, 5148, 2260, 24876, 10862, 547, 519, 5230, 5832, 454, 1721, 17301, 1775, 284, 515, 314, 335, 16211, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 256, 284, 5459, 314, 335, 16211, 316, 261, 261, 30198, 256, 284, 17304, 314, 335, 16211, 8079, 6376, 6025, 541, 25722, 541, 5148, 2260, 2775, 5832, 454, 8679, 551, 337, 314, 335, 16211, 24557, 339, 582, 282, 2260, 763, 2039, 540, 5705, 872, 568, 546, 12028, 314, 335, 16211, 316, 349, 551, 337, 314, 335, 16211, 3910, 799, 5638, 519, 5021, 546, 12028, 1931, 540, 5705, 872, 609, 1093, 328, 607, 3597, 454, 8679, 7884, 763, 524, 13700, 5044, 1934, 5638, 519, 5021, 546, 12028, 27402, 540, 1142, 5705, 872, 267, 799, 568, 2965, 519, 3259, 540, 1142, 5832, 15652, 780, 10190, 267, 538, 1931, 547, 7520, 519, 13214, 540, 891, 11800, 267, 649, 991, 547, 946, 930, 824, 1239, 3889, 547, 2226, 891, 11800, 269, 3371, 267, 519, 1507, 9375, 3096, 513, 10126, 3529, 780, 3499, 842, 7003, 282, 2260, 2690, 546, 12028, 1931, 5638, 540, 1899, 10126, 3529, 2676, 560, 1192, 6843, 454, 19127, 842, 561, 267, 337, 267, 573, 331, 267, 573, 337, 270, 265, 4002, 519, 1297, 540, 2451, 543, 1318, 14930, 540, 7003, 781, 11837, 265, 270, 3248, 961, 524, 267, 17218, 282, 2260, 322, 2594, 519, 2597, 540, 5230, 5832, 454, 348, 29728, 314, 301, 30092, 341, 1355, 1899, 4671, 872, 17301, 1535, 267, 842, 586, 994, 19127, 10030, 6352, 3248, 29728, 314, 6352, 4940, 331, 24210, 3248, 29728, 314, 6352, 4940, 337, 284, 344, 3248, 29728, 314, 6352, 4940, 17218, 284, 271, 3248, 604, 3287, 2525, 344, 994, 19127, 29728, 314, 6352, 4940, 573, 331, 284, 29728, 314, 6352, 4940, 573, 337, 15871, 272, 3248, 29728, 314, 6352, 4940, 322, 284, 1998, 314, 335, 770, 20572, 14963, 282, 2260, 10831, 25528, 1394, 547, 519, 3312, 1292, 3529, 454, 8679, 12828, 454, 19127, 842, 1631, 284, 6352, 267, 13232, 14352, 343, 20742, 264, 9563, 272, 3248, 29728, 314, 852, 4940, 573, 331, 284, 6352, 266, 272, 267, 1467, 4671, 872, 3287, 267, 13232, 11850, 29728, 314, 852, 4940, 573, 337, 284, 6352, 266, 272, 267, 1467, 4671, 872, 9852, 573, 266, 272, 11971, 11850, 29728, 314, 852, 4940, 322, 284, 29728, 314, 29728, 314, 852, 4940, 573, 331, 4940, 322, 266, 29728, 314, 29728, 314, 852, 4940, 573, 337, 4940, 322, 3248, 8679, 8679, 341, 1355, 2366, 17301, 1535, 264, 2260, 2690, 519, 4647, 5106, 540, 519, 1899, 10126, 3529, 267, 519, 3735, 851, 568, 27823, 454, 19127, 604, 6025, 872, 20572, 4940, 17218, 994, 19127, 29728, 20572, 4940, 322, 23785, 29728, 20572, 4940, 17218, 16732, 29728, 20572, 4940, 337, 2389, 872, 20572, 4940, 331, 266, 272, 11850, 842, 7117, 284, 29728, 20572, 4940, 573, 331, 28872, 284, 29728, 20572, 4940, 573, 337, 3248, 604, 32429, 256, 15871, 272, 264, 3529, 314, 336, 4940, 17218, 23785, 29728, 20572, 4940, 17218, 25722, 872, 314, 335, 4940, 17218, 23785, 29728, 20572, 4940, 17218, 282, 2260, 2252, 972, 568, 513, 5067, 1310, 713, 6843, 267, 519, 4647, 5106, 568, 5340, 454, 29728, 20572, 4940, 17218, 284, 271, 3248, 8679, 8679, 7884, 2080, 267, 649, 946, 519, 2497, 607, 519, 3529, 1770, 267, 799, 568, 811, 10375, 585, 10916, 269, 769, 1249, 267, 621, 568, 25528, 998, 519, 2039, 540, 1142, 5832, 538, 519, 3529, 269, 769, 713, 1259, 267, 998, 519, 6498, 540, 5230, 5832, 543, 1769, 5832, 267, 519, 942, 6988, 540, 561, 1758, 666, 581, 6913, 585, 1142, 13214, 780, 1103, 1249, 267, 519, 13214, 666, 581, 7691, 1934, 269, 1215, 547, 1689, 519, 2597, 538, 519, 3529, 780, 3499, 341, 1355, 1689, 17301, 1631, 267, 842, 1535, 267, 842, 586, 267, 842, 1990, 994, 19127, 604, 6025, 872, 314, 852, 4940, 331, 2525, 343, 261, 261, 29728, 314, 852, 4940, 337, 2525, 344, 994, 19127, 29728, 314, 852, 4940, 17218, 23785, 345, 3248, 338, 550, 263, 852, 11850, 8873, 3248, 8679, 338, 550, 263, 852, 11850, 842, 7117, 284, 29728, 314, 852, 4940, 573, 331, 28872, 284, 29728, 314, 852, 4940, 573, 337, 3248, 842, 4571, 14352, 29728, 314, 852, 4940, 331, 266, 29728, 314, 852, 4940, 337, 264, 9563, 272, 3248, 604, 12169, 27045, 13232, 264, 1689, 32429, 21726, 11971, 267, 345, 11850, 12828, 952, 3287, 285, 13232, 264, 1689, 9638, 21726, 11971, 267, 345, 11850, 12828, 1689, 32429, 21726, 267, 13232, 267, 345, 1070, 4219, 9638, 267, 13232, 266, 272, 11971, 267, 345, 11850, 29728, 314, 852, 4940, 322, 266, 14352, 344, 14870, 266, 272, 12684, 345, 3248, 8679, 7884, 1103, 1249, 267, 1934, 568, 547, 12189, 519, 3259, 540, 519, 5832, 547, 7520, 519, 2597, 6771, 267, 543, 12189, 519, 2040, 1871, 538, 519, 1858, 780, 9202, 267, 649, 786, 13214, 780, 3499, 341, 1355, 561, 8619, 17301, 1535, 267, 842, 586, 267, 842, 1990, 994, 19127, 6112, 6025, 641, 20572, 316, 256, 284, 9008, 314, 344, 8079, 2260, 8253, 593, 835, 5832, 454, 19127, 604, 5560, 788, 314, 9008, 20572, 14963, 285, 24119, 314, 9008, 314, 344, 316, 8079, 23396, 3287, 11971, 5148, 2260, 763, 9949, 1871, 540, 2620, 3178, 568, 586, 10862, 547, 18178, 519, 14584, 3178, 540, 5230, 5832, 454, 4219, 263, 272, 267, 4206, 338, 314, 9008, 314, 344, 316, 3910, 4206, 338, 314, 344, 3910, 345, 5148, 2260, 9359, 689, 519, 1101, 6989, 454, 344, 284, 17304, 314, 9008, 314, 344, 14963, 3248, 8679, 604, 5560, 788, 20572, 316, 285, 24119, 314, 344, 8079, 23396, 3287, 11971, 5148, 2260, 1410, 4219, 454, 4219, 263, 272, 267, 4206, 338, 20572, 3910, 4206, 338, 314, 344, 3910, 345, 5148, 2260, 2691, 538, 519, 1482, 5230, 5832, 267, 9337, 1586, 454, 8679, 7884, 331, 8619, 568, 1031, 1934, 269, 4595, 519, 7329, 540, 519, 3312, 3529, 568, 2016, 1934, 267, 649, 991, 547, 946, 519, 7329, 540, 519, 25528, 10126, 3529, 267, 865, 649, 991, 547, 946, 546, 12028, 547, 1265, 621, 689, 519, 1101, 4494, 540, 519, 10126, 3529, 780, 3499, 341, 1355, 2040, 17301, 1535, 267, 842, 586, 264, 2260, 26574, 2040, 540, 7194, 1535, 349, 344, 454, 19127, 961, 20735, 284, 271, 3248, 6112, 6025, 641, 20572, 316, 256, 284, 9008, 314, 344, 7481, 19127, 604, 5560, 788, 314, 9008, 20572, 14963, 285, 24119, 314, 9008, 314, 344, 316, 8079, 23396, 3287, 11971, 11850, 753, 14352, 753, 266, 1326, 23544, 263, 272, 267, 4206, 338, 314, 9008, 314, 344, 316, 3910, 4206, 338, 314, 344, 8079, 260, 335, 264, 260, 335, 3248, 344, 284, 17304, 314, 9008, 314, 344, 14963, 3248, 8679, 604, 5560, 788, 20572, 316, 285, 24119, 314, 344, 8079, 23396, 3287, 11971, 11850, 753, 23785, 1326, 23544, 263, 272, 267, 4206, 338, 20572, 3910, 4206, 338, 314, 344, 316, 5148, 2260, 2704, 2819, 593, 519, 1482, 5230, 5832, 454, 802, 263, 753, 260, 335, 1070, 1584, 10420, 28361, 333, 10807, 3248, 8679, 7884, 28415, 3009, 692, 3499, 258, 514, 2850, 283, 322, 560, 323, 1470, 11417, 258, 514, 2850, 283, 328, 739, 3195, 11417, 6748, 4408, 10628, 31901, 3248, 1399, 6244, 1030, 1279, 1279, 26270, 3248, 6247, 26270, 715, 284, 273, 324, 276, 266, 1556, 3248, 961, 562, 31599, 267, 337, 28872, 3248, 842, 1904, 21726, 11971, 267, 345, 3248, 961, 524, 660, 267, 1998, 314, 301, 3910, 1729, 314, 301, 3910, 515, 314, 301, 3910, 333, 868, 314, 301, 30092, 19127, 961, 1535, 343, 284, 271, 3248, 10420, 524, 284, 1326, 10420, 3890, 3248, 6112, 6262, 283, 262, 271, 262, 1475, 322, 285, 262, 280, 10807, 524, 284, 1326, 10420, 3890, 3248, 6112, 6262, 285, 8782, 271, 262, 261, 261, 322, 283, 8782, 280, 5073, 19127, 16282, 14352, 16282, 28843, 272, 11924, 263, 16282, 28843, 274, 11924, 322, 268, 262, 271, 262, 3248, 322, 284, 1326, 10420, 3890, 3248, 8679, 8873, 1535, 343, 3248, 8679, 341, 1355, 31872, 263, 961, 1003, 994, 19127, 604, 16325, 285, 280, 264, 31872, 16325, 270, 1015, 961, 11850, 1584, 10420, 16325, 260, 1015, 22065, 271, 10807, 3248, 8679, 19127, 10030, 322, 660, 3248, 333, 868, 314, 322, 660, 24557, 515, 314, 340, 30092, 515, 314, 340, 24557, 322, 660, 3248, 1729, 314, 322, 660, 24557, 341, 3248, 8679, 961, 521, 714, 314, 301, 3910, 24119, 314, 301, 3910, 5459, 314, 301, 3910, 17304, 314, 301, 22049, 2260, 306, 517, 568, 519, 11282, 540, 519, 1390, 5067, 4171, 22660, 568, 1535, 454, 341, 1355, 1628, 4671, 872, 17301, 1631, 994, 19127, 338, 714, 314, 852, 24557, 272, 282, 2260, 23917, 540, 3355, 1436, 3529, 454, 1721, 17301, 1775, 284, 515, 314, 852, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 2525, 17304, 314, 852, 8079, 3136, 3248, 17304, 314, 30198, 24557, 852, 267, 24119, 314, 30198, 24557, 24119, 314, 852, 27994, 272, 3248, 28265, 4671, 872, 6025, 541, 11850, 338, 714, 314, 852, 316, 23785, 338, 714, 314, 30198, 30092, 604, 4433, 714, 314, 30198, 316, 285, 338, 714, 314, 5459, 314, 852, 316, 8079, 5067, 314, 852, 24557, 30198, 3248, 8679, 8679, 961, 2250, 314, 301, 316, 270, 265, 288, 11837, 540, 546, 12028, 1931, 547, 1448, 10974, 265, 32551, 4206, 338, 314, 301, 316, 270, 265, 4206, 338, 1931, 540, 519, 1448, 265, 32551, 9008, 314, 301, 3910, 339, 582, 267, 551, 337, 314, 301, 30092, 341, 1355, 6376, 17301, 1093, 328, 267, 842, 512, 335, 264, 2260, 763, 1448, 543, 519, 1283, 540, 519, 5230, 5832, 1141, 519, 1699, 1448, 568, 4092, 454, 19127, 9008, 314, 335, 16211, 24557, 339, 335, 3248, 4206, 338, 314, 335, 16211, 24557, 10030, 339, 582, 3248, 335, 770, 314, 339, 582, 24557, 335, 16211, 3248, 604, 4433, 517, 314, 335, 16211, 8079, 6376, 4433, 517, 314, 335, 16211, 3910, 339, 335, 5148, 2260, 24876, 10862, 547, 519, 5230, 5832, 454, 1721, 17301, 1775, 284, 515, 314, 335, 16211, 22049, 328, 282, 328, 284, 333, 868, 5157, 7481, 19127, 842, 13545, 284, 1729, 5157, 30092, 604, 6025, 541, 256, 284, 5459, 314, 335, 16211, 316, 261, 261, 30198, 256, 284, 17304, 314, 335, 16211, 8079, 6376, 6025, 541, 25722, 541, 5148, 2260, 2775, 5832, 454, 8679, 551, 337, 314, 335, 16211, 24557, 339, 582, 282, 2260, 763, 2039, 540, 5705, 872, 568, 546, 12028, 314, 335, 16211, 316, 349, 551, 337, 314, 335, 16211, 3910, 799, 5638, 519, 5021, 546, 12028, 1931, 540, 5705, 872, 609, 1093, 328, 607, 3597, 454, 8679, 842, 7003, 282, 2260, 2690, 546, 12028, 1931, 5638, 540, 1899, 10126, 3529, 2676, 560, 1192, 6843, 454, 19127, 842, 561, 267, 337, 267, 573, 331, 267, 573, 337, 270, 265, 4002, 519, 1297, 540, 2451, 543, 1318, 14930, 540, 7003, 781, 11837, 265, 270, 3248, 961, 524, 267, 17218, 282, 2260, 322, 2594, 519, 2597, 540, 5230, 5832, 454, 348, 29728, 314, 301, 30092, 341, 1355, 1899, 4671, 872, 17301, 1535, 267, 842, 586, 994, 19127, 10030, 6352, 3248, 29728, 314, 6352, 4940, 331, 24210, 3248, 29728, 314, 6352, 4940, 337, 284, 344, 3248, 29728, 314, 6352, 4940, 17218, 284, 271 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 1422, 3847, 315, 13997, 325, 4153, 3847, 263, 271, 9368, 9385, 2431, 315, 18098, 3847, 28381, 271, 9368, 315, 21456, 4375, 476, 4343, 1535, 701, 336, 273, 323, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 21508, 480, 9943, 315, 3847, 315, 13997, 325, 4153, 3847, 263, 271, 9368, 9385, 2431, 315, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 2412, 476, 2190, 476, 4375, 552, 336, 339, 6113, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 2715, 325, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 6078, 17093, 268, 271, 335, 20270, 414, 488, 351, 2410, 271, 13925, 8740, 507, 13157, 11433, 480, 9943, 315, 3847, 28381, 271, 9368, 315, 21456, 5655, 476, 2412, 476, 6078, 861, 331, 277, 18091, 337, 20270, 414, 488, 351, 4153, 3847, 7268, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 342, 8354, 2715, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 9385, 1729, 2715, 325, 13157, 346, 271, 13925, 8740, 507, 21456, 6246, 476, 5655, 608, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 1422, 3847, 20719, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 1729, 2715, 325, 13157, 346, 271, 13925, 8740, 507, 4153, 2431, 7751, 454, 4510, 476, 6246, 683, 935, 274, 611, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 1422, 3847, 20719, 325, 4153, 928, 2715, 271, 13925, 8740, 507, 4153, 1729, 2485, 361, 346, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 7751, 454, 3393, 476, 1240, 476, 4510, 544, 335, 323, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 2485, 361, 346, 343, 4153, 514, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 14204, 5379, 476, 3393, 552, 336, 271, 6113, 341, 20270, 414, 488, 351, 4153, 3847, 20719, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 342, 8354, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 9368, 9385, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 14204, 5325, 476, 5379, 608, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 2431, 7751, 454, 4366, 546, 23950, 743, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 1729, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 514, 2715, 11433, 499, 13925, 271, 21456, 5392, 562, 333, 271, 613, 271, 20270, 414, 488, 351, 4153, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 514, 2715, 11433, 499, 13925, 271, 4153, 1729, 476, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 7751, 454, 2004, 476, 736, 476, 4366, 476, 5392, 476, 274, 1910, 331, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 476, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 7751, 454, 7906, 7329, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 14204, 7367, 476, 271, 21129, 20270, 414, 488, 351, 4153, 341, 7568, 5847, 1422, 514, 1422, 9507, 346, 19226, 21456, 7871, 476, 7906, 476, 7367, 861, 331, 277, 18091, 601, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 2715, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 21456, 7918, 476, 7871, 1979, 656, 337, 6324, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 264, 16378, 498, 315, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 4649, 535, 557, 336, 273, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 347, 7807, 3847, 24689, 341, 7568, 5847, 1422, 2431, 347, 14204, 6321, 19474, 271, 20270, 414, 488, 351, 4153, 3847, 24689, 341, 7568, 5847, 1422, 2431, 347, 284, 271, 14204, 6872, 476, 4649, 476, 6321, 861, 331, 277, 18091, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 347, 284, 271, 14204, 6812, 476, 6872, 1786, 336, 272, 323, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 264, 16378, 498, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 7751, 454, 6795, 476, 7918, 476, 6812, 3787, 337, 274, 323, 20270, 414, 488, 351, 2410, 346, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 7268, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 264, 16378, 498, 271, 315, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 7751, 454, 2568, 476, 2004, 476, 6795, 861, 331, 276, 2320, 1260, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 7807, 341, 7568, 5847, 1422, 1729, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 8618, 476, 5325, 476, 2568, 861, 671, 20270, 414, 488, 351, 2410, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 1729, 1422, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 514, 1422, 9507, 346, 19226, 4153, 342, 8354, 1422, 3847, 347, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847, 28381, 271, 9368, 315, 4153, 2431, 316, 315, 2431, 24689, 548, 1422, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 9385, 2431, 9385, 2431, 7751, 454, 7830, 476, 8618, 678, 2102, 20270, 414, 488, 351, 4153, 1721, 718, 2715, 325, 4153, 514, 1422, 3847, 7268, 9507, 346, 28139, 4153, 3847, 263, 11433, 480, 9368, 9385, 3553, 2381, 639, 1422, 3847, 315, 13997, 271, 13925, 8740, 507, 4153, 2431, 315, 4153, 2431, 9385, 28783, 3189, 22364, 346, 269, 275, 655, 2410, 271, 1410, 14990, 3847, 7268, 9507, 18097, 1122, 4153, 3847, 20719, 325, 4153, 2431, 6661, 271, 29540, 1422, 3847, 263, 13997, 325, 3686, 13064, 272, 4153, 3847, 24560, 3847 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2404, 609, 4389, 3635, 4390, 543, 4057, 5834, 282, 2360, 602, 949, 581, 31903, 676, 18024, 269, 5637, 18024, 543, 4887, 25026, 4094, 22930, 723, 1044, 2404, 609, 5945, 543, 10913, 3034, 763, 19002, 1590, 723, 1434, 840, 3766, 877, 4189, 6208, 1991, 547, 519, 3014, 607, 1134, 607, 20697, 269, 4634, 538, 21617, 3275, 20697, 568, 1360, 1271, 269, 4340, 547, 30078, 13437, 267, 9232, 519, 1764, 540, 19346, 21455, 1282, 519, 3368, 942, 8884, 1223, 1134, 4096, 2390, 519, 1991, 4189, 6208, 540, 519, 6345, 269, 6684, 267, 519, 556, 5139, 1674, 2115, 267, 543, 4061, 519, 12117, 540, 3368, 942, 556, 5139, 1674, 2994, 267, 786, 4096, 593, 840, 3766, 877, 20697, 4567, 607, 1454, 607, 519, 4730, 2175, 543, 6345, 960, 3928, 269, 11846, 6484, 1235, 2324, 609, 30856, 13477, 17502, 1356, 15731, 723, 7074, 602, 5716, 1419, 2490, 909, 547, 2866, 1447, 5688, 958, 19872, 1282, 4411, 4365, 982, 538, 519, 28555, 3275, 269, 901, 949, 581, 1813, 547, 5716, 2285, 1447, 10862, 950, 519, 3141, 568, 711, 695, 15619, 543, 616, 23387, 540, 519, 2799, 1216, 11517, 9271, 538, 4411, 2175, 269, 715, 19153, 267, 2523, 32690, 267, 949, 2061, 9854, 543, 2569, 4887, 25574, 538, 519, 2034, 3368, 269, 634, 1034, 1271, 23386, 4503, 538, 17570, 568, 9770, 3034, 3383, 1934, 568, 519, 15059, 607, 7150, 676, 30078, 13437, 2223, 1454, 1382, 6920, 547, 5372, 9761, 267, 1648, 10053, 3536, 609, 811, 19346, 269, 1677, 11694, 1379, 547, 2597, 5223, 282, 1142, 6121, 540, 19346, 6740, 607, 4887, 25026, 4094, 568, 3808, 547, 476, 274, 326, 540, 1216, 267, 865, 952, 513, 6345, 6238, 609, 476, 4335, 326, 540, 4887, 25026, 4094, 543, 713, 568, 1031, 1282, 519, 3014, 621, 786, 5305, 476, 272, 269, 276, 326, 540, 1216, 269, 901, 5950, 1216, 568, 1271, 950, 6236, 519, 5714, 543, 1648, 4170, 693, 3368, 942, 269, 1703, 723, 1044, 5359, 540, 13558, 5716, 9561, 2185, 547, 2947, 20990, 829, 5662, 540, 17570, 538, 1360, 3905, 543, 18519, 5054, 543, 909, 547, 1614, 20990, 538, 22465, 16374, 267, 17570, 9271, 6251, 547, 1079, 20990, 829, 5662, 616, 811, 6093, 269, 769, 971, 2665, 267, 513, 3368, 942, 5714, 4616, 540, 1063, 476, 4335, 543, 476, 8517, 332, 3149, 1058, 581, 6190, 547, 2061, 6175, 538, 1560, 2527, 3152, 982, 476, 272, 260, 1282, 519, 2034, 3368, 563, 3383, 3314, 267, 19346, 15165, 543, 23386, 10682, 568, 1883, 585, 3368, 942, 2773, 547, 2057, 2530, 540, 4887, 25026, 4094, 267, 2061, 18024, 267, 2061, 9854, 543, 4887, 25574, 269, 1280, 2245, 19160, 267, 596, 666, 1869, 1832, 519, 10538, 21100, 1932, 563, 13126, 281, 30078, 13437, 281, 21009, 6066, 6484, 0, 14071, 2461, 27102, 519, 3409, 2223, 519, 11347, 1767, 563, 10673, 3534, 22415, 1117, 1524, 519, 10689, 11319, 1200, 5604, 7450, 3592, 6806, 563, 14881, 6557, 711, 2469, 547, 1689, 1250, 2247, 3034, 22081, 666, 596, 798, 602, 9495, 5213, 3534, 4280, 563, 2108, 5591, 7128, 1867, 729, 19429, 269, 589, 7198, 31713, 519, 2272, 3034, 2108, 9515, 15861, 1352, 729, 593, 1200, 1591, 6049, 2223, 5213, 3534, 1486, 6479, 563, 2108, 9515, 7012, 1406, 593, 1200, 6049, 3034, 10673, 3534, 779, 5639, 22815, 1027, 519, 6821, 269, 3213, 22086, 619, 1835, 532, 539, 1524, 519, 10689, 563, 9515, 1185, 4503, 1852, 563, 6944, 1503, 543, 1445, 454, 1432, 5012, 547, 856, 6361, 20820, 2623, 286, 634, 4806, 4667, 547, 581, 912, 268, 23985, 856, 540, 707, 1852, 4523, 454, 268, 898, 6927, 282, 596, 1745, 12219, 454, 268, 2659, 1445, 568, 593, 3843, 547, 1852, 1018, 568, 856, 540, 707, 1852, 454, 268, 1411, 616, 856, 540, 1852, 607, 10002, 8793, 2623, 3217, 936, 454, 763, 3152, 519, 9228, 3463, 267, 519, 811, 1582, 20820, 568, 2838, 269, 634, 811, 596, 1416, 267, 519, 811, 707, 1582, 20820, 786, 581, 7318, 563, 6944, 1503, 543, 519, 1480, 2783, 454, 20236, 880, 1145, 568, 513, 851, 540, 519, 1480, 2783, 563, 8005, 3085, 1406, 1616, 1018, 789, 1616, 267, 950, 789, 1616, 621, 286, 898, 779, 2067, 547, 13404, 593, 707, 1378, 5413, 610, 2115, 543, 6336, 8289, 540, 519, 824, 1268, 267, 2523, 538, 519, 4090, 540, 4655, 269, 674, 745, 1598, 566, 14556, 5809, 950, 6788, 616, 711, 1558, 563, 12024, 513, 555, 2794, 538, 519, 3781, 267, 7050, 6161, 609, 1582, 5932, 9228, 6937, 538, 4948, 4205, 269, 23299, 547, 3635, 1582, 20820, 15583, 919, 707, 2566, 267, 1437, 908, 519, 4339, 610, 8184, 3210, 563, 1607, 12214, 5114, 3123, 606, 2333, 538, 2295, 2557, 267, 1973, 2604, 267, 543, 7244, 2557, 547, 581, 4712, 585, 6370, 269, 2755, 1390, 585, 519, 26570, 267, 971, 513, 3210, 568, 10002, 8793, 538, 519, 9036, 563, 17730, 2230, 585, 1852, 454, 2414, 1489, 1582, 20820, 596, 1590, 10605, 3054, 269, 12861, 2230, 547, 1589, 538, 519, 968, 1740, 2897, 26570, 892, 568, 2838, 547, 7639, 519, 6049, 7125, 267, 11401, 267, 543, 796, 995, 325, 2683, 6788, 563, 17730, 2230, 547, 1589, 3340, 596, 547, 1491, 1852, 540, 3054, 269, 3371, 616, 2185, 3268, 547, 948, 596, 3035, 968, 10628, 3054, 892, 912, 303, 815, 23249, 543, 13236, 454, 288, 815, 2307, 2055, 454, 290, 815, 4161, 707, 4978, 454, 292, 815, 12575, 519, 1650, 454, 268, 623, 1021, 543, 13236, 1107, 901, 2337, 3500, 1919, 1524, 267, 12777, 543, 28772, 10999, 282, 3247, 543, 1589, 454, 268, 9105, 2055, 1107, 4208, 798, 594, 1745, 12219, 286, 1548, 993, 594, 12922, 540, 286, 1548, 798, 594, 1616, 585, 713, 2078, 286, 1548, 1705, 594, 2503, 286, 12984, 621, 10853, 2507, 888, 268, 7420, 707, 4978, 1107, 1548, 993, 594, 16561, 607, 3020, 267, 1318, 1631, 286, 1548, 616, 1250, 10054, 888, 268, 22478, 519, 1650, 1107, 1548, 798, 594, 1616, 585, 713, 2078, 286, 1548, 1590, 594, 798, 585, 602, 547, 4755, 888, 2691, 596, 968, 303, 19781, 3054, 892, 596, 1711, 2230, 547, 3635, 1582, 20820, 543, 1732, 2164, 563, 2691, 5213, 3534, 10630, 593, 519, 1650, 1352, 7691, 1352, 5059, 593, 1018, 729, 856, 540, 1200, 1852, 3079, 540, 1200, 2623, 269, 1548, 1223, 1352, 723, 2944, 8335, 888, 2691, 538, 4655, 1141, 798, 596, 1445, 888, 2080, 779, 547, 707, 8921, 5426, 267, 0, 301, 710, 3275, 1310, 519, 23542, 819, 540, 9040, 686, 16549, 329, 573, 538, 15718, 617, 268, 27256, 267, 3127, 267, 538, 5412, 476, 1960, 273, 267, 513, 10554, 729, 4371, 538, 6115, 267, 667, 5861, 1421, 23032, 676, 966, 27426, 540, 3013, 267, 519, 772, 2529, 269, 7936, 540, 31155, 11445, 9699, 3474, 880, 611, 630, 13328, 9699, 13909, 1040, 6736, 519, 1249, 602, 966, 27426, 630, 19328, 264, 1185, 1044, 17049, 676, 519, 4095, 2229, 339, 585, 922, 1909, 538, 519, 9552, 540, 9040, 686, 16549, 329, 573, 543, 538, 519, 27632, 1824, 602, 4553, 267, 1896, 966, 27426, 3401, 941, 4847, 547, 7390, 519, 476, 1960, 274, 10554, 896, 519, 840, 3667, 602, 968, 17471, 17496, 476, 1220, 271, 892, 729, 17033, 513, 2686, 2680, 267, 16287, 519, 1298, 32418, 16683, 540, 4210, 9564, 966, 633, 16988, 7701, 781, 476, 6245, 274, 2232, 547, 519, 2622, 12057, 540, 9671, 687, 538, 9628, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 17323, 267, 12020, 543, 4886, 454, 268, 24205, 543, 11572, 3163 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 519, 4677, 267, 543, 6854, 972, 2394, 621, 729, 2922, 585, 519, 8227, 547, 29379, 873, 269, 901, 11587, 1932, 4797, 547, 581, 15422, 267, 543, 519, 5144, 2006, 779, 5067, 729, 1869, 23478, 519, 772, 3464, 592, 1149, 538, 519, 2038, 476, 2735, 271, 779, 547, 1665, 1010, 1920, 779, 14696, 269, 1261, 26845, 1540, 2781, 2084, 519, 6765, 950, 646, 1223, 1100, 3476, 1265, 4600, 547, 1832, 1010, 10683, 3484, 2469, 269, 634, 4587, 19946, 1131, 2995, 875, 519, 16933, 941, 24428, 593, 519, 6366, 8122, 950, 12219, 676, 555, 773, 1407, 1107, 875, 789, 8452, 972, 3788, 513, 9814, 19529, 839, 543, 17544, 1705, 711, 10460, 519, 1482, 1966, 910, 789, 941, 4443, 547, 4163, 909, 547, 519, 8122, 269, 901, 729, 2556, 607, 950, 789, 941, 2451, 3544, 519, 10051, 267, 789, 20374, 685, 16074, 269, 13518, 2705, 3788, 7164, 585, 519, 19946, 941, 26997, 547, 11291, 519, 1928, 540, 1346, 2053, 269, 15526, 729, 17237, 538, 1346, 2395, 519, 19946, 1131, 1256, 4584, 546, 9820, 625, 689, 519, 15989, 547, 948, 30993, 741, 17339, 563, 1103, 519, 4670, 968, 763, 25753, 2280, 543, 519, 4563, 1848, 631, 23950, 744, 685, 293, 5055, 615, 1399, 630, 294, 2958, 800, 3212, 1188, 264, 11432, 619, 875, 547, 2777, 519, 3703, 2011, 5443, 945, 723, 8452, 538, 7507, 5275, 12062, 269, 1261, 9597, 332, 2720, 602, 519, 772, 3464, 592, 1149, 616, 22125, 267, 543, 602, 1034, 540, 1010, 824, 5150, 4609, 941, 11338, 8572, 547, 1491, 538, 811, 1004, 269, 19198, 540, 7642, 941, 2016, 513, 4055, 829, 1920, 593, 938, 1283, 6989, 269, 634, 2146, 9333, 809, 547, 12404, 873, 543, 3049, 873, 269, 1703, 941, 7453, 3652, 269, 3143, 10618, 1063, 519, 15076, 538, 835, 4055, 729, 547, 1491, 1747, 609, 1346, 540, 1776, 269, 769, 713, 1259, 267, 1058, 835, 1268, 581, 9676, 267, 789, 1100, 2856, 540, 945, 3116, 729, 2713, 593, 519, 3791, 6989, 543, 3976, 20729, 1023, 941, 14284, 269, 1703, 568, 519, 1650, 540, 519, 812, 945, 5433, 865, 804, 320, 755, 5268, 11131, 602, 646, 581, 13949, 31274, 1836, 547, 581, 4847, 547, 3802, 5180, 519, 9018, 3774, 540, 519, 5572, 1175, 2899, 269, 1261, 729, 19230, 602, 952, 646, 2451, 519, 19235, 267, 646, 1131, 581, 9676, 5612, 676, 519, 7996, 7980, 267, 855, 646, 1223, 711, 581, 18617, 1547, 16828, 646, 4682, 1055, 1107, 543, 2760, 3357, 1394, 2336, 6624, 1296, 2663, 930, 540, 519, 3885, 540, 6014, 14538, 540, 519, 2112, 2395, 3357, 1394, 547, 519, 5572, 547, 1294, 585, 2933, 1141, 741, 11361, 1894, 1185, 1044, 2016, 9675, 689, 519, 10546, 269, 1358, 4718, 519, 3791, 6989, 267, 1141, 789, 5030, 543, 519, 6366, 8122, 1141, 519, 16933, 941, 6456, 543, 799, 849, 3177, 606, 3635, 2230, 585, 519, 7264, 634, 19946, 941, 4843, 609, 13344, 538, 14696, 585, 519, 4220, 543, 24279, 1500, 676, 519, 2146, 4180, 519, 3106, 540, 741, 3885, 454, 1911, 7642, 941, 2016, 12062, 693, 1114, 2053, 543, 538, 6284, 540, 713, 267, 6178, 7702, 1280, 333, 926, 267, 945, 1185, 18423, 609, 721, 267, 11231, 609, 519, 962, 611, 23849, 1335, 5948, 585, 519, 2022, 21065, 748, 6881, 540, 519, 29274, 540, 519, 9406, 15667, 1851, 519, 8315, 267, 547, 12624, 21322, 2473, 32667, 6742, 324, 879, 538, 519, 2012, 540, 519, 772, 3464, 592, 1149, 269, 0, 288, 7548, 540, 9553, 2366, 803, 513, 3095, 2899, 609, 519, 1362, 4967, 454, 5228, 1010, 6138, 540, 6128, 1576, 269, 3371, 781, 519, 3296, 593, 2271, 340, 819, 1143, 267, 14263, 930, 8642, 8631, 602, 4769, 1405, 5299, 9706, 4292, 563, 3719, 594, 1589, 922, 2614, 547, 2285, 596, 519, 2856, 563, 1103, 1010, 13898, 540, 9119, 1362, 4967, 267, 3220, 269, 14161, 30142, 344, 5206, 912, 8512, 4083, 281, 2271, 340, 819, 1143, 267, 589, 12059, 667, 3925, 454, 2862, 269, 272, 4937, 4985, 547, 2271, 340, 819, 1143, 454, 763, 20932, 626, 781, 4605, 540, 6128, 729, 1114, 269, 769, 6719, 513, 27402, 540, 519, 10002, 641, 983, 23006, 1014, 1935, 547, 6128, 563, 4504, 340, 819, 1143, 729, 8547, 538, 476, 5002, 278, 538, 519, 1912, 6185, 269, 12031, 540, 700, 269, 661, 269, 808, 269, 645, 709, 4546, 693, 519, 2160, 540, 24545, 269, 2991, 13629, 1010, 12031, 267, 646, 5189, 1896, 1271, 30490, 5376, 916, 267, 3976, 4758, 1864, 930, 13416, 6310, 23146, 563, 4504, 340, 819, 1143, 17947, 1079, 1271, 10952, 6436, 912, 289, 709, 4546, 781, 1684, 551, 9068, 734, 547, 581, 3020, 568, 547, 581, 4810, 282, 8726, 6818, 814, 922, 5169, 538, 938, 6857, 2219, 563, 12385, 3012, 673, 3615, 616, 7493, 267, 513, 1991, 328, 267, 3029, 540, 938, 11521, 1431, 563, 10521, 20212, 689, 23006, 454, 289, 709, 4546, 729, 513, 1151, 2354, 626, 269, 1261, 5156, 519, 1152, 2247, 729, 1010, 1378, 267, 543, 729, 1447, 7255, 609, 954, 11357, 915, 2032, 982, 729, 23006, 563, 289, 709, 4546, 15653, 519, 3409, 540, 606, 513, 1991, 328, 20932, 540, 2230, 269, 5502, 267, 646, 2219, 6128, 729, 1759, 7357, 593, 606, 513, 1991, 328, 20932, 540, 942, 282, 645, 709, 4546, 5156, 519, 2497, 540, 942, 10274, 782, 6857, 2238, 269, 634, 4527, 540, 1875, 7232, 16090, 22470, 9511, 771, 718, 3298, 513, 2582, 513, 1991, 328, 20932, 540, 2230, 563, 289, 709, 4546, 1590, 18949, 1978, 2694, 540, 6128, 2016, 1010, 1378, 10148, 269, 634, 2318, 1982, 540, 20932, 1143, 568, 513, 4070, 540, 6128, 607, 3908, 676, 645, 709, 4546, 781, 7869, 540, 3117, 4109, 1145, 269, 634, 2942, 1982, 540, 20932, 1143, 13187, 602, 3044, 6128, 568, 2965, 4636, 630, 528, 693, 2547, 22522, 1916, 289, 709, 4546, 1281, 8044, 602, 3044, 6128, 568, 22522, 282, 1010, 4661, 568, 1759, 593, 1010, 26381, 1670, 4998, 1143, 269, 645, 709, 4546, 2306, 2370, 11984, 1063, 23664, 6975, 543, 519, 15107, 517, 1235, 563, 5278, 540, 645, 709, 4546, 781, 25481, 4096, 593, 519, 13429, 602, 952, 513, 20790, 568, 3020, 267, 649, 666, 2097, 547, 917, 602, 621, 568, 3020, 563, 2862, 269, 273, 2271, 340, 819, 626, 781, 14716, 540, 519, 7849, 10606, 454, 1103, 14335, 519, 2067, 2338, 267, 972, 568, 835, 4909, 2856, 281, 1284, 723, 519, 2702, 547, 10646, 835, 3364, 689, 1776, 269, 3973, 267, 649, 1590, 7493, 689, 519, 3017, 1063, 519, 1079, 1919, 267, 543, 1205, 519, 1523, 540, 8108, 606, 11769, 609, 835, 851, 543, 1776, 851, 269, 3414, 713, 2534, 267, 519, 2067, 2338, 616, 9112, 282, 519, 2067, 1297, 835, 14687, 547, 519, 20932, 1354, 7900, 713, 2790, 2534, 267, 1247, 1079, 14687, 547, 519, 20932, 1310, 519, 2534, 269, 15901, 908, 519, 2790, 27727, 3947, 519, 7766, 2067, 2338, 269, 898, 568, 1271, 547, 13404, 1152, 593, 519, 957, 3294, 734, 7493, 539, 689, 519, 1543, 282, 835, 1590, 1413, 693, 519, 8900, 1106, 563, 7437, 713, 1505, 267, 519, 20932, 1235, 849, 17589, 519, 2596, 10230, 12427, 269, 1323, 3830, 912, 529, 519, 1867, 540, 2185, 2238, 281, 10451, 519, 2338, 267, 3168, 693, 1079, 540, 873, 1927, 267, 543, 9301, 789, 2811, 519, 1482, 607, 513, 3791, 269, 3657, 526, 19850, 1154, 263, 4649, 264, 1767, 519, 1909, 540, 513, 2979, 4116, 568, 547, 1118, 519, 2875, 4163, 856, 519, 1482, 2790, 2238, 607, 646, 1705, 563, 763, 1448, 540, 7493, 6310, 10035, 568, 547, 948, 721, 5352, 1978, 2238, 269, 16390, 540, 6128, 7493, 2476, 689, 519, 4890, 2790, 2238, 269, 8299, 571, 842, 340, 819, 1143, 4145, 3294, 609, 2168, 7687, 607, 1134, 269, 645, 709, 4546, 781, 3044, 20932, 1143, 3274, 7182, 721, 547, 1018, 568, 1710, 3202, 563, 6097, 547, 20932, 626, 3069, 267, 1487, 551, 1470, 740, 21494, 636, 15997, 616, 711, 1450, 762, 547, 6961, 602, 1945, 6818, 630, 24392, 789, 616, 11807, 585, 2942, 2164, 15301, 6321, 994, 2862, 269, 274, 2271, 340, 819, 626, 781, 14716, 540, 519, 7464, 10606, 454, 19370, 281, 634, 3105, 3157, 723, 13113, 7687, 593, 519, 1297, 540, 3268, 269, 634, 1305, 540, 1483, 2338, 3340, 20581, 538, 930, 1259, 610, 1776, 563, 289, 709, 4546, 267, 538, 1010, 12031, 630, 5002, 278, 1070, 6700, 513, 5094, 957, 540, 9637, 568, 2877, 585, 10451, 1483, 2338, 269, 1261, 1572, 621, 2712, 20932, 734, 513, 4909, 2856, 649, 782, 4865, 7222, 547, 519, 27795, 269, 634, 2712, 568, 2141, 3395, 269, 1635, 476, 4489, 279, 267, 2705, 267, 645, 709, 4546, 1185, 2016, 909, 519, 2856, 540, 519, 2712, 269, 3571, 2489, 2856, 729, 602, 621, 568, 519, 2898, 602, 568, 1271, 950, 6340, 540, 519, 1483, 2338, 269, 634, 2609, 540, 519, 2898, 616, 1287, 7493, 539, 998, 2175, 610, 7687, 269, 2290, 540, 519, 1292, 4128, 519, 2856, 540, 2712, 20932, 729, 23987, 729, 602, 621, 26218, 1022, 28879, 3730, 2497, 563, 18600, 2338, 666, 581, 2938, 607, 513, 4780, 7217, 5311, 540, 7787, 2338, 267, 855, 9696, 616, 12808, 269, 1717, 267, 513, 4020, 762, 5311, 267, 609, 513, 4542, 610, 4341, 2016, 547, 5352, 519, 2609, 267, 568, 1450, 762, 269, 4935, 267, 519, 4780, 7217, 5311, 1590, 581, 5827, 540, 1373, 6383, 676, 513, 4341, 269, 3943, 22697, 3576, 519, 2070, 602, 519, 1152, 1483, 2338, 602, 6818, 616, 1346, 602, 616, 4780, 7217, 9696, 540, 32311, 1023, 799, 616, 2301, 762, 269, 1717, 267, 645, 709, 4546, 8068, 519, 1305, 540, 2301, 762, 6620, 568, 679, 10179, 762, 630, 13757, 29039, 1297, 476, 271, 1040, 4935, 267, 649, 666, 1405, 6615, 519, 1483, 2338, 547, 713, 1305, 267, 1317, 621, 1131, 1287, 711, 723, 3601, 602, 519, 4608, 870, 762, 556, 1023, 723, 563, 289, 709, 4546, 781, 3070, 729, 513, 31633, 540, 519, 10206, 540, 606, 5690, 610, 4341, 547, 2285, 606, 4608, 870, 762, 1297, 540, 6620, 547, 2285, 1018, 568, 2877, 585, 556, 1023, 269, 901, 729, 519, 10206, 540, 513, 3903, 5311, 563, 2862, 269, 275, 14893, 14938, 1878, 454, 2419, 4069, 9696, 2099, 645, 709, 4546, 781, 1292, 9295, 547, 23006, 1014, 6128, 563, 302, 6113, 27274, 267, 606, 5690, 568, 513, 4341, 585, 12719, 519, 2609, 538, 513, 5311, 269, 5565, 1919, 21656, 606, 5690, 281, 476, 272, 264, 621, 568, 4341, 6438, 282, 543, 476, 273, 264, 621, 568, 15002, 2065, 630, 527, 3947, 4010, 835, 1871, 1040, 645, 709, 4546, 20902, 6620, 676, 3138, 657, 2287, 519, 10421, 602, 606, 5690, 581, 15002, 2065, 269, 634, 1267, 568, 513, 5311, 538, 799, 606, 3693, 540, 513, 5311, 568, 2111, 547, 581, 6074, 856, 540, 513, 1305, 540, 10457, 563, 288, 3903, 5311, 568, 2016, 676, 513, 15002, 2065, 4341, 547, 2285, 519, 1101, 1906, 2609, 267, 543, 513, 711, 16250, 947, 3320, 1673, 9057, 514, 2065, 4341, 585, 16116, 7766, 2609, 269, 645, 709, 4546, 11329, 856, 602, 713, 14687, 547, 606, 513, 1991, 328, 20932, 540, 942, 281, 519, 2250, 568, 6378, 267, 1247, 519, 2104, 5673, 593, 519, 2250, 267, 855, 1082, 7399, 2611, 563, 529, 513, 5311, 540, 32311, 1023, 563, 263, 272, 264, 815, 476, 16006, 267, 630, 273, 264, 815, 476, 16006, 267, 630, 274, 264, 815, 476, 16006, 267, 630, 275, 264, 815, 476, 16006, 454, 3799, 266, 272, 264, 568, 930, 7787, 1297, 971, 602, 912, 13295, 630, 276, 264, 568, 593, 2073, 543, 630, 277, 264, 5673, 593, 1018, 568, 13603, 585, 630, 276, 1916, 763, 28138, 3903, 5311, 568, 519, 5311, 1031, 547, 5352, 8918, 8454, 563, 13706, 3989, 4010, 607, 568, 912, 529, 513, 5311, 540, 32311, 1023, 563, 263, 272, 264, 815, 476, 16006, 267, 630, 273, 264, 815, 476, 16006, 267, 630, 274, 264, 815, 476, 16006, 267, 630, 275, 264, 815, 476, 16006, 454, 3799, 266, 272, 264, 568, 930, 7787, 1297, 971, 602, 912, 6701, 543, 519, 1482, 286, 1684, 789, 27721, 547, 519, 1482, 1483, 1297, 286, 1284, 1810, 1405, 543, 3112, 917, 256, 2368, 1271, 2055, 827, 3903, 9696, 616, 711, 2626, 762, 538, 513, 13113, 2179, 540, 942, 269, 4935, 267, 972, 568, 1100, 5168, 7282, 2055, 827, 519, 7862, 540, 543, 1547, 1284, 1810, 1405, 1256, 917, 952, 649, 3513, 917, 519, 2626, 538, 513, 13113, 2179, 540, 942, 563, 289, 709, 4546, 1185, 547, 556, 1740, 1305, 3069, 547, 14626, 728, 609, 1010, 824, 25481, 269, 7201, 1010, 4528, 540, 1305, 3069, 267, 519, 11984 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 14756, 503, 22047, 10533, 368, 12255, 12255, 14756, 482, 8147, 19867, 378, 28996, 4970, 353, 14748, 12255, 12916, 379, 23523, 501, 10524, 500, 10524, 361, 7511, 25520, 419, 511, 487, 30678, 22047, 14756, 503, 27936, 7511, 12255, 3077, 12486, 692, 12916, 510, 421, 506, 478, 28884, 14395, 508, 27064, 364, 7511, 16583, 30936, 18314, 11764, 421, 506, 478, 28884, 13213, 498, 18713, 508, 30244, 4970, 353, 14748, 12255, 7511, 31284, 21550, 485, 267, 13127, 373, 370, 4970, 498, 21588, 361, 22047, 31284, 21550, 485, 16533, 493, 30678, 21588, 361, 11590, 490, 14748, 31284, 21550, 485, 12486, 21796, 357, 418, 482, 493, 30244, 19404, 490, 31284, 21550, 485, 7511, 420, 490, 481, 18713, 368, 15159, 476, 271, 476, 28996, 562, 268, 272, 12486, 692, 21550, 371, 28032, 489, 454, 7078, 272, 912, 14756, 503, 24731, 2338, 815, 1496, 273, 267, 476, 278, 267, 476, 1556, 267, 476, 1428, 3910, 3077, 815, 476, 280, 267, 476, 13213, 498, 18713, 508, 1496, 271, 267, 476, 272, 14073, 7078, 273, 912, 14756, 503, 24731, 2338, 815, 1496, 1428, 267, 476, 273, 267, 476, 278, 267, 476, 1556, 3910, 3077, 815, 476, 280, 267, 476, 13213, 498, 18713, 508, 1496, 272, 267, 476, 273, 14073, 418, 490, 495, 16043, 502, 454, 292, 2416, 540, 519, 1739, 3435, 616, 11807, 1384, 302, 3799, 264, 6611, 267, 744, 3799, 331, 1758, 264, 5384, 454, 302, 3799, 264, 6611, 267, 744, 3799, 264, 5384, 454, 21796, 357, 418, 482, 493, 11590, 489, 421, 350, 373, 454, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 9463, 359, 20069, 13601, 14756, 482, 419, 511, 498, 418, 350, 486, 25707, 12163, 5035, 8827, 912, 825, 8173, 825, 7711, 12407, 2338, 281, 1323, 5044, 540, 6715, 518, 454, 825, 7711, 12407, 3077, 281, 3077, 815, 2338, 27709, 272, 316, 1341, 2338, 27709, 273, 2639, 825, 7711, 8873, 281, 1496, 8161, 272, 267, 4994, 273, 316, 630, 8161, 272, 2999, 4994, 273, 994, 825, 8173, 825, 1219, 1079, 11764, 4311, 267, 2338, 267, 3077, 2187, 1038, 1948, 2328, 707, 3009, 1934, 454, 1038, 585, 1775, 538, 2039, 12759, 3799, 13246, 264, 2567, 1948, 17276, 504, 368, 20693, 505, 25335, 352, 25622, 454, 2018, 795, 815, 3077, 910, 2338, 5157, 2639, 2018, 952, 630, 329, 538, 2338, 543, 2338, 28827, 27203, 264, 11203, 1775, 2187, 3546, 2132, 15044, 8443, 328, 267, 2338, 28827, 27203, 264, 8079, 0, 9336, 10831, 22091, 9426, 17342, 316, 3097, 1721, 2338, 538, 2039, 630, 6200, 2567, 3097, 825, 5272, 10831, 22091, 9426, 6910, 3799, 13246, 1262, 273, 264, 3097, 8999, 272, 284, 271, 454, 1721, 1297, 538, 5272, 10831, 22091, 9426, 912, 825, 2040, 272, 23785, 15893, 825, 692, 8999, 15058, 7272, 10062, 5332, 13246, 17342, 2639, 1721, 9704, 538, 2039, 263, 6200, 2187, 825, 2040, 15058, 7272, 10062, 5332, 13246, 6910, 5560, 580, 1080, 994, 8931, 8999, 273, 284, 271, 454, 1721, 9704, 538, 2040, 15058, 7272, 10062, 5332, 13246, 912, 825, 2040, 273, 23785, 21745, 1080, 692, 2745, 4433, 636, 273, 994, 343, 14352, 8999, 273, 1262, 273, 994, 2745, 3287, 1606, 636, 272, 264, 0, 454, 258, 519, 31554, 786, 1491, 513, 5569, 540, 6151, 3403, 689, 513, 3593, 543, 2132, 513, 4845, 602, 781, 7768, 540, 513, 1592, 540, 8913, 1255, 609, 519, 630, 307, 10498, 2894, 267, 654, 16704, 264, 6292, 902, 269, 1403, 513, 2262, 3884, 1405, 851, 540, 519, 20750, 6625, 267, 1287, 621, 1058, 1869, 2132, 476, 519, 654, 16704, 855, 1305, 519, 9215, 298, 2894, 547, 606, 5470, 18351, 269, 1452, 5470, 21797, 786, 2995, 3755, 789, 3190, 539, 909, 780, 29715, 687, 815, 18358, 333, 2180, 3299, 1412, 338, 1926, 3299, 1412, 324, 770, 3299, 1412, 8054, 3299, 1412, 6658, 3299, 1412, 1575, 3299, 1412, 3847, 3299, 1412, 2431, 3299, 1412, 3724, 23300, 18690, 815, 18358, 2998, 3299, 1412, 17380, 3299, 1412, 26973, 3299, 1412, 324, 520, 23300, 17380, 815, 18358, 1492, 3299, 1412, 514, 3299, 1412, 5228, 3299, 1412, 520, 3299, 1412, 527, 3299, 1412, 1993, 23300, 333, 10494, 815, 18358, 21830, 3299, 1412, 321, 792, 3299, 1412, 1440, 514, 947, 3299, 1412, 322, 629, 6839, 262, 6540, 454, 3698, 6460, 20311, 4433, 2187, 825, 2119, 912, 1038, 2132, 703, 4433, 994, 825, 4849, 28759, 912, 1038, 2132, 7183, 692, 3698, 11571, 9272, 23952, 2187, 825, 1913, 815, 3403, 23952, 21858, 4590, 825, 2262, 8217, 815, 11713, 825, 585, 2262, 538, 1913, 912, 1038, 952, 2262, 538, 8846, 912, 2018, 18351, 815, 1412, 323, 3925, 7055, 1038, 8640, 2262, 538, 13450, 912, 2018, 18351, 815, 1412, 14620, 7055, 1038, 8640, 2262, 538, 3247, 912, 2018, 18351, 815, 1412, 17380, 7055, 1038, 8640, 2262, 538, 17205, 912, 2018, 18351, 815, 1412, 29825, 7055, 1038, 8640, 6460, 20311, 27182, 264, 11203, 7183, 912, 2018, 18351, 815, 1412, 15893, 7055, 2018, 2262, 815, 6460, 20311, 27182, 264, 1948, 713, 568, 28537, 267, 10912, 6460, 20311, 7466, 454, 1038, 3116, 912, 2018, 18351, 815, 1412, 19587, 7055, 1038, 2262, 8217, 6910, 9230, 339, 7505, 267, 2262, 4917, 825, 2132, 2262, 8217, 692, 0, 328, 815, 476, 272, 454, 329, 815, 476, 278, 692, 1721, 1775, 538, 2039, 263, 272, 267, 1015, 267, 273, 2187, 825, 795, 815, 476, 278, 454, 825, 585, 1535, 538, 2039, 263, 274, 2187, 1038, 1820, 2891, 296, 284, 24001, 808, 284, 24001, 2668, 8971, 9217, 25814, 4917, 1038, 795, 268, 284, 272, 0, 343, 815, 703, 9272, 15405, 344, 815, 703, 9272, 15405, 338, 5448, 815, 476, 271, 692, 604, 1535, 13843, 586, 912, 825, 585, 1775, 538, 2039, 12169, 21726, 266, 272, 2187, 1038, 952, 1775, 260, 1724, 11203, 271, 912, 2018, 1474, 320, 23785, 328, 454, 12828, 912, 825, 585, 1775, 538, 2039, 3287, 11971, 266, 272, 2187, 1038, 952, 1775, 260, 1724, 11203, 271, 912, 2018, 1474, 320, 23785, 328, 692, 2745, 4433, 5448, 264, 0, 550, 2784, 320, 815, 1592, 9852, 777, 263, 15615, 267, 3403, 14061, 20889, 3890, 4917, 550, 2784, 320, 31699, 4590, 550, 2784, 320, 18622, 2091, 10797, 320, 815, 1303, 2784, 320, 314, 271, 2639, 321, 815, 1303, 2784, 320, 314, 272, 2639, 322, 815, 1303, 2784, 320, 314, 273, 6540, 604, 513, 13843, 536, 25239, 912, 825, 1820, 2891, 301, 7776, 1106, 320, 2468, 836, 25222, 2668, 21639, 15405, 12828, 1384, 825, 952, 513, 1262, 273, 2652, 630, 321, 1262, 273, 11924, 263, 322, 1262, 273, 2187, 1038, 1820, 2891, 28256, 836, 25222, 1427, 836, 25222, 2668, 21639, 31156, 825, 952, 513, 265, 320, 3436, 536, 265, 321, 1341, 524, 265, 322, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 744, 6630, 4785, 20315, 8085, 302, 15419, 825, 952, 513, 265, 320, 2999, 536, 265, 321, 1341, 524, 265, 322, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 8028, 7473, 20315, 8085, 302, 15419, 825, 952, 513, 2652, 536, 2652, 524, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 661, 12702, 6579, 2969, 2207, 302, 15419, 825, 8640, 513, 2652, 536, 610, 513, 2652, 524, 610, 536, 2652, 524, 912, 1038, 1820, 2891, 307, 6020, 20315, 8085, 302, 4959, 5308, 4753, 299, 2464, 5602, 0, 343, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 272, 267, 6200, 2187, 825, 562, 815, 703, 9272, 15405, 825, 952, 562, 285, 343, 912, 1038, 1535, 815, 562, 454, 1038, 1064, 3821, 334, 815, 1775, 454, 2745, 3287, 994, 2745, 263, 1842, 3821, 334, 264, 0, 328, 815, 476, 271, 454, 6112, 1775, 283, 273, 912, 825, 585, 795, 538, 2039, 263, 272, 267, 275, 2187, 1038, 952, 1775, 2525, 271, 610, 1775, 2652, 476, 272, 610, 1775, 13843, 476, 272, 269, 280, 912, 2018, 1820, 2891, 296, 284, 10065, 271, 325, 808, 284, 10065, 271, 325, 257, 4939, 263, 328, 25814, 266, 328, 4917, 1038, 3116, 281, 8931, 2018, 1820, 2891, 296, 284, 24001, 808, 284, 24001, 2668, 8971, 263, 1037, 9217, 267, 272, 1070, 1037, 27203, 266, 328, 267, 272, 21875, 825, 1775, 23785, 271, 269, 273, 0, 12163, 17958, 4970, 353, 14748, 21550, 486, 14395, 508, 27064, 364, 22047, 421, 502, 509, 28578, 12486, 421, 502, 509, 28578, 7511, 417, 352, 364, 13107, 492, 417, 28187, 31284, 8147, 13644, 371, 14395, 508, 27064, 364, 14395, 481, 7511, 4970, 353, 14748, 16583, 30936, 16289, 307, 841, 13127, 23687, 18419, 23175, 5236, 376, 490, 454, 26166, 10254, 360, 14395, 490, 29873, 21928, 421, 502, 509, 28578, 16533, 378, 421, 481, 357, 418, 493, 496, 24662, 10533, 368, 12255, 25520, 21928, 421, 502, 509, 28578, 14035, 368, 421, 481, 357, 10254, 510, 30522, 353, 10533, 368, 12255, 7511, 20693, 509, 420, 25693, 12486, 263, 420, 489, 354, 421, 502, 509, 28578, 18809, 418, 366, 350, 20069, 30317, 27381, 510, 8147, 1372, 8541, 23175, 1109, 418, 497, 491, 30853, 13213, 498, 18713, 508, 910, 272, 25589, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 454, 14277, 290, 20075, 826, 14824, 6572, 307, 841, 14824, 1372, 8541, 23175, 14824, 1372, 8541, 23175, 31116, 314, 314, 25662, 274, 25662, 25662, 27663, 27447, 24731, 16088, 314, 333, 1638, 19885, 1638, 267, 274, 16427, 272, 2639, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 454, 14277, 290, 20075, 826, 14824, 1372, 8541, 23175, 14824, 6572, 307, 841, 14824, 6572, 307, 841, 14824, 1372, 8541, 23175, 14824, 1372, 8541, 23175, 31116, 314, 314, 25662, 25662, 276, 25662, 273, 25662, 25662, 27663, 27447, 24731, 16088, 314, 333, 1638, 16427, 272, 19885, 1638, 19885, 1638, 267, 276, 267, 273, 2639, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 2418, 10922, 476, 1911, 876, 454, 31006, 14035, 504, 25263, 504, 28098, 1109, 6572, 307, 841, 18998, 1372, 8541, 23175, 476, 13213, 505, 27310, 1109, 1911, 876, 1109, 418, 361, 350, 420, 364, 481, 17958, 454, 20701, 5035, 595, 20075, 826, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14714, 871, 272, 815, 29571, 4590, 1038, 1582, 14714, 871, 273, 815, 29571, 10797, 825, 1219, 16289, 307, 841, 4311, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 14714, 871, 272, 4877, 2313, 263, 7407, 2020, 825, 1948, 1219, 18419, 23175, 4311, 264, 9847, 703, 912, 825, 1948, 672, 952, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 825, 1948, 1363, 2132, 910, 272, 454, 825, 1948, 454, 825, 1948, 672, 1247, 711, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 825, 1948, 1363, 1582, 14714, 871, 273, 4877, 2313, 4311, 14714, 871, 272, 21014, 15405, 825, 1948, 454, 825, 1948, 672, 1267, 815, 1582, 14714, 871, 273, 21014, 4590, 825, 1948, 672, 1247, 711, 1582, 14714, 871, 273, 18994, 318, 24105, 10031, 825, 1948, 1363, 1582, 14714, 871, 272, 4877, 2313, 4311, 14714, 871, 273, 21014, 15405, 825, 1948, 454, 825, 1948, 672, 2132, 1267, 692, 825, 1219, 18419, 23175, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 14714, 871, 273, 18994, 318, 24105, 10031, 2018, 1247, 711, 1582, 14714, 871, 272, 18994, 318, 24105, 10031, 3546, 1582, 14714, 871, 273, 4877, 2313, 4311, 14714, 871, 272, 21014, 31156, 2018, 1267, 815, 1582, 14714, 871, 273, 21014, 4590, 1038, 3116, 912, 2018, 1267, 815, 1582, 14714, 871, 273, 21014, 10797, 1038, 2132, 1267, 7531, 5035, 29571, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4289, 815, 29129, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 2132, 7003, 4311, 269, 4289, 264, 2652, 476, 271, 692, 825, 1219, 7903, 4311, 267, 1871, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 269, 4289, 6910, 263, 7407, 2020, 825, 1219, 1402, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 2132, 910, 272, 692, 1038, 2132, 1582, 269, 4289, 21014, 10797, 825, 1219, 1283, 4311, 264, 9847, 703, 912, 1038, 952, 1582, 18994, 318, 24105, 10031, 2018, 2132, 910, 272, 692, 1038, 2132, 1582, 269, 4289, 15631, 272, 6540, 454, 258, 2659, 595, 20075, 826, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 28128, 815, 595, 20075, 826, 4590, 28128, 6910, 307, 841, 263, 276, 994, 28128, 6910, 307, 841, 263, 273, 994, 2745, 263, 28128, 19709, 8541, 23175, 15405, 2745, 263, 28128, 19709, 8541, 23175, 15405, 2745, 263, 28128, 19709, 8541, 23175, 28829, 0, 12163, 14756, 503, 27936, 22047, 30837, 508, 420, 368, 509, 10533, 368, 12255, 12255, 14756, 482, 25520, 22047, 10533, 368, 12255, 1109, 332, 8147, 12916, 510, 421, 506, 478, 28884, 16533, 484, 30244, 14748, 12255, 14756, 482, 26166 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 32091, 1133, 2193, 2051, 514, 10484, 1103, 513, 2487, 981, 267, 594, 729, 14376, 547, 4194, 1269, 1321, 343, 317, 273, 910, 476, 6795, 343, 1341, 476, 7761, 284, 271, 259, 1510, 513, 9498, 269, 1772, 602, 513, 10257, 3364, 547, 2307, 2496, 25802, 594, 3433, 3798, 2750, 4897, 6874, 4381, 25826, 324, 692, 17098, 267, 17886, 4953, 292, 267, 543, 594, 1810, 1405, 16620, 596, 585, 1373, 3444, 910, 538, 513, 1875, 23343, 1529, 1807, 981, 267, 594, 6415, 711, 2386, 602, 2731, 4255, 519, 4675, 2216, 569, 12830, 10341, 596, 2811, 5921, 547, 723, 780, 6546, 1767, 267, 621, 781, 711, 7543, 780, 2162, 6396, 476, 272, 281, 1210, 519, 4542, 692, 1607, 568, 513, 3787, 22266, 267, 855, 621, 666, 581, 2944, 281, 952, 1269, 320, 284, 1321, 8961, 1269, 321, 15871, 6795, 259, 543, 1269, 322, 284, 7761, 8961, 596, 723, 4399, 2765, 346, 6795, 1422, 10975, 1422, 6912, 346, 8987, 6795, 8203, 273, 910, 476, 275, 263, 1321, 7565, 7761, 264, 12453, 273, 263, 1321, 264, 23201, 7183, 540, 602, 568, 2523, 8799, 267, 855, 1269, 6795, 317, 273, 815, 476, 4097, 279, 272, 8961, 799, 596, 1223, 1205, 676, 9750, 18159, 2568, 268, 272, 8203, 273, 259, 282, 1269, 275, 1422, 9392, 476, 1321, 1422, 9392, 476, 7761, 815, 476, 4366, 1422, 9392, 476, 7761, 815, 630, 2568, 268, 1321, 7565, 2568, 266, 1321, 264, 815, 476, 11740, 271, 910, 476, 13893, 815, 476, 24833, 277, 16859, 763, 3017, 1063, 1346, 568, 476, 1839, 267, 865, 519, 2462, 4009, 3597, 3587, 476, 276, 269, 2659, 4267, 616, 4399, 2765, 346, 6795, 1422, 10975, 476, 276, 2410, 2190, 20954, 610, 4399, 2765, 346, 5038, 2410, 2190, 18098, 2765, 346, 279, 2410, 274, 4151, 543, 4399, 2765, 346, 7918, 2410, 2190, 18098, 2765, 346, 280, 2410, 275, 31859, 2162, 6396, 476, 273, 281, 3815, 2358, 630, 272, 2020, 2791, 666, 849, 1404, 519, 834, 332, 20723, 2338, 257, 3014, 594, 4312, 14437, 827, 11992, 267, 543, 1265, 2188, 540, 1269, 1321, 1422, 9392, 476, 7761, 259, 602, 2040, 547, 1269, 268, 6795, 10608, 8074, 602, 594, 1810, 1405, 2731, 1416, 1018, 1269, 1321, 1422, 9392, 476, 7761, 259, 568, 910, 594, 6415, 1175, 2469, 547, 960, 609, 519, 2188, 827, 2394, 594, 1265, 513, 6292, 602, 1568, 780, 5278, 1919, 594, 5469, 281, 1312, 540, 519, 9059, 2338, 1590, 581, 2942, 282, 849, 267, 835, 1590, 581, 1256, 543, 835, 9642, 630, 1278, 3772, 741, 2040, 1131, 581, 1256, 6393, 4517, 8726, 1269, 1321, 1422, 9392, 476, 7761, 259, 568, 267, 621, 3085, 1405, 723, 782, 602, 1082, 9642, 2188, 269, 4706, 6305, 3815, 5314, 568, 1269, 273, 317, 276, 1422, 9392, 476, 274, 317, 274, 8961, 865, 922, 1152, 2942, 9642, 2188, 616, 910, 272, 267, 910, 274, 267, 910, 280, 543, 910, 2767, 269, 2986, 1346, 267, 1269, 8987, 2767, 264, 1341, 11196, 3953, 7751, 3947, 519, 2838, 1269, 268, 6795, 16859, 306, 5902, 1154, 519, 3312, 4082, 909, 607, 1269, 1321, 343, 317, 273, 910, 476, 2767, 343, 910, 476, 3953, 343, 1341, 476, 7761, 8961, 594, 1205, 1269, 274, 343, 263, 275, 343, 268, 280, 264, 910, 476, 279, 263, 275, 343, 268, 280, 7751, 610, 18159, 274, 343, 268, 279, 7565, 275, 343, 268, 280, 7751, 607, 1354, 780, 2162, 6396, 476, 274, 281, 3815, 2358, 630, 273, 2020, 6546, 1505, 1705, 2864, 4096, 593, 31986, 1945, 8799, 827, 519, 2188, 269, 1323, 4244, 1935, 568, 513, 4693, 543, 6454, 1505, 547, 1294, 799, 3815, 8424, 616, 1932, 2673, 1927, 610, 1932, 2484, 6306, 780, 2690, 1383, 267, 649, 917, 602, 1269, 268, 1321, 1422, 9392, 910, 7761, 259, 1131, 2285, 519, 2556, 1297, 910, 2705, 267, 1269, 8987, 1321, 264, 1341, 11196, 7761, 6661, 268, 10019, 8961, 799, 1797, 602, 6292, 568, 1932, 2484, 6306, 269, 1924, 267, 1577, 781, 2119, 30945, 519, 910, 1321, 543, 10300, 1324, 519, 910, 7761, 1384, 259, 8987, 2190, 264, 1341, 11196, 3607, 264, 815, 910, 2568, 8961, 799, 568, 2673, 267, 855, 1869, 1932, 2484, 6306, 910, 865, 938, 2188, 991, 547, 581, 1063, 910, 2190, 543, 910, 3607, 269, 2311, 2547, 835, 540, 873, 814, 547, 581, 513, 2789, 540, 476, 274, 267, 865, 938, 10457, 616, 910, 2767, 267, 910, 1789, 543, 910, 3451, 282, 910, 1789, 666, 1405, 960, 630, 11004, 781, 1100, 3815, 540, 476, 276, 264, 543, 9444, 666, 910, 3451, 630, 7224, 3815, 540, 476, 1556, 1070, 865, 910, 2767, 568, 938, 1152, 8929, 269, 589, 2370, 960, 630, 20123, 28745, 519, 1101, 676, 4399, 2765, 346, 280, 2410, 279, 4151, 543, 519, 2034, 676, 4399, 2765, 346, 279, 2410, 280, 4151, 3947, 519, 1482, 910, 2767, 543, 910, 3953, 607, 1354, 6393, 2162, 6396, 476, 275, 281, 11264, 519, 4009, 780, 32513, 13124, 286, 594, 1611, 1862, 596, 666, 798, 621, 267, 855, 594, 6415, 711, 2386, 596, 9364, 1616, 547, 780, 2791, 1439, 909, 609, 1945, 899, 1269, 1321, 13375, 24560, 3847, 3287, 910, 1422, 2765, 346, 6795, 2410, 2190, 4153, 2431, 8203, 273, 9368, 316, 910, 1422, 2765, 346, 6795, 317, 273, 2410, 4366, 15396, 7761, 815, 476, 271, 16859, 6546, 786, 2097, 856, 21453, 281, 4399, 3847, 24560, 3847, 3287, 910, 1422, 2765, 346, 6795, 2410, 2190, 4153, 2431, 8203, 273, 9368, 316, 815, 1422, 2765, 346, 6795, 317, 273, 2410, 275, 24585, 476, 1321, 317, 273, 348, 910, 476, 277, 259, 910, 855, 713, 1630, 2812, 1524, 547, 519, 1482, 12980, 538, 1505, 476, 272, 780, 3383, 267, 17886, 4953, 292, 281, 621, 781, 2009, 547, 798, 267, 855, 594, 1810, 1405, 1589, 621, 781, 606, 2523, 1434, 3364, 547, 581, 4280, 547, 798, 896, 2604, 538, 606, 981, 780, 28775, 602, 2337, 2439, 290, 692, 265, 3798, 1243, 476, 1001, 278, 268, 5400, 268, 1626, 547, 4368, 513, 19000, 5470, 780, 1012, 2051, 514, 692, 8624, 514, 568, 513, 1284, 2096, 1926, 13004, 20131, 267, 2278, 540, 1896, 13174, 1280, 667, 27186, 2835, 543, 589, 7400, 13004, 10274, 269, 1261, 3323, 674, 2391, 2051, 2293, 13174, 538, 476, 1220, 279, 269, 1261, 2729, 609, 606, 17611, 637, 810, 1494, 543, 4986, 547, 6961, 780, 2971, 9523, 692, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 292, 327, 286, 3733, 1101, 2219, 568, 602, 621, 3580, 3815, 1047, 607, 30967, 275, 343, 1107, 513, 7565, 274, 343, 1107, 536, 14638, 267, 1141, 3230, 320, 1422, 10383, 536, 815, 476, 7761, 2330, 543, 3230, 274, 320, 1341, 476, 275, 321, 815, 476, 6795, 21974, 3733, 1101, 7058, 693, 3815, 2358, 3230, 7761, 2330, 568, 3230, 280, 1422, 9392, 476, 279, 18079, 543, 594, 5469, 602, 3230, 320, 17070, 2330, 568, 9642, 267, 865, 621, 814, 547, 581, 30967, 275, 343, 268, 280, 7565, 274, 343, 268, 279, 14638, 780, 296, 1810, 1406, 1589, 621, 779, 602, 11389, 32208, 513, 13392, 267, 607, 2484, 607, 23722, 9076, 18267, 979, 780, 296, 1236, 5792, 513, 2603, 540, 4693, 543, 5470, 676, 18822, 5079, 972, 267, 799, 594, 1589, 519, 1305, 1562, 786, 723, 1044, 12948, 593, 780, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 28989, 267, 602, 779, 3230, 274, 320, 266, 275, 321, 2330, 568, 9642, 780, 1892, 476, 7462, 2051, 514, 692, 3963, 1281, 621, 723, 547, 581, 1269, 274, 343, 259, 543, 1269, 275, 343, 259, 2864, 982, 1269, 343, 259, 543, 1269, 1321, 343, 259, 286, 630, 7775, 729, 602, 835, 540, 519, 18822, 7058, 525, 286, 2020, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 6546, 729, 835, 540, 1250, 18822, 7058, 525, 269, 1703, 941, 1152, 1614, 5079, 585, 519, 3815, 5314, 540, 3230, 1321, 343, 317, 273, 18079, 865, 621, 9327, 1406, 723, 3144, 1932, 1279, 547, 2638, 873, 782, 780, 296, 4898, 952, 972, 779, 1945, 4277, 2620, 1369, 713, 2243, 281, 6266, 540, 1250, 13986, 3815, 31907, 1439, 909, 6721, 3230, 1321, 343, 317, 273, 1107, 476, 2568, 343, 1341, 7761, 18079, 799, 814, 513, 1455, 3815, 540, 3230, 1321, 21974, 1411, 666, 4341, 891, 3815, 31907, 856, 1354, 9750, 873, 1175, 676, 711, 6005, 602, 835, 3368, 814, 513, 3586, 1455, 3815, 267, 552, 3052, 269, 30967, 1321, 268, 2190, 7565, 343, 268, 274, 264, 815, 476, 1321, 3287, 268, 273, 7565, 343, 268, 274, 264, 9681, 3383, 519, 2016, 3830, 568, 968, 821, 2476, 892, 689, 513, 12863, 835, 269, 2052, 649, 946, 602, 1249, 547, 1753, 538, 593, 519, 3070, 811, 3533, 2496, 1892, 476, 7462, 4168, 4521, 5459, 6261, 518, 2739, 692, 1103, 1249, 267, 596, 666, 4341, 856, 30967, 273, 343, 266, 320, 7565, 277, 343, 17070, 14638, 5612, 1317, 972, 779, 1100, 1259, 602, 3580, 3132, 606, 9642, 3230, 343, 2330, 2165, 780, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 258, 9978, 11038, 9119, 692, 1012, 5384, 10025, 540, 14559, 692, 300, 2292, 568, 2808, 547, 4502, 811, 519, 19692, 621, 568, 5833, 267, 610, 952, 621, 568, 2139, 538, 519, 1459, 780, 1607, 568, 1317, 2724, 538, 519, 1459, 666, 581, 1031, 543, 16539, 547, 5352, 513, 2132, 1247, 2724, 547, 581, 4397, 538, 519, 2104, 3112, 581, 1031, 269, 5384, 1871, 540, 2724, 568, 4299, 676, 1312, 519, 5712, 540, 942, 1373, 2808, 607, 1134, 607, 519, 10958, 2557, 585, 12719, 1459, 1871, 780, 26296, 6128, 1223, 581, 3989, 607, 519, 1353, 540, 519, 1871, 540, 2724, 538, 942, 780, 1607, 1062, 2337, 596, 1174, 543, 946, 713, 1523, 269, 1411, 666, 4019, 621, 547, 1483, 1272, 3871, 281, 10753, 753, 267, 15894, 9315, 32439, 543, 14205, 902, 780, 1012, 2549, 677, 1436, 15873, 692, 299, 334, 753, 543, 9806, 616, 9916, 998, 7515, 5627, 2143, 1344, 540, 1142, 1974, 540, 519, 2165, 267, 1519, 1974, 3666, 267, 7389, 267, 13350, 1719, 267, 1689, 540, 519, 1974, 3666, 630, 21406, 993, 677, 1436, 593, 12029, 264, 543, 1419, 513, 3803, 4737, 693, 519, 5377, 5627, 519, 9103, 1023, 585, 1142, 540, 891, 2035, 780, 1607, 1062, 10525, 2407, 993, 677, 1436, 12125, 593, 782, 519, 6810, 827, 12029, 543, 9806, 269, 22549, 899, 519, 3283, 789, 2285, 596, 693, 519, 4871, 2439, 1012, 2598, 25068, 692, 1607, 6881, 729, 2813, 585, 3872, 5301, 267, 621, 568, 896, 6024, 2689, 543, 6454, 543, 896, 1100, 1797, 1058, 621, 581, 2808, 2883, 18973, 269, 4706, 17354, 4433, 264, 543, 922, 17404, 4433, 264, 723, 1100, 15752, 547, 1683, 1022, 1106, 540, 1808, 2883, 10066, 3823, 9541, 543, 9806, 547, 922, 3755, 780, 18770, 823, 827, 9541, 543, 9806, 1590, 2097, 1152, 689, 13931, 8804, 4648, 269, 901, 568, 513, 1907, 547, 1451, 2439, 1012, 12937, 692, 15368, 923, 540, 9314, 692, 19950, 454, 14240, 281, 14559, 9901, 676, 513, 561, 2658, 547, 513, 10210, 518, 585, 513, 10211, 936, 513, 2016, 2165, 267, 7229, 607, 513, 6824, 610, 6712, 540, 519, 10211, 781, 1871, 563, 26594, 9314, 11822, 1719, 568, 513, 2656, 1505, 540, 12719, 519, 1719, 5279, 593, 513, 10211, 780, 4002, 713, 2985, 596, 666, 5173, 476, 275, 4632, 540, 2241, 1719, 281, 10558, 1871, 267, 8892, 1871, 267, 1719, 2557, 543, 1297, 540, 5712, 563, 7883, 454, 15253, 895, 9314, 3281, 895, 1719, 630, 528, 7623, 532, 1719, 264, 568, 1719, 7229, 593, 519, 3355, 9030, 267, 799, 849, 2882, 782, 540, 519, 19017, 1719, 540, 3105, 5712, 540, 513, 16005, 610, 10211, 269, 769, 824, 1913, 267, 1719, 593, 1719, 780, 4002, 713, 2985, 596, 666, 5173, 476, 275, 4632, 540, 7623, 1719, 281, 10558, 1871, 267, 8892, 1871, 267, 1719, 2557, 543, 1297, 540, 5712, 563, 7883, 692, 306, 822, 902, 692, 293, 12089, 11270, 545, 14205, 902, 454, 14240, 281, 14205, 902, 9967, 538, 513, 6378, 2179, 540, 2724, 936, 513, 1297, 540, 5712, 21248, 1169, 942, 538, 930, 5092, 6174, 610, 9806, 2272, 602, 17188, 1055, 513, 2016, 1719, 2557, 563, 31306, 14205, 902, 6726, 566, 540, 519, 2698, 1871, 602, 786, 581, 19017, 950, 9494, 513, 1634, 6378, 2179, 267, 2016, 519, 13350, 1719, 2557, 543, 519, 1297, 540, 5712, 269, 3619, 454, 12507, 628, 569, 14205, 902, 547, 19793, 557, 513, 30540, 25779, 6726, 566, 540, 519, 2179, 596, 1590, 4688, 585, 513, 2016, 1297, 540, 5712, 693, 513, 6378, 1719, 2557, 547, 3914, 513, 9806, 3804, 269, 3619 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4692, 596, 948, 17412, 1018, 3751, 14880, 568, 3843, 547, 2161, 547, 11184, 717, 1177, 664, 538, 1142, 1257, 563, 268, 3973, 519, 3751, 26017, 1864, 547, 4473, 543, 2097, 4464, 543, 646, 11542, 3533, 267, 15336, 609, 1533, 569, 3268, 547, 9054, 601, 1354, 519, 4622, 543, 3409, 1010, 14049, 269, 14880, 19942, 621, 936, 543, 4371, 1010, 1688, 547, 2285, 1864, 2696, 779, 26460, 269, 2060, 513, 19914, 12837, 646, 9901, 1864, 547, 581, 25836, 538, 2295, 563, 268, 634, 4622, 1287, 26017, 602, 646, 3533, 1058, 4473, 267, 543, 646, 11593, 909, 13427, 543, 2047, 14059, 267, 9054, 9934, 1208, 29087, 1354, 1010, 1164, 1145, 267, 543, 18413, 1688, 593, 519, 14049, 282, 543, 646, 561, 990, 5944, 882, 22055, 1639, 621, 267, 543, 17666, 1010, 1688, 5795, 1864, 2696, 779, 26460, 267, 543, 1178, 19290, 679, 14765, 1441, 1864, 602, 1010, 1688, 543, 1010, 2295, 1058, 581, 25836, 7567, 269, 2048, 12648, 1416, 267, 23013, 16224, 844, 1054, 519, 4622, 267, 2048, 821, 2759, 547, 2232, 267, 543, 952, 23524, 1451, 652, 1864, 1010, 3992, 267, 594, 3494, 1360, 1134, 602, 23524, 530, 2830, 7703, 1022, 9514, 602, 646, 3947, 1394, 2663, 19028, 268, 3973, 14880, 26017, 519, 27585, 547, 4473, 267, 543, 646, 9782, 909, 3533, 543, 5679, 3881, 1524, 1354, 519, 4622, 267, 543, 9575, 3180, 540, 519, 14049, 282, 543, 519, 4622, 3138, 2216, 1010, 3180, 540, 621, 267, 543, 24850, 909, 1010, 1688, 267, 543, 5795, 1864, 1010, 26460, 267, 543, 536, 1228, 1864, 581, 2178, 1312, 540, 2295, 543, 1688, 269, 968, 16605, 26899, 1134, 267, 683, 15343, 342, 2223, 844, 1054, 14880, 267, 968, 7474, 23524, 2285, 1864, 855, 519, 835, 9514, 267, 543, 952, 23524, 2699, 652, 1864, 1318, 569, 594, 512, 992, 23524, 695, 5306, 1134, 705, 728, 519, 8482, 646, 949, 2285, 26899, 1310, 3034, 268, 1924, 519, 19988, 25009, 1010, 27585, 547, 1796, 269, 15775, 547, 1010, 3952, 646, 6410, 1178, 19290, 4464, 1656, 5679, 3881, 1354, 14880, 267, 2921, 3180, 540, 519, 4949, 324, 269, 2913, 1154, 979, 540, 621, 267, 14880, 1287, 4371, 909, 1010, 1688, 547, 2285, 1762, 717, 1177, 664, 519, 26460, 540, 2696, 543, 4126, 646, 9060, 6109, 1145, 538, 2295, 543, 31329, 269, 968, 12648, 1416, 267, 1762, 23013, 267, 547, 6952, 1864, 2973, 569, 267, 8196, 2407, 15918, 797, 539, 3196, 1287, 596, 991, 333, 1406, 4250, 519, 9514, 799, 646, 27938, 547, 4123, 538, 2132, 3034, 268, 1548, 798, 9358, 3494, 14880, 779, 5796, 547, 717, 1177, 664, 568, 6730, 875, 798, 596, 15475, 713, 5796, 786, 948, 717, 1177, 664, 607, 519, 1650, 22264, 286, 0, 11045, 569, 5832, 1107, 634, 5046, 476, 866, 6855, 814, 6157, 1185, 519, 1764, 540, 922, 1198, 593, 519, 1158, 269, 9483, 10832, 543, 1072, 723, 1044, 4299, 543, 782, 6080, 616, 20109, 1369, 513, 1259, 610, 1776, 269, 2290, 540, 519, 6080, 538, 799, 713, 729, 5693, 7805, 1131, 581, 519, 6683, 543, 1426, 1870, 563, 1103, 476, 1001, 280, 267, 519, 10656, 8105, 543, 1426, 5823, 8329, 476, 277, 269, 275, 4939, 547, 519, 14407, 6469, 1587, 630, 290, 7034, 267, 476, 1708, 271, 1040, 1306, 829, 519, 5253, 306, 16291, 2382, 15856, 583, 267, 519, 3536, 16291, 2872, 538, 519, 13814, 12628, 24843, 476, 278, 269, 272, 5479, 538, 476, 1708, 271, 269, 634, 24756, 1870, 4503, 476, 6078, 269, 276, 4939, 540, 922, 24826, 607, 1397, 676, 1160, 10810, 618, 301, 566, 267, 1247, 693, 519, 9838, 942, 2706, 5658, 1115, 2799, 519, 24826, 540, 741, 338, 609, 24843, 476, 272, 269, 279, 5479, 563, 11514, 4533, 687, 540, 519, 1426, 5832, 723, 1713, 4539, 585, 519, 10656, 4346, 543, 1426, 3354, 607, 513, 2603, 540, 8639, 616, 4299, 269, 4634, 1498, 621, 729, 2312, 547, 5354, 540, 1004, 602, 972, 729, 513, 1713, 1764, 693, 519, 1439, 540, 713, 5832, 630, 324, 3052, 1421, 11876, 8973, 1472, 1426, 6990, 267, 14060, 14656, 264, 607, 1134, 607, 693, 519, 4098, 540, 713, 5832, 630, 324, 3052, 1421, 19122, 12277, 711, 10478, 585, 5561, 1070, 972, 616, 3875, 11051, 538, 519, 2707, 5832, 585, 602, 519, 1764, 568, 1454, 1447, 2312, 269, 898, 779, 3976, 16122, 602, 596, 4137, 856, 875, 5265, 519, 1426, 3761, 5832, 607, 513, 2898, 568, 5423, 547, 25077, 609, 21463, 269, 12824, 689, 519, 15051, 3194, 543, 8298, 2524, 6828, 693, 25538, 2287, 523, 20513, 543, 849, 4947, 689, 25538, 2287, 523, 13188, 3194, 267, 3366, 676, 7905, 590, 6387, 632, 10557, 17703, 267, 6594, 519, 7506, 540, 519, 5046, 476, 866, 6855, 2429, 519, 1426, 3761, 5832, 269, 1358, 1759, 519, 2079, 540, 741, 338, 593, 11042, 609, 827, 13977, 10656, 2707, 5832, 11051, 563, 23921, 1369, 10685, 909, 267, 1336, 1426, 3028, 1524, 898, 568, 7805, 543, 2442, 602, 3747, 538, 519, 3536, 16291, 10473, 4682, 1524, 1813, 547, 519, 19479, 540, 14060, 267, 10838, 1866, 269, 769, 513, 1906, 8320, 267, 6455, 585, 21527, 540, 519, 1426, 3028, 2872, 3976, 8593, 547, 827, 476, 736, 4939, 540, 519, 3312, 4320, 269, 1306, 513, 2427, 1198, 267, 3747, 538, 519, 1592, 9055, 4682, 909, 543, 7283, 693, 513, 1377, 540, 513, 2889, 343, 574, 520, 11481, 476, 1015, 268, 736, 4939, 2362, 982, 1354, 519, 2042, 3323, 563, 303, 20094, 799, 1185, 547, 2097, 998, 13383, 1185, 741, 1360, 1378, 2042, 269, 2060, 519, 1689, 538, 991, 4947, 689, 3536, 16291, 547, 10685, 267, 519, 10421, 585, 11183, 4957, 13497, 267, 2859, 17646, 267, 7484, 610, 5068, 729, 2838, 585, 9849, 538, 7082, 11183, 269, 1306, 1454, 811, 540, 713, 1587, 11183, 1570, 8694, 909, 538, 6800, 685, 5321, 607, 10353, 547, 538, 4025, 267, 519, 21312, 9657, 1062, 3893, 22314, 849, 267, 4929, 22520, 563, 763, 10593, 538, 3747, 723, 1185, 606, 1271, 1764, 593, 2504, 2238, 269, 769, 513, 1906, 2665, 267, 713, 1256, 5921, 513, 2347, 3247, 538, 3977, 630, 324, 3052, 269, 538, 519, 21868, 8105, 1870, 267, 799, 7153, 547, 513, 1796, 560, 650, 593, 2272, 540, 3747, 2887, 856, 593, 519, 3536, 16291, 5823, 1040, 769, 824, 8320, 267, 513, 2101, 6712, 540, 519, 10986, 26438, 1351, 7431, 630, 324, 3052, 269, 538, 519, 1585, 16469, 4393, 2872, 1070, 4929, 513, 19479, 540, 3937, 563, 11045, 569, 5832, 1107, 17392, 2238, 941, 849, 4299, 269, 634, 1376, 540, 519, 4856, 7431, 6433, 538, 3624, 3361, 519, 2095, 540, 4262, 25510, 547, 3500, 1524, 7168, 4166, 538, 476, 1708, 271, 269, 901, 8507, 538, 3908, 3560, 5122, 4390, 2429, 519, 1101, 4374, 540, 519, 2042, 267, 543, 1164, 3790, 585, 8708, 3560, 607, 513, 1463, 1267, 269, 22427, 1188, 6283, 5185, 1114, 2152, 269, 2311, 1101, 267, 972, 941, 24604, 593, 875, 3560, 786, 581, 17411, 585, 10665, 267, 799, 538, 519, 1279, 2196, 941, 711, 607, 14461, 607, 21787, 269, 2334, 799, 729, 16609, 538, 1082, 2665, 267, 20866, 267, 729, 519, 10333, 540, 5179, 1235, 563, 763, 5114, 547, 5046, 268, 866, 1107, 1683, 5832, 6043, 634, 2707, 5832, 6043, 2079, 4371, 676, 4515, 269, 632, 10557, 17703, 543, 30793, 8046, 267, 729, 1759, 593, 519, 7650, 540, 713, 1292, 1919, 540, 3761, 5832, 6043, 912, 8794, 713, 1880, 5943, 585, 519, 4879, 540, 519, 5967, 267, 519, 2164, 5815, 602, 711, 1082, 3906, 1185, 1044, 1134, 5423, 585, 519, 1351, 7431, 6433, 543, 2965, 6140, 4294, 17841, 2409, 269, 634, 1034, 1271, 3761, 5832, 4245, 941, 912, 8201, 476, 272, 269, 20640, 1655, 2409, 585, 6980, 3761, 5832, 6043, 454, 2690, 26784, 267, 519, 991, 547, 1374, 519, 3761, 5832, 585, 17545, 607, 1134, 607, 22231, 269, 901, 5654, 2523, 4101, 585, 4130, 3549, 281, 2679, 6043, 883, 513, 3761, 5832, 3217, 942, 543, 3007, 538, 519, 3919, 267, 543, 4130, 3906, 2356, 1810, 1406, 723, 519, 12588, 547, 9585, 602, 563, 13553, 267, 621, 729, 4362, 602, 811, 1719, 729, 2877, 593, 10825, 3463, 543, 849, 17935, 585, 1981, 5786, 538, 519, 3761, 5832, 269, 1280, 519, 2104, 267, 1018, 713, 1797, 568, 2484, 811, 3007, 1058, 581, 3177, 547, 519, 1259, 3906, 1293, 593, 14273, 267, 5561, 267, 543, 1808, 2477, 563, 23612, 267, 3007, 568, 2877, 585, 8763, 3922, 1436, 543, 15931, 32311, 532, 2994, 538, 3871, 1141, 3747, 666, 1406, 581, 1558, 269, 1401, 14032, 3922, 1436, 568, 2556, 547, 3136, 547, 2743, 2344, 6788, 855, 538, 1840, 547, 5818, 2344, 8843, 1141, 15712, 4413, 3255, 269, 901, 4161, 3884, 1406, 1007, 267, 1498, 621, 779, 538, 1840, 1044, 3768, 699, 343, 12723, 538, 713, 2042, 543, 729, 2356, 711, 851, 540, 4549, 2218, 18697, 563, 19177, 628, 569, 267, 519, 1351, 7431, 2042, 2982, 721, 602, 519, 2804, 1764, 540, 513, 6433, 538, 1840, 568, 5462, 676, 519, 1259, 9316, 538, 519, 5832, 568, 1305, 909, 269, 898, 779, 2356, 15458, 875, 2417, 3790, 630, 663, 2640, 264, 616, 2366, 856, 538, 513, 5832, 267, 952, 693, 782, 563, 7661, 267, 3448, 547, 824, 3483, 995, 13623, 267, 519, 4238, 543, 3761, 5832, 1568, 616, 2965, 538, 519, 6117, 10160, 1282, 513, 6433, 269, 8605, 1646, 543, 10229, 2238, 991, 547, 979, 1688, 538, 2620, 1688, 609, 3761, 5832, 2238, 269, 6787, 519, 1351, 7431, 6855, 786, 1785, 12147, 1689, 519, 2757, 9270, 1063, 5108, 543, 17825, 593, 519, 835, 1688, 543, 10229, 543, 6725, 593, 519, 824, 1688, 267, 519, 1761, 2104, 786, 991, 547, 2491, 547, 563, 1692, 568, 519, 10656, 1426, 3761, 5832, 12003, 2429, 519, 1351, 7431, 6433, 286, 0, 273, 526, 6103, 19343, 16974, 9664, 454, 6812, 9735, 9251, 16439, 2238, 563, 273, 526, 3446, 554, 9994, 8696, 7801, 3817, 269, 19343, 2979, 1249, 7801, 9212, 269, 901, 3845, 1565, 2979, 2534, 1305, 2882, 476, 279, 3059, 7801, 3817, 18622, 1613, 2596, 1840, 1299, 12408, 5013, 609, 891, 24440, 3029, 602, 2285, 1053, 8216, 5955, 269, 1411, 7654, 666, 4647, 713, 3239, 267, 2824, 968, 323, 5877, 3239, 892, 543, 4688, 4605, 547, 707, 2123, 2780, 563, 1103, 2034, 3446, 267, 789, 2461, 1565, 811, 543, 972, 779, 865, 1454, 811, 789, 666, 798, 543, 917, 269, 2608, 3769, 3059, 2681, 676, 3009, 281, 769, 2034, 3446, 267, 789, 2461, 1565, 811, 543, 972, 779, 865, 1454, 811, 789, 666, 798, 543, 917, 563, 13043, 7801, 9212, 585, 1840, 267, 12408, 267, 8691, 543, 6498, 269, 8564, 543, 4647, 689, 713, 3638, 4015, 540, 476, 2412, 266, 554, 9994, 8696, 2979, 7801, 3817, 2592, 693, 1205, 9526, 902, 2593, 269, 4569, 4976, 31417, 554, 9994, 8696, 7801, 3817, 3239, 2093, 585, 476, 273, 526, 3446, 17585, 335, 601, 30516, 1676, 24263, 3211, 476, 275, 628, 24275, 1863, 563, 8450, 476, 1704, 1655, 2592, 540, 7792, 554, 9994, 8696, 7801, 3211, 9656, 269, 5131, 554, 9994, 8696, 7801, 3817, 585, 4079, 3214, 8788, 568, 19471, 6909, 3211, 3239, 2093, 269, 19343, 1840, 2681, 676, 1297, 1101, 3446, 1863, 7792, 5595, 7857, 7801, 3817, 585, 267, 9058, 554, 9994, 8696, 1840, 2681, 676, 1297, 563, 10403, 7792, 554, 9994, 8696, 2979, 7801, 3817, 269, 4569, 568, 538, 3388, 602, 649, 798, 269, 19343, 2979, 3211, 476, 273, 526, 3446, 3211, 9656, 2979, 3211, 1187, 3211, 476, 272, 560, 3446, 2979, 554, 9994, 8696, 2238, 1101, 3446, 3446, 476, 272, 554, 9994, 8696, 13492, 563, 11900, 25378, 7792, 554, 9994, 8696, 7801, 3211, 9656, 4976, 2592, 269, 26415, 338, 543, 979, 4565, 1231, 267, 26734, 543, 20807, 539, 8075, 9789, 344, 2461, 782, 1851, 938, 4015, 540, 2034, 3446, 554, 9994, 8696, 3211, 269, 5131, 7792, 554, 9994, 8696, 3211, 476, 273, 526, 3446, 554, 9994, 8696, 7792, 28618, 3211, 1863, 554, 9994, 8696, 2681, 676, 2979, 3211, 1863, 7792, 1130, 20634, 781, 1554, 7801, 3817, 9656, 16439, 1297, 476, 272, 476, 736, 454, 268, 8285, 2107, 24842, 2051, 28666, 9664, 454, 268, 28688, 25291, 16974, 9664, 454, 268, 8285, 16974, 9664, 1280, 20661, 454, 268, 8285, 10326, 16974, 8525, 5131, 454, 268, 8285, 623, 1872, 16974, 9664, 454, 268, 8285, 16974, 9664, 16114, 553, 22544, 454, 268, 4168, 8285, 16974, 9664, 21584, 454, 268, 8285, 16974, 9664, 21584, 3883, 454, 268, 8285, 16974, 9664, 13244, 590, 548, 662, 454, 268, 4168, 4132, 27231, 8285, 16974, 9664, 454, 268, 7994, 9877, 1145, 16974, 9664, 454, 268, 4168, 16974, 9664, 1280, 19343, 454, 268, 8285, 10326, 16974, 8525, 595, 2001, 7637, 454, 268, 8285 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1305, 1699, 547, 1985, 267, 543, 2312, 856, 1985, 454, 1038, 1699, 815, 1985, 338, 454, 1038, 1985, 338, 815, 1305, 10797, 825, 1948, 2638, 568, 3398, 1533, 568, 538, 519, 1305, 540, 519, 1699, 2829, 454, 825, 2132, 3799, 17304, 269, 23100, 538, 1699, 2020, 28744, 519, 3593, 3403, 543, 5569, 4086, 1707, 547, 1294, 952, 789, 6474, 454, 2745, 9852, 2255, 263, 8882, 1460, 267, 5569, 1070, 1102, 1460, 2073, 11415, 994, 0, 5814, 5569, 1477, 5228, 10070, 1104, 22388, 5897, 3430, 754, 766, 284, 13449, 9230, 6358, 2891, 11767, 29934, 766, 3758, 2012, 1547, 1547, 1547, 8442, 1070, 262, 337, 20298, 3667, 23952, 815, 20343, 18667, 14052, 2745, 28361, 333, 22923, 32075, 338, 29934, 766, 2433, 22207, 3667, 23952, 10142, 6312, 1181, 284, 9131, 23981, 12887, 653, 335, 12887, 653, 320, 12887, 12711, 320, 12887, 335, 777, 12887, 320, 777, 12887, 11985, 320, 12887, 1952, 11172, 5897, 325, 15968, 284, 24001, 1477, 1721, 533, 538, 4806, 6769, 453, 325, 15968, 314, 335, 24557, 3667, 23952, 29644, 9638, 10142, 325, 15968, 8217, 815, 4908, 269, 12399, 31476, 2745, 28361, 333, 19530, 532, 782, 20083, 4806, 1547, 1547, 1547, 20298, 1721, 1913, 538, 4908, 8217, 6769, 825, 1820, 630, 6919, 267, 9166, 3299, 325, 15968, 314, 6919, 316, 10142, 10946, 318, 4486, 815, 3193, 6600, 15968, 267, 1883, 284, 325, 15968, 10947, 264, 453, 258, 23694, 609, 5207, 6474, 5897, 330, 284, 290, 3300, 6600, 15968, 3418, 14683, 284, 330, 269, 2865, 318, 21720, 263, 274, 10142, 2745, 19629, 333, 19530, 532, 5440, 476, 274, 23694, 5853, 1547, 1547, 1547, 14744, 1721, 1775, 538, 1164, 6769, 13537, 9217, 314, 271, 3910, 9166, 3299, 328, 314, 272, 316, 10142, 2745, 19629, 333, 19530, 532, 9906, 21073, 1547, 1547, 1547, 14744, 16591, 284, 271, 1477, 21112, 284, 271, 1477, 604, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 262, 653, 335, 262, 6769, 13537, 3488, 16032, 16680, 20298, 19197, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 262, 12711, 320, 262, 6769, 13537, 3488, 310, 528, 560, 16680, 20298, 19197, 4908, 314, 10946, 318, 4486, 316, 2525, 1015, 543, 3193, 318, 4486, 2525, 3488, 320, 777, 262, 610, 1412, 23981, 262, 8029, 13537, 3488, 19894, 569, 7054, 10585, 20298, 12828, 6769, 22610, 795, 538, 1164, 6769, 453, 14851, 630, 329, 314, 271, 316, 610, 795, 314, 272, 316, 610, 795, 314, 273, 8079, 2525, 3488, 320, 777, 262, 610, 1412, 23981, 262, 610, 1412, 11985, 320, 262, 8029, 4848, 453, 21112, 23785, 272, 1477, 453, 14851, 630, 329, 314, 271, 316, 610, 795, 314, 272, 316, 610, 795, 314, 273, 8079, 2525, 3488, 653, 320, 262, 610, 1412, 335, 777, 262, 610, 1412, 1952, 262, 8029, 4848, 453, 16591, 23785, 272, 1477, 14851, 1434, 285, 21112, 6769, 453, 13537, 3488, 19894, 20298, 28432, 6769, 453, 13537, 3488, 296, 337, 10585, 20298, 5897, 5897, 5897, 24653, 258, 5814, 556, 5897, 258, 332, 2255, 318, 6312, 1181, 284, 516, 26098, 718, 16868, 262, 315, 321, 3890, 315, 321, 3299, 1257, 23952, 10142, 258, 325, 15968, 26514, 815, 585, 1535, 538, 1257, 23952, 29644, 3488, 23981, 12887, 653, 335, 12887, 653, 320, 12887, 12711, 320, 12887, 335, 777, 12887, 320, 777, 12887, 11985, 320, 12887, 1952, 262, 10142, 258, 1721, 2262, 538, 6474, 318, 6312, 1181, 6769, 258, 825, 1293, 815, 4908, 10947, 27182, 267, 271, 3418, 258, 825, 4908, 314, 5320, 316, 815, 1293, 1341, 476, 272, 5897, 24653, 258, 1551, 17342, 15947, 258, 1721, 1775, 538, 2039, 263, 1789, 8029, 258, 453, 1551, 6910, 9272, 6600, 257, 21196, 2715, 328, 266, 272, 348, 2433, 8442, 3418, 28744, 19906, 3418, 258, 30005, 284, 271, 1477, 258, 11274, 550, 284, 271, 1477, 258, 1721, 1775, 538, 2039, 263, 1789, 8029, 453, 0, 12163, 25363, 906, 513, 2203, 2866, 18180, 454, 5228, 840, 30112, 547, 2203, 5542, 3097, 1729, 2203, 6268, 563, 12163, 5814, 15259, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 28189, 2593, 2821, 1104, 28758, 9558, 845, 518, 454, 5228, 28189, 4877, 760, 5202, 1104, 26932, 5202, 454, 5228, 28189, 8807, 324, 1155, 26000, 3005, 1104, 8564, 298, 16032, 267, 535, 318, 2958, 1833, 692, 5035, 21290, 303, 760, 5202, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 7531, 825, 1219, 1205, 5334, 5902, 1540, 12774, 4311, 267, 3077, 267, 1449, 15481, 267, 3403, 318, 15953, 2187, 1038, 8173, 1038, 16849, 513, 8675, 5627, 519, 8237, 1540, 1239, 538, 5721, 267, 1449, 454, 1038, 543, 513, 1592, 540, 10230, 543, 28547, 9587, 780, 1038, 14803, 3701, 912, 2018, 3077, 281, 630, 11415, 264, 519, 8200, 4756, 649, 1616, 547, 3589, 519, 642, 331, 879, 525, 454, 2018, 3403, 318, 15953, 630, 11415, 1923, 21795, 6185, 1092, 20988, 264, 2619, 547, 519, 3403, 1239, 540, 21795, 1239, 7406, 454, 2018, 1449, 15481, 630, 15615, 264, 519, 6871, 540, 1449, 1239, 3448, 547, 2866, 1239, 692, 1038, 17776, 912, 2018, 513, 8675, 540, 519, 1106, 3097, 2018, 1239, 18380, 815, 13634, 7386, 1412, 333, 10179, 673, 22674, 8435, 9166, 1003, 22674, 338, 10086, 322, 1538, 5566, 22674, 8435, 9166, 3032, 22674, 338, 267, 22322, 7386, 1412, 311, 17601, 9166, 2473, 17601, 267, 1412, 344, 17601, 9166, 586, 17601, 2676, 7386, 1412, 311, 15305, 9166, 2473, 15305, 267, 1412, 344, 15305, 9166, 586, 15305, 454, 3546, 7684, 454, 1038, 8173, 1038, 17093, 815, 3403, 318, 15953, 454, 1038, 952, 568, 27349, 9272, 318, 15953, 267, 1193, 2187, 2018, 17093, 815, 19073, 18667, 32269, 9272, 318, 15953, 994, 1038, 25948, 318, 18196, 815, 18358, 842, 1626, 3299, 1412, 842, 3953, 3299, 1412, 842, 5038, 3299, 1412, 15615, 1626, 3299, 1412, 15615, 3953, 3299, 1412, 15615, 5038, 23300, 1038, 1875, 5332, 10179, 545, 318, 18196, 815, 18358, 15953, 23300, 1038, 1003, 22674, 338, 815, 1592, 29254, 269, 572, 937, 5091, 18196, 263, 514, 2850, 284, 333, 10179, 545, 318, 18196, 1040, 3712, 8435, 994, 1038, 3032, 22674, 338, 815, 1592, 29254, 269, 572, 937, 5091, 18196, 263, 514, 2850, 284, 12061, 5332, 10179, 545, 318, 18196, 1040, 3712, 8435, 994, 13872, 1038, 17093, 17601, 267, 17093, 15305, 815, 5721, 15305, 5334, 5902, 29254, 267, 1449, 15481, 284, 11687, 15481, 267, 4351, 26077, 284, 271, 994, 1038, 586, 17601, 815, 17093, 17601, 314, 339, 13759, 2639, 1038, 2473, 17601, 815, 17093, 17601, 6155, 1886, 6025, 13759, 267, 7852, 284, 272, 267, 538, 2897, 25716, 994, 1038, 586, 15305, 815, 17093, 15305, 314, 339, 13759, 2639, 1038, 2473, 15305, 815, 17093, 15305, 6155, 1886, 6025, 13759, 267, 7852, 284, 272, 267, 538, 2897, 25716, 994, 1038, 1239, 18380, 815, 13634, 3546, 1412, 333, 10179, 673, 22674, 8435, 9166, 1003, 22674, 338, 10086, 322, 1538, 5566, 22674, 8435, 9166, 3032, 22674, 338, 267, 22322, 3546, 1412, 311, 17601, 9166, 2473, 17601, 267, 1412, 344, 17601, 9166, 586, 17601, 2676, 3546, 1412, 311, 15305, 9166, 2473, 15305, 267, 1412, 344, 15305, 9166, 586, 15305, 454, 2018, 7684, 454, 1038, 2132, 1239, 18380, 7531, 825, 1219, 3514, 31200, 4311, 267, 2203, 267, 840, 15263, 528, 267, 1239, 267, 3077, 2187, 1038, 8173, 1038, 28546, 519, 2203, 563, 1038, 14803, 3701, 912, 2018, 2203, 281, 519, 2203, 547, 581, 19034, 454, 2018, 840, 15263, 528, 281, 513, 18180, 1210, 28189, 3097, 4449, 1363, 28758, 9558, 845, 518, 1362, 454, 2018, 1239, 281, 513, 8675, 5627, 519, 1239, 563, 4449, 476, 713, 568, 791, 548, 5471, 539, 538, 519, 1599, 1412, 1326, 5334, 5902, 1540, 12774, 7055, 1038, 17776, 912, 2018, 519, 19034, 2203, 454, 1038, 8173, 1038, 1239, 9131, 333, 10179, 673, 22674, 8435, 262, 4940, 24525, 6025, 13759, 994, 1038, 18180, 815, 26932, 5202, 8443, 454, 2018, 18011, 11907, 318, 2181, 15263, 528, 3299, 840, 15263, 528, 13211, 2018, 18011, 16347, 3299, 2203, 994, 1038, 476, 7481, 1038, 18180, 32265, 16597, 9131, 311, 17601, 28710, 1239, 9131, 344, 17601, 262, 7481, 1038, 2132, 18180, 7531, 825, 1219, 1449, 6958, 26860, 31200, 4311, 267, 19034, 31200, 267, 1239, 267, 11973, 2187, 1038, 8173, 1038, 4530, 519, 19034, 2203, 454, 1038, 8173, 1038, 586, 28177, 338, 815, 19034, 31200, 4877, 9438, 16597, 9131, 311, 15305, 262, 7481, 1038, 6060, 815, 11973, 12169, 28177, 338, 267, 1239, 9131, 344, 15305, 262, 7481, 1038, 2132, 6060, 7531, 825, 1219, 2196, 318, 23024, 2939, 4311, 267, 1239, 267, 3631, 267, 840, 15263, 528, 267, 11973, 267, 3077, 2187, 1038, 5727, 14725, 606, 4603, 547, 859, 520, 10663, 1114, 3631, 6111, 12163, 1038, 8464, 815, 31460, 1038, 585, 2012, 267, 2203, 538, 3631, 29096, 10031, 2018, 19034, 31200, 815, 1582, 32265, 31200, 263, 16347, 267, 840, 15263, 528, 267, 1239, 267, 3077, 994, 2018, 6060, 815, 1582, 6745, 652, 6958, 26860, 31200, 6600, 26860, 31200, 267, 1239, 267, 11973, 994, 2018, 8464, 314, 4067, 316, 815, 6060, 454, 1038, 2132, 8464, 7531, 825, 1219, 3444, 26371, 9179, 4311, 2187, 1038, 5727, 8110, 845, 3444, 15418, 585, 1018, 286, 12163, 1038, 1780, 7531, 825, 1219, 4688, 318, 2908, 6958, 324, 1155, 4311, 267, 17093, 267, 1163, 5332, 3518, 2187, 1038, 952, 711, 15259, 29624, 20216, 1235, 912, 2018, 2619, 815, 535, 257, 10623, 2137, 270, 346, 10339, 5332, 3518, 348, 4840, 2018, 15259, 6230, 8898, 15077, 9638, 987, 994, 1038, 17093, 30419, 32269, 6600, 257, 346, 12949, 348, 270, 23024, 2939, 346, 10339, 5332, 3518, 20731, 11907, 27406, 257, 9239, 825, 1219, 5352, 318, 23024, 2939, 23631, 1636, 4311, 2187, 1038, 1780, 7531, 825, 1219, 2824, 6958, 324, 2137, 4311, 267, 2473, 267, 586, 267, 9587, 2187, 1038, 2203, 815, 8564, 298, 16032, 263, 16557, 6958, 15635, 284, 325, 318, 2958, 1833, 267, 737, 8782, 718, 5073, 1038, 2203, 32265, 11583, 267, 586, 994, 1038, 12301, 269, 8663, 8443, 3712, 8435, 11468, 268, 272, 6012, 328, 316, 585, 1775, 538, 2039, 12759, 263, 16347, 4732, 13990, 318, 4297, 3910, 2203, 4732, 13990, 318, 994, 1038, 689, 28894, 629, 1104, 678, 322, 13640, 4461, 454, 1038, 678, 322, 13640, 4461, 9131, 29664, 8807, 12127, 1125, 11172, 815, 476, 1015, 267, 476, 1015, 454, 1038, 12301, 11859, 16932, 3488, 8722, 2137, 5073, 1038, 12301, 269, 29786, 3488, 30360, 5073, 1038, 12301, 26644, 3488, 8722, 1155, 2956, 6060, 5073, 1038, 12301, 20481, 10797, 19638, 692, 7531, 672, 0, 5814, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 2979, 1477, 5228, 2979, 1104, 21762, 5897, 332, 990, 625, 32470, 815, 19073, 18667, 32269, 3488, 332, 990, 625, 27406, 20298, 332, 990, 625, 32470, 9131, 20204, 11172, 815, 9413, 32470, 26644, 269, 1598, 269, 2169, 847, 3488, 7268, 7268, 323, 315, 323, 315, 323, 315, 323, 315, 4297, 3299, 10339, 663, 815, 8771, 3418, 332, 990, 625, 32470, 9131, 20204, 11172, 815, 9413, 32470, 26644, 269, 1598, 269, 2169, 847, 3488, 7268, 323, 315, 323, 315, 323, 315, 323, 264, 3299, 10339, 663, 815, 8771, 3418, 332, 990, 625, 32470, 9131, 27583, 11172, 815, 9413, 32470, 26644, 269, 1598, 18622, 2897, 3488, 7268, 7268, 323, 315, 323, 315, 323, 315, 323, 315, 4297, 3299, 5257, 3418, 332, 990, 625, 32470, 9131, 27583, 11172, 815, 9413, 32470, 9131, 27583, 262, 4940, 1952, 569, 10857, 10033, 1535, 281, 343, 14714, 8692, 3890, 3418, 332, 990, 625, 32470, 9131, 2102, 637, 11172, 815, 9413, 32470, 269, 2102, 637, 269, 1598, 21858, 3488, 347, 262, 10142, 332, 990, 625, 32470, 30419, 32269, 3488, 719, 27406, 262, 10142, 332, 990, 625, 5976, 2102, 637, 815, 9413, 32470, 6983, 4878, 31476, 1721, 4994, 267, 992, 538, 9413, 5976, 2102, 637, 269, 3438, 4900, 28399, 825, 585, 9135, 538, 4737, 9131, 2102, 637, 11172, 6769, 1038, 9413, 5976, 2102, 637, 269, 520, 27709, 267, 2102, 516, 316, 815, 476, 272, 1477, 332, 990, 625, 5976, 2102, 637, 815, 9413, 5976, 2102, 637, 8807, 650, 3534, 263, 271, 10142, 258, 3725, 764, 558, 2658, 3590, 5897, 12528, 6358, 815, 1496, 1477, 2018, 27835, 27583, 9166, 262, 17954, 752, 9724, 11833, 267, 634, 3299, 1412, 7992, 9166, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262, 307, 1195, 9452, 3299, 1412, 7992, 9166, 274, 269, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262, 297, 3861, 10202, 3299, 1412, 7992, 9166, 273, 9574, 1477, 2018, 27835, 27583, 9166, 257, 303, 592, 335, 11470, 2580, 1412, 7992, 9166, 276, 9574, 1477, 2018, 27835, 27583, 9166, 262 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 883, 519, 654, 5417, 523, 7256, 563, 272, 264, 20636, 2165, 585, 519, 851, 540, 519, 6070, 23047, 1127, 538, 4395, 540, 519, 2377, 1678, 539, 2127, 563, 763, 23864, 1166, 1846, 13883, 693, 513, 1164, 1377, 798, 711, 1106, 513, 6024, 1055, 6879, 648, 3046, 3544, 519, 5032, 267, 855, 616, 9674, 538, 12150, 13063, 267, 1063, 799, 519, 1216, 689, 519, 2244, 1790, 686, 1564, 19707, 922, 1259, 547, 519, 17909, 998, 13719, 538, 7410, 610, 998, 6825, 23864, 9055, 269, 634, 23864, 1166, 1846, 3544, 519, 2244, 1790, 686, 1564, 616, 3622, 2182, 22501, 23864, 1166, 1846, 269, 2311, 4025, 267, 519, 5207, 14084, 2694, 949, 581, 13883, 693, 513, 1377, 799, 14687, 5176, 547, 631, 269, 670, 269, 570, 1421, 865, 602, 3921, 27274, 789, 616, 1152, 4988, 609, 1216, 513, 2110, 942, 282, 693, 9456, 2842, 543, 693, 683, 777, 20352, 789, 949, 581, 3819, 1282, 835, 20352, 21226, 1974, 610, 811, 269, 2201, 971, 23864, 1166, 1846, 616, 1336, 519, 4102, 1332, 2195, 540, 6428, 545, 1941, 807, 10786, 25445, 630, 291, 4314, 281, 737, 767, 2401, 1070, 799, 568, 513, 30362, 5993, 543, 568, 2111, 547, 5706, 513, 7928, 24492, 532, 540, 6070, 1216, 269, 634, 9424, 543, 519, 20825, 540, 6428, 545, 1941, 807, 1689, 1454, 689, 835, 1747, 547, 1776, 543, 689, 1032, 547, 1032, 267, 855, 1256, 519, 12136, 540, 10053, 1332, 2195, 540, 713, 2030, 1282, 1896, 8011, 532, 1296, 1281, 711, 4125, 9645, 19260, 540, 519, 1377, 540, 519, 23864, 1858, 6862, 540, 519, 5888, 540, 922, 3037, 563, 4002, 519, 682, 324, 20933, 540, 519, 23864, 5070, 267, 6849, 519, 2244, 3064, 601, 267, 835, 786, 1419, 1265, 930, 5386, 3766, 11712, 1570, 538, 519, 2627, 267, 543, 621, 568, 972, 602, 519, 2208, 540, 6428, 545, 1941, 807, 568, 7363, 1034, 10053, 543, 1034, 3586, 269, 634, 5920, 693, 713, 1747, 540, 519, 5386, 267, 2571, 267, 1216, 325, 2683, 1570, 630, 16435, 1731, 264, 543, 513, 10664, 540, 6428, 545, 1941, 807, 666, 581, 607, 8282, 547, 519, 1482, 2014, 281, 519, 12062, 532, 1198, 540, 519, 23864, 6366, 269, 1717, 267, 971, 2175, 1152, 7173, 841, 538, 1507, 2127, 543, 949, 2291, 538, 1279, 5712, 1510, 4758, 4473, 547, 6024, 7263, 1431, 540, 1022, 2956, 269, 8307, 538, 513, 1906, 2199, 885, 267, 585, 3236, 538, 1978, 536, 904, 610, 693, 4025, 609, 2027, 3289, 5766, 1429, 545, 2175, 267, 971, 607, 593, 519, 521, 317, 1926, 2427, 540, 681, 21417, 332, 21417, 2481, 267, 8628, 267, 20406, 2810, 7263, 1431, 540, 1793, 1731, 630, 338, 2830, 264, 949, 581, 4646, 269, 634, 2627, 540, 519, 3152, 851, 540, 519, 23864, 1166, 1846, 568, 21237, 6534, 547, 1699, 268, 543, 5951, 268, 13905, 540, 971, 513, 3196, 602, 519, 5386, 3766, 11712, 607, 1134, 607, 519, 22501, 2326, 949, 581, 14324, 909, 543, 5645, 2476, 610, 581, 2699, 788, 657, 1243, 563, 10214, 3543, 725, 540, 6428, 545, 1941, 807, 1152, 2709, 513, 13927, 1076, 4027, 1996, 713, 1184, 543, 949, 538, 930, 2665, 267, 607, 513, 1267, 540, 519, 5250, 540, 1196, 323, 625, 1472, 519, 2582, 2371, 267, 2014, 519, 2627, 540, 519, 23864, 6366, 547, 581, 2144, 10757, 563, 1103, 1978, 2665, 519, 1483, 6070, 22153, 2371, 267, 538, 519, 1101, 1747, 717, 22318, 807, 2261, 527, 9874, 630, 303, 25458, 514, 749, 807, 2261, 527, 9874, 269, 20636, 281, 3045, 601, 6371, 264, 949, 10393, 1118, 741, 5920, 593, 519, 5207, 14084, 2694, 540, 519, 23864, 6366, 3544, 519, 2244, 3064, 601, 269, 901, 4523, 2864, 25864, 543, 4667, 547, 2154, 513, 4999, 540, 7957, 24461, 2188, 563, 763, 1570, 16487, 676, 519, 1216, 666, 3362, 581, 20024, 538, 519, 717, 22318, 807, 10664, 267, 1141, 621, 568, 1352, 2741, 1229, 1996, 6329, 543, 14768, 269, 901, 568, 1946, 519, 11776, 540, 717, 22318, 807, 3322, 602, 519, 2627, 540, 513, 530, 278, 5417, 523, 267, 554, 2416, 1729, 540, 513, 2864, 19335, 1377, 5956, 547, 1689, 269, 2311, 1101, 267, 519, 1570, 568, 19017, 538, 519, 23661, 8913, 30835, 540, 717, 22318, 807, 267, 799, 6385, 3262, 676, 1797, 540, 3875, 1055, 6879, 334, 1824, 267, 543, 1507, 1208, 332, 4169, 616, 4646, 799, 593, 2272, 540, 519, 7263, 1431, 4473, 1657, 519, 2627, 540, 519, 23864, 6366, 563, 1103, 519, 9018, 851, 540, 519, 1007, 11526, 22153, 267, 1141, 1282, 5951, 9146, 513, 18254, 267, 9247, 540, 5070, 267, 3217, 1747, 267, 519, 1208, 332, 4169, 616, 14733, 543, 6385, 4473, 676, 1896, 1232, 22015, 637, 1657, 519, 23864, 6366, 269, 4329, 24654, 519, 1208, 332, 4169, 616, 811, 6366, 267, 543, 519, 1570, 20024, 568, 21246, 958, 521, 2830, 610, 5386, 3766, 11712, 5070, 269, 1635, 543, 676, 519, 1208, 332, 4169, 1332, 278, 1927, 267, 543, 538, 519, 1576, 540, 513, 1906, 1296, 513, 23864, 6366, 949, 3976, 581, 9927, 883, 513, 10053, 717, 22318, 807, 803, 20760, 563, 8245, 6714, 3585, 609, 519, 5137, 540, 519, 1007, 22153, 267, 519, 4262, 862, 1878, 547, 2144, 1712, 922, 9018, 2694, 267, 543, 538, 519, 1576, 540, 942, 513, 3982, 569, 6825, 29384, 568, 4646, 6849, 519, 23864, 6366, 269, 769, 519, 3312, 2244, 3064, 601, 267, 1141, 519, 12062, 532, 1198, 4679, 267, 606, 3606, 7274, 540, 1793, 1731, 568, 20024, 267, 543, 519, 6428, 545, 1941, 807, 10786, 25445, 543, 2663, 593, 519, 717, 22318, 807, 2261, 527, 9874, 3262, 538, 519, 4287, 540, 519, 2025, 2062, 1633, 269, 26431, 607, 519, 7263, 1431, 2014, 519, 1377, 547, 4473, 519, 1297, 540, 23864, 1016, 11302, 687, 11081, 3507, 2406, 267, 543, 2523, 519, 5207, 14084, 2694, 949, 538, 519, 4832, 4005, 581, 3819, 585, 1279, 5712, 563, 763, 1657, 4330, 1184, 5170, 998, 7263, 1431, 543, 1377, 1782, 540, 519, 2627, 267, 538, 971, 513, 6073, 267, 2705, 267, 602, 519, 9018, 2694, 2611, 519, 5207, 267, 519, 1377, 13302, 538, 519, 4287, 540, 519, 2244, 3064, 601, 267, 1141, 519, 18254, 540, 521, 2830, 3587, 811, 543, 811, 7986, 269, 634, 18254, 1152, 3217, 1747, 1282, 2462, 1164, 31662, 267, 799, 7363, 2408, 538, 4276, 609, 7088, 344, 4365, 269, 3245, 519, 530, 5417, 523, 267, 9424, 540, 5070, 616, 627, 597, 1194, 909, 267, 519, 3152, 851, 540, 799, 568, 20024, 538, 519, 9018, 1858, 267, 519, 11098, 540, 519, 5070, 2000, 16558, 13302, 538, 519, 4287, 540, 519, 2244, 3064, 601, 269, 634, 5386, 6588, 1441, 10036, 5674, 11159, 630, 291, 4314, 281, 737, 331, 19508, 326, 1070, 799, 568, 3812, 676, 4511, 523, 8412, 267, 538, 1880, 18024, 540, 1793, 1731, 630, 338, 2830, 264, 568, 538, 519, 9018, 1858, 1152, 1336, 538, 519, 1106, 540, 7522, 13164, 267, 519, 11098, 540, 519, 6106, 2810, 538, 27808, 4287, 267, 543, 519, 10036, 5674, 11159, 568, 3592, 24267, 538, 519, 1970, 268, 2391, 2694, 267, 1152, 6404, 609, 513, 1906, 6094, 5070, 2000, 16558, 538, 519, 3105, 2244, 3064, 601, 563, 11073, 2515, 519, 1007, 278, 454, 332, 6702, 513, 1007, 278, 9381, 9043, 609, 513, 811, 610, 454, 1652, 14733, 2244, 3064, 601, 568, 19038, 547, 581, 4646, 267, 543, 593, 519, 23864, 6366, 1055, 713, 2244, 3064, 601, 7399, 949, 8451, 585, 519, 5137, 540, 513, 1007, 22153, 269, 6884, 267, 1256, 1354, 519, 5250, 540, 835, 1858, 814, 1044, 12913, 267, 835, 610, 811, 1007, 23047, 1127, 616, 2919, 3544, 519, 1101, 1858, 269, 634, 1367, 834, 529, 956, 257, 666, 581, 14360, 585, 513, 1279, 942, 538, 519, 2627, 9043, 543, 538, 519, 3892, 540, 519, 5070, 2000, 16558, 543, 519, 10036, 5674, 21439, 269, 769, 930, 2665, 519, 11761, 568, 865, 3532, 602, 513, 1007, 22153, 1858, 786, 581, 21933, 3438, 730, 267, 11207, 610, 14356, 267, 1256, 1354, 922, 5250, 814, 2097, 547, 606, 1439, 563, 15152, 519, 4540, 23864, 2175, 519, 5250, 540, 513, 6070, 22153, 786, 581, 3592, 12913, 693, 519, 942, 950, 519, 9018, 2694, 723, 6603, 513, 1377, 540, 827, 476, 273, 544, 1657, 667, 12991, 12991, 269, 610, 513, 2370, 811, 982, 561, 544, 1657, 519, 3312, 530, 5417, 523, 269, 769, 519, 3105, 2244, 3064, 601, 267, 799, 585, 513, 1279, 942, 25601, 513, 32761, 344, 1915, 267, 519, 1377, 568, 1419, 966, 28462, 1765, 260, 678, 333, 2539, 982, 538, 519, 9018, 2694, 543, 14380, 538, 519, 4287, 2509, 519, 2062, 1633, 267, 1141, 519, 2025, 11761, 29384, 666, 581, 12873, 811, 610, 1447, 14733, 563, 20197, 16057, 2208, 540, 22153, 267, 799, 949, 1491, 454, 288, 4797, 11159, 566, 786, 1287, 1491, 1747, 693, 513, 1970, 2557, 267, 1317, 519, 1858, 538, 2243, 568, 1152, 24760, 513, 1906, 2053, 513, 1032, 269, 634, 3017, 540, 1377, 1063, 519, 1164, 268, 2391, 9018, 2694, 543, 519, 1970, 268, 2391, 6418, 2694, 568, 9243, 1242, 547, 930, 4110, 267, 855, 568, 711, 4625, 2944, 2476, 609, 267, 543, 538, 519, 556, 13094, 6070, 23047, 1127, 267, 799, 723, 14356, 1044, 4646, 538, 519, 6073, 4330, 1657, 267, 835, 786, 18867, 1869, 581, 2111, 547, 1265, 1896, 9343, 540, 1164, 267, 22501, 267, 14404, 1881, 2694, 609, 954, 329, 8809, 267, 811, 10036, 5674, 1970, 268, 2391, 2694, 563, 7437, 16057, 2208, 593, 513, 23864, 6366, 513, 6070, 22153, 814, 3976, 1044, 630, 11526, 799, 267, 711, 1152, 607, 2484, 607, 519, 1377, 568, 7255, 267, 855, 849, 609, 2543, 547, 519, 3037, 2175, 15320, 7494, 689, 519, 3312, 23864, 6366, 269, 901, 2067, 5250, 540, 2244, 814, 1044, 4767, 693, 930, 4025, 538, 519, 654, 5417, 523, 7256, 2059, 519, 5032, 540, 27623, 808, 583, 1633, 269, 634, 3803, 1267, 568, 513, 6070, 22153, 540, 519, 1482, 2460, 543, 540, 18374, 519, 1482, 1377, 607, 538, 519, 9018, 2694, 540, 519, 2025, 23047, 1127, 269, 9182, 267, 519, 2990, 540, 519, 8545, 689, 513, 1377, 1448, 540, 2070, 991, 711, 581, 8329, 547, 2244, 268, 340, 680, 3424, 563, 20197, 267, 519, 2067, 5250, 540, 2244, 814, 1044, 454, 516, 17474, 269, 634, 1505, 23295, 4294, 568, 513, 1062, 540, 6252, 546, 9662, 540, 513, 3178, 540, 827, 476, 1428, 1765, 1789, 4699, 538, 519, 23864, 6366, 610, 538, 513, 1007, 2389, 11526, 6070, 22153, 803, 20760, 269, 1306, 513, 4341, 519, 546, 9662, 630, 291, 4314, 281, 1989, 21417, 321, 2401, 264, 616, 5116, 693, 513, 1318, 5086, 547, 519, 5032, 609, 17752, 547, 519, 2244, 3064, 601, 269, 634, 1292, 3483, 540, 519, 546, 9662, 568, 547, 3895, 519, 12775, 540, 519, 26869, 267, 7551, 2417, 532, 519, 7399, 540, 2208, 585, 519, 6070, 22153, 2371, 269, 5015, 267, 519, 5250, 540, 6806, 267, 32761, 344, 9475, 543, 12150, 23864, 524, 872, 802, 630, 291, 4314, 281, 3138, 518, 264, 568, 7551, 14284, 269, 769, 519, 546, 9662, 267, 799, 616, 530, 23926, 21246, 958, 689, 519, 2244, 3064, 601, 267, 5386, 3766, 11712, 1570, 568, 6385, 20024, 282, 713, 1570, 568, 19952, 25653, 909, 543, 533, 6150, 593, 519, 954, 329, 8809, 4610, 269, 769, 1931, 547, 5000, 513, 4098, 2244, 5250, 593, 1164, 23864, 1166, 1846, 789, 723, 1044, 12630, 6707, 609, 717, 22318, 807, 2261, 527, 9874, 563, 306, 539, 2939, 566, 30520, 267, 14356, 6806, 267, 799, 616, 9112, 538, 519, 23864, 1166, 1846, 689, 9343, 540, 25985, 543, 3673, 1149, 267, 616, 1031, 609, 6574, 7443, 693, 4025, 1141, 593, 2272, 540, 2027, 3289, 5766, 1429, 545, 2175, 9645, 7727, 540, 5386, 6588, 1441, 1570, 616, 20024, 267, 855, 1141, 621, 568, 2352, 585, 513, 10053, 267, 7863, 6070, 22153, 10664, 593, 2272, 540, 519, 1970, 1377, 547, 10286, 9087, 1054, 1245, 267, 585, 3236, 593, 519, 5045, 2427, 540, 519, 681, 21417, 332, 21417, 2481, 563, 1103, 519, 7961, 25958, 2694, 540, 519, 2462, 6070, 22153, 2127, 267, 693, 11023, 636, 267, 25906, 324, 267, 11831, 636, 543, 570, 21417, 837, 267, 519, 2627, 568, 811, 5347, 982, 538, 519, 9018, 2694, 267, 543, 519, 3037, 5161, 30109, 540, 513, 24267, 3170, 267, 10036, 5674, 11159, 267, 799, 568, 4646, 896, 824, 2175, 982, 1346, 4540, 538, 519, 9018, 23047, 1127, 267, 713, 10036, 5674, 11159, 1373, 547, 513, 1390, 6708, 20024, 538, 556, 539, 10664, 630, 4942, 4048, 2466, 525, 32761, 1916, 763, 1377, 2175, 5018, 1657, 3277, 547, 519, 6070, 23047, 1127, 799, 723, 711, 267, 610, 723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 263, 279, 1040, 1684, 607, 594, 4312, 7152, 538, 513, 1040, 1411, 1058, 2097, 909, 609, 476, 278, 6924, 271, 5195, 269, 630, 23114, 6376, 281, 594, 6415, 711, 1360, 5432, 609, 519, 11585, 540, 519, 2136, 2276, 267, 855, 713, 1267, 5654, 607, 952, 519, 5721, 1990, 580, 345, 698, 3022, 998, 782, 2829, 593, 621, 781, 1259, 689, 6728, 547, 6728, 2020, 294, 22901, 902, 692, 292, 289, 692, 274, 269, 20323, 17397, 676, 8065, 1695, 454, 288, 1164, 3432, 18213, 1449, 5721, 4429, 15916, 10484, 1877, 594, 993, 1586, 269, 594, 4312, 2219, 827, 519, 1599, 2016, 538, 707, 1966, 269, 901, 3830, 28994, 1405, 581, 1318, 780, 2026, 594, 4312, 1767, 538, 1250, 3105, 2022, 267, 713, 1360, 1164, 3432, 5721, 12599, 476, 278, 6924, 271, 5195, 538, 476, 279, 3108, 269, 2334, 1797, 621, 814, 606, 3328, 3432, 540, 476, 31634, 5195, 829, 5662, 780, 1103, 519, 2011, 519, 3432, 540, 3280, 568, 476, 278, 3393, 5195, 829, 5662, 269, 1924, 713, 5721, 12599, 5488, 982, 3280, 269, 9214, 323, 1043, 2439, 2690, 1383, 281, 1403, 713, 5721, 12599, 476, 1015, 3108, 267, 1287, 519, 3328, 3432, 568, 5176, 7466, 607, 1164, 607, 519, 3432, 540, 3280, 780, 3383, 267, 5225, 267, 2638, 519, 1257, 540, 707, 1966, 269, 1703, 1590, 581, 513, 630, 2381, 528, 264, 12161, 780, 294, 22901, 902, 692, 292, 289, 692, 275, 269, 20323, 17397, 676, 1274, 18485, 454, 15916, 10484, 1877, 594, 993, 1586, 269, 594, 4312, 2219, 827, 519, 1599, 2016, 538, 707, 1966, 269, 901, 3830, 28994, 1405, 581, 1318, 780, 2026, 594, 4312, 1767, 538, 1250, 3105, 2022, 267, 713, 1360, 1164, 3432, 5721, 12599, 476, 278, 6924, 271, 5195, 538, 476, 279, 3108, 269, 2334, 1797, 621, 814, 606, 3328, 3432, 540, 476, 31634, 5195, 829, 5662, 780, 1103, 519, 2011, 519, 3432, 540, 3280, 568, 476, 278, 3393, 5195, 829, 5662, 269, 1924, 713, 5721, 12599, 5488, 982, 3280, 269, 9214, 323, 1043, 2439, 2690, 1383, 281, 1403, 713, 5721, 12599, 476, 1015, 3108, 267, 1287, 519, 3328, 3432, 568, 5176, 7466, 607, 1164, 607, 519, 3432, 540, 3280, 780, 3383, 267, 5225, 267, 2638, 519, 1257, 540, 707, 1966, 269, 1703, 1590, 581, 513, 630, 2381, 528, 264, 12161, 780, 294, 22901, 902, 692, 292, 289, 454, 2467, 4440, 568, 1100, 12161, 267, 1175, 602, 945, 1197, 5206, 519, 2243, 4769, 1405, 1416, 827, 519, 2168, 2470, 540, 519, 3845, 1599, 780, 5937, 534, 692, 276, 269, 12361, 2659, 9406, 713, 568, 606, 5470, 269, 898, 1058, 581, 513, 2942, 692, 288, 1164, 3432, 18213, 1449, 5721, 12599, 689, 12052, 6728, 547, 24282, 6728, 538, 4010, 476, 279, 3108, 269, 634, 3845, 14612, 538, 5195, 689, 12052, 267, 693, 1022, 2016, 942, 538, 3108, 568, 2016, 676, 519, 1739, 1599, 912, 338, 6025, 6661, 910, 476, 277, 339, 317, 274, 266, 7761, 339, 317, 273, 780, 1692, 1082, 5195, 814, 519, 5721, 14612, 538, 476, 273, 5662, 883, 519, 7552, 2496, 1432, 568, 519, 3845, 538, 5195, 689, 12052, 6728, 547, 24282, 13749, 2496, 277, 269, 20323, 17397, 676, 8065, 1695, 318, 1794, 454, 288, 1164, 3432, 18213, 1449, 5721, 12599, 689, 12052, 6728, 547, 24282, 6728, 538, 4010, 476, 279, 3108, 269, 634, 3845, 14612, 538, 5195, 689, 12052, 267, 693, 1022, 2016, 942, 538, 3108, 568, 2016, 676, 519, 1739, 1599, 912, 338, 6025, 6661, 910, 476, 277, 339, 317, 274, 266, 7761, 339, 317, 273, 563, 1692, 1082, 5195, 814, 519, 5721, 14612, 538, 476, 273, 5662, 883, 519, 7552, 888, 1432, 568, 519, 3845, 538, 5195, 689, 12052, 6728, 547, 24282, 13749, 888, 15916, 10484, 11357, 538, 519, 942, 512, 815, 476, 273, 883, 707, 3830, 543, 596, 3513, 1205, 912, 338, 263, 273, 6661, 268, 277, 16732, 273, 8203, 274, 266, 7761, 16732, 273, 8203, 273, 815, 476, 13301, 5195, 692, 763, 2347, 3460, 3217, 476, 279, 554, 269, 1924, 11690, 538, 512, 815, 476, 279, 883, 707, 3830, 547, 1205, 519, 3845, 912, 338, 263, 279, 264, 815, 910, 277, 16732, 279, 317, 274, 11924, 7761, 263, 279, 8203, 273, 815, 476, 14631, 277, 5195, 692, 3528, 519, 1259, 281, 901, 1966, 3884, 1405, 1454, 1732, 982, 519, 1101, 4528, 1317, 952, 519, 5721, 12599, 476, 1428, 3108, 267, 621, 814, 24964, 513, 3845, 540, 910, 28147, 271, 5195, 269, 2334, 1797, 621, 781, 2469, 18807, 609, 513, 3328, 3432, 540, 476, 17734, 5195, 1315, 5662, 16317, 294, 22901, 902, 692, 292, 289, 0, 1012, 6034, 19577, 338, 692, 763, 1739, 568, 519, 1592, 540, 2042, 585, 3848, 476, 275, 540, 519, 3883, 540, 19577, 630, 2457, 476, 1911, 1040, 1703, 568, 513, 8468, 1930, 693, 519, 1439, 267, 865, 596, 666, 2307, 2055, 269, 898, 568, 513, 1390, 1259, 547, 2170, 609, 519, 14357, 543, 609, 824, 1053, 538, 707, 1362, 267, 1058, 596, 991, 930, 6351, 609, 1022, 2243, 269, 7490, 267, 798, 711, 2022, 3435, 780, 8196, 519, 1505, 540, 1463, 6169, 547, 6961, 519, 1739, 6898, 780, 272, 269, 1403, 3230, 343, 2330, 568, 606, 1256, 8870, 267, 1287, 3230, 343, 317, 273, 2330, 568, 1256, 563, 273, 269, 1403, 3230, 343, 2330, 568, 606, 9642, 8870, 267, 1287, 3230, 343, 317, 274, 2330, 568, 9642, 563, 274, 269, 1403, 3230, 320, 2330, 568, 606, 9642, 8870, 267, 1287, 3230, 320, 317, 273, 1341, 476, 274, 320, 1341, 276, 2330, 568, 9642, 563, 275, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 343, 2330, 543, 3230, 344, 2330, 616, 9642, 267, 1287, 3230, 15383, 2330, 568, 9642, 563, 276, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 343, 2330, 568, 1256, 267, 1287, 3230, 15383, 2330, 568, 1256, 563, 277, 269, 14597, 3230, 320, 267, 536, 267, 524, 267, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 543, 3230, 320, 1422, 3200, 524, 2330, 1287, 3230, 320, 1422, 3200, 630, 321, 25239, 14638, 563, 278, 269, 14597, 3230, 320, 267, 536, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 1287, 3230, 320, 317, 273, 1422, 3200, 536, 317, 273, 2330, 563, 279, 269, 14597, 3230, 320, 2330, 568, 606, 8870, 269, 1403, 3230, 276, 1422, 3200, 476, 273, 320, 18079, 1287, 3230, 276, 1422, 3200, 513, 2330, 563, 280, 269, 14597, 3230, 320, 2330, 568, 606, 8870, 269, 1403, 3230, 278, 1422, 3200, 476, 275, 320, 18079, 1287, 3230, 278, 1422, 3200, 513, 2330, 563, 1015, 269, 14597, 3230, 320, 2330, 543, 3230, 321, 2330, 616, 9981, 269, 1403, 3230, 320, 1422, 3200, 536, 18079, 1287, 3230, 320, 1422, 3200, 630, 274, 321, 317, 274, 1532, 317, 273, 266, 276, 321, 14638, 563, 1556, 269, 14597, 3230, 320, 267, 536, 267, 524, 267, 546, 267, 1422, 514, 1422, 13992, 346, 313, 6525, 269, 1403, 3230, 320, 1422, 3200, 536, 2330, 543, 3230, 322, 1422, 3200, 546, 18079, 1287, 3230, 659, 1422, 3200, 536, 323, 2330, 563, 1321, 269, 1403, 3230, 343, 1422, 514, 1422, 13992, 23334, 6525, 543, 3230, 271, 2999, 1535, 2999, 476, 275, 18079, 1287, 6695, 339, 2765, 346, 275, 2410, 343, 263, 275, 14870, 14587, 1422, 28254, 476, 272, 2330, 563, 1724, 269, 14597, 3230, 343, 267, 586, 1422, 514, 1422, 13992, 23334, 6525, 269, 1403, 3230, 343, 317, 273, 1341, 476, 276, 344, 815, 586, 317, 273, 1341, 476, 276, 343, 18079, 1287, 3230, 343, 284, 344, 2330, 610, 3230, 343, 20742, 815, 476, 276, 2330, 563, 1691, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 276, 333, 317, 273, 1341, 476, 274, 333, 1341, 476, 278, 2330, 568, 9642, 269, 630, 2521, 2665, 8094, 1428, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 333, 317, 273, 1341, 476, 274, 333, 1341, 476, 275, 2330, 568, 1256, 269, 630, 2521, 2665, 8094, 1626, 269, 1403, 1079, 9981, 723, 519, 1482, 26027, 267, 1287, 741, 2040, 568, 1256, 269, 630, 2521, 2665, 8094, 1704, 269, 1403, 1079, 9981, 723, 6587, 26027, 267, 1287, 741, 1587, 568, 1256, 563, 1240, 269, 14597, 3230, 343, 2330, 543, 3230, 344, 2330, 616, 2318, 1483, 2338, 269, 1403, 3230, 343, 2999, 586, 18079, 1287, 3230, 343, 317, 273, 2999, 586, 317, 273, 2330, 563, 866, 269, 14597, 3230, 320, 267, 536, 2330, 543, 3230, 322, 2330, 616, 9981, 267, 1403, 3230, 320, 317, 273, 1422, 3200, 536, 2330, 543, 3230, 321, 317, 274, 1422, 3200, 524, 18079, 1287, 3230, 320, 317, 277, 1422, 3200, 524, 2330, 563, 736, 269, 1403, 3230, 320, 2330, 568, 606, 8870, 543, 3230, 320, 317, 273, 1422, 3200, 513, 18079, 1287, 3230, 320, 1422, 514, 1422, 346, 910, 272, 267, 271, 267, 272, 1422, 6525, 563, 2641, 269, 1403, 3230, 335, 2330, 568, 6305, 543, 3230, 330, 2330, 568, 606, 8870, 585, 799, 3230, 271, 2999, 737, 2999, 533, 18079, 1287, 3230, 335, 2330, 17337, 6695, 16535, 558, 22669, 2410, 330, 6525, 563, 2420, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 267, 1287, 3230, 333, 317, 273, 815, 476, 273, 1422, 16535, 558, 23533, 2410, 273, 348, 1341, 1422, 16535, 558, 23533, 2410, 272, 6525, 269, 630, 2791, 949, 991, 513, 5094, 2013, 585, 3230, 333, 284, 272, 2330, 8094, 2537, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 267, 1287, 6695, 16535, 558, 346, 273, 333, 2410, 333, 6525, 568, 1256, 563, 2190, 269, 1403, 3230, 333, 1422, 514, 1422, 13992, 346, 301, 6525, 543, 3230, 333, 1422, 28254, 476, 273, 18079, 1287, 519, 2338, 3230, 333, 256, 266, 273, 267, 562, 256, 266, 274, 267, 562, 256, 266, 275, 267, 562, 256, 266, 276, 267, 1422, 25854, 322, 267, 562, 256, 266, 333, 2330, 616, 782, 12432, 269, 630, 13295, 267, 585, 1022, 3230, 333, 315, 28254, 476, 273, 18079, 835, 666, 1265, 3230, 333, 2330, 15654, 12432, 2338, 269, 901, 1797, 972, 616, 11737, 337, 3320, 2434, 564, 968, 326, 2355, 892, 1063, 6305, 2338, 8094, 1839, 269, 1403, 3230, 320, 267, 536, 267, 524, 267, 1422, 514, 1422, 13992, 346, 301, 6525, 543, 3230, 322, 1422, 19008, 536, 1422, 19008, 513, 18079, 1287, 6695, 16535, 558, 21151, 2410, 321, 348, 1422, 16535, 558, 15830, 2410, 322, 348, 815, 1422, 16535, 558, 21151, 2410, 321, 2275, 348, 1422, 16535, 558, 21151, 1532, 25239, 2410, 322, 6525, 563, 2918, 269, 5272, 9642, 8870, 568, 513, 3017, 540, 1079, 10945, 269, 630, 7078, 3230, 278, 815, 476, 275, 317, 273, 268, 274, 317, 273, 18079, 3092, 8094, 2767, 269, 14597, 3230, 320, 267, 536, 1422, 514, 1422, 13992, 346, 301, 6525, 269, 1403, 6695, 326, 7251, 5416, 14720, 264, 285, 272, 18079, 1287, 3230, 321, 1422, 3200, 513, 2330, 610, 3230, 321, 2330, 568, 711, 6305, 563, 2764, 269, 1403, 3230, 320, 267, 536, 267, 524, 1422, 514, 1422, 13992, 346, 313, 6525, 267, 1287, 3230, 322, 1422, 10383, 1422, 326, 7251, 5416, 14720, 264, 1422, 19008, 1422, 326, 7251, 6262, 320, 22698, 321, 14638, 269, 0, 10521, 1230, 5913, 5737, 10606, 692, 2971, 5565, 1230, 5913, 5737, 10606, 692, 1015, 4924, 267, 476, 1001, 273, 692, 288, 11819, 14659, 540, 1079, 15654, 2338, 538, 519, 2039, 476, 272, 547, 476, 1015, 267, 543, 6645, 5981, 835, 540, 519, 2338, 543, 6341, 519, 824, 780, 21579, 543, 5981, 723, 519, 1739, 6643, 1384, 20694, 281, 594, 1810, 1405, 917, 707, 1297, 563, 21579, 281, 594, 1810, 1405, 917, 707, 1297, 267, 2901, 563, 20694, 281, 3767, 594, 917, 2439, 4692, 596, 1265, 782, 476, 275, 3435, 2496, 11405, 454, 2252, 6341, 610, 5981, 1185, 476, 272, 610, 476, 1015, 267, 1287, 789, 1131, 723, 12193, 621, 2786, 2476, 269, 1809, 9444, 1705, 780, 3719, 950, 5981, 4362, 602, 6341, 4769, 1405, 917, 267, 646, 4682, 689, 711, 6616, 547, 6616, 269, 1924, 5981, 1590, 723, 1185, 513, 1297, 1141, 6341, 781, 2626, 729, 2629, 780, 2252, 5981, 1185, 476, 273, 267, 1287, 6341, 1223, 723, 476, 272, 610, 476, 274, 910, 543, 519, 2629, 2626, 834, 296, 1810, 1405, 917, 707, 1297, 267, 2901, 257, 1131, 723, 12199, 856, 476, 272, 267, 6028, 476, 274, 607, 519, 824, 1297, 630, 11405, 281, 476, 273, 543, 476, 274 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 25153, 4916, 1849, 17064, 2776, 32093, 25705, 31727, 5999, 476, 1001, 280, 630, 21196, 268, 1015, 2020, 32091, 1306, 2869, 1218, 267, 3776, 25153, 4916, 6651, 2319, 568, 3246, 1007, 3126, 540, 25705, 5999, 585, 25153, 4916, 1849, 17064, 2776, 32093, 476, 1001, 280, 865, 519, 8321, 1218, 666, 2259, 621, 593, 513, 3232, 4493, 269, 1452, 2055, 616, 29600, 676, 938, 9952, 4966, 1310, 1620, 707, 2115, 8499, 269, 1306, 2869, 1218, 666, 2259, 891, 1007, 3126, 2055, 3232, 547, 24559, 609, 519, 3169, 981, 4806, 543, 1118, 707, 7041, 2500, 780, 13425, 1934, 585, 25153, 4916, 1849, 17064, 2776, 32093, 631, 1442, 4530, 476, 1001, 280, 692, 314, 310, 335, 3682, 5226, 714, 476, 278, 3953, 276, 6540, 303, 340, 26072, 692, 17445, 687, 630, 272, 5889, 11366, 2108, 276, 2567, 5530, 519, 1739, 1344, 5402, 543, 2626, 519, 2055, 2016, 2630, 621, 780, 292, 697, 7606, 623, 267, 1627, 267, 681, 267, 590, 267, 570, 267, 772, 267, 966, 543, 654, 616, 4535, 538, 519, 1482, 1032, 538, 519, 3275, 540, 5147, 267, 4864, 267, 5181, 543, 5239, 476, 279, 628, 610, 476, 1428, 628, 540, 891, 3275, 269, 3143, 1079, 7606, 941, 4535, 538, 1482, 1554, 269, 9050, 7606, 941, 4535, 1063, 966, 543, 681, 269, 966, 729, 4535, 1354, 681, 269, 623, 729, 4535, 538, 5147, 269, 5565, 7606, 941, 4535, 1063, 623, 543, 570, 269, 1627, 543, 654, 941, 4535, 538, 519, 1482, 3923, 269, 7089, 540, 7606, 4535, 1354, 1627, 729, 3160, 547, 519, 1297, 540, 7606, 4535, 1310, 772, 780, 272, 264, 570, 568, 4535, 593, 799, 540, 519, 1739, 1554, 2496, 320, 264, 476, 279, 628, 5181, 692, 321, 264, 476, 1428, 628, 5147, 692, 322, 264, 476, 279, 628, 4864, 692, 323, 264, 476, 1428, 628, 4864, 692, 324, 264, 7183, 540, 891, 692, 273, 264, 5808, 1851, 519, 1739, 723, 606, 981, 593, 5181, 2496, 320, 264, 570, 692, 321, 264, 590, 692, 322, 264, 681, 692, 323, 264, 1627, 692, 324, 264, 7183, 540, 891, 692, 274, 264, 9050, 540, 519, 1739, 2947, 616, 7567, 538, 513, 1978, 1259, 3976, 1106, 513, 1895, 269, 4855, 519, 835, 945, 1281, 711, 12851, 547, 519, 1895, 2496, 320, 264, 623, 692, 321, 264, 772, 692, 322, 264, 570, 692, 323, 264, 654, 692, 324, 264, 681, 692, 275, 264, 5808, 1851, 519, 1739, 814, 606, 981, 1063, 966, 543, 623, 2496, 320, 264, 570, 692, 321, 264, 1627, 692, 322, 264, 654, 692, 323, 264, 590, 692, 324, 264, 7183, 692, 276, 264, 1215, 1082, 7606, 616, 4535, 1063, 623, 543, 590, 2496, 320, 264, 14520, 692, 321, 264, 12866, 692, 322, 264, 8422, 692, 323, 264, 9050, 692, 324, 264, 7183, 692, 5353, 908, 11460, 692, 17445, 687, 630, 277, 5889, 11366, 2108, 1015, 2567, 5530, 519, 1739, 1344, 5402, 543, 2626, 519, 2055, 2016, 2630, 621, 780, 292, 697, 7606, 12882, 11366, 2108, 631, 267, 715, 267, 744, 267, 623, 267, 1627, 267, 681, 267, 590, 543, 570, 941, 27206, 1472, 513, 4009, 3349, 971, 602, 2185, 540, 873, 941, 27206, 6849, 8998, 1247, 476, 275, 941, 27206, 6849, 2476, 689, 519, 8998, 269, 12287, 9361, 693, 1312, 7944, 543, 8728, 616, 3160, 780, 305, 18795, 3791, 547, 519, 2451, 540, 744, 543, 1312, 941, 9361, 6849, 519, 1482, 4287, 1775, 4318, 1421, 2901, 1312, 3068, 2509, 519, 8998, 610, 2476, 689, 519, 8998, 269, 744, 729, 547, 519, 7525, 2451, 540, 1627, 269, 1627, 729, 6849, 519, 8998, 269, 1627, 729, 27206, 6587, 547, 590, 269, 631, 729, 27206, 3791, 547, 519, 1318, 540, 590, 269, 715, 729, 27206, 547, 519, 7525, 1318, 540, 570, 543, 6587, 547, 681, 269, 623, 543, 631, 941, 27206, 6849, 1482, 4287, 269, 623, 568, 711, 9361, 693, 835, 540, 519, 15174, 780, 277, 264, 9050, 540, 519, 1739, 2947, 616, 7567, 538, 513, 1978, 1259, 3976, 1106, 513, 1895, 269, 4855, 519, 835, 945, 1281, 711, 12851, 547, 519, 1895, 2496, 320, 264, 1627, 692, 321, 264, 715, 692, 322, 264, 681, 692, 323, 264, 744, 692, 324, 264, 590, 692, 278, 264, 5808, 18795, 2034, 547, 519, 2451, 540, 590, 2496, 320, 264, 744, 692, 321, 264, 715, 692, 322, 264, 570, 692, 323, 264, 623, 692, 324, 264, 681, 692, 279, 264, 1215, 1082, 7606, 616, 9361, 1063, 715, 543, 681, 2496, 320, 264, 2290, 692, 321, 264, 5565, 692, 322, 264, 8422, 692, 323, 264, 9050, 692, 324, 264, 7183, 540, 891, 692, 280, 264, 5808, 18795, 6587, 547, 744, 2496, 320, 264, 623, 692, 321, 264, 1627, 692, 322, 264, 715, 692, 323, 264, 681, 692, 324, 264, 590, 692, 1015, 264, 5808, 18795, 6587, 547, 519, 835, 945, 18795, 547, 519, 7525, 2451, 540, 715, 2496, 320, 264, 681, 692, 321, 264, 623, 692, 322, 264, 631, 692, 323, 264, 590, 692, 324, 264, 744, 692, 17445, 687, 630, 272, 268, 276, 17107, 5591, 1079, 7606, 4535, 538, 1482, 1554, 269, 623, 729, 4535, 538, 5147, 269, 5565, 7606, 941, 4535, 1063, 623, 543, 570, 780, 19177, 7606, 941, 4535, 1063, 966, 543, 681, 269, 966, 568, 4535, 1354, 681, 780, 304, 543, 654, 941, 4535, 538, 519, 1482, 3923, 269, 7089, 540, 7606, 4535, 1354, 1627, 729, 3160, 547, 519, 1297, 540, 7606, 4535, 1310, 772, 269, 13651, 1109, 1627, 729, 711, 4535, 538, 5239, 780, 3383, 519, 3803, 11460, 568, 10484, 17445, 687, 630, 277, 268, 1015, 17107, 302, 729, 547, 519, 7525, 2451, 540, 1627, 269, 1627, 729, 6849, 8998, 269, 1627, 729, 27206, 6587, 547, 590, 780, 305, 18795, 3791, 547, 519, 2451, 540, 744, 780, 300, 729, 27206, 3791, 547, 519, 1318, 540, 590, 780, 301, 729, 27206, 547, 519, 7525, 1318, 540, 570, 543, 6587, 547, 681, 780, 13828, 681, 543, 744, 941, 27206, 6849, 1482, 4287, 1775, 4318, 1421, 2901, 1312, 3068, 2509, 519, 8998, 610, 2476, 689, 519, 8998, 780, 303, 543, 631, 941, 27206, 6849, 1482, 4287, 780, 303, 568, 711, 9361, 693, 835, 540, 519, 7944, 780, 3383, 519, 3803, 11460, 568, 267, 0, 14631, 3445, 276, 274, 630, 15893, 2020, 272, 267, 276, 4375, 267, 4962, 274, 630, 821, 2929, 2947, 4627, 13977, 5991, 710, 8536, 15823, 31644, 264, 568, 606, 9642, 5722, 1673, 580, 1080, 6305, 1297, 1739, 476, 14631, 3445, 276, 273, 543, 18631, 476, 14631, 3445, 276, 275, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 269, 634, 2040, 540, 922, 9704, 568, 476, 2918, 269, 898, 814, 513, 2698, 540, 476, 272, 6305, 3815, 543, 476, 273, 2318, 16975, 269, 1703, 616, 476, 272, 267, 276, 4375, 267, 32180, 2318, 9981, 630, 1575, 547, 476, 14631, 3445, 276, 274, 264, 602, 616, 5266, 6305, 547, 476, 14631, 3445, 276, 274, 780, 21995, 3601, 692, 1892, 1772, 11788, 286, 8786, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 278, 454, 1892, 5681, 540, 6226, 1080, 476, 2918, 454, 1892, 7913, 17848, 476, 279, 692, 11243, 692, 14112, 2012, 476, 272, 2929, 476, 276, 4375, 8536, 476, 7871, 835, 2929, 2947, 4627, 13977, 5991, 710, 8536, 15823, 31644, 692, 8253, 566, 692, 26199, 10035, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 476, 272, 269, 276, 4375, 4962, 274, 6398, 476, 11793, 692, 28269, 16748, 1436, 540, 476, 14631, 3445, 276, 274, 692, 28269, 16748, 1436, 476, 14631, 3445, 276, 274, 692, 28269, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 272, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 272, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 272, 269, 276, 4375, 4962, 324, 266, 6187, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 910, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 1691, 269, 26727, 278, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 272, 267, 276, 4375, 267, 4962, 274, 568, 476, 14631, 3445, 276, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 272, 6305, 3815, 267, 476, 272, 267, 276, 4375, 267, 4962, 274, 568, 513, 6305, 1297, 780, 19667, 30583, 540, 476, 14631, 3445, 276, 274, 692, 273, 16975, 692, 4634, 16975, 476, 271, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 273, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 272, 269, 276, 4375, 4962, 324, 266, 6187, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 272, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 278, 7597, 276, 2767, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 14862, 271, 269, 6795, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 273, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 272, 267, 276, 4375, 267, 4962, 274, 666, 581, 5258, 676, 476, 273, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 272, 267, 276, 4375, 267, 4962, 274, 264, 568, 476, 272, 267, 276, 4375, 267, 4962, 275, 267, 519, 3328, 568, 476, 278, 7597, 267, 276, 2767, 780, 8448, 25226, 12793, 630, 333, 815, 476, 14631, 3445, 276, 274, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 14631, 3445, 276, 273, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 14631, 3445, 276, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 14138, 277, 3066, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 272, 267, 276, 4375, 267, 32180, 2318, 9981, 630, 1652, 982, 476, 272, 267, 276, 4375, 267, 4962, 274, 264, 602, 616, 2941, 31870, 609, 476, 272, 267, 276, 4375, 267, 4962, 274, 269, 1656, 972, 616, 5111, 476, 14138, 267, 277, 3066, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 272, 267, 276, 4375, 267, 4962, 274, 780, 19667, 529, 2225, 540, 476, 14631, 3445, 276, 274, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 273, 476, 272, 476, 274, 476, 276, 476, 276, 476, 276, 476, 279, 692, 272, 267, 276, 4375, 267, 4962, 274, 568, 711, 16883, 676, 1022, 1297, 1447, 982, 610, 3160, 547, 476, 280, 780, 1892, 25226, 454, 1892, 11788, 454, 1892, 4347, 17087, 692, 1892, 2717, 924, 692, 1892, 11788, 5295, 454, 1892, 12384, 5131, 692, 26015, 7503, 630, 14631, 3445, 276, 274, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 6200, 8099, 9340, 6200, 9340, 6200, 6200, 454, 274, 570, 1716, 776, 476, 19442, 9826, 1001, 14338, 273, 454, 275, 2372, 15715, 776, 476, 13647, 15171, 28590, 4029, 454, 276, 2372, 2435, 476, 29340, 19442, 10711, 454, 277, 7354, 776, 476, 30589, 276, 4029, 1839, 454, 279, 4239, 531, 476, 6321, 278, 276, 4037, 276, 454, 1015, 27252, 476, 14631, 3445, 276, 274, 454, 1321, 13660, 1712, 31565, 476, 25118, 278, 320, 276, 454, 736, 966, 580, 525, 2711, 476, 280, 322, 278, 7251, 454, 3607 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 31363, 713, 2070, 609, 14172, 593, 12054, 12792, 18986, 1682, 538, 519, 1715, 11620, 17729, 2094, 519, 1160, 5586, 1580, 320, 779, 8313, 563, 4415, 519, 2669, 540, 654, 269, 674, 269, 20999, 538, 476, 4198, 273, 267, 5539, 547, 3136, 631, 9567, 2023, 779, 8239, 8593, 547, 715, 580, 601, 25306, 269, 589, 6297, 543, 524, 690, 550, 1840, 267, 25306, 779, 16522, 1314, 5170, 519, 18631, 12531, 685, 9371, 540, 11108, 14172, 267, 609, 835, 3017, 269, 25306, 779, 2079, 5267, 602, 968, 289, 10041, 5259, 568, 513, 2189, 1893, 609, 513, 9322, 543, 1915, 540, 922, 1378, 1848, 9521, 631, 9567, 2023, 267, 25306, 11363, 519, 5169, 1275, 540, 519, 1893, 1336, 538, 519, 5259, 540, 519, 1715, 11620, 269, 634, 18312, 21169, 2636, 519, 5467, 513, 2034, 1413, 693, 19978, 5259, 267, 11097, 2287, 519, 9165, 540, 741, 1353, 563, 15987, 1196, 4328, 547, 1022, 2875, 540, 5259, 267, 16522, 1314, 568, 16887, 2966, 585, 1614, 5049, 540, 5467, 281, 1101, 267, 519, 4116, 609, 606, 1719, 538, 608, 1122, 8412, 267, 610, 519, 6426, 6037, 1807, 945, 16858, 547, 917, 519, 3169, 4644, 540, 1169, 4070, 282, 2034, 267, 519, 21849, 10404, 585, 7247, 8984, 3604, 538, 519, 2278, 781, 2511, 949, 948, 547, 6430, 1063, 14726, 282, 543, 2063, 569, 267, 519, 2875, 540, 13354, 15599, 1108, 7255, 609, 519, 2078, 540, 19978, 5259, 547, 8106, 543, 18774, 523, 2065, 563, 763, 4320, 568, 9112, 2687, 547, 519, 2679, 909, 540, 519, 5259, 4845, 269, 898, 5956, 609, 2262, 2173, 1468, 585, 4845, 20671, 267, 7575, 593, 998, 519, 2079, 540, 2262, 3766, 12952, 10747, 17205, 610, 21371, 547, 2262, 2173, 1468, 10747, 519, 8231, 563, 763, 2034, 851, 540, 519, 8239, 4145, 519, 2347, 4845, 543, 922, 16105, 269, 898, 2934, 6810, 593, 519, 8723, 2241, 4845, 543, 922, 4070, 543, 593, 1114, 2010, 540, 5220, 543, 741, 8795, 3889, 563, 21206, 2200, 1331, 606, 11606, 540, 1806, 267, 1344, 827, 519, 4908, 540, 519, 12136, 540, 1978, 721, 1137, 267, 543, 824, 5613, 540, 2647, 2542, 543, 1382, 1118, 16522, 1314, 4998, 585, 3610, 543, 1053, 540, 8795, 4690, 543, 4170, 563, 5472, 945, 960, 609, 519, 5259, 1257, 540, 519, 1715, 11620, 1058, 1265, 1496, 306, 9321, 1314, 316, 3407, 563, 1765, 11990, 670, 269, 4787, 559, 2023, 267, 31689, 634, 1670, 4750, 454, 5353, 1203, 344, 1296, 1310, 519, 1101, 4320, 779, 8313, 267, 25306, 6770, 519, 8239, 547, 922, 3932, 269, 1261, 814, 17031, 1055, 519, 1305, 538, 513, 6752, 602, 1058, 6961, 1312, 3730, 543, 4277, 547, 782, 1053, 540, 519, 1715, 11620, 5259, 563, 306, 1399, 548, 568, 5258, 909, 7361, 676, 4589, 267, 5702, 7421, 741, 10058, 21342, 543, 10409, 2934, 269, 25306, 11828, 519, 30827, 543, 4852, 716, 673, 2934, 540, 519, 1585, 12591, 799, 616, 540, 2027, 1719, 538, 1142, 2013, 269, 634, 811, 2489, 6688, 540, 2262, 1931, 267, 20116, 267, 6252, 1143, 543, 2385, 4185, 616, 849, 8947, 269, 26929, 531, 12125, 543, 17523, 616, 3769, 607, 1134, 563, 8649, 921, 2230, 568, 2016, 547, 3695, 519, 2081, 538, 799, 1142, 4589, 685, 13172, 610, 3099, 540, 5259, 568, 10058, 689, 519, 1455, 25391, 710, 269, 3487, 7781, 3007, 568, 2016, 547, 12054, 12792, 7506, 538, 519, 1257, 563, 2005, 1131, 711, 581, 2653, 547, 12398, 11992, 519, 11141, 4015, 540, 1239, 799, 814, 1044, 19632, 1934, 563, 1765, 313, 269, 595, 269, 670, 3941, 267, 24157, 6139, 8619, 15762, 571, 454, 14367, 960, 568, 607, 18398, 607, 621, 568, 521, 2033, 543, 14046, 563, 1765, 24589, 760, 3798, 326, 322, 636, 2041, 24806, 267, 31689, 634, 1670, 4750, 454, 294, 1090, 3901, 673, 29362, 568, 606, 10137, 540, 715, 580, 601, 25306, 779, 8753, 538, 631, 9567, 2023, 779, 18049, 540, 1715, 11620, 5259, 269, 901, 2647, 8573, 4474, 543, 27283, 1353, 267, 17170, 547, 5259, 543, 1875, 8566, 9127, 5640, 7567, 267, 2488, 513, 2318, 9295, 547, 519, 8628, 2495, 540, 11786, 15102, 538, 519, 1715, 11620, 563, 2080, 267, 25306, 568, 7255, 607, 1454, 609, 519, 683, 4451, 974, 608, 1122, 23176, 607, 646, 568, 609, 519, 19023, 5259, 16159, 269, 1280, 519, 30497, 267, 646, 3091, 513, 3126, 540, 8903, 1806, 540, 519, 1198, 8239, 814, 593, 1715, 11620, 18381, 269, 1280, 519, 16159, 267, 646, 3091, 606, 7269, 540, 1010, 960, 538, 631, 9567, 2023, 779, 18049, 267, 28068, 519, 2093, 4843, 972, 883, 11182, 3046, 1042, 676, 519, 8239, 779, 9165, 563, 2419, 9532, 1331, 968, 763, 18049, 540, 2696, 2223, 968, 27716, 540, 9294, 732, 628, 2223, 968, 306, 4954, 540, 570, 1513, 639, 2223, 968, 1805, 269, 6754, 779, 9752, 2223, 968, 306, 5593, 3627, 2223, 543, 968, 8448, 19536, 1701, 589, 25759, 3184, 9388, 609, 513, 1966, 547, 799, 25306, 814, 1044, 4758, 1454, 1353, 543, 2219, 267, 968, 763, 5678, 540, 4906, 543, 1010, 2598, 3321, 3034, 6624, 5640, 2070, 631, 9567, 2023, 779, 18049, 607, 835, 540, 519, 11358, 1568, 538, 1715, 11620, 5259, 2090, 3812, 538, 519, 2063, 2540, 269, 1635, 30010, 519, 14046, 17284, 540, 713, 960, 609, 519, 1893, 543, 8239, 2645, 540, 519, 8298, 657, 6426, 12229, 1062, 267, 8298, 657, 814, 2919, 606, 5863, 4199, 585, 519, 1353, 540, 1715, 11620, 5259, 563, 1607, 2140, 568, 1152, 835, 540, 519, 30856, 5931, 593, 5259, 8239, 2907, 513, 851, 540, 519, 8298, 657, 6426, 12229, 5399, 269, 589, 18049, 540, 1715, 11620, 5259, 3568, 3875, 14327, 547, 1568, 971, 607, 589, 11053, 269, 21662, 517, 779, 18049, 540, 519, 5259, 1715, 11620, 538, 519, 8752, 540, 8466, 3194, 267, 7665, 2098, 518, 19213, 779, 19978, 5259, 267, 543, 19124, 645, 21516, 779, 589, 5259, 30165, 22858, 6625, 540, 519, 1715, 11620, 543, 4033, 7216, 4168, 9085, 12059, 9990, 269, 2060, 8644, 1258, 1460, 779, 538, 17856, 11239, 1883, 331, 9722, 267, 596, 666, 1847, 1063, 6121, 332, 1513, 267, 7393, 707, 1353, 609, 513, 3309, 2039, 540, 16752, 563, 3528, 4946, 5259, 1893, 10478, 267, 20750, 6625, 2200, 267, 22521, 2090, 267, 543, 519, 3044, 538, 17856, 10478, 596, 2503, 689, 8298, 657, 267, 4946, 513, 2947, 4320, 1305, 899, 519, 631, 9567, 2023, 268, 1692, 731, 6874, 1248, 518, 5259, 18049, 14635, 547, 707, 8298, 657, 6426, 12229, 2306, 621, 811, 3015, 543, 267, 4061, 267, 4443, 547, 1353, 563, 1103, 513, 942, 950, 972, 568, 13385, 6284, 540, 519, 1804, 9295, 799, 5259, 8239, 543, 16105, 666, 1118, 547, 938, 1620, 540, 519, 1715, 11620, 513, 4320, 971, 607, 25306, 779, 568, 10950, 8197, 563, 1765, 11990, 670, 269, 4787, 559, 2023, 267, 31689, 634, 1670, 4750, 454, 22832, 16593, 631, 9567, 2023, 630, 5908, 274, 1700, 4489, 278, 264, 729, 4535, 538, 29430, 267, 5080, 9445, 269, 589, 24380, 2917, 534, 14012, 267, 631, 9567, 2023, 4371, 1585, 4081, 20499, 269, 634, 1034, 1271, 540, 799, 729, 5682, 6229, 7548, 540, 18774, 523, 2065, 5259, 543, 21475, 1700, 28158, 15599, 1108, 693, 519, 2160, 540, 25480, 269, 1261, 729, 13752, 513, 1297, 540, 8956, 776, 5232, 676, 3056, 3703, 543, 4436, 9945, 267, 543, 3370, 1082, 2835, 543, 4574, 593, 2098, 19660, 770, 6929, 1143, 543, 519, 5259, 5931, 602, 519, 6426, 568, 6508, 689, 269, 3571, 1292, 12591, 616, 1323, 4985, 547, 519, 5530, 540, 1715, 11620, 5259, 267, 634, 3163, 540, 5678, 543, 519, 5530, 540, 519, 1715, 11620, 2073, 18049, 540, 1715, 11620, 5259, 5292, 269, 476, 272, 267, 7216, 16241, 17826, 540, 30111, 267, 7216, 2098, 19660, 770, 6929, 1143, 267, 9671, 687, 543, 15215, 267, 3245, 12266, 11676, 321, 880, 1261, 2355, 267, 3703, 543, 4436, 18623, 1222, 267, 634, 7066, 5501, 540, 519, 7395, 328, 267, 589, 10598, 21124, 15762, 26963, 543, 4033, 5525, 543, 17372, 525, 267, 543, 634, 4168, 15215, 538, 519, 5530, 543, 519, 9335, 269, 1261, 5747, 540, 4598, 1310, 519, 6928, 593, 799, 646, 729, 13059, 689, 513, 4663, 540, 3127, 729, 8731, 6244, 334, 539, 543, 3141, 330, 563, 301, 580, 601, 25306, 630, 4489, 277, 268, 3738, 729, 24153, 538, 28613, 693, 519, 2160, 540, 10910, 3941, 807, 269, 1261, 5280, 14377, 519, 1715, 2296, 6426, 269, 1261, 568, 849, 519, 2278, 540, 4168, 9293, 267, 634, 3203, 540, 519, 5259, 18179, 5783, 267, 543, 8329, 547, 1323, 12039, 547, 13985, 10042, 267, 5259, 268, 3891, 11119, 267, 12355, 8566, 9127, 267, 5824, 268, 3891, 11119, 267, 609, 519, 5204, 686, 659, 543, 29515, 15845, 563, 310, 559, 6975, 14731, 20999, 630, 6642, 271, 268, 4198, 273, 264, 30363, 8567, 4340, 547, 853, 269, 3627, 267, 634, 23620, 540, 1715, 11620, 18623, 1222, 267, 543, 634, 19549, 20227, 538, 10765, 29576, 543, 28604, 269, 0, 2171, 4076, 1185, 1187, 4974, 827, 27248, 2831, 543, 835, 540, 1346, 2831, 568, 2507, 1492, 22559, 256, 1703, 616, 31450, 1934, 538, 11908, 267, 855, 649, 15991, 2479, 1294, 873, 1317, 789, 2461, 909, 950, 649, 2461, 18069, 269, 9462, 30904, 454, 7712, 649, 4076, 1044, 6158, 827, 2831, 602, 616, 3781, 968, 578, 3149, 892, 630, 1326, 621, 286, 1070, 594, 17031, 909, 930, 4190, 22559, 2835, 585, 3214, 602, 649, 666, 2671, 1927, 269, 1403, 596, 2461, 4974, 31450, 713, 2887, 267, 2638, 856, 891, 1650, 9248, 543, 15923, 2835, 585, 930, 15813, 22559, 5013, 2336, 2252, 596, 2648, 891, 267, 1810, 1406, 4413, 938, 1592, 540, 7703, 2835, 585, 3214, 607, 1134, 256, 1656, 585, 513, 1187, 4739, 1788, 267, 1294, 875, 547, 1118, 513, 20036, 6995, 6882, 22559, 4739, 609, 519, 3214, 2336, 302, 342, 331, 7734, 585, 8866, 912, 1607, 2022, 3568, 24988, 6402, 269, 1280, 3877, 267, 1294, 938, 2598, 26918, 8889, 563, 273, 269, 9741, 26449, 779, 13957, 676, 6555, 5984, 590, 12541, 643, 553, 534, 454, 274, 269, 26449, 9040, 625, 676, 9410, 654, 5417, 749, 454, 275, 269, 2817, 22127, 22419, 281, 15083, 3149, 676, 23718, 15794, 454, 276, 269, 9741, 26449, 23452, 676, 18281, 670, 2795, 2023, 454, 278, 269, 10289, 519, 2622, 540, 15083, 3149, 676, 3004, 1097, 3367, 454, 279, 269, 634, 4446, 333, 15083, 3149, 676, 25414, 3627, 8725, 454, 280, 269, 26449, 693, 5851, 630, 296, 2052, 3367, 5426, 476, 273, 264, 676, 28199, 31123, 601, 454, 1015, 269, 670, 2393, 26449, 267, 9457, 540, 2598, 7666, 1047, 676, 1530, 534, 13177, 454, 8450, 519, 1964, 540, 519, 1592, 593, 2985, 476, 273, 256, 0, 9989, 519, 3280, 540, 2576, 26378, 741, 11263, 267, 14578, 521, 662, 532, 267, 610, 7244, 10978, 569, 1118, 596, 1616, 547, 3458, 600, 888, 296, 1589, 649, 666, 782, 9305, 593, 930, 1377, 269, 1809, 1018, 827, 950, 1346, 4606, 2490, 883, 7920, 4606, 540, 10845, 267, 29832, 755, 267, 610, 1256, 519, 991, 547, 9308, 9101, 519, 3510, 888, 2467, 779, 513, 2012, 585, 713, 281, 3765, 2684, 8205, 269, 898, 779, 513, 16496, 3280, 8417, 4524, 1107, 543, 693, 922, 1034, 3665, 267, 621, 666, 4625, 7519, 513, 3411, 19907, 779, 1272, 563, 3719, 28810, 27383, 547, 3280, 568, 513, 1966, 602, 1082, 1004, 609, 11838, 630, 3430, 1549, 17211, 30759, 4524, 264, 666, 849, 9305, 547, 269, 1924, 568, 3765, 2684, 8205, 2965, 513, 1106, 610, 5310, 513, 10835, 540, 11838, 286, 1548, 779, 519, 4276, 1063, 873, 888, 1103, 713, 2376, 649, 3580, 1491, 513, 6251, 1413, 693, 3765, 2684, 8205, 543, 519, 10444, 28810, 27383, 2460, 540, 11838, 281, 1018, 789, 616, 543, 1018, 519, 1761, 6402, 616, 1063, 873, 269, 1656, 952, 596, 7985, 689, 835, 267, 1018, 779, 519, 10171, 602, 596, 2461, 2713, 609, 519, 824, 888, 1432, 568, 3765, 2684, 8205, 888, 763, 4890, 2495, 540, 3765, 2684, 8205, 568, 519, 23998, 540, 3280, 563, 763, 3621, 543, 2564, 10600, 616, 1869, 3768, 1815, 3660, 593, 1018, 621, 2965, 568, 1107, 568, 621, 513, 4524, 610, 513, 2407, 17867, 2783, 286, 2290, 3364, 602, 779, 4922, 8815, 568, 602, 922, 2589, 616, 1360, 1483, 585, 1346, 11972, 873, 563, 24978, 610, 1256, 513, 2407, 11784, 4323, 563, 4517, 4352, 519, 1034, 1455, 7553, 1004, 1745, 950, 15427, 568, 10845, 267, 972, 616, 1866, 267, 799, 1331, 912, 4113, 2271, 1619, 2566, 454, 4113, 18461, 902, 540, 1373, 16290, 610, 12758, 454, 27407, 267, 693, 922, 10782, 621, 666, 2014, 2576, 547, 1995, 519, 11566, 968, 325, 697, 610, 8184, 7536, 3383, 1018, 616, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10307, 630, 5408, 2689, 538, 4676, 269, 476, 10082, 1916, 15703, 2090, 1397, 602, 7513, 703, 1389, 616, 2362, 538, 14915, 908, 982, 1875, 331, 716, 908, 2021, 543, 602, 7513, 703, 1389, 2333, 607, 519, 1453, 1831, 4587, 630, 663, 29186, 548, 811, 5144, 282, 552, 3052, 1421, 4676, 338, 269, 476, 274, 267, 476, 16960, 267, 476, 14631, 267, 476, 15150, 267, 476, 14341, 267, 14690, 267, 476, 28071, 1040, 2271, 3419, 5224, 569, 267, 2021, 8808, 21054, 8532, 3648, 811, 7513, 982, 798, 2021, 609, 1152, 835, 1126, 547, 12016, 855, 723, 2362, 16796, 7513, 9830, 630, 13647, 1040, 5047, 267, 519, 5223, 540, 7513, 6981, 547, 17811, 6981, 568, 2362, 538, 11299, 540, 21054, 982, 2206, 30416, 630, 13647, 1070, 11021, 972, 949, 581, 4776, 22460, 6981, 540, 7513, 1282, 14915, 566, 269, 2986, 1576, 267, 621, 568, 15458, 2436, 713, 568, 1813, 547, 2242, 538, 2732, 5542, 547, 3870, 7513, 25202, 2472, 267, 10071, 531, 547, 2799, 1648, 703, 1389, 267, 610, 519, 1267, 540, 9422, 13508, 563, 307, 2586, 1927, 267, 891, 2164, 1118, 606, 1303, 6005, 2013, 585, 519, 6228, 540, 513, 1480, 7513, 14031, 267, 855, 621, 568, 2484, 689, 8903, 269, 1703, 616, 693, 2547, 1614, 4128, 1946, 713, 949, 581, 865, 269, 3689, 267, 18864, 814, 18928, 6743, 585, 513, 1480, 7513, 14031, 269, 5822, 267, 621, 568, 2009, 602, 3425, 723, 17916, 8965, 6127, 547, 4431, 547, 7513, 10638, 855, 2760, 946, 873, 269, 901, 568, 1317, 519, 968, 869, 892, 1480, 7513, 703, 1389, 705, 1817, 1042, 676, 6484, 1235, 616, 10355, 607, 1970, 607, 1346, 1031, 538, 3662, 2090, 269, 634, 2136, 2276, 5227, 3232, 27108, 543, 824, 7513, 6981, 7840, 616, 1759, 593, 4027, 689, 3676, 602, 3622, 10880, 1310, 519, 10285, 1296, 267, 543, 865, 5821, 547, 2743, 891, 703, 1389, 11851, 338, 2370, 12105, 16496, 2604, 269, 898, 949, 581, 602, 7513, 10638, 538, 3425, 568, 2760, 18481, 4049, 547, 19334, 8965, 6127, 563, 763, 3791, 3390, 25701, 547, 875, 513, 7513, 14031, 1131, 581, 4767, 269, 4634, 896, 519, 1034, 4412, 25875, 6381, 267, 972, 568, 4057, 19359, 1063, 12214, 991, 543, 1426, 5542, 538, 3425, 269, 1280, 1383, 267, 972, 568, 513, 2489, 3661, 602, 2550, 609, 29427, 1202, 340, 11797, 8532, 1804, 5666, 540, 10878, 5141, 269, 4014, 713, 6157, 4386, 3006, 630, 28766, 1070, 1152, 827, 835, 2937, 3461, 538, 3670, 814, 5469, 2406, 1164, 10878, 5141, 703, 1389, 630, 5408, 4676, 269, 476, 1428, 1040, 14904, 609, 29427, 19518, 945, 17696, 3536, 609, 513, 1164, 6070, 1543, 971, 607, 8423, 543, 10487, 17064, 571, 583, 968, 323, 573, 711, 538, 1022, 1259, 12314, 519, 6159, 1324, 585, 891, 3536, 609, 741, 1164, 6070, 1543, 269, 2353, 789, 6785, 729, 602, 519, 1426, 1185, 606, 29099, 16990, 6492, 547, 873, 892, 630, 24487, 1916, 9824, 894, 547, 519, 2013, 585, 9770, 267, 1141, 972, 568, 513, 1134, 20452, 6492, 2298, 267, 519, 6381, 585, 7020, 540, 7513, 616, 2484, 689, 4998, 269, 4317, 543, 2686, 9993, 21391, 519, 4616, 540, 968, 335, 675, 892, 2959, 540, 7513, 971, 607, 7633, 267, 16115, 267, 543, 1608, 3249, 748, 27497, 269, 667, 8543, 2472, 267, 799, 1106, 519, 1034, 3507, 762, 2707, 540, 7513, 538, 519, 2136, 2276, 2732, 267, 723, 1950, 8137, 12632, 269, 4935, 267, 952, 972, 568, 513, 10058, 6492, 547, 7513, 267, 621, 949, 1134, 581, 9633, 539, 269, 634, 2360, 540, 7513, 10638, 593, 1426, 3903, 616, 1500, 1256, 811, 7294, 676, 519, 11601, 540, 8137, 7375, 1813, 547, 519, 7681, 540, 1880, 10366, 609, 741, 6225, 2360, 269, 1280, 1383, 267, 1239, 689, 519, 3731, 6029, 602, 9770, 5391, 518, 919, 7513, 689, 11919, 5946, 3366, 547, 519, 11556, 602, 835, 3210, 547, 7513, 10638, 568, 547, 8532, 9770, 1317, 713, 17303, 10970, 28179, 7513, 10638, 630, 29218, 1040, 3117, 11167, 9770, 1131, 2569, 519, 14031, 585, 7513, 2394, 519, 3606, 9770, 729, 608, 920, 1540, 269, 7201, 891, 6381, 267, 30644, 3536, 1131, 1831, 9053, 1282, 7513, 10638, 1256, 1498, 6070, 1465, 1281, 711, 5365, 7513, 563, 2467, 616, 9940, 855, 10388, 1239, 547, 1489, 713, 8367, 269, 7377, 2827, 609, 513, 1164, 3747, 585, 7513, 723, 11506, 10878, 5141, 7375, 1496, 324, 3052, 1421, 9176, 543, 14915, 908, 2021, 630, 27149, 1070, 1453, 630, 1626, 267, 476, 2568, 267, 476, 10170, 264, 4940, 5047, 267, 5396, 609, 1970, 7513, 703, 1389, 4782, 3648, 2362, 9830, 540, 10878, 5141, 538, 16603, 10433, 543, 824, 2892, 1540, 3536, 982, 798, 5396, 609, 1164, 7513, 703, 1389, 630, 6246, 267, 476, 29574, 1040, 2859, 3622, 267, 513, 1804, 267, 1134, 22306, 1353, 1336, 602, 7513, 21455, 4389, 26351, 540, 2021, 7092, 689, 840, 5443, 11584, 531, 2589, 630, 25971, 1040, 634, 1448, 1934, 568, 602, 7513, 14031, 1131, 581, 2352, 547, 2697, 1317, 621, 1131, 711, 8209, 3132, 513, 1689, 538, 6010, 532, 540, 7513, 25202, 3536, 1152, 563, 763, 1292, 1599, 540, 713, 2689, 568, 547, 10332, 3988, 547, 519, 5763, 540, 2963, 585, 519, 6228, 540, 513, 7513, 14031, 269, 634, 10206, 4371, 676, 1896, 2038, 22602, 602, 7513, 14031, 729, 711, 4277, 1317, 621, 729, 4121, 568, 11234, 269, 4014, 972, 568, 1100, 8969, 602, 2831, 666, 12314, 2447, 657, 29022, 10291, 609, 519, 20171, 24304, 2360, 540, 7513, 28453, 630, 324, 3052, 1421, 4676, 338, 269, 476, 2004, 267, 476, 9873, 267, 476, 14530, 267, 476, 27886, 267, 476, 28091, 267, 476, 27088, 1070, 972, 568, 849, 2178, 2963, 585, 17916, 8060, 540, 519, 14031, 630, 324, 3052, 1421, 4676, 338, 269, 476, 5392, 267, 476, 2004, 267, 476, 6245, 1040, 4935, 267, 899, 1034, 824, 5615, 267, 7513, 14031, 814, 1312, 17916, 543, 4121, 3334, 563, 2467, 616, 1082, 796, 637, 9407, 2152, 827, 7513, 14031, 269, 12344, 519, 1034, 1271, 835, 568, 519, 2470, 540, 519, 12214, 2680, 610, 2621, 602, 20006, 543, 2165, 3729, 621, 269, 20290, 782, 519, 1239, 616, 5812, 609, 513, 2241, 2203, 538, 799, 519, 14031, 568, 11201, 569, 1644, 547, 1973, 9357, 1242, 7513, 9830, 630, 324, 3052, 1421, 4676, 338, 269, 476, 9873, 267, 476, 14530, 267, 476, 29579, 282, 1294, 8431, 269, 277, 1040, 6270, 513, 7271, 568, 24253, 569, 2241, 855, 6763, 538, 6825, 4334, 547, 1346, 5817, 824, 12608, 2572, 267, 1141, 2789, 17441, 543, 8849, 8060, 616, 3238, 267, 543, 1114, 6127, 7119, 538, 22612, 543, 2893, 2747, 630, 324, 3052, 1421, 4676, 338, 269, 476, 6858, 267, 476, 8064, 267, 476, 8660, 267, 476, 10844, 267, 476, 11152, 1040, 594, 14353, 602, 519, 3551, 7778, 540, 519, 5817, 7271, 540, 7513, 14031, 9356, 519, 533, 14072, 640, 540, 22317, 1239, 2864, 982, 519, 16134, 540, 519, 7271, 269, 11048, 267, 621, 568, 1271, 547, 3605, 875, 543, 1141, 2242, 538, 1973, 7513, 5834, 616, 9571, 676, 519, 595, 10064, 543, 875, 891, 6786, 616, 9268, 547, 3310, 2623, 563, 2005, 568, 15673, 532, 547, 5635, 519, 14031, 585, 7513, 609, 519, 1454, 811, 8499, 6594, 14031, 585, 9770, 269, 1717, 267, 519, 19320, 616, 711, 1360, 2178, 269, 1280, 9770, 267, 519, 3119, 4384, 1807, 540, 519, 14031, 568, 519, 5348, 1120, 2065, 2962, 540, 2587, 3999, 839, 514, 543, 620, 323, 16238, 538, 519, 2634, 630, 6858, 267, 476, 8064, 267, 476, 6434, 267, 476, 10844, 1040, 634, 7271, 540, 2893, 2747, 568, 1447, 2312, 267, 855, 693, 2547, 538, 519, 3731, 267, 621, 4440, 3322, 16063, 543, 646, 31154, 9770, 543, 15259, 3467, 1061, 832, 2864, 982, 513, 1463, 2962, 540, 9770, 538, 519, 2634, 630, 6858, 267, 3199, 267, 476, 4968, 267, 476, 19054, 1040, 1280, 7513, 14031, 267, 519, 2963, 568, 1996, 513, 5348, 1120, 2045, 4999, 540, 519, 1614, 3119, 10399, 630, 29579, 1070, 543, 7429, 519, 3510, 609, 2587, 3999, 839, 514, 543, 6070, 14031, 267, 972, 568, 1100, 2963, 602, 1612, 4331, 5514, 9449, 610, 18287, 527, 13908, 666, 3310, 7513, 6981, 10446, 540, 741, 3527, 593, 1973, 7513, 9830, 269, 634, 6252, 1063, 620, 323, 16238, 543, 476, 272, 267, 1839, 263, 15121, 264, 273, 291, 568, 10578, 1317, 1312, 616, 28335, 602, 3986, 15499, 9357, 10338, 543, 17669, 556, 25388, 1632, 267, 543, 1312, 666, 3310, 14031, 269, 1717, 267, 1804, 13066, 540, 620, 323, 16238, 2333, 10878, 5141, 6981, 630, 17168, 1070, 855, 1804, 13066, 540, 476, 272, 267, 1839, 263, 15121, 264, 273, 291, 6175, 7513, 6981, 630, 29579, 1040, 4935, 606, 1620, 540, 9770, 14031, 814, 711, 8810, 3226, 3730, 538, 1620, 7513, 14031, 269, 11569, 267, 7513, 14031, 1522, 811, 7443, 2406, 581, 3379, 609, 519, 14031, 585, 7280, 610, 1648, 267, 1317, 7429, 9770, 27921, 267, 891, 4125, 513, 13111, 630, 14752, 585, 7513, 267, 25026, 4094, 543, 5924, 3170, 585, 7280, 543, 1648, 282, 1294, 4676, 269, 476, 25834, 585, 513, 13111, 3069, 540, 9770, 14031, 1916, 763, 9295, 540, 5642, 547, 519, 1852, 540, 7513, 14031, 568, 23257, 1819, 269, 2368, 1909, 4667, 2693, 1317, 621, 568, 3622, 811, 2352, 547, 3132, 513, 7513, 14031, 538, 1804, 2831, 630, 5976, 2462, 7633, 264, 982, 1507, 3283, 630, 5976, 2370, 7633, 282, 1294, 3392, 269, 25831, 1040, 898, 568, 7164, 2436, 7513, 31398, 337, 1882, 2831, 2016, 1569, 547, 513, 2707, 540, 7513, 3824, 652, 6190, 547, 973, 19281, 782, 519, 5642, 7513, 789, 723, 4503, 269, 681, 1846, 543, 17944, 666, 3824, 652, 2614, 7513, 547, 556, 10968, 29414, 7513, 2157, 1369, 513, 1906, 3764, 269, 1403, 1973, 7513, 2157, 616, 1644, 547, 7513, 6981, 267, 835, 1522, 2503, 602, 28119, 2831, 1131, 3824, 652, 7513, 538, 15768, 536, 8083, 607, 29414, 7513, 8637, 616, 14578, 4904, 543, 1287, 27071, 547, 25579, 880, 5642, 8637, 269, 898, 568, 849, 10703, 22133, 602, 7513, 14031, 1223, 4431, 547, 513, 5955, 5365, 689, 5642, 269, 901, 1131, 581, 26922, 538, 2962, 547, 682, 696, 514, 267, 519, 968, 325, 520, 1922, 3975, 3724, 892, 9449, 267, 3238, 538, 519, 1852, 540, 1648, 14031, 563, 763, 1970, 1973, 7513, 30041, 7513, 6981, 8367, 1281, 711, 3362, 13918, 4681, 602, 7245, 540, 10285, 543, 29427, 28335, 2333, 7513, 6981, 630, 324, 3052, 1421, 4676, 338, 269, 476, 6924, 1700, 3583, 267, 476, 29483, 1040, 2290, 540, 519, 7887, 2152, 609, 713, 3332, 568, 519, 23506, 540, 519, 4679, 538, 7513, 14031, 269, 4107, 540, 519, 2090, 3238, 17544, 2016, 513, 3903, 1063, 2185, 7777, 8392, 1938, 630, 5632, 6458, 267, 11379, 267, 13101, 267, 543, 9770, 1040, 769, 5176, 1169, 2013, 1141, 7513, 6981, 2799, 267, 972, 729, 849, 606, 2333, 538, 10878, 5141, 6981, 269, 5047, 267, 1648, 6981, 568, 2799, 1282, 6379, 543, 14915, 566, 267, 543, 676, 7245, 540, 1609, 2784, 2723, 610, 19697, 630, 5408, 4676, 338, 269, 476, 5325, 267, 476, 6858, 543, 8100, 972, 514, 1040, 2201, 519, 824, 1688, 267, 646, 985, 2016, 513, 5094, 2707, 540, 7513, 1282, 4212, 18413, 17696, 519, 7110, 543, 1705, 711, 1397, 519, 8912, 2333, 538, 1426, 6981, 630, 5408, 4676, 269, 476, 30525, 1070, 11021, 602, 267, 693, 2547, 538, 713, 2013, 267, 1648, 6981, 568, 10071, 531, 547, 519, 991, 585, 7513, 269, 898, 3788, 547, 581, 5462, 547, 1018, 6708, 519, 1614, 12608, 2572, 616, 4830, 610, 4431, 547, 513, 2582, 12214, 1852, 563, 763, 23506, 540, 7513, 14031, 814, 1044, 606, 11972, 6161, 269, 681, 1846, 27226, 540, 8192, 7513, 2333, 28453, 540, 3309, 6070, 3435, 267, 1519, 1034, 1395, 26276, 543, 546, 20884, 8392, 1938, 267, 930, 7408, 267, 543, 1291, 21449, 622, 630, 4366, 267, 476, 5392, 267, 28638, 267, 476, 22550, 267, 476, 23310, 1040, 2368, 540, 891, 3435, 949, 581, 28041, 1317, 789, 6492, 2147, 547, 7513, 269, 11524, 267, 971, 607, 10878, 5141, 543, 1291, 21449, 622, 267, 949, 693, 2547, 17303, 993, 601, 1640, 622, 7513, 10638, 630, 29218, 1040, 11048, 267, 713, 3668, 540, 23506, 568, 22522, 609, 513, 1808, 14031, 269, 21298, 267, 621, 814, 1044, 6700, 602, 519, 14031, 585, 7513, 3812, 676, 25280, 311, 568, 811, 1808, 982, 602, 3812, 676, 8192, 22975, 630, 15757, 267, 476, 12739, 1070, 5310, 1317, 540, 519, 4028, 12614, 540, 10638, 1310, 25280, 311, 269, 1717, 267, 519, 2090, 1210, 14148, 609, 25280, 311, 4125, 513, 3903, 1449, 630, 25519, 5141, 273, 5288, 269, 10878, 5141, 610, 27002, 5141, 273, 1070, 6466 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 873, 538, 5163, 950, 519, 3662, 30254, 3196, 729, 711, 6190, 269, 634, 2164, 941, 1585, 281, 519, 2333, 540, 4074, 7607, 267, 519, 6454, 540, 10286, 2298, 267, 513, 1732, 1852, 540, 519, 5411, 936, 519, 2504, 1184, 269, 1879, 519, 8970, 941, 22691, 789, 556, 9464, 519, 4610, 609, 7504, 1673, 22148, 556, 3639, 282, 519, 26986, 3107, 3576, 1747, 593, 519, 3484, 12881, 282, 547, 5094, 519, 9274, 519, 10568, 729, 29041, 609, 513, 2864, 1279, 6529, 267, 519, 1439, 540, 799, 729, 13615, 609, 513, 14816, 540, 16463, 267, 1776, 6529, 267, 10156, 543, 18219, 267, 799, 729, 29352, 538, 519, 2011, 543, 2887, 593, 519, 18061, 540, 26389, 1547, 2060, 519, 8798, 540, 519, 4835, 13674, 2599, 713, 960, 729, 2944, 609, 519, 948, 540, 519, 26986, 615, 269, 634, 1439, 540, 519, 26986, 3107, 729, 547, 2322, 519, 10568, 538, 521, 2931, 267, 1247, 519, 12450, 729, 533, 6150, 538, 1390, 646, 2355, 563, 15578, 966, 6579, 6369, 12283, 700, 9281, 292, 454, 763, 2197, 729, 8385, 1396, 676, 3282, 22311, 602, 941, 23564, 593, 543, 1055, 676, 513, 18513, 804, 17064, 1572, 22917, 680, 7660, 269, 2353, 519, 8075, 1185, 835, 610, 1079, 19683, 1657, 2666, 543, 519, 3845, 1063, 873, 729, 1100, 811, 982, 2185, 7397, 267, 585, 602, 519, 2021, 267, 1373, 693, 1753, 3257, 26050, 267, 1223, 3362, 598, 2091, 609, 1142, 824, 610, 6467, 267, 609, 513, 29647, 267, 519, 3615, 689, 835, 2545, 935, 344, 547, 1776, 269, 634, 8075, 1185, 835, 610, 267, 693, 1034, 267, 1079, 11623, 269, 1703, 729, 519, 16832, 547, 2661, 281, 513, 1804, 5127, 267, 513, 9221, 267, 513, 3349, 267, 513, 1906, 23107, 543, 513, 1906, 588, 8962, 269, 769, 519, 10051, 972, 941, 31781, 267, 519, 2048, 335, 793, 1092, 685, 263, 10177, 6463, 5986, 1494, 1070, 11308, 610, 10036, 8286, 267, 519, 30660, 585, 7727, 540, 1216, 543, 12450, 30504, 16304, 593, 519, 3774, 799, 6192, 519, 29939, 902, 269, 634, 14334, 941, 1175, 25139, 676, 3282, 17689, 267, 1287, 676, 737, 14058, 2940, 17689, 543, 267, 585, 1346, 945, 1223, 6488, 621, 267, 676, 606, 3167, 15941, 267, 609, 6167, 2464, 585, 325, 7159, 4579, 267, 609, 476, 1428, 26334, 269, 634, 942, 729, 5309, 9822, 730, 676, 519, 30518, 269, 589, 16563, 7745, 676, 519, 9739, 540, 519, 2021, 267, 689, 519, 1453, 781, 3756, 267, 689, 519, 8574, 540, 513, 7047, 610, 519, 561, 675, 540, 8265, 21527, 267, 689, 519, 17180, 32291, 267, 519, 22938, 31066, 269, 1879, 5162, 3357, 267, 1004, 10356, 1472, 519, 2909, 345, 1512, 8781, 741, 7953, 267, 519, 2025, 2367, 5143, 519, 2984, 540, 519, 2250, 267, 519, 2112, 540, 519, 6512, 1080, 543, 519, 9735, 5515, 267, 26734, 267, 979, 4565, 1231, 543, 941, 342, 11510, 1547, 1879, 519, 3595, 729, 10057, 789, 4682, 547, 3207, 267, 547, 3636, 909, 563, 15578, 674, 5357, 298, 26353, 454, 763, 12563, 1148, 267, 1256, 538, 922, 16134, 267, 729, 519, 1259, 602, 4847, 519, 18803, 1004, 547, 2769, 2933, 543, 1185, 513, 2178, 2366, 14939, 543, 3929, 25664, 725, 267, 519, 6397, 25372, 543, 30181, 941, 12261, 883, 2241, 3515, 4352, 711, 1510, 513, 2178, 5279, 540, 11430, 878, 1143, 563, 1607, 1148, 729, 13736, 676, 519, 1352, 23311, 543, 519, 16027, 282, 676, 519, 13492, 2006, 543, 519, 2777, 342, 1057, 282, 607, 1134, 607, 676, 519, 5418, 2041, 1014, 945, 6068, 267, 3592, 15859, 1947, 267, 3083, 1518, 519, 3615, 602, 941, 1031, 4948, 538, 922, 1272, 563, 2171, 1058, 1589, 547, 519, 16853, 543, 519, 2458, 1513, 540, 930, 2831, 602, 519, 1352, 23311, 24224, 609, 18305, 602, 18056, 1010, 4978, 543, 1010, 1604, 282, 519, 838, 9398, 267, 519, 17078, 956, 543, 519, 20077, 11308, 588, 8962, 799, 24224, 519, 16434, 5321, 282, 543, 849, 519, 2377, 549, 3187, 625, 543, 519, 561, 2167, 799, 941, 519, 1292, 1106, 540, 7499, 4082, 540, 938, 20516, 338, 267, 519, 7601, 3615, 540, 24886, 5546, 602, 941, 8288, 538, 519, 10051, 267, 519, 11815, 902, 267, 543, 6368, 267, 519, 4401, 7841, 902, 799, 24224, 519, 30013, 8075, 563, 288, 1906, 1806, 547, 3314, 875, 538, 519, 2250, 1004, 941, 20916, 547, 5007, 1125, 741, 7209, 543, 741, 9703, 17381, 563, 303, 8656, 313, 313, 288, 590, 8160, 2752, 8656, 16692, 13878, 2316, 3008, 1923, 476, 278, 1015, 1724, 590, 269, 22542, 10976, 3198, 25712, 681, 5588, 2177, 23077, 1923, 5442, 23859, 287, 300, 27516, 8016, 4338, 308, 3198, 302, 269, 3951, 1923, 13431, 310, 8160, 27516, 8016, 4338, 308, 3198, 302, 269, 3951 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 609, 32677, 566, 3069, 269, 1280, 713, 2186, 540, 2042, 835, 814, 547, 946, 7313, 514, 3249, 6441, 785, 23264, 339, 1505, 1496, 272, 316, 1496, 273, 4940, 634, 1507, 6724, 538, 519, 5449, 11186, 4834, 616, 4399, 10401, 259, 543, 4399, 15883, 259, 865, 649, 666, 2328, 1524, 630, 1492, 1482, 666, 2944, 585, 4399, 15883, 259, 2567, 6695, 9536, 582, 12757, 348, 1341, 1422, 18652, 318, 271, 317, 273, 343, 815, 28363, 10401, 13375, 3287, 317, 273, 10954, 2765, 3189, 15883, 7346, 10401, 26507, 317, 274, 1422, 2431, 1040, 2330, 3371, 4399, 10401, 259, 786, 581, 938, 1507, 9936, 543, 649, 616, 3168, 585, 513, 3070, 540, 519, 1106, 3230, 343, 6025, 264, 815, 589, 315, 6523, 7268, 18652, 512, 264, 1341, 1422, 10401, 1535, 318, 272, 6025, 264, 1341, 1422, 10401, 317, 273, 343, 318, 273, 6025, 264, 1341, 1422, 24126, 2330, 6695, 18652, 815, 1422, 18652, 318, 271, 1341, 1422, 10401, 315, 18652, 318, 272, 1341, 1422, 10401, 317, 273, 315, 18652, 318, 273, 1341, 1422, 24126, 2330, 609, 3355, 2175, 1269, 343, 263, 271, 6661, 288, 259, 543, 4399, 25346, 12757, 12917, 271, 6661, 271, 259, 563, 5575, 540, 782, 267, 649, 1689, 4632, 4399, 339, 879, 815, 1422, 18652, 512, 8961, 865, 602, 649, 1205, 6695, 18652, 317, 273, 1535, 5257, 266, 1422, 18652, 317, 273, 318, 271, 1535, 815, 28363, 10401, 13375, 3287, 317, 273, 1341, 1422, 2765, 3189, 15883, 7346, 10401, 26507, 317, 274, 1422, 2431, 1070, 2330, 1141, 1269, 343, 5257, 259, 18575, 2034, 12045, 936, 4399, 339, 879, 10608, 1284, 2322, 938, 3126, 4542, 585, 1269, 343, 259, 543, 4399, 18652, 259, 543, 1349, 2474, 538, 519, 1482, 1931, 540, 4399, 10401, 259, 281, 6695, 3847, 314, 1422, 18652, 318, 271, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 272, 1422, 10401, 1341, 1422, 10401, 317, 273, 22570, 18652, 318, 272, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 273, 264, 1341, 1422, 24126, 1422, 2431, 316, 1422, 10383, 1422, 3847, 15631, 288, 315, 6523, 29146, 879, 1341, 1422, 10401, 1535, 5257, 318, 272, 1341, 1422, 10401, 317, 273, 1535, 5257, 318, 273, 1341, 1422, 24126, 1422, 2431, 316, 1341, 1422, 18652, 318, 271, 317, 273, 1422, 3847, 314, 288, 315, 6523, 29146, 879, 1341, 1422, 10401, 1535, 318, 272, 1341, 1422, 10401, 317, 273, 1535, 318, 273, 1341, 1422, 24126, 1422, 2431, 316, 815, 28363, 10401, 1422, 3847, 314, 288, 317, 273, 315, 6523, 317, 273, 29146, 879, 1341, 476, 273, 315, 10401, 1535, 318, 272, 589, 315, 6523, 29146, 879, 1341, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 3847, 10490, 317, 274, 315, 6523, 317, 274, 29146, 879, 1341, 476, 274, 315, 10401, 1535, 318, 272, 589, 317, 273, 315, 6523, 317, 273, 29146, 879, 1422, 2431, 264, 1341, 1422, 24126, 1422, 2431, 316, 16465, 17961, 9387, 348, 1535, 5257, 318, 272, 1341, 1535, 318, 272, 1299, 815, 1422, 2765, 346, 273, 288, 315, 18652, 318, 272, 7346, 18652, 318, 271, 4153, 6523, 29146, 879, 910, 1422, 2765, 31505, 317, 273, 7346, 18652, 317, 273, 318, 271, 4153, 6523, 317, 273, 29146, 879, 910, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 31505, 317, 274, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 317, 274, 29146, 879, 8607, 1299, 815, 1422, 6523, 29146, 879, 13375, 24560, 2765, 346, 273, 288, 315, 18652, 318, 272, 7346, 18652, 318, 271, 32757, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 589, 317, 274, 2410, 275, 315, 18652, 318, 271, 317, 273, 4153, 2431, 316, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 348, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 476, 273, 29146, 879, 910, 1422, 2765, 346, 272, 2410, 273, 4153, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 31505, 317, 274, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 476, 274, 29146, 879, 267, 1422, 754, 9387, 348, 609, 1269, 343, 318, 272, 263, 271, 6661, 271, 259, 543, 1269, 343, 262, 318, 272, 263, 271, 6661, 271, 10608, 1403, 649, 1616, 547, 6146, 519, 22298, 2165, 630, 1492, 835, 609, 4399, 6523, 29146, 879, 259, 264, 649, 991, 547, 1305, 6695, 18652, 318, 272, 815, 1422, 2765, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 2410, 279, 4153, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 20467, 2330, 3973, 1269, 343, 318, 272, 7268, 339, 879, 7751, 31758, 547, 3230, 343, 318, 272, 7268, 339, 879, 264, 815, 1422, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 3847, 314, 10559, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 3847, 7268, 2765, 346, 272, 2410, 274, 348, 910, 1422, 2765, 346, 272, 2410, 1626, 4153, 2765, 3189, 15883, 7346, 10401, 348, 288, 9368, 9385, 6523, 29146, 879, 1341, 1422, 2765, 346, 272, 2410, 277, 4153, 6523, 476, 273, 29146, 879, 1341, 589, 21702, 346, 272, 2410, 1626, 4153, 2765, 3189, 15883, 7346, 10401, 4153, 6523, 476, 274, 29146, 879, 1422, 2431, 4940, 16465, 2330, 343, 318, 273, 5257, 1341, 1535, 318, 273, 815, 1422, 2765, 31505, 7346, 18652, 318, 271, 317, 273, 32710, 18652, 318, 272, 317, 273, 1341, 476, 273, 315, 18652, 318, 271, 315, 18652, 318, 273, 9385, 6523, 29146, 879, 910, 476, 273, 21702, 3189, 18652, 318, 272, 7346, 18652, 318, 271, 26507, 5257, 318, 272, 910, 1535, 318, 272, 21702, 346, 273, 288, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 29146, 879, 268, 1535, 318, 272, 21702, 3189, 15883, 7346, 10401, 4153, 2765, 346, 274, 288, 317, 273, 7346, 18652, 318, 271, 317, 273, 4153, 6523, 317, 273, 29146, 879, 267, 2330, 609, 1269, 343, 318, 273, 263, 271, 6661, 271, 259, 543, 1269, 343, 262, 318, 273, 263, 271, 6661, 271, 10608, 901, 568, 513, 1483, 3190, 799, 594, 993, 711, 2469, 547, 2022, 1934, 267, 855, 6695, 18652, 318, 273, 815, 1422, 2765, 31505, 317, 273, 7346, 18652, 318, 271, 317, 274, 4153, 3847, 24560, 2765, 31505, 2410, 275, 4153, 2765, 3189, 15883, 7346, 10401, 32757, 2765, 346, 274, 288, 317, 273, 2410, 5038, 4153, 3847, 7268, 2765, 3189, 15883, 7346, 10401, 4153, 2431, 8203, 273, 10559, 2765, 346, 274, 288, 317, 273, 2410, 5038, 32757, 2765, 346, 276, 2410, 1321, 4153, 2431, 316, 2330, 0, 266, 271, 692, 258, 6435, 692, 271, 454, 6942, 454, 272, 692, 19350, 568, 513, 6712, 540, 519, 3113, 540, 606, 538, 3200, 1043, 1599, 267, 8096, 344, 284, 325, 3287, 9385, 259, 1384, 2252, 8096, 325, 5416, 6661, 321, 15478, 543, 8096, 325, 6357, 6661, 275, 315, 8961, 1287, 1018, 568, 519, 1871, 540, 8096, 320, 1532, 15478, 2496, 19878, 476, 2190, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 23056, 271, 454, 266, 272, 692, 2252, 1109, 315, 263, 325, 6357, 6661, 275, 315, 1070, 1287, 713, 1797, 602, 972, 568, 513, 1808, 3403, 585, 713, 1599, 602, 17016, 476, 275, 269, 2201, 513, 3113, 267, 519, 1535, 268, 11161, 2099, 519, 11378, 540, 519, 1599, 543, 519, 586, 268, 11161, 2099, 519, 3977, 269, 769, 713, 2013, 267, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 799, 568, 10423, 1317, 540, 519, 2016, 3113, 780, 2252, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 1287, 1109, 315, 263, 321, 284, 273, 315, 1070, 865, 1109, 315, 263, 325, 5416, 6661, 273, 315, 1040, 4635, 519, 1482, 7744, 607, 1354, 267, 1109, 315, 263, 325, 263, 271, 6661, 273, 315, 1070, 865, 1109, 315, 263, 320, 284, 271, 315, 2020, 315, 263, 320, 1532, 284, 271, 268, 273, 15871, 273, 315, 2020, 563, 19878, 476, 2190, 267, 476, 1001, 279, 692, 258, 272, 454, 266, 23056, 271, 454, 266, 272, 692, 2252, 1109, 315, 263, 325, 6357, 6661, 275, 315, 1070, 1287, 713, 1797, 602, 972, 568, 513, 1808, 3403, 585, 713, 1599, 602, 17016, 476, 275, 269, 2201, 513, 3113, 267, 519, 1535, 268, 11161, 2099, 519, 11378, 540, 519, 1599, 543, 519, 586, 268, 11161, 2099, 519, 3977, 269, 769, 713, 2013, 267, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 799, 568, 10423, 1317, 540, 519, 2016, 3113, 780, 2252, 1109, 315, 263, 325, 263, 273, 6661, 275, 315, 1070, 1287, 1109, 315, 263, 321, 284, 273, 315, 1070, 865, 1109, 315, 263, 325, 5416, 6661, 273, 315, 1040, 4635, 519, 1482, 7744, 607, 1354, 267, 1109, 315, 263, 325, 263, 271, 6661, 273, 315, 1070, 865, 1109, 315, 263, 320, 284, 271, 315, 2020, 315, 263, 320, 1532, 284, 271, 268, 273, 15871, 273, 315, 2020, 763, 311, 306, 32464, 15542, 528, 1109, 19878, 476, 2190, 267, 476, 1001, 279, 0, 1012, 589, 10670, 1676, 779, 6651, 609, 681, 3009, 692, 6624, 540, 596, 1522, 711, 723, 4862, 540, 32094, 3157, 1354, 543, 581, 11842, 875, 789, 1522, 581, 4143, 547, 596, 269, 17616, 267, 18802, 2103, 1522, 1265, 32094, 3157, 513, 8799, 1259, 540, 9781, 2625, 8494, 2065, 2621, 269, 3958, 267, 1346, 4277, 538, 15699, 1565, 949, 1265, 602, 713, 1344, 4396, 5809, 741, 1620, 540, 681, 299, 2035, 971, 607, 4460, 990, 932, 1622, 269, 14936, 267, 713, 2376, 568, 2110, 543, 2653, 3562, 17000, 267, 865, 952, 596, 2461, 8049, 827, 32094, 3157, 2933, 267, 1287, 713, 568, 513, 1434, 4367, 780, 12179, 3988, 540, 519, 1739, 5850, 1058, 917, 5119, 4238, 267, 971, 607, 8691, 267, 607, 1134, 607, 513, 2596, 1620, 540, 5276, 7223, 269, 1280, 519, 19160, 540, 1786, 6143, 267, 1082, 5276, 7223, 2035, 616, 711, 6045, 538, 713, 5850, 269, 901, 2376, 814, 681, 3009, 585, 1346, 945, 616, 5461, 267, 855, 621, 568, 711, 2556, 547, 1246, 519, 3009, 607, 596, 1224, 519, 2376, 780, 1012, 17943, 543, 9502, 692, 763, 1101, 2243, 1082, 540, 596, 949, 723, 568, 519, 3169, 2470, 540, 513, 32094, 1184, 269, 634, 2262, 2048, 560, 27181, 685, 12777, 1797, 2048, 12690, 8730, 1498, 32094, 3157, 616, 711, 8209, 4351, 281, 789, 666, 581, 7357, 15002, 2065, 267, 538, 1249, 269, 15439, 2322, 267, 513, 32094, 1184, 568, 1022, 6310, 1184, 602, 666, 581, 24018, 609, 513, 1920, 540, 4351, 4632, 269, 589, 11777, 19184, 568, 513, 1390, 1383, 1317, 540, 922, 16134, 269, 1284, 1376, 609, 513, 11777, 2212, 13522, 543, 1287, 16212, 621, 4010, 2899, 269, 634, 5506, 540, 519, 11777, 13941, 593, 9843, 568, 1547, 276, 267, 543, 21217, 568, 1547, 276, 269, 1403, 519, 11113, 3338, 593, 9843, 267, 519, 2048, 8063, 685, 540, 519, 1158, 568, 24240, 267, 1247, 952, 519, 11777, 3338, 593, 21217, 267, 519, 2048, 8063, 685, 814, 4957, 269, 901, 666, 581, 24018, 609, 519, 5119, 2630, 1384, 7775, 267, 513, 811, 3308, 1935, 1384, 763, 9343, 2099, 2829, 267, 609, 17831, 540, 28006, 547, 824, 2829, 538, 616, 538, 519, 9587, 269, 1403, 596, 2461, 538, 1533, 476, 271, 630, 21650, 264, 543, 596, 16212, 519, 11777, 267, 707, 8458, 540, 10678, 909, 538, 1533, 21217, 630, 8063, 476, 272, 264, 666, 581, 2938, 538, 519, 630, 271, 267, 476, 272, 264, 7127, 538, 519, 5119, 1657, 30285, 276, 6393, 2026, 1776, 1383, 267, 15475, 596, 723, 476, 273, 23252, 538, 513, 5399, 269, 1879, 1312, 23252, 616, 2324, 267, 972, 568, 513, 476, 1789, 2600, 4960, 602, 835, 9397, 1169, 1554, 267, 543, 513, 476, 271, 2600, 4960, 602, 789, 1312, 2736, 269, 1403, 835, 17002, 568, 7745, 267, 1287, 972, 568, 513, 476, 736, 2600, 4960, 602, 513, 7816, 2006, 2501, 676, 593, 602, 1554, 543, 4368, 525, 621, 267, 543, 513, 476, 2412, 2600, 4960, 602, 519, 2034, 17002, 9397, 269, 1879, 1312, 616, 7745, 267, 1287, 972, 568, 513, 476, 1911, 2600, 4960, 602, 513, 7816, 2006, 2501, 676, 543, 4368, 525, 1312, 23252, 269, 634, 5119, 8204, 713, 1184, 568, 3254, 2630, 1384, 30860, 602, 630, 271, 267, 476, 271, 264, 815, 1547, 278, 2094, 630, 271, 267, 476, 272, 264, 815, 1547, 274, 543, 630, 271, 267, 476, 273, 264, 815, 476, 271, 269, 3962, 4737, 1590, 1039, 909, 547, 476, 272, 1317, 789, 2461, 20651, 676, 15768, 5506, 14778, 269, 634, 1482, 6585, 3020, 585, 7127, 630, 272, 267, 476, 272, 1040, 18564, 602, 519, 3803, 4737, 15002, 12264, 4422, 689, 1533, 476, 273, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 811, 982, 1896, 8536, 264, 540, 16712, 7642, 945, 1118, 741, 2132, 630, 5052, 16852, 9366, 264, 547, 519, 18179, 16784, 269, 1280, 519, 10156, 2165, 267, 519, 688, 1042, 328, 7642, 6720, 553, 1125, 602, 267, 7064, 547, 519, 18711, 16018, 789, 1852, 538, 519, 918, 1145, 564, 7175, 873, 547, 1118, 610, 2736, 2229, 5755, 1431, 267, 789, 949, 936, 3873, 592, 9086, 543, 1118, 5840, 834, 297, 28779, 257, 1586, 269, 2859, 1419, 982, 711, 267, 2705, 267, 789, 9765, 519, 7182, 540, 741, 804, 719, 543, 1265, 2933, 6450, 4428, 539, 267, 607, 950, 18303, 6305, 14012, 962, 6308, 327, 752, 1744, 600, 597, 536, 1779, 539, 693, 519, 19175, 540, 2348, 547, 1780, 519, 834, 15367, 568, 513, 4035, 257, 3915, 269, 13298, 982, 2196, 519, 1981, 540, 1651, 584, 2590, 519, 32716, 540, 1977, 4035, 787, 267, 1744, 600, 597, 13264, 1055, 16395, 609, 519, 3397, 644, 520, 962, 529, 5361, 543, 3964, 513, 3084, 9322, 22687, 538, 5412, 476, 2735, 279, 269, 634, 834, 2889, 915, 338, 257, 540, 18179, 2797, 1852, 2348, 9863, 547, 581, 16403, 20143, 282, 519, 2620, 268, 549, 6838, 4250, 2899, 1586, 759, 584, 325, 3166, 269, 589, 688, 1042, 328, 11356, 21107, 1242, 912, 5278, 540, 721, 22157, 547, 7340, 602, 649, 616, 538, 1401, 850, 543, 5910, 2105, 602, 649, 949, 1831, 4622, 16234, 538, 713, 16712, 626, 865, 10777, 10806, 269, 1284, 2864, 723, 547, 581, 12922, 540, 519, 32134, 540, 606, 4550, 268, 7775, 628, 13454, 13618, 269, 1403, 649, 798, 711, 2673, 16034, 543, 4339, 1394, 267, 1884, 790, 31437, 4031, 786, 267, 2696, 17246, 573, 267, 581, 21892, 267, 543, 519, 4567, 28943, 1496, 514, 3909, 6927, 316, 786, 14897, 269, 1284, 786, 581, 16207, 883, 513, 556, 1173, 340, 731, 6370, 585, 938, 1360, 6668, 607, 688, 1042, 328, 7642, 538, 834, 516, 31437, 13190, 2437, 561, 652, 938, 1378, 3872, 1062, 267, 938, 10723, 9811, 327, 643, 553, 267, 949, 711, 581, 4761, 689, 519, 32356, 540, 519, 7060, 6253, 520, 15515, 563, 1607, 4999, 540, 2530, 540, 30566, 344, 543, 2527, 1219, 1254, 2099, 267, 538, 7826, 1612, 28917, 267, 834, 1492, 10782, 8594, 547, 519, 5939, 2094, 13162, 1701, 5246, 29989, 700, 1030, 20623, 341, 516, 29805, 621, 513, 31685, 811, 25254, 982, 519, 20655, 540, 23597, 896, 519, 3943, 7169, 781, 1381, 540, 2601, 269, 670, 1563, 328, 14558, 529, 971, 607, 519, 670, 7571, 1772, 327, 630, 323, 269, 476, 4198, 274, 264, 543, 661, 269, 631, 269, 5576, 778, 630, 323, 269, 476, 1220, 272, 264, 2808, 621, 519, 10782, 1608, 600, 640, 538, 1079, 27453, 540, 1272, 538, 24815, 269, 6129, 14269, 543, 26757, 262, 924, 12356, 1294, 621, 607, 26922, 547, 519, 1102, 573, 1564, 540, 2725, 17433, 9991, 2390, 17124, 781, 6263, 3984, 267, 543, 538, 519, 26757, 262, 924, 2013, 267, 607, 24188, 540, 519, 1958, 1844, 2211, 540, 1955, 600, 26036, 572, 514, 543, 1010, 1906, 13794, 676, 519, 772, 16673, 344, 611, 7952, 267, 10678, 538, 519, 25337, 32003, 540, 519, 3735, 18749, 2540, 269, 5246, 29989, 700, 1030, 20623, 341, 516, 3379, 1010, 6263, 26600, 630, 704, 4257, 29235, 547, 835, 4627, 8536, 5001, 264, 609, 519, 5722, 8536, 20785, 540, 519, 21024, 18379, 26400, 538, 1010, 4339, 1996, 519, 28556, 540, 519, 13391, 531, 269, 1548, 2306, 519, 8594, 782, 519, 1178, 591, 568, 922, 561, 675, 543, 1202, 573, 1190, 1145, 269, 634, 4244, 267, 16712, 1259, 540, 1272, 6157, 568, 782, 1005, 269, 898, 22587, 547, 519, 26756, 267, 9621, 8216, 11815, 2305, 267, 1732, 1570, 2175, 267, 543, 519, 1995, 540, 834, 3405, 11538, 835, 781, 1378, 2053, 257, 538, 2474, 540, 3621, 543, 6639, 9740, 269, 1215, 2653, 621, 568, 267, 543, 875, 1455, 267, 547, 581, 29279, 547, 621, 269, 16241, 2245, 568, 2693, 547, 581, 8774, 1769, 27329, 569, 267, 1419, 7938, 9231, 569, 269, 28673, 13151, 29304, 547, 513, 16990, 1102, 520, 6672, 543, 10523, 513, 4990, 540, 6653, 2669, 267, 513, 1928, 1652, 552, 30984, 267, 952, 596, 786, 563, 3412, 1137, 540, 8213, 543, 1102, 520, 6672, 7693, 909, 538, 947, 14688, 538, 519, 4909, 626, 5868, 269, 26637, 21960, 333, 29231, 5206, 540, 519, 834, 817, 574, 7976, 812, 807, 257, 630, 10112, 574, 7976, 2471, 1276, 339, 264, 689, 799, 8284, 7642, 267, 2523, 519, 24084, 2989, 4111, 757, 807, 630, 332, 2532, 559, 574, 1070, 834, 28205, 6014, 30280, 2437, 11124, 269, 634, 22504, 808, 531, 531, 1325, 3887, 13259, 24703, 630, 323, 269, 476, 3422, 280, 264, 22579, 519, 2165, 4639, 17907, 807, 267, 610, 2864, 267, 4639, 2135, 1709, 630, 724, 16808, 345, 611, 698, 328, 1070, 547, 2491, 519, 32252, 3512, 540, 7214, 31794, 630, 4900, 534, 1922, 16725, 264, 6537, 547, 2413, 2528, 269, 634, 5375, 1242, 630, 325, 15546, 10202, 2173, 320, 262, 629, 264, 616, 538, 1249, 4639, 19899, 520, 18050, 630, 1492, 12428, 6697, 267, 538, 6129, 14269, 1612, 28917, 267, 568, 1590, 27895, 1026, 684, 1040, 634, 16712, 1235, 1185, 15468, 10352, 547, 513, 3514, 540, 1202, 534, 640, 267, 1767, 22189, 2349, 21123, 731, 267, 1247, 824, 17557, 15393, 6193, 1235, 4857, 519, 4638, 31117, 25793, 14414, 676, 7989, 1170, 4369, 607, 519, 1034, 1303, 6005, 25246, 540, 519, 16712, 13463, 28282, 545, 1259, 540, 1272, 269, 3057, 4897, 700, 1030, 20623, 341, 516, 1031, 519, 14165, 540, 15978, 12845, 1202, 573, 1190, 4731, 8014, 26438, 998, 7989, 1170, 633, 2623, 23829, 606, 19038, 6609, 540, 519, 6794, 3413, 997, 1154, 1312, 2486, 543, 519, 2022, 935, 4290, 3511, 5939, 281, 513, 6794, 540, 5418, 553, 9092, 1582, 1673, 652, 2315, 563, 2750, 1356, 696, 539, 689, 31031, 32670, 23781, 24702, 676, 28792, 589, 269, 1325, 12107, 681, 269, 8845, 11197, 2421, 2506, 28609, 590, 23186, 14645, 9736, 476, 1220, 274, 676, 634, 2160, 540, 9628, 4964, 269, 1401, 1356, 696, 539, 676, 10479, 563, 5472, 2924, 11603, 269, 3143, 851, 540, 713, 21626, 949, 581, 25735, 610, 1065, 11781, 539, 1510, 10479, 538, 1603, 689, 519, 17404, 563, 2750, 1356, 14186, 616, 3177, 676, 12480, 5025, 5174, 809, 5549, 269, 9003, 585, 519, 2123, 946, 540, 8436, 547, 713, 1357, 3135, 563, 8368, 540, 12937, 454, 763, 2037, 743, 1511, 9177, 454, 293, 1495, 4442, 1143, 281, 2637, 639, 543, 15661, 454, 1805, 4450, 267, 26554, 543, 14893, 454, 310, 6135, 1782, 609, 519, 2622, 912, 293, 1495, 4442, 626, 28073, 607, 9622, 7217, 7010, 454, 14818, 532, 519, 7844, 912, 303, 29176, 267, 23532, 640, 267, 543, 27284, 626, 11150, 454, 763, 18370, 11072, 540, 27284, 1143, 454, 7343, 21043, 547, 3848, 476, 273, 454, 7343, 21043, 547, 3848, 476, 274, 454, 7343, 21043, 547, 3848, 476, 275, 0, 15371, 596, 2811, 3843, 547, 6336, 2597, 610, 1175, 3206, 827, 707, 2949, 1072, 267, 4006, 568, 513, 5458, 1981, 3815, 538, 519, 2413, 2732, 269, 1280, 1082, 1004, 267, 4006, 4667, 834, 338, 12522, 257, 1317, 621, 781, 865, 1459, 538, 741, 1169, 1554, 1272, 269, 898, 781, 538, 707, 29877, 4234, 974, 267, 707, 14614, 267, 543, 707, 7484, 322, 820, 269, 4676, 1441, 4006, 568, 849, 3773, 547, 9118, 1426, 2472, 1282, 4393, 267, 689, 11337, 577, 1575, 547, 18437, 14036, 547, 3694, 547, 19997, 19703, 269, 2052, 519, 6653, 8631, 2731, 581, 513, 9651, 547, 707, 1072, 888, 2080, 781, 519, 2182, 5168, 281, 4006, 5540, 707, 10307, 267, 1818, 621, 2182, 547, 6336, 2597, 282, 707, 4522, 267, 4929, 19659, 282, 543, 707, 6797, 267, 707, 1560, 781, 2101, 19288, 1062, 269, 589, 1164, 1606, 13610, 2732, 1256, 6971, 519, 2298, 540, 519, 20018, 538, 707, 2960, 267, 1818, 596, 1413, 4587, 269, 17491, 666, 2014, 7378, 4187, 267, 513, 19480, 6149, 547, 7392, 4083, 3987, 269, 1656, 547, 1118, 621, 1256, 811, 2352, 547, 585, 2998, 519, 26265, 267, 4006, 666, 581, 22925, 585, 1082, 1004, 267, 4929, 513, 5305, 540, 22006, 538, 519, 834, 516, 1189, 8998, 257, 540, 519, 2634, 269, 634, 5377, 1899, 568, 602, 3773, 14836, 2270, 513, 2898, 19619, 540, 8477, 543, 1100, 1898, 5567, 563, 10673, 1405, 979, 4411, 2389, 584, 4486, 454, 10214, 952, 596, 18418, 2299, 1616, 547, 21199, 519, 4006, 17079, 267, 596, 1522, 1616, 547, 1491, 513, 811, 16795, 1935, 269, 2806, 4533, 569, 2469, 4006, 6954, 666, 2014, 7920, 15639, 2589, 281, 14331, 267, 4160, 267, 543, 7099, 23638, 563, 18933, 3558, 547, 2067, 267, 796, 15263, 539, 6653, 22211, 454, 2080, 616, 513, 1906, 8902, 8925, 547, 15568, 4006, 865, 596, 1810, 1406, 723, 547, 4625, 10205, 707, 6653, 5694, 912, 8448, 26265, 596, 666, 3548, 454, 6624, 1426, 2472, 723, 14836, 602, 2049, 6923, 267, 971, 607, 535, 28229, 538, 4829, 543, 26178, 538, 5144, 2472, 269, 5221, 519, 4006, 538, 4829, 568, 7059, 609, 6775, 543, 824, 5567, 267, 621, 3085, 1405, 723, 519, 0, 347, 20082, 10573, 25748, 267, 4872, 2066, 519, 1158, 8045, 5682, 23566, 4248, 24486, 630, 294, 10485, 1070, 513, 4640, 602, 3096, 10664, 547, 4383, 7088, 4248, 269, 2755, 2963, 5267, 602, 717, 10485, 2488, 8733, 2640, 547, 519, 4683, 1604, 267, 649, 917, 2370, 827, 875, 717, 10485, 5222, 1480, 1072, 543, 1134, 5630, 269, 1284, 917, 602, 4683, 2470, 267, 971, 607, 4054, 543, 11614, 267, 2488, 1082, 1480, 1072, 2640, 543, 568, 3810, 9053, 269, 717, 10485, 267, 2705, 267, 9775, 538, 5546, 267, 7306, 267, 543, 6272, 547, 1489, 922, 2189, 7088, 4248, 3252, 269, 4706, 23079, 7494, 8428, 689, 519, 6671, 4683, 5251, 609, 544, 15735, 1876, 985, 543, 9921, 4054, 269, 14348, 891, 1114, 3029, 540, 4683, 2470, 2488, 519, 1482, 1072, 2640, 609, 4054, 4805, 286, 2334, 568, 267, 547, 1018, 6708, 798, 1004, 4782, 717, 10485, 607, 513, 851, 540, 4683, 5251, 11652, 538, 10137, 267, 2744, 1072, 2640, 950, 789, 2170, 609, 717, 10485, 286, 901, 3668, 540, 1702, 11151, 9858, 543, 24990, 689, 8888, 717, 10485, 602, 1004, 4782, 267, 799, 1522, 2569, 519, 7145, 540, 4683, 2470, 269, 5015, 267, 1004, 616, 1447, 2693, 547, 3398, 543, 3565, 585, 519, 8916, 789, 798, 711, 4782, 267, 799, 1522, 1860, 519, 2773, 540, 717, 10485, 3294, 563, 2414, 2232, 713, 1382, 7934, 267, 594, 5342, 2185, 12170, 2090, 16046, 717, 10485, 543, 1480, 13283, 543, 1134, 5630, 269, 3689, 267, 594, 8947, 875, 1004, 9228, 543, 9053, 1114, 1826, 540, 717, 10485, 1210, 8666, 6709, 3878, 32666, 543, 3815, 2079, 269, 3973, 267, 594, 8947, 875, 1004, 9053, 717, 10485, 8916, 609, 1114, 10664, 5860, 2157, 676, 7421, 1614, 8666, 6709, 3878, 32666, 543, 645, 992, 526, 690, 779, 5682, 12039, 267, 513, 5063, 2919, 1907, 602, 14439, 10664, 5860, 3842, 3684, 1565, 543, 3239, 4393, 269, 12059, 267, 594, 11567, 519, 3347, 1063, 717, 10485, 5860, 543, 1079, 28400, 14428, 903, 8344, 3800, 281, 2566, 543, 3007, 269, 7053, 267, 594, 8947, 875, 824, 4683, 8658, 267, 971, 607, 9228, 3190, 1465, 267, 9228, 2157, 540, 4683, 7835, 267, 543, 9228, 3106, 3310, 717, 10485, 13283, 267, 543, 2436, 891, 8658, 1199, 5573, 519, 2078, 1063, 10664, 5860, 543, 13283, 563, 296, 1336, 602, 1114, 2010, 540, 717, 10485, 616, 9053, 8335, 267, 543, 3190, 1465, 5129, 513, 1909, 538, 6915, 3146, 339, 1549, 13283, 269, 2859, 10664, 5860, 10567, 2362, 13283, 267, 855, 606, 2333, 538, 10664, 5860, 729, 2404, 609, 811, 10565, 2242, 538, 13283, 950, 519, 10664, 5860, 1377, 729, 1970, 269, 594, 1705, 711, 1265, 513, 1713, 2078, 1063, 717, 10485, 267, 2566, 267, 543, 3007, 4390, 269, 7053, 267, 594, 1336, 602, 9228, 2157, 540, 4683, 7835, 543, 9228, 3106, 10567, 717, 10485, 13283, 267, 855, 1705, 711, 1199, 5573, 519, 2078, 1063, 717, 10485, 10664, 5860, 543, 13283, 563, 5804, 938, 2164, 267, 594, 6700, 602, 9858, 1058, 711, 581, 27209, 689, 7311, 717, 10485, 538, 519, 4683, 1604, 267, 2523, 1472, 519, 2127, 609, 1970, 10664, 5860, 269, 5071, 619, 543, 24990, 1058, 11168, 16517, 1145, 543, 10291, 540, 1416, 538, 717, 10485, 6272, 269, 1358, 1058, 1265, 513, 1259, 547, 7413, 9228, 4683, 5251, 267, 602, 568, 281, 1118, 519, 5251, 2408, 811, 2067, 267, 543, 2333, 9228, 3106, 538, 717, 10485, 6388, 267, 1851, 824, 8916, 269, 901, 1382, 568, 1271, 1317, 621, 568, 835, 540, 519, 1101 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 705, 903, 7356, 269, 589, 1804, 2179, 540, 519, 5068, 11149, 3812, 666, 1406, 1256, 581, 13381, 538, 519, 1101, 1747, 269, 901, 568, 7361, 1317, 912, 268, 1358, 616, 1500, 689, 6404, 2326, 454, 268, 11120, 1988, 2877, 547, 22120, 519, 2472, 798, 711, 2291, 454, 2108, 314, 1862, 316, 9657, 6703, 2066, 519, 2197, 616, 711, 2111, 547, 4990, 267, 6133, 267, 543, 1065, 549, 947, 1454, 540, 519, 5068, 602, 3549, 3132, 3034, 268, 3807, 513, 570, 4176, 26271, 540, 3013, 779, 21311, 2052, 24511, 2142, 1234, 7094, 539, 267, 23171, 11740, 454, 309, 597, 6265, 6151, 2326, 616, 10464, 269, 1234, 8010, 532, 873, 3842, 9657, 1419, 3790, 811, 982, 1210, 1007, 269, 1306, 513, 1267, 267, 621, 779, 2352, 585, 519, 11183, 2872, 547, 17854, 1210, 17071, 13381, 2326, 936, 14949, 1007, 2326, 563, 4467, 14006, 762, 13268, 1645, 11087, 806, 17904, 454, 1692, 798, 649, 4194, 713, 5068, 1966, 286, 1635, 7446, 11003, 762, 2336, 12024, 519, 4783, 540, 1272, 543, 17883, 538, 2470, 267, 24600, 568, 1439, 8393, 9764, 269, 3281, 739, 762, 11183, 568, 835, 540, 519, 1034, 10357, 7888, 3435, 649, 723, 538, 519, 4339, 1996, 5068, 2336, 763, 2949, 1764, 540, 707, 3903, 547, 946, 11003, 762, 11183, 568, 2312, 269, 898, 568, 865, 1454, 811, 982, 3653, 5786, 4805, 269, 3281, 739, 762, 11183, 6971, 3653, 267, 7028, 11003, 619, 267, 10607, 3037, 1072, 267, 543, 568, 606, 7533, 851, 540, 513, 9764, 4346, 269, 0, 763, 1585, 3157, 1031, 585, 16312, 4288, 267, 519, 5137, 540, 3615, 540, 513, 3444, 22891, 2470, 267, 538, 4496, 11529, 267, 971, 607, 1463, 16312, 4288, 267, 9940, 16312, 4288, 267, 8652, 18878, 16312, 4288, 267, 3905, 16312, 4288, 267, 3636, 16312, 4288, 267, 4411, 16312, 4288, 267, 543, 1866, 563, 4134, 10293, 543, 8851, 6388, 454, 4134, 10293, 543, 8851, 5773, 454, 4134, 10293, 543, 8851, 3800, 454, 4134, 10293, 543, 8851, 4238, 0, 2467, 568, 1100, 835, 17046, 1259, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 1717, 267, 513, 1906, 1455, 2081, 547, 1129, 713, 1523, 1331, 1210, 519, 4191, 968, 22022, 2223, 968, 332, 528, 940, 2223, 543, 968, 25988, 1848, 769, 2489, 267, 596, 1131, 946, 627, 31295, 1129, 7959, 1034, 2067, 538, 519, 2796, 540, 707, 6643, 563, 1692, 1677, 6178, 16505, 9724, 769, 1306, 331, 454, 2467, 568, 1100, 835, 17046, 1259, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 1717, 267, 930, 1455, 2409, 1331, 1210, 513, 4999, 540, 519, 4191, 585, 968, 25988, 2223, 968, 22596, 2223, 543, 968, 22022, 1848, 6271, 1935, 1522, 4125, 19142, 519, 2262, 968, 19874, 9724, 892, 3294, 267, 610, 1210, 513, 23972, 547, 5815, 602, 2576, 568, 4189, 563, 10964, 578, 910, 320, 4062, 540, 1957, 910, 5658, 518, 610, 15513, 454, 268, 8571, 513, 4605, 540, 513, 12826, 540, 23611, 454, 268, 17292, 909, 513, 4050, 543, 1957, 454, 268, 3503, 968, 19874, 9724, 892, 693, 519, 1283, 540, 519, 2985, 454, 268, 7201, 17231, 519, 23611, 267, 2328, 968, 332, 20488, 892, 2721, 454, 268, 1692, 547, 1129, 14254, 538, 6789, 299, 286, 1703, 568, 711, 835, 17046, 1259, 547, 1129, 14254, 538, 6789, 299, 269, 1717, 267, 930, 1455, 2081, 547, 1129, 621, 1331, 1210, 519, 4191, 585, 968, 25988, 2223, 968, 22596, 2223, 968, 19874, 9724, 2223, 610, 968, 22022, 6640, 1848, 1411, 666, 849, 1129, 968, 19874, 9724, 892, 676, 9256, 519, 4191, 585, 968, 324, 520, 892, 543, 968, 332, 528, 940, 3034, 21761, 18542, 5999, 454, 1692, 1684, 1411, 6178, 700, 4875, 888, 1103, 1977, 6178, 5678, 630, 3008, 299, 1070, 596, 1131, 1129, 968, 299, 7419, 6224, 892, 676, 1818, 606, 700, 6879, 1901, 609, 707, 2451, 1688, 543, 1287, 26378, 707, 1318, 1688, 593, 707, 2451, 13869, 563, 1692, 1684, 1411, 6178, 20550, 1676, 769, 1306, 331, 888, 763, 6789, 299, 1129, 585, 12129, 568, 513, 4999, 540, 519, 4191, 585, 968, 324, 520, 892, 543, 968, 22596, 1848, 634, 1129, 518, 2306, 606, 4189, 5163, 543, 1287, 6770, 741, 3946, 1927, 607, 952, 547, 2161, 968, 323, 821, 3034, 1432, 24912, 634, 6178, 1280, 16505, 9724, 888, 763, 1129, 585, 14254, 568, 547, 3180, 707, 3946, 856, 538, 4395, 540, 596, 609, 707, 27374, 909, 543, 1118, 513, 5858, 609, 707, 4994, 11263, 543, 555, 29304, 563, 2467, 616, 513, 1906, 1114, 2081, 547, 1129, 968, 19874, 9724, 892, 538, 6789, 299, 269, 2290, 1259, 568, 547, 946, 519, 1129, 585, 968, 332, 528, 940, 892, 543, 1287, 1039, 519, 1129, 585, 968, 25988, 1848, 6271, 1259, 568, 547, 946, 519, 1129, 585, 968, 22596, 892, 543, 1287, 1039, 519, 1129, 585, 968, 332, 528, 940, 1848, 0, 268, 570, 1090, 14208, 454, 763, 4583, 2616, 2218, 538, 3047, 779, 10739, 729, 9505, 1524, 593, 4873, 476, 1724, 543, 4682, 14980, 585, 811, 982, 513, 3923, 267, 6028, 8331, 8030, 26545, 17331, 547, 3313, 1018, 12357, 5470, 3361, 519, 1966, 269, 1547, 4014, 519, 2475, 2230, 8116, 814, 865, 2484, 711, 9307, 519, 3169, 2014, 540, 519, 1966, 267, 789, 7307, 547, 3142, 26931, 1394, 676, 1437, 908, 930, 540, 922, 19307, 8800, 593, 13628, 563, 892, 594, 729, 3833, 14126, 267, 9232, 513, 8331, 10324, 3957, 7338, 2098, 7875, 1075, 1156, 5143, 715, 4506, 320, 570, 1638, 267, 945, 3366, 519, 26931, 1646, 2319, 538, 519, 3406, 585, 519, 2014, 540, 519, 1966, 269, 9232, 1284, 782, 917, 713, 568, 1981, 1512, 982, 1018, 649, 2356, 798, 1547, 7536, 29878, 1076, 7444, 1964, 14975, 922, 2257, 31627, 936, 519, 15964, 543, 5342, 513, 2407, 1062, 2638, 547, 1118, 2386, 3388, 729, 1869, 2324, 269, 3973, 267, 621, 3533, 3576, 922, 1101, 5961, 1310, 513, 1279, 2736, 563, 301, 4506, 320, 570, 1638, 267, 6205, 540, 519, 26931, 6611, 23571, 7816, 2319, 454, 3528, 14349, 267, 519, 16263, 1185, 11329, 922, 7828, 4724, 930, 2864, 8966, 15270, 269, 2290, 540, 519, 1007, 2592, 621, 3576, 2982, 513, 6292, 540, 15270, 7444, 2458, 4575, 883, 1142, 824, 269, 6271, 3239, 2982, 513, 18700, 14925, 609, 2864, 1279, 968, 15767, 6100, 4107, 18700, 15270, 723, 606, 1256, 1297, 540, 968, 15767, 5608, 855, 713, 14925, 1152, 814, 476, 274, 968, 15767, 6100, 630, 303, 27348, 2630, 994, 29878, 1076, 849, 4767, 726, 6979, 5087, 543, 5045, 540, 18347, 267, 2059, 609, 1082, 29822, 14095, 20035, 725, 269, 8331, 814, 2943, 547, 2671, 1022, 6337, 1644, 547, 891, 2665, 563, 892, 594, 993, 4278, 2683, 547, 1294, 26931, 2132, 547, 11287, 519, 7122, 267, 2899, 1586, 13830, 2592, 602, 723, 27086, 543, 6273, 721, 585, 5756, 267, 9232, 8331, 8783, 9291, 20307, 1767, 538, 513, 2046, 5305, 269, 1547, 9232, 901, 568, 513, 4090, 547, 8661, 519, 1967, 540, 513, 1895, 540, 8030, 945, 723, 5963, 6131, 2933, 547, 519, 5692, 269, 8729, 547, 741, 3646, 267, 26931, 786, 3136, 547, 7500, 538, 922, 476, 3953, 526, 1032, 267, 543, 649, 786, 3136, 547, 798, 865, 269, 5170, 547, 1353, 519, 14759, 621, 32625, 968, 563, 7069, 3122, 1190, 17079, 3576, 513, 3923, 547, 4368, 454, 29878, 1076, 267, 519, 1158, 779, 1034, 3532, 2230, 16263, 267, 729, 9250, 883, 10739, 538, 476, 1960, 271, 269, 898, 814, 3144, 5961, 540, 519, 4332, 543, 2669, 540, 9118, 6801, 267, 4362, 1007, 15914, 24262, 269, 28835, 32624, 267, 543, 9477, 1079, 26300, 15362, 3615, 8429, 998, 741, 3859, 1949, 563, 763, 5961, 621, 3576, 723, 1044, 3850, 19936, 547, 5173, 519, 2085, 543, 7269, 540, 519, 7122, 267, 543, 723, 513, 1413, 693, 15270, 602, 4646, 16172, 1310, 519, 8262, 10854, 269, 4586, 3719, 519, 16263, 779, 2780, 1062, 10393, 11074, 2324, 593, 4873, 476, 1724, 269, 901, 2780, 1062, 19632, 538, 519, 476, 2735, 271, 338, 568, 6010, 2989, 547, 519, 2634, 540, 26931, 1107, 3743, 585, 9013, 543, 5464, 782, 519, 3621, 3937, 593, 519, 2616, 2218, 269, 8331, 8030, 723, 14578, 6836, 543, 8959, 547, 1964, 691, 621, 269, 769, 519, 1439, 267, 1310, 4881, 1082, 10368, 4255, 267, 789, 7691, 602, 519, 2780, 7012, 1406, 519, 2014, 540, 519, 1966, 1107, 930, 824, 8800, 3330, 26931, 729, 547, 16620, 585, 519, 16263, 779, 9505, 6658, 563, 763, 26931, 6611, 23571, 729, 9250, 883, 10739, 538, 476, 1960, 271, 454, 2026, 5018, 1657, 267, 649, 1869, 1810, 1406, 917, 585, 2386, 799, 8800, 568, 519, 2014, 269, 19296, 14353, 602, 519, 16263, 779, 1379, 1852, 1770, 630, 15425, 308, 264, 814, 15468, 883, 513, 1533, 540, 14543, 12522, 267, 4929, 519, 2780, 1062, 547, 9505, 1524, 269, 2334, 7193, 308, 4667, 547, 723, 3765, 20412, 730, 519, 6453, 2366, 547, 519, 2780, 267, 610, 5310, 519, 14543, 12522, 4183, 3294, 814, 513, 1966, 563, 22498, 729, 15069, 5423, 585, 2147, 2042, 269, 3962, 4062, 540, 8800, 593, 26931, 814, 513, 3710, 2987, 19307, 5299, 538, 519, 2680, 540, 513, 5821, 269, 1306, 513, 1267, 267, 8030, 6410, 782, 519, 8959, 3334, 547, 32118, 8800, 269, 1656, 1631, 267, 519, 26931, 16263, 568, 1394, 547, 922, 8912, 6296, 693, 476, 1911, 260, 2407, 4398, 563, 892, 594, 1745, 5393, 9599, 543, 17212, 1386, 267, 9232, 1767, 570, 1638, 1310, 11264, 519, 8800, 6467, 269, 9232, 1924, 10583, 547, 723, 1434, 3377, 547, 2671, 9232, 454, 7212, 8331, 814, 6378, 519, 5470, 267, 621, 568, 1869, 513, 1129, 602, 26931, 779, 2085, 814, 6603, 519, 1448, 1141, 621, 2115, 547, 581, 968, 4958, 1600, 6100, 901, 4837, 18387, 1406, 1044, 18175, 24612, 2094, 476, 1001, 280, 267, 543, 930, 540, 519, 8800, 3330, 621, 568, 849, 2507, 1478, 476, 1789, 1296, 2025, 563, 892, 901, 568, 606, 2025, 3684, 267, 543, 621, 779, 899, 621, 779, 10213, 721, 281, 1413, 267, 594, 6557, 3478, 513, 2370, 4587, 269, 9232, 1107, 2687, 547, 2098, 7875, 1075, 1156, 269, 9232, 1717, 267, 972, 568, 1869, 513, 2603, 540, 3621, 2534, 6619, 267, 543, 649, 616, 9599, 827, 602, 3034, 13126, 2433, 2637, 330, 0, 6097, 547, 717, 306, 298, 476, 1708, 271, 6820, 10266, 12039, 7797, 267, 835, 21017, 540, 519, 1158, 779, 2551, 1995, 1928, 1169, 1554, 269, 1403, 596, 723, 4017, 668, 9234, 22468, 267, 596, 949, 5469, 707, 7633, 543, 6091, 1376, 547, 10413, 811, 538, 519, 4411, 4365, 269, 1809, 1946, 1281, 602, 4755, 888, 8139, 875, 4411, 4365, 5540, 707, 1560, 568, 1883, 547, 5883, 707, 4017, 668, 9234, 22468, 2589, 269, 2913, 779, 1265, 856, 1018, 666, 2014, 27506, 13522, 538, 5162, 543, 1018, 12153, 547, 1413, 856, 585, 538, 4411, 4365, 563, 290, 1245, 5210, 666, 1118, 596, 811, 7925, 547, 8290, 543, 2014, 1896, 1072, 2042, 269, 1280, 1383, 267, 3819, 267, 4411, 2011, 666, 8886, 622, 707, 28296, 543, 24395, 622, 7929, 2175, 267, 971, 607, 10447, 563, 1103, 2489, 267, 950, 519, 4365, 568, 3983, 267, 649, 4043, 547, 6108, 811, 942, 16280, 543, 1847, 1447, 269, 901, 3668, 540, 2168, 2534, 666, 1860, 1312, 707, 7099, 543, 2949, 1072, 563, 763, 3668, 540, 7943, 602, 568, 1455, 1282, 21617, 3275, 666, 849, 1118, 596, 811, 13110, 269, 12192, 667, 10638, 568, 849, 5532, 547, 29083, 540, 4887, 543, 4745, 1928, 269, 4014, 649, 666, 1205, 930, 6171, 667, 689, 519, 2732, 267, 938, 1560, 2115, 7943, 547, 3132, 2614, 540, 621, 547, 1832, 519, 7633, 267, 10549, 267, 543, 6091, 2635, 269, 1924, 267, 952, 519, 3141, 3884, 1406, 26124, 267, 596, 949, 1745, 13888, 518, 982, 8912, 563, 7312, 2634, 949, 849, 711, 960, 607, 7561, 538, 4411, 4365, 269, 1879, 707, 1560, 2837, 12772, 2443, 1256, 676, 513, 7008, 540, 5232, 2443, 596, 949, 1995, 14887, 16846, 525, 267, 2790, 20893, 267, 543, 9854, 269, 1452, 666, 849, 581, 4191, 540, 7646, 3834, 1278, 8926, 267, 865, 2628, 2673, 3007, 547, 875, 596, 1745, 267, 2523, 950, 7836, 513, 1279, 942, 856, 538, 519, 4411, 563, 15703, 2188, 666, 1404, 513, 1909, 538, 1951, 1456, 707, 1648, 1282, 21617, 3275, 269, 8899, 4761, 1599, 267, 5230, 6980, 267, 25161, 6197, 267, 543, 9702, 2566, 267, 547, 2012, 513, 1906, 269, 1809, 519, 4365, 2242, 666, 849, 1118, 596, 1745, 811, 29723, 1173, 545, 563, 26422, 2775, 267, 585, 1383, 267, 568, 2629, 585, 15725, 707, 27266, 18819, 269, 769, 21617, 3275, 267, 950, 972, 779, 1447, 7943, 543, 2395, 616, 10156, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 519, 1455, 10167, 540, 519, 1614, 3515, 5627, 519, 31556, 269, 898, 568, 849, 519, 4099, 540, 519, 4931, 15132, 548, 267, 519, 5858, 602, 10596, 998, 782, 1614, 14622, 540, 519, 6906, 269, 901, 568, 2944, 1317, 267, 713, 1373, 606, 1073, 339, 2224, 6906, 267, 519, 15820, 786, 581, 3544, 519, 6906, 267, 1141, 621, 12969, 338, 519, 6905, 2427, 623, 304, 269, 5475, 602, 267, 649, 2721, 519, 13902, 689, 519, 6587, 14584, 547, 519, 1899, 269, 5590, 873, 3160, 543, 4194, 585, 1535, 281, 3767, 11690, 519, 1535, 1871, 883, 835, 540, 519, 15820, 12596, 543, 4194, 585, 586, 281, 4475, 267, 519, 31556, 3444, 693, 630, 1700, 279, 267, 1107, 277, 1040, 634, 1448, 1141, 519, 1079, 31556, 12969, 568, 519, 9647, 665, 10938, 540, 519, 6906, 269, 9502, 540, 834, 26625, 15659, 1899, 281, 634, 5885, 1899, 540, 513, 1978, 10126, 568, 519, 1899, 681, 17526, 269, 24110, 267, 5441, 811, 269, 6333, 513, 6906, 609, 4931, 22487, 543, 1298, 5514, 1547, 901, 2985, 2982, 875, 547, 4020, 630, 9526, 264, 519, 4931, 22487, 540, 513, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 269, 3767, 267, 689, 519, 1448, 267, 589, 543, 9386, 540, 519, 1899, 5084, 267, 2328, 519, 2269, 2507, 2913, 581, 519, 30268, 540, 1547, 1677, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 267, 972, 568, 1100, 1880, 4542, 855, 649, 723, 547, 1205, 519, 10974, 540, 519, 14622, 540, 519, 6906, 269, 1809, 609, 602, 856, 540, 519, 1259, 267, 649, 4312, 2186, 540, 6825, 909, 3388, 602, 649, 666, 8263, 267, 2016, 602, 713, 568, 606, 9647, 665, 10938, 543, 513, 4099, 734, 4352, 972, 616, 824, 1919, 267, 824, 3601, 540, 2523, 1298, 28281, 602, 649, 917, 269, 1215, 547, 13363, 2659, 2657, 689, 13044, 268, 866, 286, 25705, 267, 4144, 6782, 1023, 267, 27449, 543, 23155, 20514, 267, 1133, 643, 269, 634, 2180, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 538, 513, 6906, 269, 476, 274, 269, 769, 713, 3381, 594, 1397, 596, 875, 547, 798, 1175, 602, 269, 3973, 519, 12730, 2073, 616, 2147, 676, 2427, 268, 4120, 20933, 16726, 269, 634, 4931, 22487, 540, 513, 6906, 568, 519, 1448, 1141, 519, 13902, 20312, 26662, 540, 519, 5011, 12969, 269, 20472, 519, 9647, 665, 10938, 540, 6906, 670, 6195, 269, 20472, 519, 15820, 689, 519, 1073, 339, 2224, 14584, 1175, 607, 596, 7363, 1131, 798, 269, 1677, 2721, 519, 13902, 610, 519, 15820, 267, 946, 14584, 595, 607, 519, 4099, 543, 8953, 3160, 547, 519, 2427, 7460, 269, 898, 568, 519, 8086, 540, 519, 9647, 665, 10938, 540, 519, 6906, 827, 519, 4931, 22487, 269, 898, 568, 4092, 693, 519, 1448, 1141, 519, 6906, 781, 1614, 31556, 12969, 1572, 513, 1448, 540, 598, 2017, 6275, 1547, 634, 1866, 616, 519, 10996, 518, 267, 519, 4931, 22487, 543, 519, 1298, 5514, 269, 634, 1899, 10126, 2115, 547, 12969, 1448, 595, 543, 1106, 513, 1318, 5086, 630, 3445, 5232, 264, 609, 519, 834, 338, 1575, 15659, 1899, 257, 540, 519, 2427, 9474, 269, 476, 272, 269, 476, 276, 269, 275, 13106, 665, 10938, 3281, 817, 14716, 1315, 1073, 339, 2224, 6906, 1607, 568, 513, 22315, 4070, 540, 519, 1614, 31556, 540, 606, 17062, 1073, 339, 2224, 6906, 269, 3973, 267, 979, 547, 12164, 22552, 308, 6311, 593, 519, 1907, 8663, 543, 2824, 3131, 12993, 7412, 689, 519, 1592, 269, 630, 2791, 949, 991, 547, 8831, 519, 15820, 3515, 865, 789, 12969, 952, 519, 9647, 665, 10938, 568, 3544, 519, 6906, 264, 8838, 1308, 5153, 476, 1556, 269, 8571, 12969, 532, 9095, 338, 689, 645, 543, 667, 267, 693, 674, 269, 15012, 18435, 269, 15531, 621, 593, 513, 3113, 3340, 12719, 519, 19527, 540, 519, 6906, 5011, 269, 540, 16855, 297, 6185, 269, 5153, 476, 274, 281, 2422, 547, 4020, 519, 1899, 998, 595, 543, 13902, 547, 9474, 269, 1215, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 269, 10417, 7778, 269, 14597, 649, 723, 513, 6906, 13235, 543, 649, 991, 547, 1265, 519, 9647, 665, 10938, 540, 621, 269, 1215, 1677, 20472, 634, 13106, 665, 10938, 269, 3414, 645, 543, 10126, 8028, 6906, 609, 22315, 543, 2786, 8354, 610, 14610, 27449, 543, 23155, 267, 256, 2986, 623, 304, 305, 543, 519, 610, 6255, 665, 10938, 540, 13235, 2059, 602, 1899, 1572, 513, 1448, 540, 598, 2017, 6275, 602, 693, 256, 20472, 25586, 1899, 1063, 519, 1079, 9647, 665, 10938, 1315, 4931, 22487, 540, 713, 6906, 1318, 936, 1934, 22315, 4070, 1073, 339, 2224, 269, 2334, 12969, 693, 1448, 1627, 606, 10996, 518, 1210, 513, 22315, 543, 2786, 8354, 3769, 9647, 665, 10938, 568, 3544, 519, 6906, 568, 269, 5403, 875, 547, 4020, 9647, 665, 10938, 538, 713, 3381, 594, 1397, 596, 875, 547, 4020, 519, 1298, 5514, 543, 12398, 922, 9647, 665, 10938, 744, 269, 679, 1862, 815, 476, 277, 4699, 267, 7460, 815, 476, 275, 4699, 543, 8028, 14622, 540, 13235, 269, 590, 1938, 9474, 543, 8028, 815, 476, 276, 269, 276, 4699, 543, 12398, 922, 9647, 665, 10938, 744, 269, 774, 679, 535, 328, 519, 29755, 540, 6906, 13235, 519, 1614, 9112, 3515, 799, 568, 519, 2560, 267, 769, 24751, 1472, 875, 4020, 256, 21121, 827, 519, 4931, 22487, 543, 519, 1298, 5514, 9791, 24897, 540, 12280, 18438, 538, 8837, 476, 1015, 606, 15820, 513, 269, 476, 274, 281, 2422, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 13902, 610, 15820, 256, 25705, 267, 4144, 6782, 1023, 267, 27449, 543, 23155, 3515, 267, 12345, 267, 12415, 14742, 256, 21121, 1299, 513, 1842, 6902, 521, 1614, 31556, 798, 538, 1249, 12969, 693, 513, 1448, 1141, 519, 9647, 665, 10938, 1862, 7412, 596, 9112, 1657, 3568, 606, 15820, 540, 513, 6906, 568, 519, 10167, 540, 519, 1614, 3515, 519, 269, 2290, 1448, 540, 598, 2017, 6275, 568, 519, 1448, 1141, 782, 1614, 31556, 540, 519, 5858, 1249, 12969, 693, 1627, 269, 1280, 519, 2016, 6906, 2630, 267, 649, 666, 4020, 519, 10996, 518, 267, 519, 15820, 3515, 865, 789, 12969, 519, 1862, 12443, 326, 976, 267, 20472, 532, 513, 13902, 693, 513, 2582, 1448, 594, 4941, 547, 1397, 602, 666, 1862, 623, 336, 337, 1315, 13235, 543, 519, 1298, 5514, 267, 621, 568, 849, 519, 4099, 543, 8953, 3160, 547, 519, 6587, 9474, 1862, 16294, 543, 4020, 519, 9647, 665, 10938, 540, 519, 6906, 3738, 8838, 1308, 1900, 476, 1556, 4941, 547, 1397, 602, 596, 666, 4020, 1862, 901, 6906, 1318, 936, 1934, 513, 2582, 1448, 3738, 519, 9647, 665, 10938, 540, 513, 568, 1862, 595, 332, 267, 7460, 815, 476, 275, 4699, 543, 8028, 540, 513, 6906, 1315, 4931, 22487, 540, 6906, 256, 769, 22487, 568, 8449, 2484, 2476, 689, 519, 14584, 540, 519, 6906, 519, 12730, 267, 616, 2147, 2427, 268, 4120, 20933, 269, 19247, 543, 3732, 1966, 593, 875, 547, 4020, 519, 9647, 665, 10938, 8813, 593, 519, 16538, 540, 519, 6906, 8838, 1308, 1862, 1656, 568, 13902, 547, 1448, 645, 543, 623, 267, 2721, 9095, 338, 593, 519, 1907, 8663, 543, 2824, 13902, 689, 269, 8525, 2982, 875, 547, 1265, 18087, 689, 1912, 1294, 9647, 665, 10938, 540, 519, 3515, 1862, 634, 3791, 2427, 540, 519, 6906, 9095, 338, 602, 12969, 693, 1448, 1627, 585, 1073, 339, 2224, 12730, 519, 7460, 1862, 8672, 1627, 2985, 2982, 875, 547, 4020, 630, 2721, 3738, 519, 9647, 665, 10938, 1577, 1412, 338, 1628, 519, 9647, 665, 10938, 519, 1862, 476, 272, 281, 2422, 547, 1747, 513, 1448, 1141, 782, 1614, 31556, 798, 1249, 1862, 12280, 18438, 538, 8837, 476, 1015, 21437, 519, 9647, 665, 10938, 540, 513, 6906, 15234, 543, 5215, 540, 824, 2979, 1983, 538, 476, 1015, 256, 9737, 543, 543, 513, 28070, 4070, 3767, 267, 1577, 721, 1294, 875, 547, 5581, 4020, 269, 901, 519, 9647, 665, 10938, 575, 4944, 1287, 21437, 513, 1899, 799, 10596, 998, 513, 14584, 540, 519, 6906, 8838, 1308, 1862, 5153, 476, 273, 281, 2422, 547, 1747, 513, 1448, 593, 513, 3113, 3340, 12719, 519, 19527, 519, 269, 8838, 1308, 1900, 476, 1556, 1448, 1627, 789, 12969, 952, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 13902, 540, 256, 1772, 519, 4099, 540, 519, 4931, 15132, 548, 267, 519, 4931, 22487, 543, 519, 1298, 5514, 267, 621, 568, 849, 4099, 256, 7412, 689, 519, 14584, 540, 519, 6906, 1299, 513, 1842, 6902, 521, 1614, 5086, 20312, 26662, 12969, 693, 513, 2582, 907, 15234, 543, 5215, 540, 824, 2979, 1983, 543, 519, 1298, 5514, 8838, 1308, 1900, 476, 1556, 547, 12260, 782, 476, 276, 267, 4968, 7044, 267, 707, 1862, 3131, 12993, 20312, 26662, 540, 519, 6906, 11313, 521, 1614, 31556, 540, 519, 13235, 6906, 538, 1312, 8846, 1422, 3667, 29314, 1862, 2986, 1022, 6906, 267, 543, 562, 289, 4596, 519, 2560, 267, 769, 24751, 1472, 875, 674, 1460, 256, 634, 9647, 665, 10938, 540, 513, 6906, 543, 623, 267, 2721, 9095, 338, 593, 519, 3791, 2427, 875, 547, 4020, 9647, 665, 10938, 519, 4931, 15132, 548, 267, 519, 540, 269, 19449, 3380, 543, 12443, 326, 976, 267, 20472, 532, 513, 13902, 693, 513, 2582, 1448, 22315, 4070, 1315, 1073, 339, 2224, 23511, 634, 1614, 9112, 3515, 799, 568, 519, 9647, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 2985, 875, 1862, 1315, 4931, 22487, 540, 713, 6906, 1318, 936, 1934, 693, 519, 1448, 1141, 519, 543, 269, 1107, 5403, 12445, 1294, 519, 10167, 540, 476, 274, 610, 811, 3515, 267, 12345, 267, 12415, 14742, 269, 634, 9386, 540, 519, 6906, 11313, 521, 1614, 5011, 602, 21437, 519, 9647, 665, 10938, 568, 835, 269, 634, 15820, 3515, 865, 789, 12969, 952, 519, 9647, 665, 10938, 540, 1022, 6906, 267, 4945, 1934, 4020, 9647, 665, 10938, 540, 31556, 29755, 1318, 543, 1073, 339, 2224, 12730, 519, 1073, 339, 2224, 14584, 1175, 607, 596, 7363, 1131, 798, 9647, 665, 10938, 630, 13042, 607, 23511, 2986, 476, 274, 610, 811, 3515, 267, 12345, 267, 12415, 610, 14742, 2798, 1063, 519, 540, 269, 634, 4931, 15132, 548, 267, 519, 9647, 665, 10938, 568, 3544, 519, 6906, 1131, 798, 630, 1107, 273, 1107, 273, 1862, 1323, 5007, 1448, 519, 1298, 5514, 267, 621, 1797, 649, 1412, 516, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 13902, 689, 1862, 13106, 665, 10938, 22315, 4070, 1315, 1073, 339, 2224, 6906, 1412, 1467, 1412, 568, 522, 2507, 8382, 281, 2243, 1862, 2913, 721, 1294, 875, 547, 4020, 519, 9647, 665, 10938, 568, 1175, 835, 1448, 540, 598, 2017, 6275, 538, 6906, 269, 1323, 5007, 1448, 1412, 568, 522, 2507, 8382, 281, 476, 274, 2243, 513, 1107, 12445, 256, 5153, 476, 272, 281, 713, 2985, 2982, 875, 547, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 568, 519, 9647, 665, 10938, 568, 4092, 606, 269, 11534, 5242, 5011, 9474, 543, 8028, 815, 476, 276, 269, 276, 4699, 543, 12398, 922, 9647, 665, 10938, 476, 4020, 519, 9647, 665, 10938, 8813, 593, 519, 2427, 1862, 16816, 6421, 798, 538, 1249, 12969, 693, 1448, 1627, 596, 666, 2141, 4020, 602, 267, 12345, 12415, 29755, 1294, 9647, 665, 10938, 540, 513, 5858, 799, 4931, 30533, 525, 519, 6906, 827, 519, 4931, 22487, 519, 256, 645, 543, 667, 267, 693, 674, 269, 15012, 18435, 1063, 543, 543, 4020, 922, 9647, 665, 10938, 744, 269, 679, 24222, 1577, 721, 1294, 875, 547, 4020, 519, 9647, 665, 10938, 568, 8449, 2484, 2476, 689, 519, 6906, 568, 29755, 6258, 811, 3767, 596, 666, 1294, 519, 10167, 540, 519, 6906, 519, 256, 8422, 3515, 5627, 519, 31556, 3381, 594, 1397, 596, 875, 547, 5581, 543, 519, 1862, 1656, 649, 991, 547, 8831, 519, 15820, 689, 519, 14584, 540, 519, 1614, 31556, 540, 519, 31556, 513, 1862, 3414, 645, 543, 10126, 25553, 6902, 1287, 1210, 1448, 595, 543, 10126, 8028, 267, 670, 540, 1862, 2986, 513, 6906, 2979, 1702, 609, 1863, 2055, 538, 476, 4020, 519, 9647, 665, 10938, 540, 513, 6906, 22315, 256, 21540, 618, 689, 519, 6906, 543, 568, 13902, 547, 9474, 24110, 267, 5441, 13335, 267, 5808, 649, 616, 267, 6258, 23511, 1323, 10996, 518, 1210, 513, 22315, 543, 2786, 8354, 610, 14610, 547, 7460, 4171, 5011, 616, 9474, 476, 277, 24222, 5441, 13335, 267, 5808, 649, 616, 267, 6258, 811, 1448, 540, 598, 2017, 6275, 568, 519, 2560, 267, 1472, 1862, 1230, 13935, 606, 15820, 568, 513, 1899, 799, 10596, 998, 513, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 527, 1125, 11832, 1072, 543, 3106, 693, 1169, 3942, 269, 901, 2882, 2502, 538, 12001, 8989, 267, 9591, 12352, 609, 2199, 2950, 267, 10115, 538, 4264, 4066, 267, 543, 5807, 513, 2528, 540, 6024, 6454, 780, 6962, 1384, 1607, 1576, 1770, 814, 8268, 519, 1523, 540, 17163, 9882, 1369, 519, 2796, 540, 989, 6804, 6278, 8258, 2504, 269, 1284, 723, 8947, 1585, 10898, 2404, 609, 713, 2872, 543, 5941, 4052, 2994, 585, 10893, 11832, 4598, 269, 1306, 2518, 6990, 3136, 547, 11457, 267, 621, 3788, 2629, 585, 3906, 547, 1902, 538, 3102, 17163, 9882, 3292, 602, 2149, 1312, 519, 1072, 543, 8171, 540, 5520, 543, 519, 6940, 540, 741, 4213, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 770, 519, 3308, 19259, 267, 519, 960, 26206, 12349, 3384, 606, 989, 6804, 5872, 8258, 568, 513, 21981, 547, 519, 7029, 540, 4739, 8243, 839, 269, 1452, 4487, 29048, 267, 3335, 609, 5481, 540, 1995, 267, 2285, 4332, 547, 519, 5075, 540, 12808, 2648, 269, 634, 6111, 609, 799, 789, 3715, 1142, 4224, 267, 519, 5876, 538, 9380, 532, 1950, 1344, 267, 543, 519, 2126, 12842, 10678, 909, 18953, 782, 1039, 547, 519, 2504, 540, 513, 960, 540, 1148, 602, 4422, 3564, 942, 269, 634, 2511, 540, 606, 989, 6804, 9525, 8258, 568, 606, 1148, 6278, 8258, 2186, 538, 3294, 269, 3962, 26048, 267, 1169, 3693, 267, 543, 519, 6297, 1544, 540, 7725, 2911, 9424, 7282, 519, 11428, 543, 7029, 602, 519, 8258, 17158, 338, 269, 769, 519, 1158, 540, 989, 6804, 5898, 543, 609, 9227, 2648, 267, 519, 6240, 540, 606, 12808, 3398, 1327, 919, 922, 16315, 538, 519, 2186, 540, 513, 4241, 6221, 540, 10475, 14446, 1107, 519, 989, 6804, 5872, 8258, 269, 14958, 539, 609, 6297, 6111, 543, 606, 3573, 1620, 540, 519, 4075, 340, 13920, 3297, 12808, 18787, 267, 891, 14034, 1439, 909, 581, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30999, 1575, 1049, 30719, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11633, 2657, 1299, 8881, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7025, 1143, 543, 8278, 665, 761, 6291, 538, 476, 2641, 560, 31588, 1722, 4436, 9085, 692, 16215, 476, 276, 281, 634, 28249, 540, 11272, 30863, 543, 7025, 3117, 4109, 1145, 538, 12634, 4436, 9085, 692, 7072, 692, 1103, 938, 3105, 4559, 267, 649, 8268, 1585, 18125, 540, 2825, 1143, 543, 3235, 665, 761, 6291, 1369, 519, 2796, 540, 476, 2641, 560, 10601, 4436, 3332, 269, 769, 713, 1770, 267, 649, 4927, 5490, 4514, 883, 875, 891, 4798, 8915, 2933, 998, 519, 7828, 540, 6283, 4066, 267, 4481, 3167, 6472, 630, 14110, 338, 1040, 1284, 3513, 4983, 875, 4207, 4436, 4589, 6451, 12601, 338, 883, 741, 6386, 267, 7551, 5466, 4145, 827, 2916, 1689, 267, 6940, 267, 543, 10688, 269, 901, 1770, 786, 849, 2263, 519, 6626, 2686, 6286, 540, 971, 6639, 10124, 543, 2708, 2436, 789, 2099, 9758, 3356, 2509, 19086, 8103, 781, 1764, 593, 3047, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 11272, 30863, 543, 4256, 9622, 10885, 538, 15019, 9177, 692, 2414, 1174, 519, 4644, 540, 12601, 338, 538, 2413, 4436, 3332, 267, 835, 1590, 1101, 9787, 741, 3140, 1646, 269, 4014, 1419, 2404, 609, 2487, 7760, 538, 6007, 2029, 543, 7791, 1648, 2959, 267, 2038, 23200, 540, 3167, 26873, 4266, 1394, 547, 519, 3735, 476, 866, 628, 2540, 269, 1717, 267, 1813, 547, 1896, 2188, 910, 1519, 1164, 2504, 3790, 267, 13385, 5989, 267, 543, 3908, 2773, 7207, 3379, 547, 4835, 13674, 9817, 910, 12601, 338, 8959, 547, 2744, 7839, 10343, 2394, 519, 2490, 540, 519, 476, 2641, 560, 2540, 780, 1607, 32134, 666, 581, 11911, 14356, 547, 3395, 4656, 540, 27643, 2916, 1689, 543, 922, 21472, 4539, 269, 1306, 1857, 6161, 15841, 267, 6608, 5001, 3459, 7598, 4507, 6322, 693, 4227, 8511, 3154, 5434, 267, 27513, 2590, 1719, 538, 15777, 8925, 899, 3167, 6472, 269, 1452, 10593, 538, 6848, 2418, 543, 14422, 9788, 519, 24536, 585, 513, 811, 32615, 5304, 267, 22338, 519, 1259, 585, 513, 1007, 5951, 540, 5339, 1568, 10023, 12601, 338, 30326, 780, 4089, 476, 273, 281, 28628, 1436, 543, 4706, 21931, 20480, 692, 3080, 8037, 7678, 538, 4207, 4436, 3332, 3322, 10316, 1944, 2757, 8093, 4492, 14617, 6472, 609, 3167, 5397, 10177, 1231, 269, 1635, 9256, 2609, 689, 1312, 26336, 267, 891, 29528, 2709, 3988, 606, 4316, 547, 4497, 609, 3197, 21679, 609, 2152, 4478, 6940, 267, 5539, 267, 543, 3961, 5250, 269, 5047, 267, 713, 12760, 5713, 607, 513, 14165, 673, 8115, 1063, 2250, 543, 1459, 267, 3850, 5830, 547, 23827, 622, 519, 9371, 540, 22713, 1247, 8195, 19424, 532, 2009, 11444, 4464, 780, 288, 6305, 1383, 540, 713, 7613, 5526, 538, 808, 10154, 8210, 5155, 20198, 781, 3209, 2983, 1156, 267, 717, 16636, 267, 6008, 18255, 630, 7883, 267, 654, 550, 267, 5776, 1070, 1141, 519, 16502, 11479, 513, 10316, 6174, 607, 1352, 4044, 919, 1200, 7294, 2078, 609, 1686, 267, 3965, 267, 543, 2123, 7004, 269, 3414, 713, 5104, 868, 777, 3789, 267, 8210, 5155, 20198, 12651, 2055, 827, 519, 6708, 547, 799, 2043, 666, 31363, 741, 635, 13109, 538, 2825, 12159, 609, 17050, 585, 513, 22928, 2104, 780, 4089, 476, 274, 281, 16186, 17520, 543, 519, 16723, 570, 3326, 540, 17290, 22994, 1006, 692, 5194, 20443, 6249, 538, 476, 2641, 560, 10601, 4436, 3332, 5473, 12601, 338, 7740, 1472, 1018, 814, 2097, 547, 581, 1634, 607, 834, 9792, 4160, 9899, 519, 4250, 602, 513, 6174, 781, 6007, 786, 632, 10968, 1354, 8757, 922, 10278, 267, 6028, 519, 9920, 18843, 539, 269, 2755, 8441, 538, 6007, 2029, 3136, 547, 13468, 891, 4145, 267, 1082, 4207, 4589, 946, 713, 31536, 542, 607, 513, 1797, 540, 3695, 16650, 16839, 5185, 676, 741, 3197, 950, 21947, 609, 7687, 13684, 2390, 873, 676, 5007, 4229, 780, 1103, 23715, 560, 514, 2776, 12685, 340, 29967, 781, 3209, 715, 778, 2201, 330, 14900, 630, 2414, 2201, 330, 14900, 1070, 519, 1292, 1915, 2833, 2039, 4160, 1247, 10707, 2066, 18940, 538, 606, 3167, 4342, 704, 7079, 269, 10801, 1200, 3460, 267, 1352, 9356, 593, 519, 13113, 2470, 540, 2200, 543, 1480, 6228, 3294, 267, 5373, 19320, 1063, 519, 10148, 5116, 2390, 1200, 7154, 540, 3560, 543, 519, 17149, 25874, 540, 3047, 781, 14425, 269, 3414, 713, 14336, 5566, 5943, 267, 2776, 12685, 340, 29967, 19156, 519, 2956, 540, 14237, 11009, 543, 21548, 538, 3210, 547, 2825, 2591, 780, 4089, 476, 275, 281, 8889, 9024, 328, 2510, 543, 5398, 32185, 692, 2026, 5018, 4505, 267, 2229, 9541, 1404, 513, 2629, 1909, 538, 5009, 12601, 10073, 543, 5807, 2318, 8456, 4724, 4264, 6283, 269, 1280, 3236, 267, 519, 5177, 27565, 24273, 5063, 26823, 3022, 11278, 4335, 2929, 18121, 277, 3583, 2929, 264, 4724, 18546, 2305, 3646, 267, 15202, 513, 7029, 547, 1232, 12365, 1944, 519, 4182, 781, 3991, 7781, 18239, 269, 6270, 7575, 711, 1152, 24772, 7082, 6015, 538, 6932, 4066, 855, 849, 1683, 15417, 2666, 585, 5339, 29293, 540, 1761, 2640, 543, 19363, 2404, 609, 1804, 8397, 13289, 2476, 689, 8093, 10173, 780, 23389, 2278, 594, 2993, 10937, 18858, 13568, 578, 22851, 2047, 609, 891, 3609, 9840, 538, 1010, 960, 661, 529, 307, 879, 630, 296, 576, 774, 1177, 1070, 13296, 646, 31886, 1283, 16365, 4485, 547, 7598, 1689, 1510, 6190, 7156, 585, 2199, 5380, 543, 2115, 269, 1635, 6313, 519, 13253, 1063, 21438, 3375, 6194, 3157, 543, 29065, 7341, 267, 18858, 13568, 578, 7125, 3007, 547, 519, 10848, 7915, 538, 13321, 7493, 16431, 883, 15889, 4641, 780, 6962, 692, 9961, 713, 1770, 267, 649, 723, 8947, 1585, 3344, 540, 2825, 1143, 543, 3235, 665, 761, 6291, 607, 4843, 998, 519, 7828, 540, 3167, 6472, 538, 476, 2641, 560, 10601, 4436, 3332, 269, 3245, 23827, 908, 519, 5626, 5222, 540, 3908, 10688, 547, 29506, 1944, 3609, 18747, 543, 741, 29298, 267, 891, 5931, 4196, 607, 4105, 7418, 547, 5571, 27964, 4478, 6940, 267, 5539, 267, 543, 3356, 269, 11086, 267, 676, 2502, 7184, 609, 891, 4798, 267, 4207, 4589, 4161, 3988, 547, 1589, 9691, 827, 741, 1378, 5107, 538, 5935, 519, 18330, 540, 1480, 5872, 609, 519, 2067, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25821, 6472, 267, 610, 12601, 338, 267, 723, 1279, 1044, 513, 4183, 540, 1414, 30235, 9413, 543, 1523, 1286, 1163, 657, 267, 609, 741, 31933, 13777, 22618, 1560, 16115, 543, 627, 597, 2590, 16546, 602, 1745, 1360, 476, 2641, 560, 2540, 563, 3719, 621, 4959, 519, 476, 2641, 560, 2540, 267, 543, 585, 1346, 540, 721, 945, 3314, 519, 2063, 5756, 540, 519, 476, 5002, 271, 338, 267, 519, 2104, 568, 1934, 563, 20812, 1962, 1749, 723, 4847, 5179, 1235, 547, 5963, 9784, 12601, 338, 267, 607, 8380, 606, 3167, 5179, 883, 513, 1286, 609, 513, 13674, 2599, 607, 1134, 2636, 519, 1655, 540, 1312, 10600, 563, 309, 12317, 2873, 616, 1100, 3476, 3908, 547, 513, 2039, 540, 476, 1789, 268, 2412, 5195, 593, 513, 2582, 5279, 267, 1247, 4492, 4346, 896, 4620, 1503, 610, 17088, 6117, 568, 5818, 539, 676, 519, 23023, 540, 15452, 1648, 1282, 29584, 563, 2690, 2899, 267, 621, 779, 606, 13476, 7874, 5647, 602, 568, 2965, 6225, 585, 10256, 1932, 1107, 865, 786, 621, 1291, 547, 513, 1007, 10006, 538, 22696, 6137, 6517, 888, 763, 2626, 949, 1360, 1134, 581, 9811, 267, 3226, 607, 519, 8644, 667, 2114, 723, 1631, 9307, 3368, 513, 5479, 6550, 685, 4502, 540, 5092, 883, 12601, 338, 543, 1644, 2029, 563, 8170, 713, 267, 11278, 1911, 2929, 568, 1274, 5658, 539, 585, 1382, 543, 546, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5319, 1444, 16117, 543, 8278, 665, 761, 6291, 538, 476, 2641, 560, 31588, 1722, 4436, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5125, 1315, 476, 2641, 560, 11416, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 681, 1901, 9177, 543, 7861, 574, 2349, 5446, 692, 5331, 713, 9183, 281, 8861, 6499, 547, 979, 547, 513, 5428, 855, 1352, 781, 11688, 26938, 1317, 1352, 4862, 930, 32422, 827, 519, 3984, 1373, 1611, 547, 6690, 945, 20549, 1010, 8441, 269, 1809, 8861, 2731, 15055, 6105, 543, 16976, 547, 979, 19037, 269, 2311, 519, 1439, 540, 519, 3781, 267, 1310, 2348, 15189, 1896, 2053, 267, 8861, 6368, 3081, 9811, 547, 2469, 1753, 609, 519, 3984, 269, 1717, 267, 2899, 789, 12446, 693, 1010, 1747, 267, 646, 4229, 5128, 593, 1200, 269, 4634, 1498, 8861, 7620, 8815, 547, 2097, 936, 267, 1281, 621, 1611, 602, 1018, 5949, 2663, 729, 15502, 286, 25999, 10691, 256, 3143, 2339, 1018, 3510, 2576, 9060, 2933, 538, 267, 7142, 4638, 3346, 568, 2760, 11807, 269, 10251, 267, 2486, 1419, 1025, 1868, 9601, 899, 8861, 3079, 540, 8066, 10419, 21116, 18177, 269, 901, 7613, 568, 1634, 607, 22149, 2528, 543, 6408, 1025, 5446, 269, 2913, 781, 2263, 891, 2035, 2417, 780, 305, 1901, 9177, 4016, 547, 606, 1604, 1141, 6848, 8456, 3339, 1125, 267, 20496, 267, 610, 1256, 24735, 1125, 4638, 5208, 543, 6057, 269, 901, 666, 8915, 998, 24668, 267, 8292, 267, 2923, 6835, 267, 4031, 267, 543, 4507, 602, 2303, 621, 781, 513, 6408, 779, 13337, 950, 789, 1995, 4638, 14213, 269, 1280, 3236, 267, 1004, 1522, 2161, 1919, 899 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8733, 3666, 6498, 540, 3110, 2787, 1107, 4070, 540, 9897, 998, 519, 7733, 5012, 547, 6498, 540, 3110, 2787, 540, 2831, 267, 5017, 543, 824, 2249, 563, 1432, 1281, 8733, 19261, 1611, 4688, 547, 2061, 519, 22930, 540, 1271, 2067, 2200, 547, 519, 3954, 24851, 540, 7733, 543, 19856, 656, 5599, 547, 2012, 513, 1547, 1548, 616, 519, 3123, 585, 22930, 540, 7320, 666, 1419, 1291, 547, 8733, 19261, 519, 4914, 2249, 949, 16937, 519, 1604, 540, 5065, 2249, 267, 4657, 1547, 1323, 8733, 19261, 568, 519, 3597, 540, 938, 1699, 30481, 1966, 519, 796, 4818, 1695, 26572, 19069, 538, 2681, 5964, 5161, 540, 9900, 12902, 620, 18090, 512, 1495, 571, 803, 27595, 267, 27726, 267, 29990, 8916, 267, 543, 1547, 8074, 593, 8733, 19261, 543, 741, 4539, 22930, 540, 17645, 4494, 543, 3679, 4764, 8781, 540, 1804, 7733, 543, 5260, 20087, 338, 267, 15191, 14742, 849, 3565, 1547, 634, 2243, 1957, 786, 1331, 1871, 1759, 2243, 4433, 264, 547, 519, 6708, 540, 476, 274, 268, 276, 7436, 22930, 540, 7733, 543, 8733, 19261, 476, 10436, 563, 1432, 616, 519, 3123, 540, 8733, 19261, 22930, 540, 7733, 543, 8733, 19261, 2307, 707, 3158, 2671, 547, 281, 11356, 2376, 593, 812, 543, 8733, 19261, 269, 22339, 1047, 906, 281, 22930, 543, 5726, 540, 21944, 7733, 936, 519, 1296, 267, 519, 1858, 896, 4104, 3382, 814, 8519, 20406, 267, 607, 7733, 723, 1044, 23498, 585, 6683, 267, 2872, 267, 8027, 267, 543, 824, 1646, 2238, 899, 519, 4070, 540, 9897, 267, 7841, 1811, 267, 543, 32394, 2371, 269, 634, 556, 16396, 540, 22600, 549, 1407, 5065, 547, 519, 556, 16396, 4087, 568, 1898, 547, 2057, 606, 8733, 19261, 1382, 2982, 602, 538, 519, 11808, 3646, 5342, 538, 521, 686, 561, 17249, 267, 5111, 476, 1220, 268, 13136, 3873, 856, 540, 476, 272, 267, 1822, 268, 272, 267, 1220, 3873, 723, 4951, 3811, 11808, 563, 20332, 2200, 281, 22930, 4128, 267, 2010, 543, 741, 5726, 855, 538, 5599, 543, 936, 7721, 680, 334, 2787, 540, 16025, 267, 519, 8733, 3441, 547, 7733, 568, 1547, 901, 4199, 2965, 5921, 547, 1711, 4656, 593, 22930, 543, 5726, 540, 7733, 553, 649, 991, 938, 2104, 5481, 1058, 849, 2972, 519, 2648, 540, 2470, 267, 8117, 676, 12159, 540, 4104, 2073, 6518, 5932, 606, 8733, 19261, 269, 17461, 519, 22930, 540, 7733, 267, 799, 568, 3622, 1634, 607, 17717, 568, 5941, 609, 519, 9837, 540, 4466, 3435, 547, 621, 519, 2557, 693, 799, 621, 568, 2921, 1747, 568, 24034, 543, 2221, 621, 814, 1831, 513, 2518, 6433, 269, 26954, 19261, 666, 723, 513, 3978, 8801, 1198, 593, 938, 1272, 517, 3618, 621, 666, 581, 15286, 676, 5466, 2152, 899, 519, 560, 24780, 3123, 540, 2916, 1689, 267, 2061, 8733, 7963, 538, 519, 1815, 4722, 543, 676, 519, 9542, 540, 782, 3800, 799, 2061, 4028, 30873, 1689, 269, 0, 1692, 547, 2328, 513, 2978, 1867, 454, 21980, 3894, 585, 1603, 606, 16643, 2511, 2978, 1867, 1382, 4930, 538, 6530, 1246, 513, 1808, 3898, 607, 1305, 8521, 676, 519, 7819, 5626, 269, 13832, 585, 513, 6323, 2978, 5359, 952, 596, 616, 1210, 513, 2262, 16267, 585, 707, 2978, 1867, 519, 1867, 1354, 596, 666, 2328, 513, 5758, 540, 621, 269, 6997, 1867, 2474, 543, 513, 3732, 2978, 1867, 676, 10027, 2643, 28219, 718, 3744, 917, 602, 2978, 5359, 616, 513, 1360, 1271, 851, 540, 1169, 4603, 519, 3483, 540, 606, 269, 1684, 596, 4755, 547, 581, 10010, 609, 1603, 707, 2978, 1867, 649, 723, 519, 1655, 5830, 945, 666, 2328, 513, 1434, 1650, 1759, 593, 707, 4170, 543, 616, 2386, 547, 798, 713, 269, 634, 30304, 540, 1603, 513, 1434, 2978, 1867, 585, 2606, 7350, 6030, 32531, 573, 522, 383, 499, 18484, 24274, 1496, 16942, 6870, 2639, 1103, 713, 2376, 596, 949, 1224, 827, 2257, 2978, 1867, 1246, 891, 2241, 3268, 610, 1175, 1931, 513, 1867, 1934, 713, 3028, 2337, 609, 1603, 269, 901, 568, 513, 2489, 3391, 585, 1603, 1034, 2596, 7350, 8047, 5359, 519, 3898, 949, 4268, 4470, 593, 519, 1362, 543, 519, 4116, 865, 621, 568, 1271, 547, 269, 26488, 585, 1603, 513, 6323, 2978, 1867, 519, 3044, 4948, 2978, 1867, 5161, 540, 519, 1739, 6810, 4063, 602, 782, 2978, 5359, 949, 711, 723, 1169, 3296, 269, 4400, 7779, 2978, 1867, 1603, 3028, 568, 2919, 676, 938, 2754, 547, 1683, 1053, 609, 2688, 2978, 5359, 2854, 689, 15072, 1205, 3318, 2978, 1867, 948, 563, 9288, 2875, 1603, 3391, 2978, 5359, 910, 476, 276, 552, 2978, 1867, 2609, 513, 1867, 568, 2813, 1210, 891, 4162, 1582, 23418, 15659, 3561, 269, 11261, 281, 2012, 281, 1362, 281, 2257, 476, 280, 2489, 2978, 5359, 875, 547, 2328, 909, 2978, 5359, 30453, 875, 547, 2328, 909, 513, 6101, 2978, 1867, 519, 3483, 540, 6901, 568, 269, 2755, 2866, 547, 581, 513, 10196, 267, 621, 568, 1271, 547, 581, 2111, 547, 2328, 3927, 865, 602, 519, 3877, 540, 707, 4603, 666, 581, 6045, 5693, 543, 12799, 269, 1215, 547, 798, 513, 2978, 2328, 909, 513, 2978, 2328, 909, 568, 513, 2312, 267, 2143, 7291, 540, 707, 4603, 621, 568, 1031, 547, 4766, 543, 5659, 519, 5773, 4553, 543, 1239, 6394, 563, 1692, 547, 2328, 513, 2978, 1867, 2409, 3296, 519, 3898, 585, 519, 3003, 2978, 1867, 568, 24298, 538, 519, 30453, 540, 8047, 4170, 269, 1635, 476, 8099, 268, 4905, 281, 3621, 1505, 2978, 1867, 5225, 1224, 936, 519, 1739, 7355, 547, 3391, 596, 538, 1603, 519, 2978, 1867, 3277, 547, 23891, 513, 890, 7770, 1731, 779, 513, 2110, 3391, 547, 269, 5192, 519, 1034, 6325, 543, 12905, 2978, 1867, 948, 1603, 2298, 2978, 5359, 666, 581, 3833, 4101, 267, 2523, 2016, 519, 1377, 540, 5578, 543, 1702, 269, 14992, 946, 2978, 5359, 607, 513, 1797, 540, 5355, 2359, 543, 2504, 713, 5816, 3217, 513, 1413, 693, 519, 2489, 2978, 1867, 3898, 543, 875, 547, 3082, 621, 563, 23921, 513, 1134, 2275, 2761, 539, 7998, 2978, 1867, 649, 616, 693, 707, 3028, 952, 1603, 513, 8047, 1867, 568, 606, 9688, 532, 4161, 585, 596, 267, 938, 2754, 568, 2141, 4712, 547, 948, 269, 5903, 540, 7355, 1031, 547, 2328, 513, 2978, 1867, 267, 971, 607, 8367, 267, 1239, 3349, 267, 8753, 713, 10959, 666, 4196, 607, 513, 23988, 585, 1022, 2978, 1867, 563, 1692, 547, 2328, 513, 2978, 1867, 454, 16240, 538, 519, 10459, 3126, 2978, 5359, 1018, 568, 513, 2978, 1867, 2978, 5359, 616, 6054, 602, 2992, 513, 1382, 1184, 17298, 538, 513, 6101, 610, 3318, 269, 1684, 596, 991, 547, 2328, 513, 2978, 1867, 7048, 593, 721, 2978, 1867, 1603, 2501, 1310, 596, 723, 2944, 519, 2838, 4603, 789, 1106, 606, 1898, 851, 540, 707, 3446, 269, 1215, 547, 2328, 6323, 2978, 5359, 972, 616, 1614, 2055, 547, 1832, 538, 2247, 950, 1603, 2978, 5359, 476, 272, 1223, 707, 3659, 630, 528, 707, 20148, 264, 1224, 519, 1867, 543, 563, 8139, 875, 547, 2328, 513, 2978, 1867, 3898, 2306, 513, 11727, 2978, 1867, 2653, 547, 1711, 543, 1934, 616, 519, 1919, 4502, 6236, 269, 16179, 2978, 1867, 1603, 676, 3318, 943, 323, 5830, 2628, 1447, 281, 1205, 28774, 267, 16436, 707, 2828, 543, 2972, 707, 513, 9344, 585, 782, 4574, 269, 11426, 2978, 1867, 1603, 952, 596, 1810, 1405, 917, 875, 547, 798, 513, 2978, 1867, 267, 596, 786, 991, 4018, 5809, 6351, 689, 3318, 2978, 1867, 948, 2533, 547, 1397, 596, 269, 6258, 875, 547, 2328, 513, 2978, 1867, 547, 5968, 707, 4681, 563, 763, 2140, 540, 707, 1867, 1590, 6655, 519, 2462, 4605, 540, 707, 2978, 621, 779, 1655, 547, 2328, 519, 2140, 538, 607, 1906, 1913, 607, 2009, 855, 621, 1590, 1869, 2285, 519, 5467, 513, 1434, 269, 589, 2656, 3391, 547, 1603, 513, 6530, 2978, 3146, 1636, 7493, 910, 4367, 910, 1505, 910, 2164, 910, 4901, 269, 634, 2694, 540, 513, 8047, 1867, 4367, 281, 383, 507, 1018, 568, 519, 2796, 538, 799, 519, 4603, 3217, 1747, 519, 3119, 2816, 540, 1022, 269, 8212, 2978, 1867, 268, 2944, 9985, 547, 26924, 6909, 8464, 6323, 568, 835, 540, 519, 10459, 267, 799, 949, 3100, 547, 581, 1360, 6946, 547, 1034, 540, 519, 1053, 269, 21885, 5359, 630, 10193, 1634, 607, 2978, 5359, 264, 616, 5359, 540, 12170, 1382, 5342, 676, 741, 4589, 596, 1058, 1589, 540, 606, 8097, 1867, 607, 513, 269, 0, 3528, 2201, 4239, 476, 1556, 267, 476, 1001, 279, 5131, 16974, 454, 1103, 930, 6381, 267, 899, 713, 835, 267, 596, 666, 2681, 3544, 519, 3515, 1317, 596, 3580, 2759, 519, 4062, 856, 19952, 269, 901, 2636, 596, 547, 946, 1804, 5812, 18116, 267, 607, 596, 666, 1294, 538, 519, 2699, 8459, 1657, 543, 593, 519, 1318, 269, 901, 568, 606, 2523, 5363, 9133, 585, 7820, 1053, 945, 616, 7801, 519, 8219, 538, 713, 3733, 10610, 1788, 269, 630, 9617, 581, 2386, 711, 547, 946, 713, 8671, 545, 593, 519, 5580, 3368, 540, 519, 2295, 538, 519, 3733, 10610, 1433, 1317, 649, 4465, 1406, 16013, 1472, 782, 1346, 15532, 543, 16209, 8094, 763, 957, 540, 7801, 666, 2087, 5179, 1983, 538, 707, 1453, 269, 634, 20517, 3238, 538, 7801, 899, 8066, 519, 2645, 543, 31163, 17331, 609, 22916, 517, 666, 948, 538, 519, 1646, 540, 519, 6263, 6091, 538, 1010, 21015, 267, 11263, 543, 3946, 269, 20963, 5179, 1983, 948, 707, 1453, 547, 2328, 543, 13861, 1507, 3615, 269, 901, 2337, 707, 1453, 547, 1685, 1732, 27268, 269, 16974, 2337, 547, 1020, 543, 7794, 519, 1688, 6091, 267, 799, 2663, 2337, 609, 2238, 899, 17511, 543, 17666, 3615, 563, 2710, 711, 31361, 952, 707, 3214, 616, 711, 7801, 5265, 610, 952, 646, 568, 7801, 3544, 519, 3515, 269, 16217, 1047, 873, 585, 1010, 4674, 269, 1403, 596, 1294, 707, 3214, 1818, 9073, 1247, 7801, 267, 948, 873, 609, 621, 3079, 540, 669, 4575, 269, 17546, 1864, 875, 547, 6445, 513, 2230, 543, 798, 909, 543, 1524, 8482, 269, 1411, 666, 849, 4001, 1864, 547, 946, 14911, 4778, 547, 1118, 519, 4605, 2408, 811, 7524, 269, 16974, 568, 849, 606, 5140, 5420, 540, 4082, 269, 5753, 1419, 2769, 741, 7209, 998, 5373, 543, 7801, 563, 3374, 856, 540, 476, 1911, 1759, 593, 476, 4200, 274, 3593, 16863, 454, 28242, 9365, 1744, 4100, 454, 21854, 12108, 512, 11548, 454, 6812, 275, 26964, 623, 1231, 454, 28803, 5616, 266, 1744, 4100, 454, 22724, 774, 3518, 331, 337, 1744, 4100, 454, 9340, 13017, 323, 30893, 1744, 4100, 454, 15100, 476, 1001, 272, 910, 476, 1001, 279, 715, 629, 333, 29335, 269, 2353, 2924, 11603, 269, 0, 6357, 7790, 303, 4048, 826, 267, 524, 269, 11260, 271, 282, 546, 5507, 267, 476, 273, 20029, 269, 476, 9692, 272, 1040, 16231, 21917, 543, 15747, 626, 269, 2986, 7334, 8129, 267, 646, 729, 835, 540, 519, 2146, 540, 20527, 332, 580, 28584, 12372, 945, 1500, 606, 621, 10719, 656, 19762, 560, 1537, 4876, 538, 6628, 267, 4730, 513, 3099, 540, 2842, 543, 5569, 7405, 267, 519, 6830, 788, 10730, 267, 543, 519, 3632, 1181, 269, 2311, 519, 942, 540, 1010, 2669, 646, 729, 513, 5595, 18369, 6345, 693, 519, 3751, 781, 20989, 269, 3571, 15885, 17663, 5631, 12068, 2575, 267, 1519, 5569, 14415, 1115, 543, 10483, 13691, 5067, 21648, 269, 3571, 4207, 10639, 267, 2705, 267, 729, 17956, 676, 1010, 20498, 569, 3811, 10872, 5067, 1092, 634, 11135, 540, 26285, 826, 630, 322, 269, 9965, 279, 264, 585, 14440, 267, 1591, 334, 267, 543, 30413, 609, 14941, 740, 5391, 630, 331, 831, 11231, 585, 21088, 13691, 1040, 901, 960, 267, 556, 10968, 609, 513, 581, 11803, 540, 14013, 2113, 10560, 2065, 2360, 267, 729, 18481, 2442, 547, 2196, 547, 930, 476, 2412, 21820, 543, 547, 521, 790, 606, 7952, 540, 4086, 2406, 26776, 15556, 269, 918, 665, 385, 378, 342, 4673, 781, 711, 9461, 1214, 729, 2417, 4359, 676, 519, 29737, 6381, 540, 1010, 2669, 267, 519, 28336, 3932, 540, 606, 2144, 5328, 4603, 563, 5804, 634, 10228, 12660, 542, 547, 8535, 538, 10228, 13129, 269, 0, 24171, 12457, 729, 519, 2278, 3297, 1605, 4445, 2854, 538, 513, 2197, 5939, 12881, 267, 799, 814, 8810, 547, 581, 513, 15851, 5339, 4062, 2854, 543, 3370, 538, 519, 476, 1240, 628, 269, 7338, 12457, 1605, 4445, 2854, 538, 513, 2197, 5939, 12881, 4729, 7650, 543, 2079, 2854, 676, 606, 4810, 5339, 10404, 2407, 1353, 3391, 585, 713, 2140, 4867, 269, 18479, 4445, 2854, 538, 513, 2197, 5939, 12881, 676, 28114, 12457, 789, 2811, 4666, 630, 604, 602, 781, 513, 6249 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 306, 2793, 10933, 11968, 13353, 670, 8986, 7433, 2201, 6726, 566, 2986, 4354, 1407, 2060, 589, 7435, 4477, 323, 18185, 454, 763, 1101, 2834, 5870, 540, 519, 1007, 4005, 585, 519, 11968, 13353, 27062, 8791, 267, 634, 5980, 540, 25220, 11629, 338, 543, 13149, 19296, 267, 729, 669, 8529, 543, 8118, 676, 5261, 589, 269, 32431, 269, 1261, 16425, 5189, 519, 1007, 10492, 585, 519, 1032, 267, 12650, 269, 808, 9950, 269, 18087, 2317, 267, 2475, 301, 267, 13030, 28579, 267, 543, 8176, 661, 269, 1261, 559, 267, 23122, 2389, 516, 5501, 337, 563, 1103, 519, 9000, 540, 519, 14430, 28579, 267, 18279, 18087, 2317, 5189, 519, 10584, 267, 6754, 595, 668, 518, 540, 519, 7043, 16047, 25220, 26676, 12881, 269, 6004, 269, 595, 668, 518, 781, 1957, 729, 11331, 834, 15612, 566, 540, 10281, 15543, 1738, 4354, 1407, 585, 26751, 17632, 2060, 519, 2422, 540, 513, 7435, 4477, 323, 18185, 1701, 6004, 269, 595, 668, 518, 781, 1957, 4330, 513, 1982, 519, 2278, 1185, 2854, 585, 513, 7147, 19639, 618, 476, 6795, 5358, 30154, 18185, 547, 12337, 519, 14258, 540, 513, 26083, 1106, 689, 1899, 12400, 267, 7515, 540, 13726, 1115, 610, 3144, 1055, 519, 26083, 3294, 269, 634, 3601, 540, 519, 25671, 1355, 267, 609, 741, 6310, 4082, 585, 2040, 2719, 519, 19976, 543, 29529, 8090, 540, 24880, 540, 519, 1216, 30350, 2127, 267, 1106, 519, 4493, 540, 519, 1982, 269, 589, 5094, 3296, 540, 519, 1957, 729, 13991, 547, 519, 3903, 540, 519, 1297, 543, 19437, 540, 519, 10473, 1031, 547, 3132, 13726, 1115, 610, 3368, 3694, 2195, 585, 7127, 883, 519, 1982, 269, 3143, 1305, 19437, 568, 2838, 267, 543, 519, 1297, 540, 971, 10473, 949, 581, 607, 1804, 610, 607, 1507, 607, 519, 2838, 6111, 9598, 919, 563, 5194, 3296, 540, 519, 1957, 5941, 519, 9030, 3096, 585, 519, 533, 678, 522, 575, 678, 993, 538, 2038, 1374, 5933, 267, 547, 1118, 909, 513, 3803, 1305, 540, 14258, 610, 547, 12337, 513, 1305, 540, 14258, 585, 606, 4540, 26083, 1141, 1100, 824, 12400, 616, 5612, 2139, 269, 634, 5383, 267, 646, 1100, 842, 539, 856, 267, 941, 602, 14258, 1223, 581, 3533, 17223, 1141, 2877, 267, 547, 606, 6111, 5462, 676, 519, 1297, 540, 25671, 6950, 1031, 267, 543, 782, 713, 2944, 8850, 2899, 519, 2596, 1344, 568, 17332, 269, 3571, 1957, 729, 1252, 3585, 11609, 609, 2143, 1806, 269, 634, 6881, 3294, 676, 6004, 269, 595, 668, 518, 729, 3592, 1376, 1782, 609, 922, 12667, 4778, 543, 2095, 12222, 269, 898, 1131, 723, 1500, 1022, 1062, 25566, 3039, 609, 679, 11803, 585, 922, 9355, 540, 6609, 540, 519, 1184, 543, 922, 15364, 269, 1306, 4334, 539, 609, 519, 1957, 3294, 267, 1010, 15942, 941, 2282, 1568, 540, 1148, 269, 1358, 11617, 4330, 519, 1523, 540, 713, 1982, 267, 543, 676, 519, 5432, 1899, 543, 3625, 2095, 12125, 3366, 519, 21951, 998, 606, 1931, 569, 5432, 1436, 609, 519, 1982, 2035, 267, 922, 3156, 543, 519, 1775, 544, 533, 561, 552, 544, 552, 562, 512, 513, 512, 1775, 522, 562, 540, 922, 2164, 269, 1703, 729, 2370, 2451, 547, 835, 781, 9345, 4849, 2965, 5665, 519, 1982, 998, 513, 1483, 1272, 1966, 563, 2026, 1131, 581, 4397, 267, 519, 7766, 546, 1775, 521, 524, 579, 521, 521, 1775, 522, 562, 521, 2073, 2055, 543, 4267, 689, 519, 6989, 941, 1312, 18512, 543, 3573, 269, 898, 729, 2653, 547, 1294, 945, 941, 1034, 5432, 609, 519, 2553, 543, 789, 3533, 31889, 875, 14916, 512, 554, 552, 586, 512, 554, 552, 544, 521, 552, 561, 642, 552, 521, 1185, 1031, 891, 610, 2147, 2780, 1242, 2409, 269, 6270, 5752, 991, 711, 581, 11658, 547, 519, 1688, 4371, 533, 678, 522, 575, 678, 513, 544, 544, 513, 536, 561, 552, 9498, 269, 8950, 2029, 568, 9090, 3964, 538, 519, 7286, 4702, 2361, 269, 901, 729, 855, 1776, 16315, 540, 875, 17618, 713, 1062, 814, 1044, 15849, 23624, 607, 513, 1374, 1907, 269, 0, 2691, 596, 5544, 835, 540, 519, 844, 5593, 31257, 8021, 602, 561, 5424, 1472, 3013, 779, 10034, 543, 4872, 267, 798, 596, 1294, 873, 607, 513, 5075, 540, 1390, 2104, 5399, 1374, 286, 1403, 711, 267, 596, 1058, 563, 763, 3044, 2934, 540, 31257, 8021, 4174, 330, 5944, 616, 2147, 547, 519, 2413, 4998, 6730, 20427, 1114, 689, 519, 4571, 10601, 1433, 268, 2264, 5264, 5656, 602, 3357, 1063, 1287, 543, 1631, 269, 634, 7732, 540, 519, 8892, 267, 829, 2749, 18350, 2593, 19037, 267, 2934, 15597, 2139, 2230, 630, 18485, 585, 5870, 543, 1818, 1919, 264, 607, 1454, 607, 621, 1281, 2835, 269, 31257, 8021, 2141, 12286, 1804, 2127, 6131, 547, 9602, 3349, 960, 630, 331, 2194, 641, 2127, 267, 4896, 24047, 543, 1804, 2146, 11623, 543, 1857, 8602, 7741, 538, 1840, 547, 519, 15977, 15808, 2230, 269, 670, 7825, 563, 763, 9452, 540, 519, 31257, 23905, 454, 4517, 4319, 31257, 729, 519, 29659, 812, 538, 519, 1158, 538, 476, 5002, 272, 269, 5617, 773, 1324, 602, 968, 1492, 812, 945, 10523, 3638, 267, 10523, 538, 771, 6588, 576, 2223, 646, 5795, 2476, 476, 3445, 260, 540, 1010, 19539, 1107, 827, 1269, 12573, 2929, 1107, 7616, 8021, 267, 5939, 8219, 543, 4081, 5238, 538, 519, 2475, 543, 1472, 519, 1158, 267, 543, 21722, 519, 1523, 540, 1863, 1857, 2533, 563, 10111, 28616, 630, 7224, 23920, 264, 993, 21724, 1010, 19539, 998, 7168, 29695, 7694, 2853, 543, 729, 18979, 569, 10353, 547, 9769, 1944, 4600, 945, 18796, 21173, 598, 947, 687, 899, 2110, 2287, 741, 476, 1321, 5662, 513, 1554, 476, 277, 1554, 513, 3018, 960, 8430, 269, 3571, 24960, 344, 3357, 609, 513, 2603, 540, 12673, 1107, 851, 540, 1010, 1187, 729, 8159, 875, 519, 2434, 525, 572, 729, 6170, 269, 1261, 9053, 547, 24946, 547, 3123, 602, 1131, 968, 15276, 1346, 945, 5280, 2933, 2223, 8754, 513, 2603, 540, 8021, 269, 1879, 646, 9516, 513, 5399, 9886, 267, 646, 849, 2838, 602, 519, 4884, 610, 2749, 1683, 519, 3135, 267, 2835, 267, 5234, 543, 606, 10018, 540, 5665, 7482, 563, 1692, 31257, 4347, 1441, 519, 1977, 7732, 454, 1103, 476, 4489, 280, 267, 972, 941, 827, 476, 12573, 271, 1857, 8021, 538, 519, 2475, 2560, 3368, 540, 873, 14102, 676, 31257, 563, 3891, 1185, 513, 1463, 3310, 593, 519, 1374, 540, 519, 5656, 646, 14102, 269, 2991, 930, 540, 1010, 2038, 9886, 14102, 8021, 8604, 1932, 3063, 341, 698, 656, 547, 519, 29200, 9395, 342, 611, 267, 31257, 1185, 1010, 23122, 267, 6276, 26450, 1090, 267, 1020, 513, 30732, 2280, 547, 3391, 32358, 2950, 538, 606, 3617, 4287, 269, 968, 24687, 593, 519, 661, 14431, 540, 7732, 29844, 2223, 8659, 267, 1851, 824, 1919, 267, 3670, 10959, 6989, 4566, 585, 3617, 5399, 6272, 269, 11629, 1116, 2511, 568, 711, 9138, 267, 855, 519, 4835, 1982, 568, 1107, 2542, 4055, 267, 1930, 588, 2931, 267, 1857, 11000, 4055, 267, 1857, 8602, 7741, 267, 543, 7172, 4115, 270, 10915, 2397, 1858, 1397, 909, 538, 1142, 563, 6546, 3310, 6905, 2484, 3564, 519, 5656, 646, 13948, 6976, 585, 269, 31257, 779, 24960, 344, 3323, 513, 5458, 7678, 543, 1082, 4872, 543, 10034, 2813, 5399, 5656, 538, 513, 2147, 2511, 1818, 621, 2352, 547, 2697, 519, 4890, 31257, 8021, 8259, 1010, 2012, 568, 20077, 593, 513, 22294, 563, 2080, 568, 875, 547, 5544, 513, 5399, 689, 602, 5736, 267, 693, 513, 16145, 912, 10521, 1377, 11768, 454, 19350, 630, 21865, 2282, 3446, 1377, 264, 568, 513, 2146, 6989, 799, 3568, 513, 1857, 11000, 4055, 267, 8602, 7741, 543, 5234, 543, 3028, 2127, 269, 901, 1374, 814, 9863, 1360, 5363, 538, 27164, 7257, 1154, 891, 5656, 585, 5084, 288, 1569, 563, 15411, 2230, 593, 519, 6301, 1377, 454, 288, 6264, 13675, 25047, 5012, 909, 547, 513, 6140, 268, 13449, 2542, 4055, 630, 869, 588, 2931, 6404, 609, 7515, 610, 543, 1164, 21684, 1472, 519, 16538, 264, 782, 15763, 676, 513, 7172, 4115, 779, 6728, 630, 3602, 835, 5234, 4759, 1223, 1832, 606, 3750, 593, 519, 2898, 6989, 693, 2899, 1916, 26183, 4811, 540, 8752, 454, 20360, 3298, 267, 9486, 267, 543, 811, 9486, 269, 1703, 729, 5841, 1769, 693, 519, 2490, 540, 519, 2063, 2540, 855, 621, 7012, 1406, 4998, 610, 10464, 269, 7849, 1769, 729, 17028, 7458, 585, 782, 1483, 960, 543, 972, 1131, 2141, 581, 1082, 1804, 1164, 9486, 4092, 1472, 519, 2542, 4055, 15603, 538, 1769, 689, 2789, 5011, 563, 3383, 1548, 19732, 2989, 547, 519, 31257, 23905, 888, 5278, 616, 1869, 538, 5106, 607, 8021, 2221, 269, 11524, 723, 1044, 1065, 584, 12723, 607, 2146, 5656, 267, 4357, 4213, 267, 3092, 269, 3509, 941, 14324, 1524, 1282, 519, 476, 4198, 271, 779, 267, 476, 2568, 779, 543, 476, 3583, 779, 950, 513, 1360, 1114, 4998, 540, 968, 331, 3869, 892, 4371, 32022, 538, 519, 1977, 3750, 543, 1034, 540, 8946, 5308, 292, 616, 1631, 1373, 24565, 16283, 607, 519, 28764, 23638, 1394, 269, 634, 1455, 31831, 281, 606, 32620, 630, 604, 1932, 23337, 718, 264, 31257, 3844, 5399, 568, 986, 7458, 543, 8719, 609, 513, 14605, 2000, 527, 705, 558, 1588, 540, 22266, 626, 6405, 269, 3973, 8946, 2969, 2679, 568, 14324, 1524, 543, 8242, 883, 1945, 4837, 344, 543, 2413, 538, 519, 2063, 8717, 563, 2171, 3580, 946, 519, 1383, 540, 519, 1292, 6115, 267, 9823, 5399, 607, 606, 1383, 585, 713, 2022, 267, 2094, 621, 2501, 609, 513, 2427, 8670, 540, 513, 10508, 2685, 3765, 7666, 3660, 1867, 676, 17874, 6109, 267, 4425, 9926, 267, 19395, 1299, 16803, 267, 20926, 538, 513, 1390, 2487, 11629, 18225, 4183, 269, 634, 476, 3422, 272, 1867, 1336, 519, 3312, 31257, 5399, 547, 581, 11207, 3765, 7666, 3660, 10404, 1944, 621, 5180, 569, 267, 543, 2857, 2056, 782, 519, 630, 852, 268, 1817, 12288, 264, 2934, 602, 922, 4571, 10601, 10682, 1058, 723, 563, 288, 10213, 21626, 540, 519, 1867, 689, 602, 4183, 912, 2108, 9213, 9486, 4196, 18374, 1100, 3730, 3483, 2223, 713, 1867, 10645, 269, 968, 17457, 8654, 543, 2011, 14555, 2409, 723, 1073, 341, 7007, 519, 991, 585, 16126, 593, 2067, 1769, 543, 2011, 269, 769, 1249, 267, 513, 1454, 811, 1256, 543, 25685, 1377, 540, 8654, 543, 2837, 666, 581, 6913, 952, 972, 616, 1100, 9486, 269, 8837, 616, 513, 2027, 562, 7572, 766, 538, 513, 5399, 269, 1358, 8532, 3774, 2230, 1996, 799, 21684, 610, 15225, 666, 581, 5116, 269, 634, 2070, 568, 16297, 532, 547, 519, 5467, 269, 17797, 906, 547, 9420, 338, 543, 521, 10449, 616, 513, 3586, 2707, 540, 16698, 547, 7390, 1218, 269, 5015, 267, 9486, 616, 14427, 547, 2973, 543, 6382, 2226, 3034, 21156, 267, 519, 1007, 5399, 1058, 968, 2041, 2048, 19640, 3330, 543, 856, 16224, 609, 1970, 2781, 559, 902, 543, 8766, 9703, 6821, 2223, 543, 1058, 849, 2270, 7296, 21514, 978, 525, 630, 2254, 1175, 835, 855, 8946, 12767, 264, 7132, 513, 1804, 1858, 585, 2628, 7483, 1630, 16251, 563, 4517, 621, 729, 269, 634, 10682, 16066, 298, 5399, 267, 2966, 676, 631, 625, 8709, 3541, 10162, 515, 267, 543, 6192, 538, 476, 3192, 272, 267, 729, 519, 5326, 540, 519, 1657, 29801, 1500, 8915, 2560, 543, 568, 513, 7168, 15265, 2413, 5399, 1107, 1989, 574, 267, 4158, 543, 5762, 3293, 269, 634, 1631, 3146, 339, 1600, 8783, 7172, 4115, 540, 519, 3844, 7936, 4330, 922, 2912, 3218, 1756, 607, 267, 968, 1492, 1034, 1244, 7675, 1747, 547, 2479, 7390, 513, 1857, 5870, 1848, 3767, 519, 2749, 568, 23072, 513, 1804, 543, 14427, 22058, 566, 547, 2119, 547, 1118, 519, 2679, 513, 2370, 811, 968, 21065, 2033, 2223, 547, 10839, 1374, 4056, 267, 631, 1815, 534, 5622, 563, 17359, 17781, 281, 7982, 547, 6153, 8752, 267, 2048, 20091, 685, 10162, 1682, 543, 9835, 853, 1515, 322, 1162, 454, 2304, 2376, 593, 602, 9337, 1184, 538, 519, 6115, 1014, 4505, 713, 1032, 267, 849, 3771, 802, 1394, 547, 519, 16431, 540, 1346, 31257, 8021, 267, 844, 7627, 9400, 1234, 13433, 8566, 822, 559, 534, 267, 519, 5399, 11581, 267, 968, 10111, 28616, 4941, 547, 1711, 513, 2230, 1141, 1004, 1223, 1265, 2645, 547, 1205, 513, 1850, 909, 538, 1272, 1848, 2334, 3085, 1406, 1175, 1611, 513, 23999, 585, 2835, 269, 898, 1797, 1569, 547, 1919, 519, 1857, 2877, 855, 7948, 1406, 1205, 269, 4653, 602, 2856, 12261, 547, 3059, 1569, 585, 1004, 945, 666, 1406, 6488, 4950, 1569, 269, 1677, 4196, 1004, 945, 666, 1205, 2228, 267, 621, 849, 1797, 968 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 295, 310, 274, 24742, 518, 11073, 12803, 17902, 3299, 543, 786, 581, 2813, 538, 519, 1482, 17835, 607, 15196, 518, 295, 310, 274, 18258, 12533, 16482, 258, 1262, 13052, 9898, 2793, 299, 674, 6579, 2464, 26279, 258, 567, 476, 272, 269, 4351, 18258, 630, 514, 30958, 18258, 2567, 901, 568, 519, 4351, 9074, 689, 519, 5124, 454, 258, 567, 3044, 5399, 269, 634, 18158, 1362, 3096, 713, 547, 5352, 513, 7833, 454, 258, 567, 8870, 689, 476, 271, 268, 274, 8537, 267, 1141, 476, 271, 268, 274, 2099, 519, 772, 299, 267, 772, 305, 2676, 258, 567, 667, 299, 267, 19010, 8846, 563, 16482, 258, 567, 476, 273, 269, 5365, 18258, 281, 901, 568, 519, 5365, 9074, 689, 519, 5124, 3044, 5399, 563, 258, 567, 901, 568, 1031, 547, 1305, 513, 5365, 1688, 2401, 1599, 585, 519, 590, 5456, 19860, 5365, 454, 258, 567, 630, 6311, 12435, 1341, 595, 270, 7659, 4580, 14443, 264, 952, 519, 3593, 16858, 547, 26699, 11056, 1282, 454, 258, 567, 519, 1982, 563, 16482, 258, 567, 476, 274, 269, 19523, 18258, 281, 901, 568, 519, 1062, 9074, 689, 519, 5124, 3044, 5399, 563, 258, 567, 901, 568, 1031, 547, 2165, 3729, 519, 1982, 950, 519, 1982, 7475, 267, 950, 513, 454, 258, 567, 13691, 14443, 630, 306, 5456, 19860, 5365, 264, 568, 4607, 267, 610, 950, 1930, 3890, 14543, 454, 258, 567, 547, 1711, 610, 7670, 1679, 519, 3977, 1257, 3758, 585, 1603, 563, 16482, 258, 306, 1545, 1031, 912, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 270, 12690, 11258, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 519, 4351, 9074, 2676, 258, 567, 543, 729, 1031, 585, 519, 7440, 543, 2132, 1871, 540, 519, 28219, 842, 4590, 258, 567, 1505, 267, 799, 568, 1031, 950, 12902, 519, 5884, 585, 513, 1808, 4287, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 4882, 793, 531, 11258, 258, 338, 793, 531, 4732, 793, 531, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 20414, 6786, 2676, 258, 567, 799, 729, 1031, 547, 1711, 513, 1688, 2401, 1599, 585, 519, 590, 5456, 19860, 13691, 454, 258, 567, 954, 8306, 5365, 267, 952, 519, 3593, 13821, 547, 26699, 519, 1982, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 4148, 334, 908, 4812, 11258, 454, 258, 567, 901, 2707, 568, 519, 5124, 476, 274, 12319, 585, 13735, 1448, 2418, 2676, 258, 567, 799, 729, 1031, 547, 959, 15635, 622, 519, 1412, 320, 2071, 1297, 540, 15956, 262, 547, 476, 274, 8918, 454, 258, 567, 2798, 609, 519, 3898, 3890, 1505, 563, 16482, 258, 10059, 2517, 4178, 269, 32491, 714, 2593, 270, 7090, 3491, 13559, 2719, 270, 19702, 1963, 268, 6247, 1218, 2000, 3438, 1023, 258, 6247, 1218, 454, 258, 567, 901, 2707, 3177, 1896, 1806, 593, 875, 547, 5581, 1412, 6247, 1218, 262, 538, 454, 258, 567, 5124, 563, 16482, 258, 10059, 2517, 4178, 269, 32491, 714, 2593, 270, 7090, 3491, 13559, 2719, 8276, 1385, 338, 270, 4289, 270, 27234, 454, 258, 567, 901, 2707, 2488, 2241, 12319, 827, 5124, 781, 8638, 262, 2312, 4590, 258, 567, 1505, 269, 901, 729, 1031, 547, 2312, 782, 2609, 538, 513, 1592, 1510, 18111, 1154, 454, 258, 567, 621, 950, 519, 5021, 1297, 540, 15956, 593, 513, 19219, 729, 8242, 563, 16482, 258, 10059, 2517, 4178, 4877, 3155, 25218, 269, 1470, 9706, 2814, 976, 6066, 1606, 2748, 1790, 1021, 2914, 7159, 1606, 2748, 3613, 641, 3917, 712, 2275, 1712, 13045, 258, 567, 901, 2707, 2488, 1806, 543, 12319, 593, 5124, 781, 3207, 4590, 258, 567, 1505, 269, 901, 2707, 729, 1031, 538, 1931, 547, 23249, 11056, 1063, 454, 258, 567, 5884, 20061, 19572, 952, 519, 3593, 5551, 563, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 318, 5035, 525, 318, 15953, 338, 21867, 454, 258, 567, 901, 2707, 6257, 538, 9793, 1469, 267, 609, 1806, 267, 875, 744, 8008, 1568, 454, 258, 567, 538, 5124, 269, 901, 729, 1031, 547, 7157, 1711, 519, 19219, 543, 30958, 5049, 2676, 258, 567, 543, 519, 10035, 585, 17034, 1362, 10305, 607, 1134, 607, 3355, 1944, 610, 454, 258, 567, 22212, 1362, 10305, 269, 901, 849, 5280, 803, 1174, 875, 547, 1711, 454, 258, 567, 8320, 540, 513, 1362, 543, 875, 547, 1569, 1362, 2409, 689, 5094, 13838, 563, 16482, 258, 10059, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 2745, 2914, 603, 719, 20642, 1467, 1790, 3155, 13045, 258, 567, 901, 2707, 6257, 875, 547, 1820, 3977, 593, 519, 1482, 1899, 454, 258, 567, 1210, 519, 1820, 3890, 1505, 538, 5124, 476, 274, 269, 901, 2707, 729, 1031, 547, 1820, 1142, 454, 258, 567, 6843, 547, 519, 1482, 1899, 593, 519, 5496, 267, 2094, 1820, 3890, 676, 9949, 16493, 454, 258, 567, 547, 513, 1007, 1899, 593, 519, 5496, 1142, 942, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 11721, 17313, 11258, 258, 13449, 6730, 454, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 6958, 3796, 318, 1470, 21867, 454, 258, 567, 5637, 2959, 941, 1031, 547, 1930, 543, 5924, 1711, 6119, 585, 1603, 2676, 258, 567, 543, 585, 7114, 519, 9868, 16207, 950, 1930, 3890, 14543, 454, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 518, 5558, 11258, 6730, 454, 258, 10059, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 274, 270, 7090, 318, 1410, 8526, 21867, 454, 258, 567, 5637, 2959, 941, 1031, 547, 6023, 17756, 630, 4310, 585, 950, 519, 1930, 4590, 258, 567, 1505, 25001, 606, 744, 10345, 337, 2928, 9868, 994, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 4882, 903, 11258, 258, 338, 903, 20216, 527, 454, 258, 567, 901, 2707, 568, 1031, 547, 2165, 3729, 1982, 11056, 609, 19523, 20216, 527, 263, 13211, 258, 567, 950, 519, 1930, 3890, 1505, 14543, 547, 1711, 610, 7670, 1679, 519, 3977, 1257, 454, 258, 567, 3758, 585, 1603, 267, 950, 513, 590, 5456, 19860, 5365, 568, 4607, 267, 610, 950, 519, 454, 258, 567, 1982, 7475, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 15828, 3869, 23995, 323, 18196, 11258, 454, 258, 567, 901, 2707, 729, 1031, 547, 6460, 513, 1871, 547, 606, 703, 538, 513, 1808, 3490, 563, 258, 567, 13018, 267, 713, 2707, 729, 1031, 585, 519, 703, 3287, 267, 3490, 264, 1505, 563, 16482, 258, 10059, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 270, 31553, 6503, 11258, 258, 29239, 268, 30348, 268, 11161, 454, 258, 567, 901, 2707, 568, 12319, 827, 1852, 8928, 538, 5124, 476, 274, 269, 278, 269, 271, 563, 258, 567, 901, 2707, 729, 1031, 547, 1174, 875, 547, 2936, 9949, 1599, 454, 258, 567, 7440, 538, 5124, 630, 6518, 568, 1031, 538, 519, 1205, 17750, 4590, 258, 567, 543, 1820, 17045, 19056, 3890, 1599, 1916, 16482, 258, 10059, 2517, 4178, 9884, 274, 25217, 338, 2593, 270, 7090, 270, 7090, 318, 10915, 23952, 269, 5684, 454, 258, 567, 901, 2707, 568, 12319, 593, 1585, 5124, 5569, 2409, 269, 901, 454, 258, 567, 2707, 729, 4481, 1031, 585, 519, 5580, 3890, 1505, 267, 799, 17838, 454, 258, 567, 513, 5569, 547, 26627, 27664, 282, 713, 1505, 568, 1031, 538, 519, 1205, 17750, 3890, 1505, 563, 16482, 258, 10059, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 13040, 6344, 6349, 270, 22056, 12845, 268, 24105, 2000, 626, 2987, 1790, 3155, 2914, 603, 2275, 1643, 20695, 454, 258, 567, 901, 2707, 3877, 875, 547, 1711, 606, 8900, 1592, 267, 602, 568, 267, 14574, 513, 454, 258, 567, 1592, 609, 2450, 562, 2609, 1510, 26471, 1022, 2418, 547, 519, 1592, 454, 258, 567, 17523, 269, 901, 568, 1031, 547, 1711, 606, 538, 1388, 8900, 1592, 602, 786, 2270, 454, 258, 567, 519, 2698, 1297, 540, 7575, 540, 1142, 3014, 563, 5814, 4351, 454, 5814, 5365, 454, 5814, 19523, 692, 258, 763, 1739, 568, 513, 2241, 17083, 540, 3586, 4632, 454, 258, 7474, 786, 581, 1031, 14578, 2429, 519, 1982, 454, 258, 663, 786, 10691, 581, 9168, 780, 258, 1607, 786, 581, 1031, 547, 1449, 952, 519, 3593, 3403, 267, 606, 8870, 267, 568, 540, 454, 258, 19668, 476, 1015, 282, 602, 568, 267, 10691, 606, 12354, 531, 267, 15279, 267, 9352, 1871, 267, 3092, 563, 291, 4488, 8379, 3201, 29758, 17955, 815, 476, 1015, 692, 258, 763, 1295, 636, 636, 543, 5021, 1297, 630, 514, 5477, 264, 540, 875, 1082, 2157, 786, 454, 258, 2041, 538, 519, 18158, 563, 300, 2562, 8379, 9331, 318, 4041, 27111, 306, 815, 476, 273, 454, 7246, 311, 8379, 9331, 318, 4041, 27111, 306, 815, 476, 1839, 692, 258, 763, 5934, 610, 5021, 1297, 630, 514, 5477, 264, 602, 4564, 875, 1082, 454, 258, 9392, 519, 3014, 786, 581, 20533, 563, 300, 2562, 8379, 9331, 318, 294, 4456, 2464, 815, 476, 1015, 454, 7246, 311, 8379, 9331, 318, 294, 4456, 2464, 815, 476, 2004, 692, 258, 4322, 2418, 2099, 519, 3593, 781, 3903, 267, 1412, 13433, 262, 610, 1412, 7224, 267, 585, 454, 28744, 532, 1142, 6843, 1871, 267, 1642, 574, 1243, 676, 513, 862, 2742, 267, 547, 519, 5496, 563, 4785, 2207, 318, 11266, 19860, 318, 15045, 16604, 815, 834, 312, 4840, 4785, 2207, 318, 11266, 19860, 318, 293, 3201, 10345, 815, 834, 301, 5016, 258, 763, 10230, 2418, 8204, 1142, 4287, 454, 16810, 318, 4041, 10499, 815, 476, 271, 454, 16810, 318, 305, 20846, 815, 476, 272, 454, 289, 5588, 307, 6865, 318, 4041, 10499, 815, 476, 273, 454, 289, 5588, 307, 6865, 318, 305, 20846, 815, 476, 274, 692, 258, 763, 2012, 540, 519, 3977, 3758, 454, 5495, 9143, 7473, 318, 293, 11223, 318, 2793, 10933, 815, 834, 295, 310, 274, 24742, 518, 11073, 12803, 17902, 5016, 258, 763, 6609, 540, 519, 3014, 454, 294, 28719, 32707, 2464, 31304, 303, 3582, 815, 834, 1103, 713, 3014, 267, 972, 568, 513, 18158, 540, 476, 2641, 2418, 630, 5408, 3977, 3758, 1040, 834, 1341, 26444, 4449, 567, 834, 763, 3014, 786, 1376, 693, 519, 1283, 540, 519, 18158, 267, 1141, 519, 1871, 568, 476, 272, 269, 834, 1341, 315, 454, 4449, 567, 27719, 333, 763, 10700, 1448, 540, 519, 3014, 568, 547, 3643, 782, 540, 519, 2418, 593, 519, 18158, 269, 834, 1341, 26444, 4449, 567, 27719, 333, 1607, 568, 2944, 676, 12902, 513, 476, 275, 21758, 5884, 267, 609, 519, 10297, 772, 299, 630, 1575, 2451, 1070, 772, 305, 834, 1341, 26444, 4449, 567, 834, 263, 1575, 1318, 1070, 667, 299, 630, 6658, 2451, 1070, 543, 19010, 630, 6658, 1318, 1040, 1422, 333, 2691, 519, 5884, 3338, 593, 835, 834, 1341, 26444, 4449, 567, 834, 1993, 891, 5011, 267, 519, 3593, 786, 1847, 689, 519, 1699, 1871, 547, 519, 1871, 538, 834, 1341, 26444, 4449, 567, 834, 10472, 4287, 26142, 333, 1924, 267, 952, 519, 3593, 568, 693, 519, 1871, 476, 276, 267, 543, 519, 5884, 20061, 606, 834, 1341, 26444, 4449, 567, 834, 1575, 2451, 4287, 267, 519, 3593, 786, 1847, 547, 519, 1871, 476, 273, 269, 1422, 333, 10376, 1871, 538, 519, 834, 1341, 26444, 4449, 567, 834, 6853, 1090, 573, 814, 513, 1297, 540, 15956, 267, 1141, 519, 15956, 540, 519, 1871, 20301, 875, 1082, 834, 1341, 26444, 4449, 567, 834, 9392, 713, 1871, 729, 10272, 269, 1422, 333, 7712, 519, 3593, 5956, 693, 519, 1871, 476, 272, 267, 519, 834, 1341, 26444, 4449, 567, 834, 18524, 786, 2253, 609, 476, 272, 12297, 693, 519, 1871, 476, 272, 269, 1422, 333, 2252, 519, 5884, 20061, 513, 4287, 834, 1341, 26444, 4449, 567, 834, 7474, 568, 711, 513, 2009, 1847, 689, 519, 1699, 1871, 267, 1287, 519, 3593, 786, 834, 1341, 26444, 4449, 567, 834, 560, 599, 693, 519, 1699, 1871, 267, 1422, 333, 663, 519, 1297, 540, 15956, 593, 713, 1871, 786, 834, 1341, 26444, 4449, 567, 834, 2041, 1213, 7757, 269, 1924, 267, 952, 519, 3593, 568, 693, 1871, 476, 278, 543, 476, 278, 814, 476, 273, 15956, 267, 543, 834, 1341, 26444, 4449, 567, 834, 1492, 5884, 20061, 606, 909, 2451, 4287, 267, 1422, 660, 515, 3593, 13978, 693, 519, 1871, 476, 278, 543, 834, 1341, 26444, 4449, 567, 834, 1492, 1297, 540, 15956 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 610, 1224, 2228, 585, 1863, 563, 19324, 320, 11287, 519, 3618, 17516, 938, 1604, 1753, 2457, 2934, 519, 5767, 3377, 593, 1965, 320, 781, 3618, 8343, 2238, 1644, 547, 2825, 3354, 269, 7348, 6780, 948, 910, 8343, 630, 272, 264, 689, 6530, 476, 6110, 693, 6280, 540, 943, 14535, 1460, 476, 272, 8343, 1353, 851, 1775, 875, 941, 519, 1004, 11231, 538, 519, 2168, 1604, 630, 26792, 719, 540, 4055, 543, 269, 22339, 1047, 906, 281, 930, 540, 519, 2101, 2553, 1031, 585, 8343, 543, 4027, 540, 606, 1604, 538, 15242, 616, 607, 5205, 281, 476, 272, 2825, 1344, 1062, 630, 523, 6665, 264, 476, 273, 269, 11819, 6268, 3391, 476, 1001, 273, 268, 1724, 6389, 476, 273, 281, 519, 4928, 1604, 6101, 4116, 8343, 1106, 269, 0, 26046, 540, 519, 2140, 540, 519, 27241, 454, 8368, 540, 9115, 5758, 5758, 851, 476, 273, 5758, 851, 476, 274, 5339, 2079, 2417, 2200, 538, 519, 27241, 519, 27241, 5339, 2079, 3349, 540, 9115, 5758, 5758, 851, 476, 273, 519, 1152, 1259, 547, 2312, 707, 1378, 2012, 729, 547, 21334, 543, 2012, 1866, 269, 31522, 4734, 803, 1250, 2012, 2079, 281, 605, 2758, 2588, 1562, 891, 3515, 693, 519, 1439, 540, 519, 1404, 267, 538, 957, 17488, 267, 950, 646, 568, 32702, 609, 1010, 25903, 936, 2436, 547, 21334, 547, 31783, 543, 2140, 281, 1271, 10530, 689, 519, 27241, 2278, 269, 16520, 2079, 1382, 1957, 585, 519, 27241, 1900, 476, 273, 29466, 513, 6281, 2707, 585, 1382, 2012, 27702, 4266, 27702, 1974, 27702, 269, 2060, 519, 1913, 811, 2597, 575, 3796, 4295, 344, 267, 689, 519, 27241, 676, 818, 11037, 30885, 267, 3587, 513, 3020, 5869, 2429, 519, 1404, 267, 4295, 344, 2242, 689, 513, 18174, 880, 2025, 812, 267, 883, 513, 5869, 945, 10100, 3585, 10523, 585, 1010, 1920, 781, 1134, 5630, 543, 8956, 609, 1175, 1346, 1079, 1913, 267, 519, 1915, 540, 575, 3796, 4295, 344, 568, 3989, 269, 3690, 5296, 540, 513, 15594, 2079, 540, 519, 27241, 1256, 2469, 607, 2484, 607, 546, 2466, 1154, 1010, 21359, 543, 8297, 1456, 1010, 1412, 16591, 2012, 262, 782, 540, 713, 568, 2944, 1175, 547, 723, 1010, 7385, 2463, 1864, 1586, 563, 6635, 11037, 30885, 1031, 519, 4890, 1893, 540, 519, 476, 1704, 524, 547, 1118, 519, 1404, 26723, 839, 4601, 8076, 1498, 1010, 8247, 949, 581, 547, 16616, 519, 3441, 2944, 676, 1728, 3122, 673, 543, 3765, 7666, 3660, 6392, 5515, 547, 688, 20439, 9601, 1282, 519, 544, 764, 14390, 344, 5736, 540, 13314, 538, 519, 476, 4198, 271, 781, 267, 646, 5036, 1010, 6429, 538, 519, 942, 540, 519, 269, 5213, 1405, 2731, 917, 1946, 519, 27241, 568, 11331, 519, 27241, 1810, 1405, 5855, 267, 649, 2811, 1934, 547, 2995, 596, 1946, 621, 781, 899, 602, 2079, 281, 1018, 781, 909, 609, 519, 2140, 1394, 1985, 24076, 538, 713, 1404, 568, 972, 540, 513, 2446, 540, 519, 2262, 27241, 269, 634, 27241, 2079, 5339, 3457, 538, 519, 27241, 13513, 267, 11052, 267, 14336, 800, 1018, 781, 909, 609, 519, 2140, 24076, 538, 713, 1404, 568, 972, 540, 513, 2446, 540, 519, 2262, 27241, 865, 1141, 4010, 1705, 602, 2097, 689, 543, 1018, 538, 519, 1158, 568, 513, 27241, 267, 19037, 269, 5131, 1557, 281, 519, 27241, 676, 818, 11037, 30885, 568, 513, 1404, 2854, 538, 3210, 547, 519, 21340, 1085, 4100, 538, 13314, 538, 519, 476, 4198, 271, 781, 30885, 8359, 519, 27241, 607, 563, 14187, 5439, 540, 519, 27241, 5098, 3948, 585, 2852, 543, 1164, 1153, 519, 27241, 1915, 2079, 519, 3197, 540, 818, 11037, 30885, 781, 519, 27241, 616, 782, 3238, 538, 519, 18338, 6968, 2140, 2985, 15853, 2985, 6169, 15105, 269, 634, 27241, 281, 1283, 4557, 10530, 267, 1863, 1353, 10274, 543, 1433, 4967, 1519, 3102, 3184, 2079, 267, 2347, 5758, 2079, 267, 2278, 12092, 1344, 267, 1915, 12632, 267, 6249, 2079, 267, 14165, 2079, 267, 543, 1283, 4557, 10530, 593, 5929, 3332, 269, 5131, 1557, 593, 2079, 540, 14646, 605, 2758, 689, 519, 27241, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 563, 26046, 540, 519, 2140, 540, 519, 27241, 454, 763, 1650, 540, 519, 27241, 1557, 2140, 281, 519, 1650, 540, 519, 27241, 519, 1650, 540, 519, 27241, 538, 519, 1404, 267, 519, 27241, 267, 519, 1915, 14646, 605, 551, 518, 2565, 2079, 540, 519, 8405, 331, 864, 2110, 1650, 519, 2110, 1650, 267, 519, 8405, 331, 864, 563, 268, 634, 27241, 910, 519, 2140, 818, 11037, 30885, 15931, 569, 13603, 519, 2140, 519, 27241, 585, 1010, 1404, 827, 519, 2892, 655, 18338, 6968, 338, 540, 519, 476, 14917, 271, 781, 1317, 540, 519, 2262, 781, 1082, 10096, 563, 268, 634, 27241, 568, 513, 476, 1960, 277, 7819, 3140, 12416, 4670, 2854, 676, 818, 11037, 30885, 15268, 1010, 1404, 540, 519, 1482, 2140, 267, 6273, 676, 519, 2892, 655, 31783, 8062, 563, 268, 898, 568, 5497, 602, 713, 3391, 581, 1031, 547, 9148, 543, 8831, 519, 2673, 21849, 2079, 799, 3029, 519, 4493, 540, 6514, 960, 818, 11037, 30885, 781, 1412, 1492, 27241, 262, 568, 513, 24491, 8393, 24457, 995, 12416, 540, 1589, 827, 519, 2140, 12449, 585, 519, 4670, 563, 763, 27241, 21044, 2079, 27241, 281, 513, 4049, 1449, 610, 4693, 538, 1018, 2081, 616, 519, 1004, 540, 2892, 655, 7318, 945, 10596, 945, 14543, 1018, 16431, 616, 7318, 3823, 4984, 543, 5126, 269, 1411, 616, 2542, 7421, 20451, 538, 519, 27241, 1875, 27395, 2079, 540, 20451, 538, 519, 4583, 1433, 519, 27241, 1948, 322, 745, 24862, 269, 3503, 606, 1557, 7234, 519, 4644, 540, 519, 2140, 1018, 568, 519, 27241, 1369, 519, 1404, 543, 875, 1281, 621, 3142, 32173, 776, 2079, 1557, 585, 519, 27241, 9767, 1616, 547, 4444, 1382, 4574, 2228, 938, 4388, 543, 13354, 8039, 786, 948, 596, 16926, 519, 1655, 1957, 5830, 14585, 3419, 632, 269, 1955, 3257, 513, 1915, 2079, 585, 705, 580, 841, 13275, 338, 543, 1775, 991, 948, 4466, 513, 16023, 585, 1200, 1775, 917, 521, 1127, 30442, 267, 6354, 11494, 267, 10795, 267, 31081, 652, 267, 3092, 267, 855, 1775, 991, 547, 1265, 513, 16023, 602, 5540, 519, 4729, 540, 519, 27241, 609, 476, 274, 4773, 540, 21849, 2963, 1775, 991, 1079, 267, 543, 1775, 4312, 2907, 269, 634, 4890, 4729, 540, 519, 27241, 568, 632, 1061, 1947, 2241, 606, 2079, 540, 2101, 3197, 3594, 827, 519, 27241, 519, 27241, 798, 711, 946, 519, 27241, 607, 519, 2140, 798, 269, 3627, 605, 2758, 568, 513, 8731, 7757, 1367, 646, 11099, 1010, 26035, 609, 705, 580, 841, 9048, 1706, 2406, 8697, 1864, 538, 519, 4064, 540, 5601, 267, 1010, 7385, 1714, 9626, 267, 543, 5128, 3020, 267, 533, 269, 0, 292, 30984, 630, 5228, 19967, 281, 15748, 519, 4207, 552, 30984, 7521, 998, 513, 4633, 2016, 693, 519, 2840, 2719, 5069, 23019, 8630, 538, 24469, 269, 634, 552, 30984, 1982, 6719, 538, 1082, 2081, 513, 31667, 531, 585, 562, 21532, 27437, 781, 7766, 1024, 665, 10537, 4507, 2443, 1492, 2165, 552, 30984, 1797, 12777, 1434, 2669, 621, 2356, 4016, 547, 519, 16578, 618, 540, 513, 1928, 1652, 2669, 585, 513, 12225, 1227, 610, 2165, 3373, 2192, 1367, 945, 1131, 6382, 7985, 269, 9291, 544, 826, 327, 6352, 6199, 267, 2528, 31296, 1726, 341, 528, 535, 12000, 582, 614, 607, 1932, 552, 583, 1156, 14901, 543, 952, 596, 723, 513, 2489, 2856, 610, 513, 3896, 602, 1522, 581, 2111, 547, 2285, 803, 513, 2048, 11133, 1499, 685, 2179, 269, 5274, 2924, 543, 552, 30984, 1743, 536, 6929, 3542, 731, 267, 476, 1960, 279, 630, 20142, 536, 6929, 3542, 731, 568, 513, 19622, 16562, 652, 2867, 626, 543, 23080, 14306, 1416, 10629, 264, 519, 1523, 540, 1480, 2924, 267, 6508, 689, 9270, 540, 519, 2470, 540, 18495, 563, 11854, 3663, 4952, 952, 513, 2673, 3448, 540, 16523, 729, 12955, 540, 5761, 2860, 1142, 7362, 789, 3576, 729, 30748, 1944, 1100, 4915, 610, 3075, 1223, 24390, 741, 1928, 269, 661, 30984, 568, 513, 3810, 1950, 3390, 5473, 2352, 2055, 3823, 519, 1909, 540, 2413, 2229, 543, 519, 2924, 540, 1367, 4961, 269, 4653, 1775, 786, 1865, 519, 3390, 540, 552, 30984, 606, 3390, 799, 814, 14324, 938, 2197, 6306, 25432, 543, 13998, 621, 814, 2451, 519, 513, 26894, 2146, 693, 513, 563, 292, 30984, 568, 1034, 1419, 12913, 585, 10130, 676, 13297, 540, 513, 2669, 11897, 1424, 3075, 707, 16943, 949, 17982, 513, 22471, 559, 6500, 1101, 547, 6001, 707, 4620, 269, 3245, 519, 21717, 945, 568, 6998, 1200, 7022, 547, 1450, 1200, 547, 1964, 547, 519, 2635, 4807, 945, 4941, 547, 5884, 609, 1200, 7210, 9393, 267, 1491, 513, 563, 22492, 1867, 782, 3613, 541, 8470, 5172, 30479, 737, 571, 3578, 600, 1067, 5950, 513, 4484, 547, 1010, 11655, 543, 18793, 267, 1896, 4374, 1310, 18460, 2101, 6391, 269, 661, 30984, 10388, 4633, 554, 2675, 7005, 3860, 1603, 281, 10388, 4633, 552, 30984, 4952, 513, 1158, 1141, 4896, 267, 1256, 519, 524, 12350, 569, 2192, 610, 20158, 267, 568, 3362, 19443, 538, 11980, 269, 594, 991, 547, 530, 31095, 513, 4633, 543, 1775, 13603, 602, 1888, 23463, 875, 1058, 1775, 1376, 621, 1055, 922, 2731, 14845, 803, 948, 555, 343, 538, 4434, 269, 661, 30984, 1382, 1957, 676, 31444, 333, 2909, 1091, 24849, 1870, 5359, 10388, 4633, 13181, 4633, 4444, 4633, 4444, 12031, 1557, 3584, 4444, 563, 15761, 847, 338, 689, 713, 3561, 4367, 4737, 6511, 11350, 16555, 910, 4633, 593, 552, 30984, 609, 1250, 4633, 267, 1775, 993, 5466, 606, 5304, 602, 5161, 540, 513, 6404, 2085, 267, 4352, 3622, 1100, 835, 896, 519, 2085, 540, 476, 1240, 267, 543, 6404, 3023, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 552, 30984, 4633, 269, 6206, 2798, 585, 3181, 908, 21528, 11980, 5618, 5758, 540, 7440, 1996, 3656, 1944, 552, 30984, 270, 817, 13554, 11980, 585, 811, 2143, 1344, 267, 596, 666, 979, 547, 4749, 4280, 2055, 610, 4757, 721, 563, 292, 583, 1156, 14901, 538, 31065, 552, 30984, 3006, 267, 1272, 666, 14016, 622, 547, 519, 1448, 1141, 513, 1268, 19380, 741, 15683, 543, 1582, 9113, 1051, 269, 661, 30984, 2165, 4574, 630, 17549, 476, 15150, 6246, 264, 593, 1946, 1058, 552, 30984, 581, 3656, 1242, 281, 621, 568, 7805, 602, 552, 30984, 1058, 581, 15868, 10876, 585, 519, 1739, 4128, 281, 1367, 15698, 835, 521, 19888, 1600, 1928, 267, 7092, 267, 543, 11465, 2165, 1957, 476, 15150, 6246, 269, 1323, 608, 560, 2400, 17609, 540, 4950, 4609, 5627, 6325, 1344, 827, 552, 30984, 543, 4128, 547, 28586, 621, 563, 25324, 24070, 4633, 7291, 1888, 281, 552, 30984, 2433, 547, 2661, 543, 1577, 5884, 2489, 3483, 281, 547, 22321, 1808, 3483, 281, 547, 22321, 1250, 5304, 602, 552, 30984, 1058, 581, 3656, 1242, 538, 4731, 904, 807, 269, 634, 27369, 910, 1394, 547, 1753, 1118, 513, 9295, 24049, 1265, 513, 2816, 6009, 1129, 538, 6085, 2534, 12575, 9043, 4757, 7375, 1689, 10957, 1129, 856, 1250, 2272, 269, 4208, 649, 1058, 1118, 552, 30984, 3656, 7189, 786, 2221, 7521, 519, 4540, 4031, 593, 552, 30984, 1934, 1743, 737, 841, 1662, 669, 663, 6941, 519, 4128, 3297, 1010, 5163, 585, 519, 563, 19530, 762, 4528, 630, 23486, 264, 22344, 1309, 653, 749, 583, 328, 4633, 16472, 630, 4424, 2458, 1231, 262, 4633, 827, 552, 30984, 264, 7440, 281, 29827, 2458, 1231, 262, 4633, 15156, 519, 3656, 1436, 540, 552, 30984, 593, 1079, 1292, 13210, 281, 5191, 540, 3903, 543, 19493, 8323, 540, 1928, 269, 1160, 31547, 7440, 630, 1721, 552, 30984, 264, 666, 3533, 543, 1480, 324, 569, 1439, 513, 3461, 779, 7092, 267, 3850, 873, 547, 5884, 609, 15683, 666, 948, 547, 2110, 523, 519, 16236, 543, 7092, 540, 519, 3461, 779, 6068, 3283, 269, 3367, 713, 1557, 593, 10388, 4633, 281, 552, 30984, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 269, 21261, 894, 1557, 1996, 552, 30984, 4367, 552, 30984, 568, 519, 2259, 540, 22393, 11318, 513, 1268, 547, 22302, 1864, 610, 1200, 689, 2348, 547, 269, 0, 2690, 6502, 267, 2470, 814, 3177, 519, 2564, 2872, 609, 5820, 602, 723, 3532, 15084, 267, 1884, 1047, 10364, 267, 610, 4550, 13611, 3601, 799, 616, 9268, 883, 11955, 267, 1583, 4548, 267, 522, 842, 906, 267, 610, 2603, 687, 563, 20332, 17172, 1670, 2472, 616, 6140, 1336, 538, 519, 1106, 540, 522, 842, 906, 610, 1212, 4461, 267, 799, 616, 3533 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1702, 540, 9568, 6604, 269, 1284, 4061, 2832, 547, 5721, 2947, 4775, 3401, 538, 1142, 540, 519, 476, 13647, 10480, 518, 725, 540, 29117, 12205, 538, 519, 2749, 267, 585, 513, 2698, 540, 827, 476, 7785, 3401, 676, 519, 1439, 540, 16642, 1032, 476, 1001, 276, 563, 3383, 2484, 476, 3192, 4961, 723, 6192, 519, 1576, 267, 543, 519, 1297, 540, 4775, 3401, 814, 2799, 689, 3670, 693, 519, 4098, 547, 476, 5655, 693, 519, 1439, 540, 2063, 16642, 1032, 269, 1284, 20053, 547, 2333, 519, 1297, 540, 4775, 3401, 538, 1931, 547, 6451, 741, 5380, 883, 3609, 4259, 607, 1134, 607, 4052, 27549, 8998, 4238, 563, 2171, 616, 849, 30082, 4687, 938, 2833, 689, 519, 9568, 543, 519, 4245, 649, 4121, 3823, 2021, 779, 7589, 269, 769, 5239, 476, 1001, 273, 267, 476, 273, 267, 1220, 5171, 689, 782, 936, 3567, 10356, 585, 519, 3567, 6468, 779, 10985, 538, 27189, 2967, 543, 9783, 519, 968, 306, 754, 2967, 16672, 892, 799, 7150, 602, 2021, 723, 519, 1318, 547, 6430, 543, 519, 1379, 543, 5539, 547, 957, 563, 13010, 267, 649, 616, 2870, 513, 13186, 10872, 543, 9499, 547, 3895, 2021, 779, 7589, 538, 2146, 9568, 1790, 516, 3685, 2238, 543, 8066, 11925, 538, 2199, 2950, 269, 634, 6468, 779, 15557, 8750, 585, 18401, 689, 519, 4279, 5101, 3567, 32495, 820, 267, 799, 729, 3964, 609, 513, 21856, 689, 16157, 267, 7482, 891, 2238, 563, 2304, 2810, 4656, 540, 519, 2956, 540, 2021, 779, 7589, 538, 3375, 6194, 568, 7700, 547, 606, 2799, 4656, 540, 9568, 6604, 538, 1142, 2199, 2146, 563, 2171, 19775, 513, 13636, 28155, 6261, 516, 3685, 4643, 10452, 2021, 779, 5380, 543, 2799, 519, 1297, 540, 2021, 3401, 3743, 585, 519, 5106, 540, 27549, 18013, 563, 3725, 23428, 547, 5754, 690, 334, 17563, 585, 11059, 454, 18131, 4043, 547, 581, 2219, 540, 607, 519, 23700, 540, 1489, 267, 855, 609, 741, 3742, 7589, 538, 9568, 6604, 267, 649, 666, 3565, 547, 519, 4070, 540, 513, 2922, 543, 9568, 15033, 2528, 563, 763, 10335, 540, 3871, 602, 2021, 616, 5116, 538, 2053, 540, 9568, 568, 606, 3390, 1455, 547, 1312, 2919, 543, 3384, 2477, 269, 14301, 909, 513, 6237, 9568, 1790, 516, 3685, 1544, 267, 2705, 267, 602, 9356, 2021, 779, 5380, 543, 2866, 2021, 607, 2199, 9568, 1790, 516, 3685, 3401, 666, 2087, 891, 3871, 269, 769, 1840, 267, 1813, 547, 519, 5266, 1970, 1942, 540, 891, 3785, 267, 649, 3494, 519, 1761, 585, 18643, 568, 1360, 1164, 563, 30949, 540, 27189, 2967, 630, 290, 5142, 529, 5004, 4972, 282, 13834, 26321, 31621, 8791, 540, 519, 7991, 16457, 13163, 1916, 306, 754, 2967, 13834, 26321, 31621, 7690, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3963, 616, 649, 865, 28537, 609, 25750, 888, 4002, 4728, 476, 1839, 628, 5518, 24068, 9307, 602, 1010, 7245, 729, 30945, 519, 476, 1911, 6377, 6669, 3804, 547, 476, 1220, 2929, 269, 901, 4992, 899, 513, 15112, 11244, 5048, 269, 9701, 649, 581, 10583, 888, 8253, 2731, 269, 9717, 519, 7372, 5313, 1489, 538, 7616, 543, 18374, 19957, 2200, 585, 20491, 2782, 335, 17726, 267, 519, 2319, 25461, 609, 22412, 908, 519, 6669, 267, 1070, 519, 1699, 2157, 540, 12674, 616, 711, 11141, 269, 6423, 513, 3349, 2630, 585, 1239, 607, 540, 476, 1240, 628, 4728, 476, 1708, 272, 912, 15703, 824, 2477, 630, 10175, 1804, 2477, 267, 899, 6628, 264, 723, 2944, 1454, 1732, 960, 593, 513, 3448, 4493, 269, 28993, 267, 513, 2197, 609, 3908, 2200, 855, 31344, 958, 6896, 3782, 267, 729, 2111, 547, 3914, 5176, 519, 1482, 4939, 1377, 540, 12674, 607, 519, 2475, 269, 901, 18802, 568, 1256, 811, 26648, 950, 2921, 883, 2272, 519, 1569, 547, 519, 4890, 10074, 269, 7490, 1353, 519, 3349, 2630, 912, 13126, 281, 4578, 281, 16099, 6820, 2657, 16743, 4741, 269, 15873, 281, 18466, 548, 17755, 31649, 12458, 3495, 657, 454, 4415, 1152, 476, 275, 260, 540, 519, 1158, 779, 2551, 267, 519, 772, 2529, 269, 6589, 585, 476, 2767, 260, 540, 519, 1158, 779, 6669, 2504, 269, 901, 1797, 602, 609, 476, 272, 5479, 13066, 12349, 543, 513, 2551, 540, 476, 20065, 2929, 267, 938, 2197, 814, 519, 1655, 3761, 538, 519, 1158, 269, 1924, 1946, 616, 649, 711, 3056, 538, 12674, 3928, 888, 763, 2626, 568, 281, 10721, 14524, 543, 29904, 6483, 563, 2467, 4667, 547, 581, 2370, 1445, 593, 519, 12366, 1436, 540, 2241, 1184, 31931, 281, 6679, 3108, 540, 12674, 7740, 616, 3927, 968, 321, 5350, 607, 8912, 2223, 972, 568, 513, 10892, 585, 1100, 6879, 3298, 282, 543, 267, 972, 568, 13385, 3919, 3823, 519, 3892, 540, 3063, 10074, 693, 519, 1554, 779, 2673, 269, 1547, 2859, 982, 476, 272, 8536, 1004, 5884, 689, 5046, 538, 519, 2475, 513, 1554, 267, 835, 1131, 1589, 602, 713, 1058, 581, 2614, 547, 1118, 519, 11938, 540, 1346, 5773, 513, 2339, 540, 25932, 10862, 609, 476, 2190, 327, 270, 278, 12674, 7740, 267, 476, 1911, 260, 13345, 540, 555, 31090, 12674, 14569, 543, 2407, 4254, 16478, 540, 782, 2139, 10986, 269, 3502, 2731, 563, 4131, 779, 1491, 519, 7887, 3782, 8502, 538, 4993, 630, 298, 9820, 518, 2776, 2006, 25366, 264, 607, 606, 1383, 269, 1306, 540, 4728, 476, 2641, 560, 789, 4607, 476, 9262, 272, 330, 13066, 855, 7856, 1152, 476, 277, 4343, 330, 538, 8828, 4993, 269, 901, 1570, 3017, 1063, 13066, 4607, 543, 7856, 5666, 547, 3592, 513, 10116, 540, 513, 2929, 1004, 267, 799, 18922, 883, 513, 1360, 1808, 2179, 540, 2729, 4503, 563, 763, 2034, 1966, 568, 29904, 6483, 269, 634, 10074, 1223, 581, 13950, 676, 5215, 811, 4628, 8036, 7189, 543, 11923, 855, 649, 1810, 1406, 1450, 873, 547, 798, 865, 269, 4208, 286, 7433, 1740, 267, 3656, 6054, 547, 581, 3169, 269, 634, 22406, 4320, 540, 1957, 1740, 2838, 689, 4387, 779, 2853, 547, 4218, 3433, 519, 10074, 568, 11566, 269, 1284, 4862, 2047, 689, 7189, 538, 938, 5858, 267, 945, 4941, 547, 17982, 10074, 855, 1287, 5795, 909, 593, 519, 2856, 1310, 7487, 9937, 543, 7366, 540, 3817, 540, 15668, 267, 31254, 5183, 288, 543, 824, 12319, 547, 2689, 609, 3978, 3656, 1893, 602, 3340, 513, 2319, 540, 17864, 547, 1353, 543, 10110, 269, 3776, 2486, 568, 2966, 585, 2462, 1870, 267, 945, 666, 6488, 20679, 540, 17864, 269, 1306, 513, 2486, 267, 649, 616, 1818, 1586, 519, 3903, 602, 621, 568, 1732, 547, 723, 16886, 16513, 1957, 1740, 982, 547, 4688, 2729, 563, 763, 3932, 568, 2241, 281, 649, 991, 547, 2736, 689, 519, 30380, 5858, 540, 3656, 791, 582, 775, 543, 10721, 791, 582, 775, 538, 3782, 269, 901, 568, 4628, 1582, 19899, 21719, 3441, 538, 519, 2796, 540, 519, 3448, 11606, 540, 2200, 543, 10074, 269, 4033, 2477, 798, 621, 1454, 1732, 267, 1946, 666, 1406, 649, 798, 621, 286, 0, 13202, 19258, 2131, 1107, 9147, 303, 1137, 2593, 1107, 901, 1804, 18955, 11127, 568, 1869, 538, 3501, 2783, 5103, 1373, 476, 1015, 267, 4335, 4458, 6040, 256, 898, 568, 1631, 519, 1158, 779, 9510, 18955, 1666, 330, 539, 543, 621, 729, 4362, 538, 631, 3120, 9346, 8072, 520, 29190, 538, 5840, 563, 6097, 547, 519, 4165, 1172, 885, 16958, 267, 519, 11127, 729, 1336, 8900, 543, 6806, 609, 513, 19984, 269, 17497, 267, 621, 779, 7164, 1018, 621, 2899, 8659, 563, 1607, 476, 1015, 267, 4335, 4458, 6040, 11127, 607, 1336, 538, 631, 3120, 9346, 8072, 520, 29190, 568, 1631, 519, 1158, 779, 9510, 18955, 1666, 330, 539, 2479, 4362, 269, 15894, 281, 25463, 643, 645, 9007, 270, 296, 8150, 454, 14722, 798, 711, 1589, 1346, 945, 3812, 519, 1666, 330, 539, 5030, 538, 519, 13946, 269, 898, 779, 811, 2693, 621, 729, 1031, 585, 4859, 267, 855, 1946, 621, 8694, 909, 538, 519, 7225, 6756, 13946, 568, 1869, 606, 3504, 9814, 563, 29605, 689, 519, 11127, 723, 1044, 9916, 543, 3173, 11943, 519, 18955, 11127, 729, 14475, 1472, 476, 1015, 267, 4335, 1296, 3516, 1282, 519, 2776, 6261, 582, 6670, 32665, 1974, 269, 898, 729, 1282, 713, 942, 267, 519, 1158, 779, 1101, 4884, 7603, 747, 334, 7902, 538, 519, 2274, 2779, 1472, 476, 280, 267, 1822, 645, 5861, 563, 22154, 568, 519, 1034, 3078, 6602, 602, 594, 723, 11402, 538, 1250, 1272, 563, 763, 11127, 814, 513, 4390, 540, 930, 476, 10844, 20990, 269, 1284, 798, 711, 917, 2943, 799, 1826, 540, 2030, 729, 1031, 547, 1118, 621, 267, 855, 649, 616, 3168, 883, 621, 563, 4913, 267, 649, 666, 2907, 2161, 602, 1079, 1004, 530, 913, 621, 267, 543, 602, 835, 540, 873, 729, 2451, 26370, 2223, 3220, 269, 670, 2727, 28137, 1767, 1282, 513, 2046, 5618, 532, 693, 519, 594, 8150, 2978, 538, 13243, 563, 19425, 2801, 5505, 849, 4362, 561, 2393, 619, 1185, 1044, 3742, 538, 519, 2673, 25610, 540, 519, 15999, 267, 3504, 11127, 267, 855, 22508, 2299, 267, 789, 11074, 14155, 908, 1175, 1354, 8757, 621, 563, 10527, 15063, 5106, 6663, 693, 5619, 532, 7366, 540, 23572, 538, 519, 7225, 6756, 19164, 547, 10250, 543, 8190, 519, 1884, 1172, 885, 602, 616, 1869, 6456, 972, 1354, 789, 616, 27366, 543, 4421, 593, 519, 4357, 2344, 267, 607, 814, 5949, 538, 519, 2250, 563, 2108, 16391, 545, 2326, 2356, 798, 711, 723, 519, 2702, 547, 7639, 585, 971, 1279, 5712, 2223, 3220, 269, 10878, 4821, 2672, 5287, 1731, 689, 519, 594, 8150, 779, 17667, 7698, 4972, 5143, 634, 13243, 5403, 563, 2108, 4913, 267, 519, 2027, 20296, 2783, 540, 519, 7225, 6756, 19164, 267, 922, 3819, 4365, 267, 723, 4847, 585, 19421, 540, 13742, 547, 2063, 585, 5553, 543, 27453, 3034, 16449, 824, 3688, 267, 519, 24085, 723, 1336, 15998, 540, 20955, 1869, 8876, 741, 6505, 4778, 6580, 1394, 547, 519, 4936, 1974, 267, 2694, 540, 5070, 1023, 267, 513, 1507, 2036, 609, 476, 273, 267, 1822, 4458, 6040, 561, 823, 12758, 1063, 922, 4522, 267, 5452, 267, 543, 4773, 540, 18052, 563, 2710, 17899, 540, 20801, 15998, 689, 513, 13400, 20801, 6580, 1394, 930, 476, 273, 267, 1822, 1296, 941, 849, 11552, 691, 1117, 538, 519, 1101, 6602, 540, 922, 2186, 538, 5756, 563, 8450, 849, 281, 2859, 26337, 5240, 454, 10666, 3368, 540, 519, 1858, 1869, 3788, 547, 581, 23500, 543, 8774, 2417, 1769, 883, 1272, 538, 5840, 936, 519, 1576, 540, 27453, 3034, 24309, 676, 3967, 19258, 2131, 1107, 24606, 2414, 292, 14410, 2593, 1107, 9147, 303, 1137, 2593, 16065, 27752, 0, 288, 1507, 14941, 267, 2523, 513, 13719, 14941, 609, 1152, 835, 2960, 267, 5129, 593, 609, 519, 1688, 267, 543, 2348, 30518, 693, 519, 5011, 282, 513, 4626, 3691, 331, 563, 303, 2075, 15664, 6293, 9967, 540, 513, 1507, 5180, 14941, 609, 4496, 10824, 17332, 538, 922, 26079, 282, 5129, 676, 11495, 610, 24373, 269, 769, 713, 1383, 512, 568, 4862, 30326, 693, 519, 10956, 540, 519, 1292, 23260, 269, 7151, 281, 570, 15939, 1731, 990, 20391, 267, 634, 25326, 28755, 14982, 267, 834, 307, 10517, 752, 257, 7464, 23866, 281, 476, 2764, 298, 1923, 476, 6321, 298, 1923, 6168, 713, 17581, 454, 320, 13719, 14941, 609, 513, 2582, 14941, 3650, 543, 609, 17285, 28283, 538, 519, 5011, 0, 2252, 596, 616, 6236, 3257, 513, 9836, 2689, 610, 13849, 20400, 267, 713, 1900, 8386, 9912, 3391, 6663, 547, 1489, 596, 2059, 519, 1259, 563, 763, 6378, 1198, 2203, 2488, 513, 22051, 3328, 540, 513, 3126, 540, 1353, 9193, 563, 763, 11201, 540, 519, 9193, 262, 13065, 568, 4122, 1031, 607, 1353, 2597, 267, 865, 602, 3677, 2090, 4043, 547, 3565, 811, 982, 4130, 2090, 547, 519, 22051, 3328, 563, 3519, 8019, 267, 950, 2090, 1369, 513, 13849, 20400, 616, 13856, 676, 513, 1360, 1804, 1353, 267, 519, 4681, 689, 4130, 2090, 616, 18374, 16053, 563, 7197, 11932, 267, 519, 6378, 2360, 2203, 17648, 602, 782, 3769, 2090, 8495, 519, 1482, 2551, 267, 946, 519, 1482, 4756, 543, 6364, 8847, 267, 3092, 563, 11266, 3041, 7246, 2488, 5583, 593, 1018, 596, 1058, 1331, 950, 8989, 513, 9836, 2689, 269, 31158, 1578, 906, 543, 22108, 13518, 540, 713, 5796, 568, 1759, 593, 519, 5140, 630, 663, 3573, 264, 5583, 689, 519, 3213, 577, 8735, 21664, 630, 3738, 543, 519, 10418, 585, 17352, 543, 2598, 20611, 693, 3840, 630, 4860, 270, 2336, 300, 9508, 5811, 19837, 10488, 6355, 12020, 9828, 454, 20877, 673, 5758, 540, 513, 13849, 2079, 540, 936, 476, 272, 267, 1822, 2665, 540, 27556, 17271, 533, 2632, 710, 1350, 328, 5448, 543, 824, 12963, 1350, 328, 5557, 267, 538, 799, 1344, 827, 519, 13592, 3238, 607, 1134, 607, 13598, 4093, 941, 30341, 689, 519, 5817, 3119, 3332, 269, 4002, 519, 824, 1688, 267, 9940, 14919, 1239, 3800, 519, 1198, 540, 1079, 5574, 602, 941, 1142, 3379, 1996, 513, 2147, 1852, 1895, 538, 513, 13849, 20400, 269, 2690, 1383, 267, 952, 2126, 589, 543, 2126, 645, 941, 2047, 3379, 5288, 21897, 538, 5094, 13849, 12845, 26087, 525, 267, 649, 666, 946, 891, 1079, 7535, 539, 2164, 547, 1205, 606, 7447, 540, 519, 2360, 540, 589, 5288, 645, 538, 606, 9940, 6476, 607, 1198, 589, 5288, 9255, 2692, 14263, 1198, 645, 5288, 9255, 2692, 269, 3528, 4227, 7379, 291, 547, 5084, 267, 1079, 22533, 2409, 666, 849, 581, 4294, 950, 7379, 291, 568, 2139, 282, 713, 2306, 873, 606, 13267, 3903, 950, 7900, 513, 13849, 20400, 269, 7212, 621, 568, 15007, 958, 5156, 602, 835, 22533, 543, 1079, 22533, 2409, 6556, 2147, 2164, 267, 2487, 2090, 723, 3254, 602, 789, 949, 12212, 1291, 547, 1114, 8753, 269, 4913, 267, 538, 7900, 513, 13849, 20400, 267, 606, 31375, 1590, 1118, 5079, 799, 666, 1860, 519, 2164, 267, 1519, 14045, 875, 547, 3406, 585, 2090, 267, 8939, 2090, 1759, 593, 513, 1305, 540, 6662, 7355, 267, 7231, 609, 18106, 1239, 267, 7421, 519, 1239, 267, 543, 8051, 585, 610, 7446, 711, 547, 2272, 585, 8313, 9186, 269, 10417, 1302, 267, 513, 13849, 20400, 3096, 513, 8579, 1935, 547, 9192, 519, 2164, 689, 2789, 2090, 538, 606, 4674, 547, 2333, 1379, 630, 1478, 1367, 2090, 1070, 2087, 9193, 540, 519, 2450, 540, 519, 1198, 543, 5924, 547, 8207, 10462, 950, 5359, 10990, 12282, 644, 8540, 7125, 1500, 538, 11264, 513, 13849, 20400, 949, 1860, 519, 2164, 269, 589, 13849, 20400, 568, 513, 8579, 7650, 540, 519, 2164, 689, 835, 610, 811, 9836, 8039, 16638, 1840, 547, 3246, 606, 7447, 540, 519, 7164, 1455, 5168, 267, 13849, 20400, 814, 519, 4390, 547, 4334, 2164, 689, 1114, 2090, 543, 2697, 3270, 1851, 1353, 2164, 267, 2959, 540, 24895, 1851, 1346, 2164, 267, 610, 824, 4277, 3347, 602, 949, 2097, 547, 1769, 538, 519, 2796, 540, 2789, 2090, 6993, 1883, 4324, 540, 713, 1935, 568, 519, 30843, 540, 1344, 3056, 547, 513, 2362, 8579, 1379, 543, 811, 7347, 1448, 7447, 982, 568, 2009, 689, 519, 2268, 6508, 689, 1022, 1367, 1353, 269, 7709, 291, 2963, 4564, 6151, 1239, 607, 6394, 676, 519, 1353, 7740, 20136, 11984, 814, 6659, 519, 991, 585, 1114, 13849, 12845, 24608, 2409, 950, 2963, 10282, 568, 5551, 267, 543, 814, 3366, 547, 519, 1646, 540, 835, 22533, 543, 1079, 22533, 2409, 269, 0, 26877, 755, 1674, 540, 519, 20979, 18410, 565, 924, 18463, 267, 610 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8564, 3490, 9424, 692, 263, 274, 264, 30770, 3490, 25317, 692, 263, 275, 264, 634, 829, 15492, 25317, 568, 1384, 263, 276, 264, 20587, 25317, 1384, 263, 277, 264, 3131, 15492, 6697, 5547, 1384, 2304, 5122, 17689, 568, 15951, 476, 6344, 24311, 267, 476, 4335, 26334, 269, 1403, 519, 6453, 4294, 2066, 519, 17689, 568, 7466, 519, 15951, 1871, 267, 12337, 519, 1699, 602, 8928, 998, 519, 17689, 269, 2422, 519, 829, 15492, 1505, 780, 11405, 1384, 763, 829, 15492, 6697, 5547, 568, 607, 5205, 1384, 8110, 15492, 3590, 585, 476, 272, 268, 19569, 355, 27989, 692, 3080, 25686, 11387, 692, 3602, 692, 5353, 3005, 476, 272, 692, 10190, 692, 5353, 3005, 476, 273, 692, 10190, 692, 2108, 272, 892, 1107, 2025, 692, 2108, 273, 892, 910, 1007, 692, 23744, 829, 15492, 2418, 2016, 547, 1776, 3490, 666, 581, 10736, 547, 1007, 3490, 676, 676, 519, 4834, 1384, 2691, 7900, 9273, 538, 513, 1379, 1062, 267, 1169, 829, 15492, 1871, 1590, 581, 10736, 547, 519, 1482, 3490, 780, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 13706, 519, 6697, 5547, 540, 22155, 5219, 547, 700, 309, 2427, 543, 22671, 2427, 3254, 2630, 1384, 31711, 692, 263, 272, 264, 28582, 1042, 547, 700, 309, 2427, 692, 263, 273, 264, 28582, 1042, 547, 22671, 2427, 692, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 16521, 1384, 31863, 3442, 15951, 2418, 607, 3490, 2418, 692, 15253, 1393, 1384, 8110, 15492, 3590, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8110, 15492, 15641, 1734, 616, 1384, 8110, 15492, 6697, 11387, 540, 22155, 5219, 547, 700, 309, 2427, 543, 22671, 2427, 616, 9838, 8206, 2439, 3383, 1384, 8110, 15492, 26169, 269, 595, 19241, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8993, 476, 272, 269, 26169, 595, 19241, 5219, 547, 700, 309, 2427, 692, 8993, 476, 273, 269, 3131, 15492, 26169, 595, 19241, 5219, 547, 700, 309, 2427, 8431, 476, 274, 780, 8110, 15492, 26169, 269, 595, 19241, 585, 476, 272, 268, 22933, 355, 17992, 518, 692, 8993, 476, 275, 269, 26169, 595, 19241, 5219, 547, 22671, 2427, 692, 8993, 476, 276, 269, 3131, 15492, 26169, 595, 19241, 5219, 547, 22671, 2427, 8431, 476, 277, 780, 14157, 5653, 7939, 568, 3989, 607, 1384, 1103, 829, 15492, 1062, 1384, 309, 21459, 2000, 1933, 281, 2677, 1600, 4452, 6453, 693, 2407, 4452, 269, 898, 949, 581, 3160, 547, 267, 1657, 267, 610, 2630, 15951, 6453, 692, 309, 7224, 2000, 1933, 281, 634, 1100, 4452, 6453, 950, 519, 3119, 6453, 568, 519, 5551, 6453, 538, 1931, 519, 6281, 6453, 581, 693, 922, 5551, 1871, 693, 2407, 4452, 692, 288, 2582, 25686, 22155, 15951, 476, 1220, 10275, 22849, 267, 476, 1220, 270, 6110, 13305, 267, 543, 476, 1015, 260, 2110, 5547, 2746, 766, 269, 30770, 519, 15283, 950, 519, 22155, 568, 4628, 16041, 693, 9322, 21668, 543, 15951, 6453, 476, 6110, 13305, 780, 11405, 1384, 8993, 476, 278, 269, 3131, 15492, 6697, 5547, 692, 305, 730, 6453, 1384, 13553, 776, 2427, 1384, 14157, 5653, 7939, 1384, 294, 692, 736, 737, 309, 692, 2420, 330, 309, 270, 13136, 330, 309, 692, 3199, 300, 22849, 692, 1691, 30515, 13136, 330, 309, 270, 736, 330, 309, 692, 2004, 300, 22849, 692, 1015, 30515, 2004, 300, 22849, 692, 271, 269, 279, 21668, 18848, 3101, 692, 15675, 966, 19668, 538, 11718, 5547, 543, 590, 321, 284, 1911, 300, 22849, 267, 12337, 533, 269, 340, 269, 6697, 5547, 780, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 27989, 692, 16248, 25686, 11387, 692, 3602, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 27989, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 16248, 476, 1839, 10275, 22849, 267, 476, 24833, 876, 270, 28071, 13305, 2981, 619, 4448, 538, 19569, 482, 268, 312, 269, 10374, 2275, 1844, 3726, 1449, 593, 1164, 6453, 2427, 1384, 29991, 519, 829, 15492, 6697, 5547, 540, 519, 22155, 780, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 5416, 264, 4635, 962, 25668, 20884, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 3383, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 6357, 264, 4635, 19569, 482, 268, 3225, 20884, 692, 8110, 15492, 3590, 585, 476, 274, 268, 22933, 355, 17992, 518, 692, 3383, 692, 1892, 8791, 476, 273, 269, 277, 543, 476, 273, 269, 278, 267, 2985, 476, 10695, 349, 3445, 267, 28331, 2006, 1433, 692, 1892, 8791, 476, 273, 269, 1015, 267, 2985, 476, 13647, 349, 14138, 267, 28331, 2006, 1433, 0, 258, 1215, 547, 3313, 23451, 585, 1617, 21725, 7533, 936, 18232, 1599, 692, 3674, 972, 513, 2489, 1935, 585, 7829, 519, 5610, 630, 663, 811, 4481, 267, 5466, 519, 7182, 264, 540, 2489, 1617, 21725, 3252, 1519, 513, 630, 20123, 21725, 264, 18232, 1599, 286, 594, 15475, 519, 1034, 2489, 1106, 5654, 899, 6695, 4512, 842, 318, 17682, 3287, 11971, 267, 345, 9385, 23169, 14116, 3287, 11971, 267, 345, 4297, 11459, 11276, 323, 345, 9681, 19284, 538, 519, 2013, 540, 5564, 21725, 29398, 5473, 4144, 2350, 18232, 3252, 267, 621, 4667, 2009, 602, 4470, 593, 519, 1106, 540, 1269, 326, 3287, 11971, 267, 345, 7751, 543, 1269, 288, 8961, 835, 1522, 723, 547, 1689, 519, 7182, 540, 5610, 593, 519, 6967, 29398, 269, 630, 2690, 1383, 267, 538, 602, 2013, 267, 1018, 4523, 547, 519, 7182, 540, 519, 1101, 7533, 952, 519, 18232, 1599, 5654, 899, 4399, 23169, 12169, 268, 274, 343, 7751, 286, 2020, 1103, 1250, 1808, 2013, 267, 594, 723, 513, 1305, 540, 1269, 333, 259, 29398, 602, 1413, 899, 6695, 842, 318, 271, 23373, 18773, 24303, 23373, 18905, 315, 842, 318, 271, 3867, 339, 23373, 18905, 348, 19049, 17353, 18905, 315, 18905, 4153, 842, 318, 271, 3867, 339, 17353, 18905, 315, 18905, 3686, 19049, 17353, 18905, 315, 18905, 315, 18905, 4153, 24126, 315, 842, 318, 271, 3867, 339, 17353, 18905, 3867, 333, 268, 272, 3686, 348, 19049, 17353, 18905, 18898, 348, 31046, 325, 14116, 7268, 346, 339, 315, 348, 9385, 23169, 6262, 910, 575, 7268, 346, 339, 315, 348, 4297, 2330, 609, 3230, 326, 7268, 346, 339, 315, 348, 6661, 339, 23373, 18905, 2389, 17353, 18905, 315, 18905, 15396, 339, 17353, 18905, 315, 18905, 315, 18905, 32757, 24126, 2330, 543, 3230, 325, 14116, 7268, 346, 339, 315, 348, 4297, 815, 552, 13064, 16936, 7268, 346, 339, 315, 348, 14587, 324, 13064, 333, 7268, 18773, 3766, 7268, 346, 339, 315, 348, 4297, 13157, 324, 13064, 332, 6025, 23373, 18905, 2389, 17353, 18905, 315, 18905, 23180, 24126, 14587, 324, 13064, 333, 7268, 18773, 910, 512, 23373, 18905, 1341, 512, 17353, 18905, 315, 18905, 348, 910, 1422, 24126, 264, 6525, 543, 922, 711, 2312, 547, 803, 875, 547, 1935, 713, 780, 12552, 2439, 31171, 281, 2991, 2324, 998, 519, 1101, 19625, 540, 1269, 333, 259, 262, 338, 267, 621, 781, 7805, 602, 519, 2626, 568, 2469, 547, 1413, 899, 3230, 324, 13064, 32508, 348, 324, 13064, 333, 7268, 18773, 2275, 264, 4153, 2765, 18950, 322, 7268, 18773, 2275, 4297, 3867, 263, 333, 268, 272, 8358, 273, 12453, 9230, 333, 268, 272, 8358, 273, 25631, 8203, 273, 4153, 3667, 346, 952, 7684, 333, 20728, 346, 9642, 15732, 663, 3230, 324, 13064, 32508, 348, 324, 13064, 333, 7268, 18773, 2275, 264, 4153, 2765, 26231, 3867, 333, 270, 273, 32710, 18773, 2275, 4297, 3867, 333, 270, 273, 268, 272, 12453, 263, 333, 270, 273, 268, 272, 25631, 263, 333, 270, 273, 25631, 4153, 3667, 346, 952, 7684, 333, 20728, 346, 1256, 6525, 855, 875, 835, 1131, 1205, 689, 972, 547, 1934, 267, 1256, 7646, 569, 22759, 3585, 267, 568, 3564, 803, 780, 268 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 609, 31931, 540, 811, 982, 476, 736, 2600, 1185, 1044, 29959, 269, 769, 476, 2735, 280, 513, 3492, 15249, 3859, 1591, 538, 799, 7943, 729, 13671, 5196, 519, 1591, 2627, 676, 1797, 540, 14485, 6913, 606, 4398, 540, 476, 4391, 2600, 19962, 547, 519, 2799, 8515, 540, 519, 6394, 1648, 269, 1635, 8220, 2281, 540, 1114, 15373, 832, 1904, 1227, 543, 30788, 538, 3126, 267, 1256, 2362, 31931, 616, 2009, 267, 855, 693, 2799, 1942, 543, 3773, 6988, 269, 769, 2489, 267, 3859, 2281, 540, 4922, 8795, 31931, 543, 1942, 616, 1631, 2139, 563, 1432, 1500, 596, 1616, 547, 1413, 909, 834, 338, 6897, 1591, 22172, 7490, 2671, 1018, 14281, 596, 1034, 1862, 0, 28049, 5678, 19019, 454, 2026, 513, 4168, 4065, 26323, 267, 649, 1745, 602, 1565, 513, 4914, 1893, 568, 606, 1271, 1259, 585, 1053, 547, 2333, 538, 741, 5692, 16490, 1145, 269, 901, 3947, 873, 519, 2645, 2556, 547, 1599, 1732, 538, 2486, 267, 607, 1134, 607, 5965, 873, 585, 513, 10715, 7029, 547, 2696, 267, 543, 513, 2295, 585, 13485, 563, 22137, 723, 3254, 602, 3450, 5053, 610, 1022, 2034, 1893, 547, 1453, 693, 606, 2038, 2085, 7494, 10607, 741, 8458, 540, 8236, 21711, 543, 513, 5065, 6438, 20020, 269, 1656, 267, 540, 1576, 267, 519, 4324, 540, 2348, 513, 1114, 7828, 689, 799, 547, 2070, 543, 1995, 519, 1158, 568, 513, 8748, 10516, 585, 513, 1126, 269, 769, 1249, 267, 782, 540, 519, 3621, 2963, 2798, 547, 1453, 2348, 4986, 547, 6336, 543, 3388, 547, 2744, 676, 1565, 513, 4914, 1893, 563, 2171, 946, 513, 2101, 25422, 8153, 2780, 3301, 269, 901, 3301, 1982, 18252, 513, 4999, 540, 2592, 267, 1257, 267, 543, 3280, 267, 609, 7411, 2157, 2810, 607, 519, 2875, 22264, 267, 538, 1931, 547, 4001, 1585, 6863, 2474, 543, 21342, 3252, 16022, 569, 267, 1510, 24200, 610, 8144, 269, 634, 3804, 568, 547, 4001, 4654, 519, 1259, 1453, 1451, 741, 1101, 1893, 563, 9989, 3450, 5053, 547, 1453, 17225, 741, 2542, 2702, 888, 288, 5929, 543, 3102, 1353, 3370, 538, 519, 7073, 5678, 4750, 543, 17298, 676, 3220, 269, 570, 5861, 269, 23101, 607, 2038, 607, 476, 2735, 278, 4951, 602, 834, 1492, 3259, 540, 4914, 1893, 1353, 257, 729, 606, 1271, 4756, 538, 17782, 20389, 2773, 269, 634, 5441, 8274, 267, 799, 14721, 8651, 519, 20389, 267, 13847, 513, 8579, 1867, 4758, 1344, 827, 20389, 2773, 2066, 519, 2197, 269, 5729, 1310, 1032, 519, 2164, 616, 2147, 269, 1306, 5063, 607, 476, 1220, 277, 267, 20650, 609, 2185, 610, 811, 1296, 540, 1893, 1353, 30714, 936, 476, 2004, 2798, 2362, 538, 519, 11879, 7335, 3296, 540, 519, 20389, 982, 1346, 945, 1185, 1152, 513, 3368, 1032, 610, 1447, 540, 4914, 1893, 563, 1432, 827, 3450, 5053, 2038, 286, 4804, 513, 2034, 1893, 8325, 839, 513, 1126, 781, 4656, 267, 1983, 543, 6165, 585, 519, 1126, 781, 1101, 1893, 269, 3194, 693, 519, 10026, 1153, 1377, 2982, 519, 1482, 3466, 540, 2362, 1449, 2773, 269, 769, 17039, 267, 513, 1353, 540, 476, 1724, 267, 1220, 3791, 543, 11359, 3446, 1453, 7000, 602, 1453, 945, 1491, 4914, 1893, 5049, 1705, 1732, 538, 519, 2296, 3296, 540, 519, 17039, 9978, 10341, 4530, 982, 1346, 945, 1185, 711, 6594, 513, 4914, 1893, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15703, 2825, 3906, 723, 1572, 593, 519, 3864, 5742, 630, 31323, 264, 547, 3247, 6915, 325, 3241, 9072, 267, 538, 5114, 547, 5571, 16395, 1851, 519, 476, 2767, 4759, 2829, 593, 4808, 585, 519, 2504, 540, 10173, 689, 13947, 269, 630, 546, 11985, 12467, 6944, 9009, 547, 9167, 3853, 267, 6915, 325, 3241, 2504, 1223, 5305, 811, 8511, 9362, 543, 11874, 1860, 2470, 543, 3425, 267, 2825, 15628, 971, 607, 5682, 701, 864, 543, 14886, 540, 519, 3047, 563, 763, 9167, 6663, 547, 6318, 519, 2671, 540, 6915, 325, 3241, 1851, 2698, 4616, 540, 6283, 4492, 547, 4557, 829, 1298, 676, 476, 1708, 271, 563, 27396, 1218, 538, 519, 16395, 2161, 519, 9167, 568, 1869, 547, 1865, 519, 2450, 540, 519, 9806, 538, 3327, 5434, 676, 1210, 6915, 325, 3241, 267, 4304, 1063, 476, 3374, 547, 476, 2004, 829, 1298, 269, 0, 763, 2098, 328, 11986, 11206, 630, 12262, 1070, 1732, 1634, 607, 519, 32760, 11206, 267, 568, 513, 9341, 4104, 2282, 9980, 20623, 2041, 538, 24063, 269, 2098, 328, 11986, 1797, 834, 1478, 326, 3497, 257, 538, 519, 700, 1872, 7701, 1893, 269, 1306, 519, 3959, 540, 519, 24063, 24295, 3194, 4659, 630, 10013, 6020, 264, 540, 9980, 20623, 2041, 267, 621, 568, 6870, 543, 11658, 547, 3621, 1382, 563, 763, 4104, 6227, 606, 1858, 540, 827, 476, 1839, 25614, 630, 7830, 14143, 264, 1985, 547, 519, 2220, 10102, 540, 654, 2967, 5984, 7345, 267, 606, 29504, 540, 8235, 15117, 269, 31418, 1176, 3015, 543, 9256, 1896, 8134, 267, 519, 32760, 11206, 568, 1134, 14018, 547, 519, 1353, 540, 19498, 269, 4340, 547, 519, 11158, 6020, 267, 519, 2450, 540, 519, 1382, 1858, 540, 519, 4104, 568, 827, 476, 1321, 25614, 630, 1789, 14143, 1040, 634, 4104, 814, 513, 3638, 9265, 538, 2371, 543, 29700, 267, 543, 568, 1753, 547, 827, 476, 2412, 2010, 540, 19498, 269, 634, 11158, 6020, 849, 15387, 606, 5521, 10740, 563, 763, 32760, 11206, 568, 1141, 519, 7783, 589, 26433, 17018, 10181, 334, 1101, 3262, 32760, 547, 681, 1127, 639, 3933, 12399, 267, 10825, 593, 1721, 628, 547, 5274, 2142, 902, 563, 20059, 580, 725, 540, 19498, 693, 32760, 3323, 538, 476, 3707, 277, 607, 851, 540, 519, 1353, 540, 1480, 5835, 8611, 693, 519, 14117, 674, 1197, 3194, 4659, 630, 1066, 3139, 5101, 3979, 24295, 3194, 4659, 538, 476, 4198, 271, 267, 543, 1287, 24063, 24295, 3194, 4659, 538, 476, 3192, 278, 1070, 3964, 538, 9980, 20623, 2041, 267, 24063, 538, 476, 4350, 277, 676, 519, 18842, 651, 325, 11839, 7690, 269, 769, 476, 3707, 278, 267, 519, 32760, 3644, 729, 9678, 689, 513, 678, 1127, 639, 24564, 6728, 539, 693, 32760, 269, 769, 476, 3422, 271, 267, 513, 476, 3607, 269, 277, 31475, 516, 630, 6344, 268, 1111, 264, 5374, 13486, 729, 6410, 689, 631, 335, 18553, 11206, 547, 32760, 547, 1353, 519, 7299, 3892, 540, 19498, 267, 3850, 585, 513, 3102, 1353, 540, 519, 18151, 2551, 538, 476, 3422, 275, 269, 769, 602, 1482, 1032, 267, 519, 32760, 3644, 729, 4857, 689, 513, 6394, 589, 26433, 19052, 639, 3732, 269, 3143, 6296, 18151, 10070, 941, 5340, 585, 827, 519, 1985, 2185, 5756, 267, 1247, 1480, 2238, 1958, 549, 3737, 593, 519, 4104, 269, 1323, 8242, 18151, 4015, 6368, 3576, 1747, 538, 476, 1220, 280, 543, 476, 1001, 271, 563, 268, 918, 5417, 636, 4157, 14505, 267, 631, 269, 589, 5919, 631, 1393, 6798, 267, 808, 11607, 303, 5919, 700, 583, 342, 4821, 267, 808, 269, 808, 5919, 16549, 655, 2041, 267, 595, 5919, 13019, 565, 267, 589, 269, 631, 269, 630, 2918, 5412, 476, 1001, 276, 1040, 834, 300, 657, 10181, 3996, 540, 32760, 11206, 267, 24063, 281, 15661, 23531, 543, 28731, 2806, 1495, 766, 2668, 4750, 540, 6481, 9980, 558, 1108, 269, 476, 7906, 630, 272, 2567, 476, 10441, 1700, 13647, 269, 8222, 281, 1015, 269, 8182, 274, 270, 10933, 14338, 7597, 269, 31192, 476, 16573, 273, 268, 28670, 276, 269, 20163, 476, 26727, 4962, 275, 6795, 563, 268, 834, 4910, 1545, 543, 11120, 1988, 2668, 4972, 540, 9980, 558, 1108, 269, 24063, 24295, 3194, 4659, 269, 476, 275, 5988, 476, 1001, 275, 269, 8158, 476, 2641, 4989, 476, 1001, 277, 563, 268, 15917, 525, 267, 11977, 645, 269, 630, 20826, 476, 1220, 280, 1040, 834, 313, 11986, 24295, 31072, 4000, 2668, 24021, 29956, 15302, 269, 476, 1428, 630, 280, 2567, 476, 16328, 278, 1700, 13670, 271, 269, 8222, 281, 1015, 269, 17168, 272, 27160, 573, 5611, 280, 269, 271, 3445, 4510, 273, 269, 31192, 476, 10482, 271, 268, 2568, 275, 271, 269, 6751, 290, 1547, 20163, 476, 3192, 31229, 876, 563, 268, 16299, 267, 717, 15030, 6993, 282, 28881, 267, 590, 12171, 282, 670, 5417, 578, 267, 589, 12282, 630, 272, 5181, 476, 4198, 273, 1040, 834, 313, 11986, 24295, 630, 296, 1040, 1772, 565, 725, 543, 1583, 1670, 23506, 2668, 3690, 13905, 540, 519, 9576, 5980, 540, 23427, 6925, 543, 30719, 269, 476, 5379, 630, 276, 2567, 476, 2004, 280, 1700, 26392, 269, 8222, 281, 1015, 269, 6200, 277, 270, 19740, 276, 268, 280, 736, 274, 263, 7367, 264, 12010, 5655, 268, 275, 269, 31192, 476, 19740, 276, 268, 280, 736, 274, 269, 20163, 476, 15782, 4817, 275, 2412, 563, 268, 670, 5417, 578, 267, 589, 12282, 5919, 13879, 267, 631, 5861, 5919, 8381, 718, 267, 808, 10422, 5919, 1696, 620, 269, 630, 3422, 275, 1040, 834, 23562, 10679, 5248, 725, 540, 32760, 3644, 689, 589, 26433, 630, 17556, 326, 3912, 807, 264, 19052, 639, 630, 763, 2128, 323, 264, 3144, 538, 543, 1657, 513, 24063, 4104, 2668, 28743, 540, 519, 2622, 2657, 9257, 269, 476, 4029, 630, 272, 2567, 476, 6872, 1700, 7597, 269, 6751, 290, 1547, 20163, 476, 16318, 28143, 4817, 563, 268, 31881, 6390, 267, 7638, 517, 3821, 282, 932, 3430, 340, 267, 966, 6359, 599, 27958, 282, 7377, 2993, 267, 14780, 1690, 918, 5919, 1696, 620, 269, 630, 1556, 5988, 476, 1001, 277, 1040, 834, 763, 11944, 540, 1990, 11986, 3644, 607, 513, 2518, 1072, 3354, 3463, 281, 589, 2689, 543, 513, 13618, 3948, 540, 519, 28960, 4785, 4932, 17434, 2324, 6828, 630, 297, 310, 294, 29215, 4750, 540, 6820, 29956, 15302, 269, 476, 279, 630, 272, 2567, 476, 274, 1700, 1428, 269, 8222, 281, 1015, 269, 25148, 274, 270, 6021, 278, 275, 268, 6507, 278, 311, 269, 12293, 9610, 269, 31192, 476, 6021, 278, 275, 268, 279, 2190, 276, 269, 6751, 290, 1547, 20163, 476, 17734, 15946, 4375, 563, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 32760, 269, 347, 0, 763, 8419, 4972, 540, 2657, 814, 4080, 519, 1101, 2669, 538, 8419, 11911, 547, 519, 2220, 710, 2770, 269, 589, 8370, 4458, 2025, 7911, 689, 3162, 8419, 729, 519, 1101, 540, 519, 476, 275, 1704, 4080, 2665, 547, 723, 13151, 3518, 539, 547, 519, 670, 272, 301, 272, 3644, 563, 20776, 613, 517, 4937, 3220, 269, 27118, 966, 3554, 517, 974, 14472, 4080, 912, 257, 4407, 1034, 2665, 540, 670, 272, 301, 272, 2220, 710, 2770, 616, 7646, 267, 972, 616, 17756, 899, 713, 13249, 2013, 269, 13780, 958, 267, 519, 15509, 568, 8989, 476, 3393, 7972, 2404, 609, 2220, 710, 2770, 267, 543, 607, 519, 2770, 22264, 602, 1297, 786, 19890, 4473, 4799, 763, 2622, 2657, 9257, 568, 10912, 519, 3262, 540, 519, 670, 272, 301, 272, 3644, 513, 6855, 267, 2495, 602, 621, 814, 1631, 3262, 1158, 17253, 269, 634, 8833, 540, 519, 2770, 568, 711, 607, 14686, 607, 621, 729, 8385, 2219, 543, 2951, 6840, 1472, 519, 8608, 666, 948, 3247, 519, 6855, 676, 2921, 519, 1739, 15416, 912, 268, 25169, 3946, 4749, 543, 2057, 15700, 707, 4064, 267, 9224, 543, 5023, 563, 268, 3680, 2673, 3346, 609, 1004, 945, 616, 23472, 610, 6382, 2408, 2192, 563, 268, 13773, 1753, 689, 960, 610, 1153, 952, 596, 723, 513, 7929, 4576, 563, 268, 25175, 945, 14659, 646, 610, 1352, 814, 14798, 1058, 1289, 741, 4387, 269, 0, 27751, 281, 513, 1867, 3370, 676, 513, 1153, 610, 824, 9872, 267, 2356, 22921, 1369, 513, 3126, 563, 22998, 1957, 281, 11554, 4574, 2270, 2164, 4843, 676, 519, 2278, 269, 11554, 4574, 2832, 547, 12954, 5717, 1063, 3744, 609, 5461, 6105, 267, 789, 666, 849, 581, 519, 4493, 547, 15476, 4930, 538, 7463, 13746, 454, 8794, 519, 18230, 2551, 11578, 585, 1382, 883, 5619, 12191, 454, 8310, 14842, 4266, 0, 14503, 1662, 11568, 538, 17323, 1546, 1188, 630, 10619, 2187, 8489, 616, 22747, 1034, 2693, 547, 581, 1336, 454, 4002, 519, 6302, 540, 29684, 10824, 610, 1419, 593, 519, 5032, 338, 540, 17407, 610, 2477, 563, 1432, 4386, 693, 513, 16160, 15027, 14345, 454, 763, 1447, 10053, 30173, 12933, 1793, 2354, 896, 519, 18626, 12933, 543, 519, 11508, 2813, 5283, 1206, 519, 4224, 7432, 621, 883, 29351, 267, 799, 22534, 20733, 2509, 519, 2627, 563, 1432, 4386, 693, 513, 16268, 15027, 14345, 454, 763, 1079, 10824, 1847, 538, 6587, 8846, 6028, 513, 1463, 2619, 547, 519, 2627, 585, 519, 29351, 9944, 519, 12933, 269, 901, 23419, 1287, 3579, 338, 547, 1106, 513, 9543, 21758, 25170, 454, 1432, 568, 11849, 2887, 454, 288, 1587, 540, 513, 18962, 799, 666, 3382, 811, 3845, 543, 581, 811, 16160, 2949, 1287, 23419, 1813, 547, 922, 10373, 2597, 950, 538, 2527, 563, 1432, 568, 513, 13104, 18962, 454, 288, 9543, 21758, 18962, 799, 3029, 950, 23419, 694, 10134, 883, 519, 12933, 543, 1287, 19082, 936, 519, 5251, 563, 1432, 568, 513, 12432, 18962, 454, 288, 14869, 21758, 18962, 799, 3029, 950, 519, 23419, 22534, 856, 519, 28188, 543, 1287, 4396, 5809, 593, 519, 19527, 540, 519, 7823, 563, 1432, 568, 513, 1608, 1457, 320, 454, 288, 18962, 799, 814, 513, 1804, 28188, 693, 519, 1283, 1310, 519, 18962, 25540, 593, 3294, 1282, 513, 10795, 20349, 563, 1432, 568, 616, 703, 28424, 543, 970, 28424, 5337, 15667, 7725, 563, 266, 842, 28424, 5337, 15667, 4224, 568, 4646, 950, 29351, 3330, 519, 18962, 3579, 338, 538, 519, 29351, 12068, 267, 2870, 14848, 563, 266, 970, 28424, 5337, 15667, 4224, 568, 4646, 950, 23419, 3579, 338, 3533, 593, 519, 2627, 1310, 606, 20349, 563, 3918, 309, 30990, 631, 5495, 18199, 5254, 269, 670, 5085, 27602, 595, 17955, 29898, 454, 1692, 666, 15027, 26706, 581, 17191, 563, 266, 519, 2627, 3587, 12699, 607, 519, 8375, 29351, 2501, 883, 3346, 609, 621, 630, 17742, 5498, 22701, 12514, 994, 266, 16767, 2049, 1813, 547, 519, 2179, 540, 23419, 3001, 9944, 519, 2627, 630, 572, 1143, 18852, 994, 266, 4439, 2471, 543, 2220, 20635, 2408, 607, 29351, 18616, 630, 339, 2830, 7397, 547, 1294, 952, 9386, 814, 4957, 994, 266, 9252, 2501, 856, 519, 18962, 607, 519, 29351, 18616, 454, 3963, 798, 1004, 2661, 538, 15027, 2127, 454, 266, 15417, 2244, 454, 266, 2799, 9235, 454, 266, 24232, 1648, 454, 266, 3407, 8407, 616, 3812, 676, 22747, 454, 1432, 616, 19020, 4332, 2557, 543, 19020, 2669, 2557, 454, 266, 9197, 8775, 4332, 2557, 568, 519, 9002, 4535, 538, 1032, 829, 8536, 2551, 454, 266, 9197, 8775, 2669, 2557, 568, 7972, 1142, 1032, 829, 8536, 2551, 563, 1432, 616, 2489, 12680, 543, 10867, 9019, 454, 266, 4937, 12680, 568, 519, 5993, 2661, 24570, 829, 8536, 2021, 454, 266, 23862, 9019, 568, 519, 2669, 540, 896, 835, 1032, 31545, 1142, 1032, 829, 8536, 2661, 24570, 454, 1432, 616, 1272, 19104, 543, 4096, 3599, 5223, 454, 266, 1272, 19104, 568, 519, 3328, 14438, 540, 513, 2551, 454, 266, 4096, 3599, 5223, 568, 9819, 1759, 593, 1453, 27160, 1595, 1227, 3742, 563, 1432, 616, 2551, 14829, 543, 2067, 2333, 454, 266, 2551, 2333, 568, 519, 2698, 1293, 540, 1004, 538, 513, 1978, 1858, 454, 266, 2067, 2333, 568, 519, 4332, 2557, 14263, 519, 2669, 2557, 454, 1432, 568, 513, 1480, 2551, 5860, 3815, 454, 288, 3815, 602, 2306, 513, 2551, 2901, 1164, 610, 1970, 602, 568, 812, 13402, 971, 607, 2229, 6617, 563, 1432, 568, 513, 2168, 2551, 3815, 454, 288, 3815, 602, 2306, 513, 2551, 5860, 1164, 610, 1970, 602, 568, 5462, 676, 513, 2197, 779, 2168, 2934, 971, 607, 8323, 563, 1432, 616, 930, 1480, 2188, 585, 513, 1164, 610, 1970, 2551, 5860, 454, 266, 1164, 281, 1434, 2816, 3255, 538, 1630, 4040, 6080, 267, 7123, 2229, 543, 1004, 899, 547, 2661, 2282, 1514, 2516, 563, 266, 1970, 281, 18633, 2229, 267, 3908, 2816, 3255, 610, 789, 616, 693, 2112, 563, 1626, 543, 1174, 616, 1634, 607, 454, 763, 1762, 4096, 1218, 454 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1630, 1961, 8457, 8544, 15879, 454, 825, 1948, 1372, 743, 541, 659, 7776, 632, 642, 7559, 557, 529, 454, 825, 9206, 318, 1260, 5866, 30648, 1729, 284, 271, 1363, 1948, 10922, 476, 272, 454, 825, 9206, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 284, 271, 567, 1948, 3436, 272, 30974, 10922, 276, 454, 825, 9206, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 284, 271, 567, 1948, 3436, 276, 30974, 10922, 1015, 454, 825, 9206, 318, 1260, 5866, 9078, 21789, 284, 271, 1363, 1948, 3436, 1015, 22562, 825, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 271, 1038, 1948, 10922, 476, 272, 454, 825, 9206, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 284, 271, 476, 1948, 3436, 272, 30974, 10922, 275, 454, 825, 9206, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 284, 271, 476, 1948, 3436, 275, 30974, 10922, 278, 454, 825, 9206, 6958, 656, 553, 2742, 9078, 21789, 284, 271, 1038, 1948, 3436, 278, 22562, 825, 9206, 318, 4364, 334, 30648, 1729, 284, 271, 1948, 10922, 276, 454, 825, 9206, 318, 4364, 334, 318, 4364, 1470, 284, 271, 1948, 3436, 276, 30974, 10922, 1015, 454, 825, 9206, 318, 4364, 334, 9078, 21789, 284, 271, 1948, 3436, 1015, 22562, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 271, 1948, 3067, 573, 1228, 10922, 2039, 476, 277, 454, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 271, 1948, 3067, 573, 1228, 3436, 2039, 476, 277, 30974, 10922, 1015, 22562, 825, 1948, 9188, 322, 984, 337, 597, 513, 1253, 4545, 807, 13005, 635, 5866, 544, 9820, 9938, 9874, 454, 825, 5903, 4467, 5866, 284, 1245, 15933, 269, 553, 8266, 4590, 825, 5903, 4467, 5866, 31699, 10857, 10033, 1535, 11971, 281, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 1535, 9984, 583, 559, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 586, 4917, 825, 5940, 4545, 807, 4467, 5866, 284, 583, 559, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 5903, 4467, 5866, 314, 271, 7481, 8931, 825, 1948, 3553, 541, 27089, 1630, 1961, 8457, 16948, 635, 5866, 454, 825, 952, 263, 18850, 4545, 807, 4467, 5866, 27045, 272, 2187, 1038, 9206, 318, 1260, 5866, 30648, 1729, 284, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 272, 543, 5940, 4545, 807, 4467, 5866, 27045, 276, 476, 2187, 1038, 9206, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 815, 476, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 276, 543, 5940, 4545, 807, 4467, 5866, 27045, 1015, 476, 2187, 1038, 9206, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 815, 476, 272, 454, 825, 8640, 263, 18850, 4545, 807, 4467, 5866, 285, 1015, 2187, 1038, 9206, 318, 1260, 5866, 9078, 21789, 815, 476, 272, 28329, 825, 1948, 3553, 541, 27089, 546, 553, 1253, 534, 857, 553, 798, 6720, 553, 2742, 454, 825, 30142, 3821, 334, 293, 656, 553, 2742, 17342, 294, 10676, 10947, 303, 3789, 3890, 585, 26415, 538, 1007, 294, 10676, 1805, 919, 2639, 825, 952, 7003, 27456, 657, 3821, 334, 293, 656, 553, 2742, 264, 2652, 271, 2433, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 272, 454, 825, 3116, 281, 3097, 1038, 30142, 3821, 334, 293, 656, 553, 2742, 31699, 10857, 10033, 1535, 11971, 281, 771, 290, 5404, 3287, 11971, 267, 2908, 303, 657, 4917, 1038, 5940, 4545, 807, 293, 656, 553, 2742, 815, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 30142, 3821, 334, 293, 656, 553, 2742, 314, 271, 7481, 1038, 5940, 4545, 807, 293, 656, 553, 2742, 273, 815, 3351, 269, 2006, 21908, 291, 2700, 28956, 303, 657, 267, 30142, 3821, 334, 293, 656, 553, 2742, 314, 272, 7481, 13872, 1038, 952, 5940, 4545, 807, 293, 656, 553, 2742, 2525, 271, 281, 3097, 2018, 1948, 1721, 8619, 6060, 9299, 562, 684, 8619, 1583, 1965, 3712, 327, 18480, 3267, 1583, 807, 3352, 632, 679, 4186, 549, 513, 334, 6720, 553, 2742, 454, 2018, 2132, 910, 4200, 3097, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 27045, 272, 2187, 2018, 9206, 6958, 656, 553, 2742, 30648, 1729, 284, 272, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 272, 543, 5940, 4545, 807, 293, 656, 553, 2742, 27045, 275, 2187, 2018, 9206, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 284, 272, 825, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 275, 543, 5940, 4545, 807, 293, 656, 553, 2742, 27045, 278, 2187, 2018, 9206, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 284, 272, 825, 454, 1038, 8640, 263, 18850, 4545, 807, 293, 656, 553, 2742, 285, 278, 2187, 2018, 9206, 6958, 656, 553, 2742, 9078, 21789, 284, 272, 825, 28329, 825, 1948, 3553, 541, 27089, 798, 1199, 334, 798, 6720, 553, 2742, 454, 825, 6720, 553, 2742, 318, 4364, 334, 815, 1295, 28956, 9928, 1563, 307, 1307, 994, 825, 952, 6600, 656, 553, 2742, 318, 4364, 334, 27045, 274, 2187, 1038, 9206, 318, 4364, 334, 30648, 1729, 284, 272, 454, 825, 8640, 6600, 656, 553, 2742, 318, 4364, 334, 285, 274, 543, 6720, 553, 2742, 318, 4364, 334, 27045, 278, 476, 2187, 1038, 9206, 318, 4364, 334, 318, 4364, 1470, 815, 476, 272, 454, 825, 8640, 6600, 656, 553, 2742, 318, 4364, 334, 285, 1015, 476, 2187, 1038, 9206, 318, 4364, 334, 9078, 21789, 815, 476, 272, 692, 825, 1948, 3553, 541, 522, 27089, 798, 562, 747, 334, 632, 635, 5866, 454, 825, 1948, 2908, 303, 657, 22562, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 271, 1948, 3067, 573, 1228, 10922, 2039, 476, 277, 454, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 271, 1948, 3067, 573, 1228, 3436, 2039, 476, 277, 30974, 10922, 1015, 22562, 258, 825, 1948, 31467, 16948, 829, 14585, 17243, 522, 2039, 632, 512, 16120, 14833, 476, 277, 454, 258, 825, 18559, 284, 271, 454, 258, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 2187, 258, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 276, 2187, 258, 2018, 1064, 19963, 267, 1064, 10734, 815, 1007, 303, 657, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 25680, 7534, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 1965, 20960, 6767, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 952, 9217, 11203, 476, 271, 2567, 1948, 810, 562, 7776, 1130, 324, 605, 1775, 815, 271, 267, 1093, 529, 1609, 7559, 535, 1794, 754, 334, 14255, 8544, 2742, 13274, 3873, 2473, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 16482, 258, 4449, 454, 258, 825, 1948, 3712, 10087, 522, 27089, 14255, 3067, 573, 1228, 454, 258, 825, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 284, 18559, 454, 258, 8931, 258, 8931, 258, 825, 1948, 31467, 16948, 829, 14585, 17243, 522, 2039, 632, 512, 16120, 14833, 476, 1015, 454, 258, 825, 18559, 284, 271, 454, 258, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 280, 2187, 258, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 280, 2187, 258, 2018, 1064, 19963, 267, 1064, 10734, 815, 1007, 303, 657, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 25680, 7534, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 1948, 335, 571, 524, 9874, 267, 1965, 20960, 6767, 454, 258, 2018, 1064, 19963, 815, 1064, 19963, 1341, 1775, 454, 258, 2018, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 2018, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 2018, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 3546, 18559, 284, 14513, 266, 272, 454, 258, 27030, 258, 2018, 952, 9217, 11203, 476, 271, 2567, 1948, 810, 562, 7776, 1130, 324, 605, 1775, 815, 271, 267, 1093, 529, 1609, 7559, 535, 1794, 754, 334, 14255, 8544, 2742, 13274, 3873, 2473, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 1341, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 3546, 1948, 335, 571, 22678, 1460, 334, 267, 25680, 7534, 454, 258, 3546, 1064, 19963, 815, 1064, 19963, 910, 1775, 454, 258, 3546, 1064, 10734, 815, 1064, 10734, 910, 795, 3097, 258, 3546, 1948, 1260, 513, 562, 13960, 1064, 3821, 334, 267, 2357, 881, 541, 694, 1609, 320, 14255, 30458, 632, 635, 5866, 552, 733, 8494, 714, 541, 454, 258, 3546, 952, 16733, 1842, 19963, 267, 1842, 10734, 264, 538, 5903, 4467, 5866, 2187, 258, 7386, 18559, 284, 14513, 266, 272, 454, 258, 4449, 454, 258, 825, 1948, 3712, 10087, 522, 27089, 14255, 3067, 573, 1228, 454, 258, 825, 9206, 318, 1260, 5866, 318, 9792, 9078, 784, 334, 284, 18559, 692, 825, 476, 10310, 5992, 2971, 7462, 454, 825, 1948, 1395, 3279, 1319, 10961, 16948, 28099, 8849, 1948, 454, 825, 476, 10310, 5992, 2971, 7462, 454, 258, 825, 1273, 343, 815, 1496, 454, 258, 8587, 20886, 4148, 698, 318, 1260, 5866, 30648, 1729, 267, 4148, 698, 318, 1260, 5866, 8548, 4215, 318, 2017, 3279, 267, 4148, 698, 318, 1260, 5866, 8548, 4215, 9078, 784, 320, 267, 4148, 698, 318, 1260, 5866, 9078, 21789, 2676, 258, 1038, 9206, 6958, 656, 553, 2742, 30648, 1729, 267, 4148, 698, 6958, 656, 553, 2742, 8548, 4215, 318, 2017, 3279, 267, 4148, 698, 6958, 656, 553, 2742, 8548, 4215, 9078, 784, 320, 267, 4148, 698, 6958, 656, 553, 2742, 9078, 21789, 2676, 258, 1038, 9206, 318, 4364, 334, 30648, 1729, 267, 4148, 698, 318, 4364, 334, 318, 4364, 1470, 267, 4148, 698, 318, 4364, 334, 9078, 21789, 14963, 258, 2676, 258, 8587, 1948, 476, 9206, 318, 1260, 5866, 318, 9792, 318, 2017, 1729, 267, 4148, 698 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 991, 547, 563, 3086, 267, 1900, 476, 274, 267, 543, 5310, 1250, 5172, 1900, 281, 5455, 707, 3940, 6981, 256, 1306, 596, 1118, 707, 17365, 1592, 267, 2119, 547, 8214, 593, 3677, 13980, 540, 3940, 16382, 2009, 269, 7427, 619, 540, 1250, 8631, 2907, 917, 875, 1454, 594, 840, 778, 519, 22258, 540, 3940, 269, 15439, 2322, 267, 950, 621, 2501, 547, 4888, 312, 3804, 267, 2348, 811, 3940, 568, 3592, 2141, 513, 1434, 2856, 269, 1280, 2597, 2530, 267, 4189, 811, 3940, 786, 6633, 811, 8477, 998, 1945, 1634, 607, 519, 5687, 545, 1198, 540, 1426, 269, 26243, 267, 3940, 3217, 811, 1648, 547, 7558, 543, 10110, 267, 3976, 8781, 811, 8477, 3379, 547, 19719, 543, 9600, 269, 19871, 666, 849, 948, 596, 1745, 2407, 18334, 6730, 585, 3476, 269, 2290, 1353, 1256, 1336, 5396, 31380, 4389, 741, 1426, 6981, 676, 476, 24496, 8477, 1175, 676, 4189, 811, 3940, 1101, 256, 570, 871, 593, 519, 4324, 540, 8497, 543, 2679, 10709, 2527, 267, 543, 596, 666, 1294, 519, 6207, 5863, 1145, 540, 811, 3940, 563, 2710, 707, 28491, 2507, 543, 707, 17666, 256, 9315, 1470, 814, 2141, 1044, 512, 719, 539, 607, 5990, 968, 7076, 2530, 892, 1907, 267, 855, 621, 779, 15319, 569, 15877, 835, 1883, 3815, 602, 1152, 4187, 2866, 666, 1683, 281, 2679, 4887, 269, 2986, 1576, 267, 950, 1004, 1589, 540, 9561, 2597, 267, 4887, 1419, 568, 711, 513, 1883, 10862, 269, 1937, 572, 2943, 267, 930, 723, 513, 4990, 540, 20772, 602, 596, 3580, 1439, 909, 3168, 10839, 968, 2023, 539, 892, 1310, 596, 8774, 2476, 519, 4494, 540, 3170, 676, 3257, 28491, 269, 10251, 267, 28491, 786, 1152, 948, 609, 3170, 543, 2597, 2530, 543, 596, 2461, 2965, 693, 1981, 540, 700, 5308, 5058, 4887, 269, 901, 2898, 968, 2023, 539, 892, 3364, 3884, 1406, 27613, 4755, 269, 2334, 779, 1141, 4187, 2866, 2501, 538, 269, 4014, 711, 513, 1390, 4781, 585, 8781, 3170, 267, 649, 917, 17666, 12035, 666, 693, 2547, 8190, 267, 543, 585, 14987, 267, 1256, 1628, 4887, 1282, 513, 17811, 17211, 269, 1656, 9939, 1176, 267, 950, 649, 798, 645, 30862, 267, 649, 9247, 1205, 1312, 540, 922, 2640, 269, 3194, 814, 1256, 3254, 602, 3170, 2530, 568, 8028, 4753, 299, 2207, 28714, 1256, 2417, 1247, 8497, 610, 2679, 4887, 950, 1312, 616, 2944, 21276, 569, 269, 1924, 267, 1586, 267, 798, 1312, 256, 898, 779, 27613, 581, 4502, 621, 563, 25321, 306, 8780, 7728, 543, 13698, 2316, 7728, 269, 1703, 2731, 7948, 1406, 581, 4376, 3116, 1934, 269, 634, 3105, 3268, 616, 7168, 1454, 519, 1283, 4909, 2188, 585, 3811, 2597, 2530, 269, 3767, 267, 621, 779, 942, 585, 519, 2182, 851, 281, 1373, 5812, 609, 519, 3268, 269, 2659, 3804, 1934, 568, 547, 1491, 519, 3268, 543, 25666, 513, 4640, 547, 799, 596, 666, 1655, 15666, 538, 519, 1279, 688, 592, 269, 18641, 267, 891, 3268, 1450, 585, 930, 530, 24513, 548, 4055, 547, 4188, 585, 707, 2123, 13283, 269, 1411, 723, 3681, 538, 2010, 540, 2898, 3536, 596, 1616, 547, 3548, 267, 875, 1279, 596, 1616, 547, 3950, 707, 1426, 267, 875, 1454, 540, 513, 17211, 596, 1616, 547, 2844, 267, 1018, 1826, 540, 3940, 547, 3548, 267, 543, 519, 28491, 543, 4187, 2866, 1982, 596, 1616, 547, 946, 269, 570, 28310, 1472, 609, 707, 3681, 2394, 4466, 1945, 596, 666, 5781, 2844, 269, 4495, 596, 798, 267, 581, 3461, 609, 707, 6788, 269, 5457, 267, 596, 2461, 3843, 547, 3768, 334, 1296, 543, 1296, 540, 2597, 2744, 543, 4057, 6208, 269, 12315, 621, 3275, 267, 513, 2898, 1032, 1256, 267, 547, 1294, 519, 2164, 602, 596, 1616, 269, 1656, 849, 267, 581, 3461, 543, 1620, 540, 3054, 269, 4014, 4657, 6208, 568, 513, 2352, 4305, 267, 972, 786, 581, 2395, 602, 616, 1175, 811, 2352, 547, 581, 5812, 982, 1866, 269, 589, 2370, 3787, 540, 18656, 10885, 568, 5386, 269, 3143, 835, 779, 3501, 476, 2190, 270, 278, 269, 1403, 596, 1175, 1616, 547, 2972, 930, 10217, 267, 1287, 979, 585, 621, 267, 1175, 711, 1932, 1454, 269, 1403, 596, 723, 513, 16314, 596, 1616, 547, 2972, 267, 1287, 2972, 621, 267, 1175, 1118, 909, 585, 621, 950, 596, 1205, 1394, 269, 2107, 267, 1175, 3398, 621, 543, 1174, 621, 3580, 1175, 1491, 513, 3787, 3476, 547, 1205, 547, 1141, 596, 1616, 547, 581, 269, 11088, 267, 11007, 267, 585, 1034, 2395, 267, 543, 9639, 267, 4019, 602, 547, 707, 3268, 267, 543, 596, 3580, 581, 1134, 593, 707, 1259, 563, 27028, 5193, 569, 3025, 6499, 547, 6336, 513, 1906, 9424, 540, 2597, 269, 4270, 267, 5176, 782, 543, 31914, 787, 269, 1656, 17831, 616, 267, 596, 4076, 13986, 707, 1688, 593, 11108, 2597, 2530, 2553, 267, 543, 513, 1360, 1434, 7274, 540, 596, 4076, 3893, 4092, 2360, 267, 2705, 267, 519, 11566, 5354, 267, 796, 331, 3089, 1176, 267, 723, 711, 563, 5804, 12394, 11326, 971, 1970, 2275, 16808, 267, 1100, 2275, 16808, 267, 1100, 3170, 267, 7050, 9600, 267, 1164, 3940, 267, 12779, 334, 267, 1858, 267, 27520, 543, 1256, 952, 621, 13352, 707, 5672, 4592, 547, 3824, 20535, 476, 273, 6980, 513, 1554, 267, 476, 274, 6980, 606, 12784, 267, 476, 277, 6980, 267, 476, 1015, 6980, 267, 476, 272, 7594, 267, 711, 10438, 693, 3781, 267, 1631, 711, 3824, 20535, 1369, 519, 6640, 267, 610, 3824, 20535, 14724, 513, 2318, 942, 269, 634, 4641, 568, 267, 596, 4076, 3893, 4440, 25356, 707, 2247, 689, 1175, 7446, 513, 2597, 2530, 1544, 543, 25356, 707, 1560, 689, 12394, 621, 563, 2080, 596, 616, 267, 1869, 519, 1482, 25447, 596, 267, 1100, 2597, 2530, 267, 543, 581, 25442, 267, 596, 7654, 1256, 4465, 930, 811, 737, 3342, 563, 3383, 267, 1018, 779, 519, 4308, 888, 301, 823, 569, 267, 4352, 594, 5143, 596, 602, 621, 568, 607, 2653, 607, 1648, 538, 5288, 269, 1648, 856, 267, 3548, 1454, 1447, 543, 1847, 811, 267, 2436, 596, 3858, 609, 803, 610, 711, 267, 972, 616, 1082, 9073, 596, 616, 2693, 1818, 950, 3168, 547, 8774, 6550, 563, 1103, 2013, 596, 4941, 547, 1118, 1978, 519, 1985, 942, 596, 1780, 593, 513, 2732, 1544, 267, 2161, 267, 899, 267, 1318, 1631, 267, 621, 568, 1164, 7779, 547, 1832, 2476, 689, 1818, 891, 476, 276, 28125, 2597, 2530, 9073, 563, 308, 526, 1573, 26305, 875, 513, 1434, 4308, 596, 1821, 712, 912, 288, 2863, 20289, 2220, 8986, 602, 1352, 779, 1044, 3824, 20535, 519, 1688, 5006, 476, 1911, 271, 8477, 513, 1554, 10790, 311, 269, 1717, 267, 585, 930, 2601, 267, 1352, 779, 18562, 1631, 711, 9561, 2597, 269, 1924, 267, 1018, 3947, 286, 12085, 616, 267, 589, 2863, 20289, 568, 513, 561, 3511, 269, 1656, 621, 568, 1100, 13337, 540, 1200, 1360, 1378, 824, 982, 2596, 1480, 15859, 563, 763, 3815, 568, 602, 3425, 2356, 30391, 519, 7274, 540, 1648, 789, 3548, 269, 589, 723, 513, 1413, 693, 4092, 602, 3425, 896, 516, 19959, 519, 2647, 3099, 540, 8477, 789, 17696, 909, 609, 519, 5351, 540, 607, 513, 1390, 4308, 607, 476, 2004, 10065, 589, 2863, 20289, 3081, 1352, 779, 10438, 513, 8536, 1648, 267, 2705, 267, 621, 568, 4440, 4724, 476, 1220, 271, 563, 3383, 267, 707, 2298, 914, 568, 547, 7048, 593, 707, 8477, 267, 2705, 267, 1577, 779, 3398, 621, 267, 621, 779, 711, 993, 6748, 2348, 547, 1353, 519, 6003, 540, 1169, 6171, 543, 7893, 707, 1426, 269, 1411, 2461, 2362, 1055, 519, 946, 540, 513, 17811, 10203, 813, 610, 4950, 3135, 602, 786, 948, 596, 798, 621, 563, 26364, 5896, 267, 621, 779, 711, 2356, 4977, 267, 855, 9748, 1732, 982, 2348, 547, 798, 621, 676, 8885, 563, 30342, 8078, 730, 547, 9096, 707, 6676, 912, 2252, 596, 2461, 1945, 899, 8885, 543, 1810, 1406, 1616, 547, 3653, 1426, 267, 596, 2461, 2469, 547, 9096, 519, 30810, 593, 707, 6676, 269, 2991, 782, 267, 596, 4137, 9157, 547, 2990, 6980, 593, 602, 6676, 267, 543, 519, 10700, 2460, 596, 786, 798, 568, 12235, 621, 2476, 267, 3592, 899, 18530, 2476, 6666, 563, 2252, 596, 2461, 3152, 899, 803, 267, 3335, 972, 568, 5310, 513, 25261, 610, 2451, 267, 610, 513, 2582, 6177, 13617, 610, 16741, 20105, 267, 865, 602, 596, 3352, 1674, 958, 1217, 3054, 267, 968, 30524, 7654, 607, 23182, 3274, 1821, 712, 621, 563, 1607, 4386, 513, 2603, 267, 899, 1169, 1554, 267, 7488, 540, 875, 8937, 1532, 755, 532, 2407, 596, 616, 269, 1656, 621, 849, 1797, 676, 324, 547, 2597, 5786, 13821, 563, 3383, 267, 547, 29260, 713, 267, 596, 2901, 2061, 3824, 20535, 11613, 2899, 596, 1745, 19914, 610, 4444, 4130, 10824, 269, 16319, 29749, 267, 855, 621, 1568, 563, 2467, 779, 513, 2898, 9504, 2985, 1572, 519, 968, 22102, 518, 17934, 7747, 267, 13296, 621, 4957, 883, 6029, 602, 1210, 476, 1015, 20878, 8006, 10824, 538, 13283, 547, 476, 1321, 6279, 4389, 519, 2039, 540, 6980, 1480, 7919, 17696, 1510, 7133, 2407, 1145, 610, 12257, 269, 2372, 924, 546, 7568, 3579, 563, 2710, 532, 20099, 344, 267, 23413, 1190, 267, 20113, 267, 17224, 11131, 543, 13379, 13809, 912, 5445, 4122, 1847, 1688, 538, 1688, 267, 2705, 267, 991, 547, 873, 888, 25205, 1470, 267, 2110, 585, 9025, 5751, 547, 2253, 609, 729, 1031, 547, 6133, 513, 1072, 2295, 269, 1717, 267, 609, 519, 16057, 19876, 540, 7098, 984, 923, 267, 621, 2968, 519, 8912, 4480, 538, 2597, 5786, 563, 4913, 267, 621, 3217, 782, 519, 942, 547, 798, 269, 27009, 3486, 267, 942, 568, 2724, 267, 865, 7836, 606, 5662, 547, 6633, 476, 274, 547, 476, 6110, 8477, 568, 1175, 1631, 711, 4502, 513, 1247, 563, 17746, 656, 28029, 787, 28491, 267, 8537, 540, 28185, 3101, 593, 513, 25500, 17524, 267, 568, 24215, 32462, 267, 16625, 267, 543, 621, 779, 1175, 1100, 3476, 993, 6748, 585, 1034, 269, 901, 1797, 1082, 1004, 786, 13604, 3247, 563, 3383, 538, 13283, 547, 796, 15517, 532, 3054, 609, 27615, 9934, 1279, 2914, 14800, 20659, 267, 596, 666, 2119, 1945, 1572, 1164, 3829, 524, 1982, 1893, 1974, 18375, 269, 3143, 3476, 1152, 1281, 621, 6633, 1648, 543, 1256, 3895, 4887, 2679, 267, 855, 621, 1281, 10123, 621, 538, 3368, 519, 942, 607, 2757, 20659, 786, 1491, 563, 19185, 6619, 547, 4539, 1932, 3432, 344, 912, 2791, 949, 9684, 519, 2923, 585, 713, 835, 269, 2060, 971, 513, 2603, 540, 865, 3146, 31084, 547, 607, 8516, 14078, 543, 1582, 3491, 13094, 1072, 968, 23024, 1206, 892, 782, 9621, 602, 596, 1223, 6336, 1945, 899, 476, 736, 6550, 538, 476, 736, 2395, 267, 972, 779, 1100, 2243, 602, 3425, 786, 2253, 547, 2015, 602, 621, 666, 581, 2944, 563, 301, 823, 569, 267, 621, 666, 581, 5645, 856, 267, 2705, 693, 519, 1942, 540, 707, 8723, 1072, 998, 28142, 8324, 602, 707, 7406, 16858, 269, 3958, 267, 1247, 21177, 2597, 865, 15186, 267, 707, 7406, 568, 2469, 883, 6668, 7154, 543, 24515, 547, 8190, 1142, 2582, 9600, 685, 11140, 621, 666, 267, 1818, 621, 27162, 615, 547, 6633, 3170, 563, 4002, 1283, 540, 713, 267, 513, 1413, 693, 4362, 602, 1369, 519, 4583, 7641, 11685, 4159, 267, 968, 1492, 4102, 11968, 518, 2223, 538, 799, 16311, 1218, 14526, 547, 6336, 519, 1034, 2597, 538, 513, 1507, 2179, 540, 942, 267, 930, 16311, 1218, 8694, 909, 1036, 8724, 782, 519, 2597, 789, 3765, 31419, 609, 513, 1906, 1256, 11543, 3152, 269, 898, 729, 3254, 602, 713, 4957, 1813, 547, 741, 21828, 10894, 13927, 4625, 1835, 4770, 563, 7312, 1101, 11665, 914, 568, 547, 9496, 585, 811, 610, 1447, 476, 272, 547, 1079, 6550, 1169, 3018, 610, 827, 476, 1015, 260, 540, 707, 4098, 2597, 538, 476, 277, 3275, 563, 3519, 31844, 1932, 1454, 8631, 2786, 2476, 912, 19185, 547, 6336, 2597, 568, 3335, 10483, 676, 513, 6727, 8141, 540, 8404, 547, 1689, 707, 2623, 563, 1103, 1896, 8320, 267, 1480, 7919, 991, 547, 14595, 811, 982, 835, 4356, 269, 1656, 1247, 789, 2119, 547, 798, 621, 267, 789, 1332, 547, 581, 17528, 782, 693, 2899, 269, 667, 549, 6137, 2597, 3294, 568, 513, 2789, 19229, 3787, 4657, 4480, 563, 28848, 1447, 568, 513, 4356, 269, 4518, 719, 3152, 568, 513, 4356, 269, 769, 7465, 532, 3152, 1216, 568, 513, 4356, 269, 1261, 1188, 267, 1256, 10203, 707, 8477, 568, 513, 4356, 269, 1733, 12241, 596, 2119, 543, 798, 782, 540, 713, 1510, 8488, 267, 621, 4991, 9157, 547, 1246, 998 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6092, 5149, 281, 31336, 4252, 910, 634, 7216, 17963, 692, 8702, 547, 938, 3460, 998, 942, 607, 649, 2263, 875, 14912, 729, 5129, 538, 922, 9998, 2395, 256, 7043, 1354, 519, 1614, 15304, 1899, 267, 1793, 600, 546, 6064, 733, 3949, 267, 543, 1164, 24289, 14229, 5474, 267, 972, 941, 930, 1360, 1114, 630, 663, 2706, 4277, 14386, 3652, 602, 18170, 713, 5863, 7328, 269, 1924, 1577, 781, 4685, 883, 519, 1259, 25746, 3684, 543, 2638, 856, 1018, 1500, 1346, 2025, 523, 2395, 865, 2027, 2439, 6637, 476, 272, 281, 3212, 778, 645, 2532, 1115, 543, 17502, 1356, 645, 8712, 454, 14343, 7042, 12441, 596, 917, 602, 950, 14912, 1101, 3323, 267, 789, 4769, 1405, 1256, 946, 513, 11876, 641, 286, 962, 788, 267, 3079, 540, 2221, 781, 10538, 678, 15501, 609, 562, 14125, 24437, 267, 789, 1031, 890, 778, 30504, 256, 1656, 7058, 1018, 789, 8929, 693, 873, 609, 286, 3502, 513, 3579, 267, 2688, 13402, 1975, 531, 3429, 3440, 855, 513, 2834, 13558, 3440, 256, 2052, 596, 4952, 4730, 513, 3014, 1141, 18176, 5921, 2576, 1185, 547, 18214, 909, 543, 3165, 519, 3440, 856, 1310, 1169, 1448, 286, 2334, 781, 4010, 1018, 5949, 1394, 1287, 780, 2162, 3848, 476, 273, 281, 3143, 667, 1026, 17331, 31841, 2080, 2501, 1776, 8710, 518, 1107, 666, 596, 3494, 602, 546, 1026, 17331, 7012, 1405, 4847, 538, 519, 3312, 4528, 540, 14912, 286, 24812, 1223, 1152, 1491, 476, 274, 3268, 1310, 20414, 519, 3440, 1354, 8429, 610, 15246, 269, 1403, 789, 4941, 547, 1847, 1472, 267, 789, 2877, 547, 22141, 593, 835, 3723, 1247, 8066, 519, 3440, 269, 5994, 3843, 547, 1205, 2250, 707, 18545, 1210, 1175, 30809, 543, 535, 1389, 256, 13185, 827, 4101, 13718, 2971, 3848, 476, 274, 281, 2290, 7435, 267, 7490, 2439, 3086, 12997, 267, 3214, 1451, 1312, 2451, 26370, 543, 1318, 26370, 2482, 5725, 689, 1554, 835, 269, 1809, 1705, 596, 917, 602, 1394, 538, 519, 1554, 267, 782, 15833, 1185, 547, 581, 3144, 609, 1175, 21450, 1688, 286, 5565, 26370, 1305, 15833, 14201, 1405, 5189, 2394, 1454, 2663, 269, 901, 1797, 602, 952, 596, 4941, 547, 9496, 936, 2576, 26339, 267, 596, 2731, 1185, 547, 7914, 1164, 543, 8831, 707, 6186, 2439, 7462, 3848, 476, 275, 281, 28038, 519, 4911, 787, 11831, 2439, 1607, 1522, 3280, 21173, 267, 855, 3251, 609, 721, 1934, 269, 5457, 875, 4505, 649, 14437, 827, 875, 16246, 561, 5417, 619, 547, 23074, 519, 3440, 729, 851, 540, 519, 3014, 286, 4270, 267, 3006, 4715, 2209, 3893, 13110, 540, 7996, 543, 4956, 547, 948, 856, 676, 18530, 8726, 3615, 789, 1185, 13561, 693, 519, 4057, 18560, 12758, 3330, 519, 21799, 609, 519, 11127, 256, 17652, 2614, 267, 25696, 2219, 267, 834, 20756, 267, 1946, 1810, 1405, 649, 2285, 873, 1945, 2571, 2943, 19756, 547, 12235, 8119, 4935, 3357, 827, 519, 1412, 17951, 787, 11831, 10086, 849, 1634, 607, 513, 4915, 3440, 269, 898, 7012, 1405, 1279, 1354, 5716, 7691, 602, 2348, 14220, 11084, 16207, 693, 873, 7012, 1405, 1932, 1187, 267, 865, 789, 3459, 16459, 4890, 24437, 3544, 519, 890, 778, 30504, 780, 30607, 3848, 476, 276, 281, 2913, 781, 7591, 2368, 595, 720, 11831, 2439, 5331, 4730, 14912, 11303, 676, 513, 5832, 3095, 20545, 7555, 3670, 3952, 7381, 269, 16319, 7920, 267, 1318, 286, 8080, 547, 21799, 3440, 256, 901, 14583, 540, 14912, 2968, 2442, 1282, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 2094, 621, 4847, 3756, 547, 581, 4371, 16280, 1510, 4250, 540, 14124, 3959, 269, 9578, 267, 621, 3773, 606, 3063, 4494, 540, 10761, 1813, 547, 922, 20583, 2470, 780, 4517, 602, 6770, 721, 547, 519, 1439, 540, 938, 13858, 7045, 998, 14912, 781, 2250, 256, 2755, 1082, 540, 891, 3652, 723, 4957, 936, 942, 267, 1620, 873, 2337, 721, 5660, 875, 2484, 519, 3014, 814, 2097, 543, 6148, 1256, 26182, 721, 547, 1711, 930, 1007, 23538, 540, 938, 1378, 269, 5808, 6487, 267, 5310, 14693, 1647, 30595, 786, 14952, 693, 519, 834, 534, 2615, 257, 3652, 649, 1404, 676, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 276, 6196, 6874, 830, 344, 16390, 11846, 9701, 20780, 7982, 8056, 2664, 2299, 454, 12024, 513, 1490, 520, 1399, 4819, 22551, 532, 834, 6124, 4341, 256, 1715, 4341, 10590, 8164, 1945, 4523, 602, 646, 3085, 1405, 899, 267, 5026, 682, 8046, 2648, 4986, 811, 982, 4657, 741, 3652, 269, 15394, 891, 616, 5634, 17408, 6545, 267, 899, 13836, 781, 1007, 835, 3766, 877, 1404, 4752, 547, 3313, 799, 8187, 9315, 2319, 4422, 593, 547, 6336, 1996, 18825, 1732, 267, 610, 14912, 4657, 922, 5685, 1023, 3898, 547, 2327, 811, 2951, 267, 1317, 621, 7140, 856, 519, 1483, 23594, 1222, 568, 519, 8823, 519, 5716, 1118, 1927, 593, 519, 4155, 563, 5472, 2413, 2242, 267, 19890, 267, 616, 2901, 827, 1818, 1919, 10930, 610, 1818, 811, 2724, 585, 1004, 945, 5749, 1405, 721, 267, 799, 15069, 1281, 4986, 538, 519, 4287, 540, 1818, 1919, 4277, 269, 1677, 798, 602, 267, 649, 991, 547, 30603, 519, 2250, 4534, 519, 32219, 267, 29695, 267, 3458, 14954, 5346, 2250, 269, 634, 2038, 2395, 540, 605, 5026, 1185, 930, 540, 519, 1034, 19278, 3652, 16697, 762, 267, 543, 8744, 873, 1394, 1131, 23906, 1156, 909, 605, 3440, 7829, 16074, 563, 289, 21488, 4252, 538, 513, 595, 720, 454, 306, 599, 32597, 547, 14912, 781, 834, 836, 337, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 9147, 31157, 910, 10289, 519, 2622, 540, 19978, 1401, 1122, 8412, 692, 8893, 476, 272, 281, 1548, 568, 19978, 1401, 1122, 8412, 2496, 5331, 1373, 606, 9125, 6048, 267, 20857, 998, 6106, 540, 1686, 267, 26500, 10881, 827, 1004, 945, 5030, 1279, 3516, 269, 2334, 781, 1018, 621, 781, 899, 547, 1353, 519, 6426, 1210, 608, 1122, 8412, 256, 1401, 1122, 8412, 1797, 5402, 16208, 513, 1257, 676, 3168, 5702, 693, 922, 1913, 267, 2796, 267, 543, 3140, 4282, 269, 901, 1259, 267, 649, 666, 1732, 1174, 1018, 519, 4589, 4941, 547, 2161, 547, 741, 3312, 3988, 1354, 4687, 875, 1346, 6835, 1522, 1869, 4019, 2221, 780, 4131, 781, 2119, 930, 2241, 608, 1122, 8412, 1927, 256, 5994, 707, 3659, 5795, 596, 513, 4484, 602, 1767, 267, 834, 296, 1185, 971, 513, 9240, 990, 344, 942, 16304, 609, 1250, 890, 10134, 19108, 10590, 1411, 917, 789, 4769, 1405, 2965, 1611, 741, 2828, 941, 1500, 540, 3574, 1317, 834, 326, 549, 990, 344, 257, 543, 834, 701, 10134, 257, 5749, 1405, 1031, 12777, 1934, 269, 5502, 267, 891, 1913, 948, 721, 4952, 519, 1187, 5790, 543, 7874, 4606, 3838, 1282, 602, 11018, 269, 1635, 1620, 519, 1893, 2511, 543, 2686, 8100, 267, 596, 1205, 6251, 547, 707, 3659, 781, 5497, 2495, 780, 1103, 13400, 608, 1122, 8412, 267, 5640, 946, 2147, 2994, 547, 4137, 856, 811, 1950, 2152, 899, 21264, 532, 3504, 4654, 267, 9236, 1114, 8747, 540, 27403, 267, 4974, 1141, 543, 1946, 1978, 2984, 941, 2854, 267, 543, 1256, 3695, 9821, 543, 5389, 689, 13400, 2053, 269, 2353, 891, 2645, 2285, 721, 21950, 4030, 883, 2696, 781, 2262, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 1683, 1142, 1895, 609, 2110, 15102, 689, 1585, 16627, 540, 519, 6426, 269, 9105, 873, 547, 5635, 519, 15102, 543, 1865, 1022, 3604, 789, 1265, 269, 3973, 267, 5000, 873, 547, 1589, 827, 2009, 4128, 3297, 1346, 27753, 267, 1519, 8144, 5079, 543, 10409, 4447, 1903, 780, 8893, 476, 273, 281, 9373, 532, 519, 5384, 10724, 1107, 1773, 5217, 3776, 2383, 538, 3778, 692, 3080, 1898, 2460, 540, 13400, 608, 1122, 8412, 3322, 10707, 1394, 538, 942, 547, 1995, 1272, 607, 519, 3312, 5304, 1131, 723, 269, 1284, 1289, 713, 1184, 834, 7290, 5566, 14426, 13865, 1436, 1701, 2913, 803, 2671, 606, 1383, 547, 9414, 713, 1523, 780, 306, 599, 596, 1336, 513, 4063, 6031, 267, 834, 5141, 846, 519, 7450, 9900, 282, 12624, 568, 562, 6260, 1701, 1677, 5963, 5660, 519, 5048, 267, 6616, 602, 596, 2661, 538, 513, 26776, 7622, 609, 3670, 16254, 2337, 1305, 519, 6429, 269, 1809, 4952, 4946, 3877, 899, 621, 1373, 519, 2038, 476, 5197, 271, 338, 267, 8075, 2348, 6094, 6821, 267, 543, 7504, 1286, 17699, 4749, 8429, 3544, 269, 22582, 267, 519, 991, 585, 8425, 30276, 3587, 1454, 20501, 2439, 20118, 267, 1565, 827, 5840, 924, 2528, 267, 4346, 267, 6214, 267, 11585, 267, 4984, 267, 543, 3232, 1272, 27862, 938, 8223, 540, 13400, 2621, 543, 10752, 269, 1280, 3236, 267, 8906, 827, 6694, 2853, 8774, 1769, 593, 23199, 4906, 1031, 950, 6158, 827, 5452, 543, 3771, 341, 3949, 269, 11310, 827, 1920, 3889, 2488, 5813, 883, 1612, 1963, 5473, 3237, 267, 1453, 267, 543, 18472, 780, 12244, 281, 8073, 513, 15415, 6029, 1883, 3140, 19325, 3056, 909, 547, 1271, 8090, 538, 13400, 1686, 269, 11559, 1053, 547, 1382, 3344, 540, 3232, 1272, 1282, 1808, 5712, 267, 9306, 4681, 998, 19297, 267, 1236, 1080, 267, 610, 1019, 528, 24252, 780, 3528, 8026, 608, 1122, 8412, 543, 3140, 14426, 13865, 1436, 267, 1053, 2744, 3407, 1983, 585, 4514, 6278, 609, 3909, 5931, 1247, 5807, 7279, 543, 7071, 585, 519, 3309, 1158, 1472, 873, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 25745, 540, 6428, 14010, 543, 519, 14339, 540, 26198, 454, 3725, 6665, 1746, 19978, 1401, 1122, 8412, 543, 700, 2660, 6377, 12142, 28604, 540, 30037, 476, 1556, 281, 272, 454, 297, 1563, 589, 269, 808, 788, 5459, 267, 834, 763, 25745, 540, 6428, 14010, 543, 519, 14339, 540, 26198, 281, 4860, 529, 1746, 19978, 1401, 1122, 8412, 543, 700, 2660, 6377, 12142, 28604, 540, 30037, 476, 1556, 281, 272, 2437, 16241, 3447, 1807, 476, 736, 267, 1100, 269, 476, 274, 630, 1001, 280, 2567, 476, 10463, 268, 4817, 563, 297, 1563, 589, 269, 808, 788, 5459, 630, 16942, 11333, 2593, 264, 729, 519, 17865, 8235, 5101, 16323, 8689, 540, 12054, 514, 2456, 543, 23941, 950, 713, 729, 3370, 563, 4517, 972, 4927, 2097, 8521, 513, 11425, 856, 540, 519, 6565, 540, 20908, 572, 267, 543, 513, 25032, 4927, 1332, 856, 540, 1010, 5072, 563, 10743, 540, 519, 6426, 538, 519, 8938, 23867, 2540, 616, 899, 513, 8176, 28726, 1915, 2713, 538, 519, 1655, 543, 10782, 540, 2053, 269, 4653, 649, 723, 519, 5413, 540, 5215, 540, 1296, 540, 13400, 2090, 593, 799, 547, 1628, 938, 12496, 543, 24300, 540, 519, 6426, 269, 634, 5250, 540, 2413, 4081, 10459, 27137, 607, 21849, 267, 3140, 267, 2707, 267, 543, 1106, 30852, 267, 547, 2012, 513, 1906, 1765, 1721, 16042, 3504, 5931, 936, 519, 2250, 476, 9873, 1296, 814, 1390, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 5525, 1315, 1401, 1122, 8412, 1299, 19555, 2940, 583, 923, 1315, 8466, 4211, 8590, 12745, 783, 1436, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 3516, 267, 1250, 20516, 729, 15861, 547, 513, 6413, 1310, 9991, 543, 8840, 1200, 12048, 269, 594, 1185, 2141, 1634, 602, 1352, 729, 18979, 569, 4830, 267, 855, 594, 2760, 7691, 1175, 875, 1271, 621, 729, 585, 1200, 547, 2226, 1200, 13190, 2394, 594, 4718, 1200, 538, 519, 6413, 269, 2311, 476, 5952, 1296, 2025, 267, 1352, 729, 1869, 8325, 607, 513, 8214, 543, 6068, 4986, 811, 982, 512, 2056, 547, 1200, 4677 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1796, 585, 519, 29063, 1145, 789, 8149, 282, 1346, 945, 941, 669, 12097, 609, 535, 1722, 538, 1272, 267, 616, 669, 12097, 676, 513, 14495, 12334, 269, 5164, 326, 559, 779, 23475, 28904, 941, 4503, 593, 519, 24434, 540, 519, 853, 344, 343, 547, 1796, 585, 519, 18418, 566, 543, 30608, 11389, 1275, 540, 13587, 848, 563, 8489, 667, 14397, 779, 4503, 20369, 2583, 6719, 1875, 8806, 519, 18418, 566, 540, 13587, 848, 267, 855, 16310, 519, 4986, 1145, 602, 568, 18774, 6902, 1346, 945, 2451, 513, 4986, 1145, 538, 741, 2729, 1141, 5683, 24500, 543, 1434, 1058, 3180, 1044, 1631, 10536, 547, 1402, 3634, 538, 519, 4986, 1145, 540, 20704, 789, 2813, 269, 667, 14397, 779, 18774, 543, 5164, 326, 559, 779, 7201, 16447, 616, 11338, 538, 741, 2489, 5605, 4800, 267, 855, 741, 12438, 1049, 3604, 1397, 875, 667, 14397, 9867, 811, 538, 519, 9525, 540, 513, 4168, 2990, 540, 519, 896, 16447, 269, 634, 30856, 3604, 538, 1312, 14235, 3029, 568, 3361, 676, 519, 17157, 1974, 538, 799, 519, 4513, 14235, 3029, 941, 2854, 269, 5164, 326, 559, 779, 543, 667, 14397, 779, 2542, 540, 18774, 941, 11231, 547, 9290, 875, 519, 7239, 540, 741, 17157, 9763, 519, 1934, 12898, 269, 667, 14397, 1705, 1732, 2390, 5164, 326, 559, 779, 7201, 16447, 269, 769, 1010, 7201, 16447, 267, 5164, 326, 559, 5258, 18774, 883, 1614, 2694, 281, 570, 691, 22654, 267, 661, 569, 338, 1756, 267, 543, 700, 1872, 550, 525, 8805, 328, 267, 543, 8370, 30834, 2888, 968, 2560, 543, 8370, 2053, 519, 5757, 853, 344, 343, 267, 23953, 1063, 267, 32604, 9232, 4586, 763, 1025, 16556, 20369, 2583, 538, 519, 7201, 16447, 616, 782, 989, 3415, 538, 513, 771, 6716, 2213, 2486, 269, 2353, 519, 20369, 2583, 616, 27052, 585, 741, 29063, 1145, 538, 1272, 267, 855, 9039, 616, 5116, 538, 6896, 30834, 2888, 1141, 782, 859, 843, 334, 619, 540, 519, 1482, 29063, 1145, 7985, 1927, 269, 1717, 538, 667, 14397, 779, 18774, 519, 13848, 585, 29063, 1145, 616, 6896, 538, 606, 1931, 569, 1934, 12898, 269, 2353, 859, 843, 334, 619, 540, 519, 1482, 957, 616, 12475, 3293, 1927, 538, 519, 1482, 5858, 540, 18774, 267, 543, 607, 835, 7575, 4514, 883, 519, 2620, 1145, 540, 18774, 267, 519, 20450, 540, 519, 24347, 956, 1996, 2696, 1332, 540, 782, 942, 811, 1799, 528, 1275, 607, 798, 519, 20369, 3832, 779, 20507, 269, 667, 14397, 779, 19449, 3380, 540, 18774, 1142, 1683, 513, 9434, 3239, 540, 1175, 1145, 267, 4481, 4168, 1175, 1145, 269, 18774, 779, 2949, 2168, 4070, 9356, 713, 2219, 540, 1175, 1145, 269, 667, 14397, 27711, 513, 2631, 540, 3617, 1175, 1145, 609, 1142, 1007, 17781, 540, 18774, 281, 952, 596, 941, 7301, 547, 1866, 267, 596, 616, 27052, 13974, 267, 543, 952, 596, 1185, 1044, 10795, 267, 596, 1131, 3180, 1044, 27052, 538, 602, 6073, 563, 1607, 3348, 529, 8864, 568, 513, 31658, 540, 667, 14397, 779, 7826, 3661, 538, 2696, 779, 1175, 1145, 269, 634, 20507, 540, 18774, 267, 1373, 2813, 676, 2696, 267, 1131, 8806, 581, 1175, 569, 543, 1318, 569, 1175, 267, 1169, 3787, 1434, 607, 14436, 540, 1010, 3617, 771, 325, 2948, 540, 519, 29063, 1145, 602, 729, 2944, 538, 1272, 269, 5164, 326, 559, 729, 16310, 513, 2101, 1915, 538, 667, 14397, 779, 5606, 1716, 334, 269, 1280, 519, 1101, 6712, 540, 1010, 3460, 267, 667, 14397, 2877, 513, 721, 615, 945, 6785, 5111, 18774, 267, 5164, 326, 559, 729, 519, 3501, 721, 615, 269, 5164, 326, 559, 1185, 1044, 998, 18774, 1354, 543, 267, 8754, 267, 6785, 519, 8664, 269, 7216, 538, 519, 14235, 1106, 267, 5164, 326, 559, 6645, 667, 14397, 602, 646, 568, 693, 602, 1747, 1317, 24656, 4941, 1864, 693, 602, 1747, 543, 602, 646, 666, 1491, 667, 14397, 8806, 6712, 540, 519, 6073, 269, 630, 5164, 326, 559, 666, 1406, 2097, 538, 24656, 610, 1294, 2696, 1317, 646, 26218, 513, 4984, 538, 2696, 3738, 12287, 968, 811, 17709, 9232, 786, 1491, 667, 14397, 547, 2696, 563, 296, 723, 2938, 4589, 1526, 4902, 713, 607, 17548, 602, 2937, 5256, 779, 2666, 568, 3989, 267, 1247, 2696, 568, 12808, 269, 2494, 779, 2666, 543, 14985, 786, 10536, 1864, 3323, 593, 519, 1318, 6073, 267, 855, 519, 10700, 6073, 547, 2696, 568, 11461, 676, 513, 2362, 1379, 269, 5164, 326, 559, 568, 667, 14397, 779, 8806, 3659, 543, 27369, 6891, 538, 1010, 3460, 998, 18774, 269, 2060, 519, 5351, 540, 5164, 326, 559, 779, 7326, 543, 8480, 267, 667, 14397, 9108, 5293, 998, 519, 2244, 540, 519, 4666, 267, 543, 666, 3136, 593, 538, 1010, 3460, 547, 24656, 269, 769, 24228, 519, 4158, 267, 12779, 1604, 865, 4010, 4330, 676, 5164, 326, 559, 779, 589, 2940, 573, 267, 667, 14397, 538, 835, 6073, 2982, 1010, 2702, 547, 9192, 8106, 5396, 883, 513, 4168, 2239, 1899, 269, 667, 14397, 779, 538, 2620, 1145, 6609, 540, 519, 11768, 540, 18774, 2982, 1010, 2620, 4984, 538, 1796, 585, 532, 519, 4168, 4555, 540, 519, 2063, 6644, 267, 971, 607, 1175, 1145, 269, 667, 14397, 5551, 547, 2981, 519, 1034, 540, 1104, 2609, 538, 519, 7201, 16447, 540, 966, 1120, 559, 779, 22265, 960, 589, 2940, 573, 883, 519, 18774, 540, 519, 4168, 1934, 12898, 269, 0, 8702, 547, 938, 1362, 2985, 2336, 2080, 596, 786, 1265, 1271, 1344, 1519, 281, 7650, 338, 585, 1018, 649, 616, 1565, 267, 29745, 267, 3730, 7389, 1519, 18027, 2395, 543, 2542, 19701, 11974, 267, 5363, 1702, 1319, 338, 585, 938, 3584, 543, 2093, 585, 2085, 3617, 2542, 5931, 563, 5978, 1362, 568, 513, 3575, 540, 5729, 476, 273, 267, 274, 543, 476, 275, 543, 649, 960, 13085, 569, 1927, 269, 1284, 2972, 938, 1565, 543, 899, 547, 1491, 593, 1007, 2591, 269, 1411, 3513, 1265, 1806, 540, 713, 593, 938, 1362, 5816, 267, 1946, 711, 723, 513, 1413, 543, 1265, 856, 1018, 649, 723, 1044, 909, 547, 538, 938, 4928, 563, 10501, 5382, 11137, 4147, 476, 273, 910, 476, 1708, 273, 268, 1708, 274, 454, 15447, 1578, 631, 1846, 910, 4201, 4379, 476, 272, 910, 476, 1708, 273, 268, 1708, 274, 454, 15447, 1578, 631, 1846, 910, 4201, 4379, 476, 273, 910, 476, 1708, 273, 270, 1708, 274, 454, 23210, 1893, 4058, 454, 12218, 476, 273, 20821, 519, 11819, 910, 5181, 476, 1708, 273, 454, 14154, 568, 593, 513, 13628, 543, 11016, 269, 1280, 519, 15489, 2165, 267, 18027, 593, 513, 11016, 585, 1362, 476, 273, 786, 581, 10977, 630, 17413, 476, 274, 270, 275, 1152, 264, 543, 4061, 1453, 786, 2154, 10977, 20164, 593, 713, 1554, 563, 20091, 585, 20167, 5501, 454, 2171, 3494, 602, 621, 568, 1271, 547, 5000, 3025, 547, 1020, 513, 1412, 16908, 17489, 11146, 540, 7335, 23823, 14399, 786, 723, 3255, 2429, 519, 3018, 547, 1412, 1348, 585, 12257, 3299, 865, 789, 666, 3142, 538, 2835, 689, 1753, 610, 10210, 873, 689, 519, 5399, 269, 12989, 616, 513, 1592, 540, 30318, 3367, 338, 585, 5729, 476, 274, 543, 5729, 476, 275, 269, 4208, 711, 4161, 707, 1126, 547, 1224, 873, 782, 936, 519, 1032, 286, 1358, 1522, 1256, 1265, 741, 1007, 19463, 2278, 610, 3605, 741, 782, 6066, 19463, 1433, 256, 2859, 3877, 827, 938, 30318, 3883, 5903, 7420, 3657, 596, 909, 585, 519, 7420, 888, 8450, 2630, 585, 519, 8743, 1606, 19298, 547, 979, 609, 891, 5227, 5931, 543, 519, 2640, 540, 7335, 585, 20167, 5501, 563, 19119, 540, 7335, 585, 20167, 5501, 0, 2704, 25975, 20960, 4302, 729, 835, 540, 1082, 4872, 538, 519, 772, 2529, 269, 547, 605, 8010, 519, 2034, 11728, 538, 5239, 7087, 24447, 685, 4303, 267, 10416, 695, 7342, 519, 2757, 19090, 4303, 11812, 269, 589, 28487, 267, 6896, 676, 513, 2199, 1895, 1572, 634, 4414, 13780, 267, 729, 4371, 538, 25708, 19186, 340, 20960, 4302, 713, 2250, 11728, 543, 936, 476, 7785, 18793, 3576, 547, 519, 10754, 547, 2721, 6284, 547, 519, 605, 17474, 602, 729, 9896, 676, 7027, 5518, 1234, 344, 8493, 684, 334, 1175, 2947, 2395, 1354, 563, 763, 1004, 22415, 1117, 547, 519, 3280, 540, 14941, 20054, 1247, 16069, 693, 11996, 547, 5873, 14376, 10529, 945, 12038, 827, 711, 1152, 585, 519, 13373, 7321, 540, 19090, 4303, 267, 855, 849, 547, 2911, 827, 519, 2152, 6849, 7111, 4892, 538, 1715, 6792, 779, 4102, 2749, 1107, 1519, 6710, 267, 7128, 30468, 267, 936, 6041, 540, 7111, 1004, 538, 519, 2749, 779, 10470, 543, 2816, 16531, 563, 763, 1739, 616, 6547, 689, 1346, 693, 519, 15292, 912, 14881, 729, 14281, 676, 519, 605, 17474, 2223, 1767, 3794, 523, 629, 1695, 6742, 710, 345, 267, 945, 568, 19248, 657, 623, 29301, 334, 543, 18937, 26953, 269, 968, 296, 6557, 15691, 602, 713, 568, 513, 1101, 1900, 2509, 824, 2010, 540, 3609, 2242, 538, 519, 2749, 540, 19186, 340, 20960, 4302, 267, 607, 1134, 607, 519, 1533, 540, 1715, 6792, 269, 898, 779, 5949, 538, 824, 2694, 540, 519, 5375, 25955, 1519, 30188, 4975, 267, 855, 713, 568, 519, 1101, 942, 594, 4076, 2938, 513, 605, 17474, 689, 519, 2749, 540, 19186, 340, 20960, 4302, 3034, 2108, 8624, 3518, 639, 568, 513, 544, 2444, 582, 585, 2494, 28685, 20121, 4176, 2223, 1767, 8751, 3943, 2006, 267, 513, 22255, 1901, 689, 20274, 945, 29084, 538, 19186, 340, 20960, 4302, 269, 898, 779, 1279, 936, 16746, 602, 649, 1205, 7759, 540, 713, 9702, 269, 594, 4076, 1044, 3168, 4464, 547, 713, 585, 513, 1279, 942, 269, 898, 779, 711, 513, 1483, 9702, 269, 898, 779, 1175, 1945, 6837, 5293, 950, 789, 941, 711, 3257, 4376, 3116, 267, 594, 7058, 269, 594, 6557, 10583, 547, 2161, 972, 779, 1100, 811, 19090, 4303, 1934, 538, 19186, 340, 20960, 4302, 3034, 14881, 1131, 899, 547, 5360, 2939, 4975, 7027, 5518, 1234, 344, 8493, 684, 334, 585, 8380, 713, 6571, 1354, 519, 4975, 7027, 543, 1496, 1492, 14643, 7022, 316, 585, 19142, 519, 605, 17474, 2223, 1767, 15196, 324, 700, 5417, 689, 519, 14208, 16644, 6064, 543, 2098, 27376, 11031, 269, 968, 2005, 779, 2312, 602, 519, 7111, 1004, 941, 519, 3312, 11317, 540, 713, 2244, 269, 1284, 941, 1934, 2484, 1354, 476, 14983, 273, 267, 1354, 19090, 3357, 269, 589, 2603, 540, 1004, 616, 8066, 4191, 602, 2161, 2048, 288, 2513, 880, 19090, 4303, 685, 543, 594, 3858, 609, 602, 3034, 14881, 9090, 1589, 621, 779, 513, 1900, 4464, 269, 1879, 3168, 693, 782, 519, 2152, 602, 616, 8345, 1934, 538, 519, 19186, 340, 20960, 4302, 1858, 267, 2523, 950, 621, 2501, 547, 7128, 30468, 267, 621, 2501, 689, 513, 3668, 540, 2686, 8417, 2866, 269, 1411, 2461, 1152, 513, 1587, 540, 707, 3450, 269, 1284, 991, 547, 723, 1732, 2866, 540, 938, 7128, 10492, 1934, 865, 789, 666, 723, 513, 1732, 1620, 540, 938, 2528, 2223, 1767, 700, 5417, 267, 1634, 2066, 4095, 2197, 607, 513, 22299, 4073, 342, 578, 16681, 15854, 1356, 267, 11876, 641, 15854, 1356, 543, 14330, 563, 29467, 779, 513, 7934, 1063, 519, 19186, 340, 20960, 4302, 7128, 543, 4057, 1004, 543, 6805, 1004, 540, 713, 2244, 269, 1284, 26595, 609, 6634, 540, 1004, 2066, 519, 5375, 25955, 547, 13373, 880, 19090, 4303, 2223, 1767, 19162, 6480, 525, 267, 689, 519, 13722, 645, 22364, 13961, 26919, 14316, 945, 568, 513, 25719, 2875, 693, 519, 2160, 540, 1715, 6792, 563, 24685, 1931, 547, 1174, 1459, 1554, 15746, 596, 723, 547, 1174, 1018, 5949, 538, 519, 2250, 2223, 1767, 6742, 710, 345, 267, 513, 7548, 1369, 519, 2160, 540, 1715, 6792, 779, 5441, 540, 4065, 269, 968, 296, 6557, 711, 6158, 827, 519, 1837, 1686, 269, 594, 6557, 6158, 827, 1686, 689, 938, 5711, 5389, 543, 519, 1686, 602, 2501, 689, 7111, 14172, 269, 898, 779, 827, 28160, 1944, 519, 2247, 1848, 0, 20486, 616, 606, 5836, 540, 1702, 267, 2835, 616, 513, 13959, 585, 1272, 563, 20486, 616, 519, 9602, 652, 543, 1034, 3586, 540, 2828, 282, 789, 616, 519, 1034, 3015, 543, 5923, 652, 540, 5646, 8688, 832, 267, 543, 519, 1034, 3461, 540, 3610, 269, 28846, 5261, 18379, 582, 454, 2704, 5336, 27175, 629, 6798, 9335, 6013, 693, 519, 2295, 540, 2025, 20045, 24863, 611, 267, 1063, 620, 7304, 553, 515, 539, 9335, 267, 20045, 24863, 611, 779, 824, 2101, 16050, 267, 543, 519, 8109, 4871, 540, 519, 570, 580, 5142, 5211, 269, 898, 729, 8547, 538, 519, 476, 1015, 628, 2540, 950, 20045, 24863, 611, 7960, 1282, 519, 2806, 21353, 573, 1974, 607, 519, 4102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 689, 519, 7412, 476, 276, 18180, 267, 855, 621, 1131, 10804, 519, 1974, 540, 1981, 585, 513, 21383, 689, 519, 1699, 18180, 2394, 519, 15993, 729, 9516, 267, 9112, 543, 1500, 10512, 267, 799, 1223, 3362, 1491, 811, 982, 476, 1015, 1296, 2223, 5576, 342, 629, 1767, 563, 299, 6347, 21738, 23759, 517, 2274, 6308, 267, 7022, 540, 519, 5358, 538, 519, 5113, 11833, 267, 568, 849, 7255, 827, 519, 4070, 540, 519, 1788, 267, 4250, 532, 621, 1223, 1267, 538, 606, 3282, 21383, 563, 14881, 6557, 7255, 1317, 713, 1544, 1223, 1711, 606, 3282, 21383, 538, 519, 4279, 20463, 2223, 2274, 6308, 1767, 269, 968, 763, 4279, 20463, 616, 29814, 4703, 540, 1216, 602, 616, 1031, 585, 18883, 543, 6704, 1216, 269, 18610, 4248, 568, 4742, 811, 17077, 543, 621, 568, 4742, 5051, 1271, 547, 2149, 938, 15195, 2200, 3034, 13828, 2274, 6308, 543, 5576, 342, 629, 3494, 7412, 476, 276, 1058, 581, 9505, 1524, 18385, 563, 14881, 13948, 1810, 1406, 3494, 602, 519, 2640, 7412, 476, 276, 2488, 547, 519, 1004, 540, 12309, 616, 9170, 2282, 6190, 547, 17854, 519, 1981, 540, 606, 3282, 21383, 689, 519, 18180, 2223, 5576, 342, 629, 1767, 563, 763, 6876, 1063, 590, 5500, 1457, 779, 7245, 543, 2037, 8822, 568, 1543, 1190, 267, 609, 4571, 3410, 12836, 593, 519, 16880, 269, 14891, 1368, 828, 333, 31247, 11134, 717, 4958, 7770, 18724, 1067, 814, 1767, 1352, 786, 9505, 1524, 7412, 476, 276, 952, 11221, 267, 1247, 17044, 1368, 828, 333, 31247, 11134, 9291, 5576, 340, 8291, 814, 31045, 590, 5500, 1457, 779, 1544, 563, 8867, 6308, 8185, 15109, 519, 2825, 3609, 540, 10457, 950, 13359, 563, 2108, 20458, 1689, 543, 824, 2825, 2042, 616, 930, 540, 519, 1034, 1271, 2042, 6849, 519, 1158, 267, 865, 594, 8185, 2015, 1142, 10457, 685, 18879, 593, 2825, 3609, 2223, 2274, 6308, 1767, 269, 968, 23149, 3527, 616, 1390, 585, 4543, 547, 4194, 2916, 1689, 267, 855, 4657, 2825, 3609, 568, 519, 1152, 1259, 547, 723, 513, 8273, 1764, 593, 6061, 891, 2042, 1848, 0, 763, 17636, 936, 1726, 4364, 748, 19319, 568, 267, 543, 2141, 814, 1044, 267, 835, 540, 519, 811, 24819, 4798, 538, 3332, 269, 4107, 971, 2984, 616, 10464, 543, 512, 1679, 267, 2943, 519, 8941, 538, 968, 4517, 12846, 1284, 22547, 892, 798, 711, 2992, 713, 1455, 7678, 563, 2108, 4517, 12846, 1284, 22547, 2223, 2854, 676, 8366, 20421, 11968, 13353, 8648, 19784, 30683, 4856, 7773, 267, 5205, 267, 585, 835, 1153, 1032, 267, 476, 1321, 6505, 267, 1802, 560, 686, 748, 543, 15826, 14038, 538, 513, 3162, 6239, 1164, 1153, 779, 22064, 543, 16805, 1982, 563, 17357, 7773, 6212, 1010, 3007, 593, 519, 20650, 538, 606, 11628, 9255, 618, 2296, 1362, 6026, 676, 606, 2377, 8636, 1229, 4116, 3957, 570, 18223, 9741, 269, 634, 1650, 779, 2239, 10593, 4749, 1063, 9741, 543, 1200, 1053, 269, 2755, 519, 4116, 7959, 8731, 7757, 676, 1200, 2296, 8257, 11381, 267, 1008, 12097, 883, 30380, 12959, 936, 519, 6437, 267, 1200, 10453, 6560, 609, 741, 1378, 811, 13249, 12959, 563, 30469, 14746, 267, 513, 4190, 267, 8626, 27274, 10995, 543, 5260, 11803, 2875, 267, 536, 25555, 1063, 562, 7360, 6536, 5321, 543, 1835, 16244, 3731, 19899, 6479, 6306, 906, 267, 4466, 9887, 30122, 3541, 9229, 689, 1200, 2899, 268, 710, 341, 3386, 2852, 14172, 269, 6271, 5100, 8004, 945, 814, 829, 572, 30099, 998, 1454, 1920, 12416, 3762, 1153, 950, 1352, 3587, 9176, 267, 1152, 547, 2132, 519, 1739, 19496, 267, 5104, 31227, 4816, 4542, 609, 11810, 12596, 269, 2290, 1762, 812, 795, 9116, 11143, 519, 14228, 547, 799, 646, 2899, 20705, 538, 1931, 547, 7118, 513, 2852, 14172, 267, 855, 19380, 11610, 950, 646, 6544, 1161, 519, 10072, 646, 814, 530, 3754, 593, 5128, 563, 4322, 2984, 616, 17680, 6137, 267, 543, 789, 616, 1271, 547, 917, 543, 1174, 269, 18320, 1419, 267, 519, 2923, 20555, 721, 8941, 540, 3162, 6239, 16897, 281, 681, 2086, 656, 15294, 619, 267, 30380, 14228, 338, 267, 29450, 545, 10754, 269, 4856, 7773, 2982, 721, 519, 4126, 602, 2729, 538, 519, 12271, 543, 8186, 540, 891, 1053, 563, 4913, 267, 519, 2278, 779, 9186, 3006, 7679, 31013, 609, 891, 2984, 267, 16297, 532, 721, 689, 519, 6986, 5048, 540, 4126, 543, 6667, 269, 9741, 267, 519, 2296, 4116, 267, 23119, 689, 25794, 543, 513, 12004, 10455, 1950, 267, 1654, 515, 618, 569, 7898, 1005, 1200, 1053, 827, 519, 24279, 1352, 814, 1500, 585, 873, 269, 1809, 519, 3003, 1153, 15109, 9741, 741, 1034, 22064, 4116, 267, 543, 519, 15872, 799, 6086, 5573, 1200, 1434, 10639, 616, 2016, 2110, 695, 337, 3424, 563, 29012, 267, 4856, 7773, 5956, 519, 1650, 607, 513, 5266, 6662, 19784, 543, 7475, 607, 606, 3742, 267, 28450, 16045, 269, 1261, 12990, 11414, 693, 519, 1153, 267, 11479, 9986, 14746, 547, 5480, 23079, 267, 543, 1207, 903, 2472, 602, 9986, 14746, 23619, 269, 9050, 540, 519, 476, 1321, 1053, 609, 7247, 519, 2278, 7554, 1034, 17401, 10544, 519, 30425, 865, 4749, 602, 519, 5304, 568, 2451, 538, 519, 4158, 827, 519, 824, 10578, 1053, 563, 17357, 7773, 779, 2123, 5880, 1228, 1996, 31077, 2962, 568, 28955, 998, 16625, 5717, 540, 4993, 779, 4735, 531, 540, 20790, 476, 20385, 267, 519, 11786, 9086, 602, 8694, 31077, 2962, 538, 602, 1533, 269, 8616, 1034, 540, 519, 1053, 538, 713, 1433, 2212, 547, 4357, 12621, 3544, 540, 4993, 609, 8101, 13075, 3091, 538, 1688, 267, 4849, 585, 519, 1906, 945, 616, 521, 573, 25523, 22486, 883, 21569, 610, 1920, 13800, 269, 634, 4661, 1281, 711, 3100, 547, 3514, 713, 1650, 269, 4856, 7773, 779, 8044, 618, 1131, 581, 1732, 14018, 952, 646, 7024, 547, 519, 1570, 538, 513, 1906, 1296, 547, 7198, 519, 4539, 540, 713, 11786, 4735, 531, 563, 14454, 267, 968, 4517, 12846, 1284, 22547, 892, 3091, 835, 11212, 4277, 1650, 602, 13408, 1082, 12667, 5559, 553, 540, 14710, 543, 1967, 609, 799, 519, 5467, 3112, 948, 855, 1623, 12949, 1125, 269, 4856, 7773, 779, 9186, 949, 581, 8483, 1508, 950, 835, 15109, 1200, 1378, 791, 6842, 539, 5114, 547, 519, 2123, 6589, 267, 2947, 1296, 1310, 519, 2984, 941, 5030, 563, 1103, 519, 2245, 540, 5981, 918, 582, 869, 6308, 779, 968, 2467, 3657, 3143, 5753, 3371, 892, 543, 13744, 25070, 918, 9926, 565, 779, 968, 306, 822, 720, 21153, 8017, 2223, 30683, 4856, 7773, 6799, 513, 9661, 602, 693, 2899, 1008, 10280, 15265, 18354, 855, 849, 1390, 4126, 269, 0, 288, 4759, 540, 519, 14316, 540, 1234, 889, 523, 267, 835, 540, 519, 12964, 11031, 540, 5840, 945, 267, 538, 3504, 2053, 267, 7768, 519, 1004, 540, 5840, 945, 5555, 2968, 1634, 607, 519, 6014, 1004, 634, 14316, 729, 1572, 1310, 15243, 779, 7800, 652, 5067, 267, 945, 729, 4535, 547, 2274, 1695, 267, 15243, 779, 1101, 7385, 267, 543, 729, 519, 1101, 9799, 540, 15243, 779, 14930, 563, 763, 8260, 571, 651, 267, 513, 2030, 602, 7472, 32175, 23469, 32395, 543, 568, 5156, 547, 581, 513, 1129, 540, 12680, 267, 729, 7550, 607, 519, 14316, 779, 4013, 3090, 538, 519, 2038, 14206, 2540, 563, 5804, 519, 942, 540, 26056, 779, 21037, 540, 519, 2197, 2394, 519, 5748, 540, 519, 1101, 8003, 540, 5840, 267, 519, 570, 11171, 540, 1234, 889, 523, 729, 513, 4759, 540, 513, 10690, 1476, 539, 3130, 540, 5840, 924, 11031, 1634, 607, 519, 5753, 540, 5840, 269, 634, 1004, 941, 18170, 676, 740, 554, 665, 3401, 1634, 607, 7225, 2471, 1282, 2053, 540, 6433, 1317, 972, 729, 1100, 3844, 6392, 538, 1747, 693, 519, 942, 630, 5408, 519, 3883, 540, 7225, 2471, 1916, 6097, 547, 519, 3883, 540, 19606, 267, 1234, 889, 523, 610, 1234, 340, 1597, 630, 3891, 11119, 281, 267, 9208, 681, 1597, 267, 570, 9200, 1014, 681, 333, 264, 729, 519, 1101, 540, 15243, 543, 2274, 1695, 779, 3670, 14930, 543, 519, 7800, 652, 540, 15243, 779, 3670, 14930, 269, 1261, 729, 519, 1101, 540, 15243, 543, 2274, 1695, 779, 3670, 14930, 543, 519, 9510, 5067, 540, 15243, 269, 1261, 729, 519, 24663, 540, 519, 5840, 924, 14316, 540, 1234, 889, 523, 543, 519, 14316, 779, 13653, 563, 300, 18588, 651, 568, 26518, 538, 519, 6426, 630, 7049, 8412, 476, 1789, 281, 1691, 268, 1626, 1070, 543, 922, 6165, 538, 519, 6426, 568, 1419, 5532, 547, 922, 16957, 12680, 11897, 1424, 3601, 269, 11374, 513, 9488, 6514, 540, 519, 19999, 622, 1276, 1257, 543, 922, 3875, 12496, 267, 649, 941, 2111, 547, 556, 3887, 1998, 10663, 519, 4644, 540, 519, 8260, 571, 651, 538, 19978, 2621, 563, 297, 28779, 1004, 2221, 616, 3957, 1310, 543, 26731, 689, 519, 7013, 5840, 924, 8003, 540, 28311, 267, 12077, 689, 519, 11031, 540, 28311, 543, 18148, 267, 607, 1134, 607, 519, 11031, 540, 590, 830, 517, 543, 2274, 12858, 547, 513, 14758, 6708, 269, 11374, 519, 27757, 540, 519, 8003, 540, 5840, 267, 513, 1804, 1297, 540, 25232, 8179, 3106, 538, 519, 8003, 540, 28311, 563, 8601, 519, 1249, 602, 891, 1147, 5766, 919, 723, 2016, 4332, 547, 1453, 267, 24981, 543, 2274, 1695, 616, 1869, 15691, 547, 32230, 513, 1126, 540, 741, 1378, 269, 1879, 2274, 1695, 779, 5067, 1234, 889, 523, 25395, 8260, 571, 7719, 267, 621, 568, 513, 24659, 4090, 538, 519, 1650, 269, 589, 8260, 571, 651, 3597, 267, 799, 814, 519, 5920, 540, 513, 20169, 10867, 267, 729, 12926, 1031, 607, 513, 12680, 19259, 543, 607, 606, 21428, 549, 4134, 13519, 563, 1103, 519, 2250, 267, 8260, 571, 651, 729, 4749, 6752, 539, 883, 993, 2544, 1206, 267, 799, 941, 2219, 547, 3142, 1434, 19539, 267, 12115, 10322, 1006, 267, 543, 824, 6225, 2360, 547, 519, 649, 13145, 269, 634, 8260, 571, 651, 3597, 729, 1767, 547, 3458, 600, 543, 530, 841, 950, 621, 729, 6569, 689, 519, 2666, 267, 15294, 1359, 24455, 945, 5949, 547, 5873, 621, 267, 2687, 547, 835, 10828, 563, 288, 2030, 538, 519, 3337, 540, 513, 1480, 1560, 267, 519, 8260, 571, 651, 729, 2219, 547, 723, 519, 2702, 547, 11851, 3310, 936, 519, 1560, 281, 621, 729, 2219, 547, 581, 2111, 547, 16578, 2648, 610, 6379, 267, 607, 1134, 607, 3142, 1434, 19539, 267, 2724, 267, 543, 1379, 269, 0, 16498, 4065, 568, 6026, 998, 20736, 5069, 11759, 4247, 267, 799, 1331, 782, 3029, 540, 7328, 269, 5753, 616, 12290, 693, 741, 4358, 1448, 693, 519, 4098, 540, 513, 1770, 540, 960, 269, 11334, 1287, 1544, 267, 16174, 543, 2708, 547, 519, 2115, 540, 519, 1453, 267, 1354, 556, 12431, 31757, 741, 1983, 693, 519, 1439, 540, 513, 1770, 269, 623, 9950, 568, 849, 9447, 2066, 519, 1032, 998, 2898, 17469, 2621, 971, 607, 2777, 19194, 267, 23242, 2621, 2196, 676, 938, 623, 9950, 11846, 595, 4319, 543, 11846, 4303, 269, 589, 2647, 3099, 540, 1310, 1153, 15731, 1489, 938, 18027, 11865, 563, 2171, 616, 1360, 10583, 547, 723, 12236, 7108, 13815, 585, 3427, 10632, 11865, 269, 10241, 941, 27185, 19861, 538, 519, 1296, 476, 1001, 280, 270, 1708, 271, 476, 1708, 271, 270, 1708, 272, 1813, 547, 519, 5046, 866, 17455, 2438, 855, 649, 723, 1869, 6322, 547, 1683, 607, 1082, 3255, 585, 938, 1453, 607, 649, 666, 269, 7490, 2638, 856, 938, 2985, 547, 1451, 811, 4179, 2517, 4178, 13885, 2293, 1041, 31521, 2593, 4882, 1041, 338, 9706, 601, 2023, 268, 10919, 640, 17376, 574, 776, 17469, 13045, 16498, 4065, 538, 661, 312, 12396, 454, 763, 7216, 13012, 7690, 8609, 15099, 543, 5402, 9709, 11865, 616, 2966, 547, 1489, 1453, 779, 2168, 1646, 269, 1284, 2709, 3232, 22488, 3255, 585, 1453, 547, 4497, 538, 2168, 2534, 1312, 538, 543, 13964, 269, 3776, 1453, 723, 1569, 547, 1863, 2095, 1404, 585, 13455, 5712, 540, 942, 543, 616, 9415, 547, 946, 938, 1804, 9205, 1604, 1519, 938, 4104, 1153, 267, 16095, 10051, 267, 1404, 3937, 543, 1804, 5070, 335, 527, 269, 1284, 1569, 713, 1604, 782, 1032, 5180, 543, 538, 782, 4365, 2175, 547, 1489, 519, 1646, 540, 14407, 543, 5386, 5179, 1852, 267, 3666, 267, 11558, 267, 6015, 543, 1966, 6061, 1983, 269, 1284, 2263, 9066, 267, 10649, 267, 18552, 543, 11005, 2553, 543, 2671, 513, 2039, 540, 2635, 16152, 547, 1020, 938, 1620, 540, 519, 2956, 540, 513, 7059, 543, 2635, 6197, 563, 16498, 4065, 538, 23794, 272, 543, 23794, 273, 563, 8923, 1491, 513, 1413, 693, 938, 18027, 7650, 543, 938, 11144, 540, 1983, 6054, 585, 1142, 540, 519, 2127, 538, 18027, 912 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4484, 12631, 16807, 494, 394, 484, 4564, 519, 2268, 540, 741, 3769, 5086, 269, 1284, 666, 5173, 519, 1858, 540, 1022, 6906, 1210, 713, 4542, 267, 3177, 649, 723, 713, 1808, 4999, 540, 1344, 780, 14303, 9506, 547, 938, 6906, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 1287, 267, 649, 917, 519, 3259, 540, 835, 2427, 538, 713, 6906, 543, 649, 1616, 547, 5173, 519, 3259, 540, 1776, 2427, 269, 1284, 849, 917, 519, 2268, 540, 519, 3769, 5086, 1063, 891, 1079, 5011, 543, 519, 1858, 540, 519, 6906, 269, 1284, 666, 4061, 1106, 606, 3830, 1210, 519, 25066, 4542, 269, 589, 3368, 16611, 676, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 16611, 676, 5609, 540, 476, 2568, 5232, 568, 3160, 547, 476, 10619, 3597, 1614, 269, 634, 3259, 540, 12631, 16807, 494, 394, 482, 11027, 16807, 494, 394, 483, 568, 476, 1240, 17744, 267, 543, 5609, 540, 476, 2568, 5232, 568, 3597, 1614, 936, 1079, 269, 1924, 267, 649, 723, 513, 3368, 16611, 676, 476, 1240, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 16611, 676, 3597, 1614, 936, 1079, 11224, 476, 10619, 3597, 1614, 780, 4517, 649, 666, 1631, 4194, 713, 3830, 547, 1265, 519, 3259, 540, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 269, 22217, 4328, 593, 519, 2451, 11804, 2427, 267, 649, 723, 476, 1240, 3597, 1614, 936, 2185, 16611, 676, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 267, 543, 713, 568, 3160, 547, 476, 10619, 3597, 1614, 269, 1284, 666, 1287, 22599, 513, 3815, 540, 3597, 1614, 689, 1142, 2427, 540, 519, 3830, 269, 1656, 649, 666, 849, 22599, 476, 1240, 936, 2185, 1524, 547, 8370, 936, 1079, 676, 12270, 1312, 519, 19362, 543, 14009, 676, 1079, 269, 1677, 1265, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 267, 649, 991, 547, 7941, 1312, 5011, 540, 519, 3830, 676, 8370, 936, 1079, 267, 799, 568, 519, 1482, 607, 14921, 676, 519, 23483, 540, 713, 1871, 267, 799, 568, 1079, 5991, 514, 2195, 269, 1284, 1265, 1287, 602, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 568, 3160, 547, 476, 16825, 936, 8370, 780, 763, 2243, 23403, 602, 649, 1058, 2285, 938, 2626, 547, 1079, 8918, 4025, 267, 865, 649, 991, 547, 6218, 713, 607, 513, 8918, 269, 898, 15512, 19050, 382, 503, 338, 476, 1626, 269, 275, 18596, 267, 799, 547, 1079, 8918, 4025, 568, 476, 1626, 269, 4510, 269, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 568, 513, 3259, 267, 865, 621, 786, 723, 519, 1482, 3259, 4559, 607, 519, 824, 2418, 538, 519, 2243, 267, 799, 941, 17744, 780, 3383, 267, 676, 11291, 532, 519, 25066, 4542, 585, 519, 1858, 540, 513, 6906, 543, 1287, 2324, 23651, 689, 6616, 519, 1858, 540, 713, 6906, 267, 649, 1336, 602, 3259, 12631, 16807, 494, 394, 483, 11027, 16807, 494, 394, 484, 547, 1079, 8918, 4025, 568, 476, 1626, 269, 4510, 17744, 269, 0, 311, 16125, 593, 713, 3561, 692, 258, 623, 3558, 8212, 547, 2659, 4841, 281, 4635, 623, 3951, 6224, 325, 24474, 4578, 689, 11683, 13477, 5178, 2041, 4252, 910, 2985, 476, 1626, 1315, 476, 1789, 692, 8660, 5784, 692, 271, 8843, 692, 1626, 1315, 476, 1789, 692, 2304, 7151, 692, 19370, 476, 272, 281, 4855, 519, 3355, 3432, 540, 519, 3440, 630, 520, 586, 284, 2004, 269, 271, 1111, 264, 538, 18890, 780, 1103, 476, 274, 1673, 574, 5014, 519, 3355, 3432, 568, 519, 9588, 540, 519, 3355, 6991, 6152, 269, 476, 1109, 7712, 519, 3334, 616, 7396, 2630, 649, 1491, 519, 4009, 3597, 540, 519, 2040, 540, 741, 10945, 10484, 343, 334, 815, 476, 272, 269, 277, 5038, 1111, 692, 14623, 815, 476, 2004, 269, 876, 1111, 692, 15605, 815, 476, 277, 269, 6795, 278, 1111, 692, 341, 343, 334, 815, 910, 277, 269, 8064, 272, 1111, 4882, 692, 11803, 334, 815, 910, 11277, 269, 271, 4649, 1111, 4882, 692, 341, 15605, 815, 910, 276, 269, 278, 2641, 1111, 4882, 692, 1314, 815, 476, 1724, 269, 22001, 1111, 4882, 273, 692, 599, 815, 476, 1839, 269, 26764, 1111, 4882, 273, 692, 1794, 815, 910, 1704, 269, 25851, 1111, 4882, 273, 692, 11657, 5784, 476, 8660, 8525, 5784, 476, 8660, 8525, 2063, 9763, 3933, 3967, 476, 1626, 476, 866, 281, 4029, 281, 1428, 27635, 476, 1001, 278, 9664, 476, 1789, 24225, 338, 476, 19054, 9293, 476, 14065, 272, 0, 7462, 1548, 568, 519, 2626, 547, 713, 1966, 2496, 14691, 570, 12460, 281, 7183, 29120, 5384, 3970, 281, 476, 272, 4303, 692, 8340, 519, 2040, 540, 519, 1101, 476, 1839, 2474, 540, 519, 12980, 5311, 281, 476, 278, 267, 866, 267, 4029, 267, 6246, 267, 13718, 9802, 476, 1839, 628, 267, 476, 1001, 276, 692, 11764, 540, 562, 2474, 540, 606, 6673, 568, 2016, 676, 692, 2080, 10484, 333, 284, 1839, 692, 320, 272, 284, 278, 692, 323, 284, 866, 268, 278, 284, 1321, 692, 259, 306, 5332, 7807, 2765, 23533, 2410, 273, 22042, 476, 273, 320, 318, 272, 1341, 630, 333, 268, 272, 264, 323, 316, 8607, 315, 23976, 590, 5332, 7807, 2765, 346, 1839, 2410, 273, 22042, 476, 273, 1422, 9392, 476, 278, 1341, 630, 1839, 268, 272, 264, 1321, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 2410, 273, 22042, 476, 1691, 1341, 476, 2190, 1422, 9392, 476, 1321, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 2410, 273, 22042, 476, 1691, 1341, 476, 25971, 316, 8607, 315, 23976, 590, 3709, 1839, 18098, 2765, 346, 1839, 1422, 9392, 476, 23714, 2410, 273, 13157, 4037, 276, 271, 8607, 315, 23976, 1422, 7901, 539, 346, 306, 3709, 1839, 13157, 4037, 276, 271, 10592, 25275, 25275, 4499, 2525, 284, 692, 16485, 1394, 952, 596, 723, 1022, 8969, 269, 594, 993, 1934, 780, 9802, 476, 1839, 628, 267, 476, 1001, 276, 692, 2483, 9802, 476, 1839, 628, 267, 476, 1001, 276, 454, 2483, 9802, 476, 1839, 628, 267, 476, 1001, 276, 454, 13356, 476, 276, 628, 267, 476, 1001, 277, 454, 13765, 6831, 22511, 454, 15812, 607, 15937, 8382, 454, 13765, 6831, 22511, 454, 4462, 5658, 607, 15937, 8382, 454, 13765, 6831, 22511, 0, 23921, 6435, 609, 4569, 8627, 5430, 1535, 1341, 16009, 1535, 5609, 1535, 284, 16009, 1535, 936, 5609, 1535, 16748, 281, 476, 273, 6523, 317, 273, 343, 1341, 5430, 1535, 268, 272, 2496, 1892, 10261, 6435, 609, 4569, 8627, 5430, 1535, 1341, 16009, 1535, 5609, 1535, 284, 16009, 1535, 936, 5609, 1535, 16748, 281, 476, 273, 6523, 317, 273, 343, 1341, 5430, 1535, 268, 272, 2496, 27893, 540, 5430, 3287, 2567, 689, 519, 12045, 540, 20534, 269, 901, 666, 581, 6508, 1175, 899, 5609, 3287, 264, 729, 6508, 610, 811, 3362, 689, 519, 1267, 540, 5609, 3287, 264, 9717, 281, 5609, 3287, 264, 815, 5430, 4429, 31339, 281, 476, 11011, 4939, 454, 1015, 910, 476, 275, 14572, 4645, 4834, 3267, 16534, 585, 5430, 476, 273, 343, 1341, 5609, 1535, 815, 476, 272, 585, 476, 271, 522, 2999, 1535, 2999, 476, 11740, 522, 3267, 476, 271, 815, 476, 273, 7562, 476, 273, 1535, 910, 5609, 1535, 16748, 256, 476, 271, 815, 5609, 1535, 263, 273, 7562, 1535, 910, 476, 272, 994, 31339, 281, 476, 6434, 4939, 692, 5415, 2200, 692, 3412, 9712, 622, 2979, 948, 689, 13698, 2839, 570, 7473, 27633, 269, 3267, 5609, 3287, 264, 815, 476, 271, 610, 5609, 3287, 264, 815, 476, 272, 3267, 1924, 649, 798, 711, 991, 513, 9498, 563, 31339, 281, 476, 11011, 4939, 454, 1862, 649, 1131, 991, 606, 3063, 2387, 7562, 3287, 23375, 3815, 269, 3267, 3961, 2829, 602, 2387, 6523, 317, 273, 3287, 11924, 7562, 317, 273, 3287, 6661, 272, 18269, 3267, 5918, 284, 272, 270, 278, 579, 317, 278, 266, 272, 270, 276, 579, 317, 276, 266, 290, 284, 272, 270, 278, 16009, 317, 278, 3287, 11924, 272, 270, 276, 16009, 317, 276, 3287, 11924, 290, 4429, 31339, 281, 476, 10436, 4939, 454, 8196, 519, 5832, 4341, 540, 15285, 547, 1265, 16755, 540, 3252, 282, 3267, 630, 343, 264, 815, 476, 275, 5609, 630, 273, 343, 1341, 476, 274, 264, 5430, 3267, 630, 343, 264, 815, 910, 272, 1315, 630, 343, 910, 476, 273, 264, 476, 273, 5430, 1496, 476, 272, 1315, 630, 343, 910, 476, 273, 13580, 0, 20597, 760, 25478, 676, 476, 1911, 781, 454, 9359, 6657, 692, 1012, 1215, 547, 4787, 760, 4032, 676, 476, 1911, 692, 5331, 596, 12236, 513, 2603, 540, 2724, 693, 707, 1153, 27106, 9042, 780, 7312, 2816, 568, 547, 4137, 856, 875, 1454, 596, 12236, 538, 782, 780, 2467, 616, 8096, 272, 12014, 538, 15985, 956, 540, 476, 1911, 780, 2791, 1223, 1293, 519, 12014, 835, 676, 835, 267, 855, 602, 1131, 1491, 596, 513, 1279, 942, 2439, 7775, 596, 1223, 18178, 1293, 676, 476, 1911, 780, 6546, 1131, 1118, 707, 2816, 2731, 2653, 256, 15662, 350, 382, 509, 382, 502, 19050, 692, 2791, 12236, 8096, 4335, 538, 782, 2439, 2162, 4787, 760, 25478, 676, 476, 1911, 692, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 384, 478, 1109, 4787, 760, 10203, 676, 476, 1911, 568, 4946, 476, 1911, 547, 1205, 519, 1985, 1297, 780, 763, 1297, 1899, 2630, 2982, 875, 649, 18886, 519, 2724, 689, 519, 27106, 9042, 780, 2162, 4032, 909, 547, 476, 272, 267, 1822, 692, 1103, 476, 273, 526, 3446, 267, 596, 1058, 581, 2111, 547, 18178, 1293, 676, 476, 1911, 909, 547, 835, 8536, 267, 689, 3965, 269, 384, 478, 692, 4131, 781, 2119, 621, 1927, 780, 1911, 267, 476, 1220, 267, 476, 4968, 267, 476, 6110, 267, 476, 4335, 454, 7785, 267, 476, 10384, 267, 476, 8517, 267, 476, 12010, 267, 476, 1911, 271, 692, 2162, 6271, 7151, 692, 1432, 952, 649, 18178, 1293, 676, 476, 1911, 338, 689, 476, 13679, 2496, 1432, 568, 519, 1297, 1310, 476, 276, 4792, 2496, 276, 4792, 1341, 476, 1911, 815, 476, 277, 4792, 692, 15124, 2816, 256, 15662, 350, 382, 509, 382, 495, 382, 493, 692, 3086, 267, 2347, 519, 2259, 256, 15662, 350, 382, 509, 382, 502, 21417, 1411, 3513, 3314, 1018, 596, 4121, 585, 3476, 780, 2162, 7689, 6790, 752, 692, 271, 2395, 454, 28415, 519, 2259, 1169, 1554, 547, 1628, 707, 1792, 752, 454, 307, 454, 293, 454, 306, 454, 306, 454, 300, 454, 307, 454, 310, 454, 9359, 6657, 454, 28415, 519, 2259, 547, 7118, 476, 272, 8073, 15894, 692, 272, 267, 1822, 8073, 28946, 1080, 568, 4502, 8096, 272, 538, 1483, 3642, 12337, 942, 780, 272, 8073, 15894, 568, 2614, 547, 1205, 476, 272, 2243, 12943, 267, 610, 547, 5352, 476, 272, 3239, 689, 1257, 267, 538, 519, 2645, 9184, 563, 27645, 912, 10112, 793, 547, 1053, 454, 291, 340, 12393, 454, 31171, 5999, 454, 31171, 9137, 454, 10112, 793, 454, 7093, 1613, 5999, 454, 31171, 454, 291, 340, 12393, 0, 258, 4208, 798, 3615, 10581, 538, 6878, 811, 10053, 982, 2933, 2496, 1892, 737, 20076, 1046, 454, 1103, 5758, 267, 519, 6643, 5941, 519, 2623, 540, 9362, 538, 513, 8708, 543, 1946, 519, 14402, 3154, 786, 4473, 547, 519, 1283, 269, 634, 1883, 1448, 568, 602, 519, 1062, 2141, 13290, 547, 7413, 922, 1761, 1648, 267, 543, 519, 3892, 540, 9362, 538, 519, 8708, 786, 2992, 713, 269, 901, 1523, 666, 849, 581, 4294, 547, 513, 5068, 10935, 13735, 538, 1216, 267, 607, 519, 1062, 786, 4188, 3294, 547, 7413, 1761, 1648, 269, 634, 6643, 849, 20109, 593, 519, 946, 540, 1648, 7440, 538, 1620, 891, 9259, 563, 330, 20076, 1046, 454, 296, 4312, 1044, 3206, 827, 713, 11014, 267, 543, 594, 666, 1405, 4137, 621, 856, 269, 2913, 781, 2263, 513, 16866, 3510, 281, 476, 273, 18253, 540, 19440, 543, 476, 273, 18253, 540, 26775, 616, 519, 1482, 2837, 538, 513, 4216, 602, 568, 476, 1911, 260, 3608, 693, 29212, 3002, 543, 519, 9362, 269, 634, 26775, 786, 834, 15615, 257, 547, 519, 1283, 540, 519, 4216, 282, 1946, 286, 898, 781, 1447, 7372, 267, 865, 1142, 9325, 786, 723, 513, 3152, 6991, 267, 855, 12582, 1405, 621, 1847, 14477, 609, 5506, 4180, 602, 621, 7575, 8449, 538, 782, 8846, 286, 2549, 594, 7508, 1945, 286, 4746, 267, 594, 9364, 5660, 952, 596, 1131, 2491, 519, 811, 7294, 9183, 540, 513, 4496, 4216 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 607, 1134, 607, 585, 519, 8628, 3095, 543, 519, 8756, 269, 12900, 454, 14937, 13340, 4112, 1622, 1862, 12476, 7171, 267, 29577, 267, 543, 15298, 7171, 18993, 3827, 563, 27039, 593, 519, 1604, 543, 875, 519, 5122, 5365, 568, 2366, 936, 519, 10814, 267, 1071, 1314, 666, 581, 1031, 585, 1614, 2010, 540, 18993, 3827, 563, 26015, 7171, 18993, 3827, 946, 519, 3003, 2792, 8756, 4390, 1862, 811, 270, 5408, 621, 1631, 1729, 10141, 513, 2582, 1239, 5365, 269, 3509, 29135, 338, 2308, 774, 514, 1071, 1314, 585, 3490, 7171, 15202, 563, 289, 5802, 7171, 18993, 3827, 946, 1114, 12451, 547, 4163, 1896, 12746, 6786, 8195, 269, 3962, 5365, 666, 585, 581, 513, 1114, 1826, 540, 1344, 1765, 11907, 267, 5639, 267, 1256, 3381, 269, 16340, 7171, 18993, 3827, 936, 1071, 1314, 2308, 2901, 835, 610, 1079, 15791, 269, 2060, 2582, 2275, 762, 1071, 1314, 11443, 267, 12451, 616, 8237, 883, 1367, 9055, 585, 1142, 6728, 282, 930, 9055, 616, 21248, 585, 19915, 27399, 2792, 269, 32680, 2275, 762, 1071, 1314, 11443, 3096, 835, 10814, 585, 11488, 543, 835, 10814, 585, 8391, 1239, 267, 1142, 609, 2789, 9055, 269, 16340, 7171, 18993, 3827, 616, 4998, 585, 1279, 9883, 269, 774, 1157, 1071, 1314, 568, 1419, 1031, 585, 29577, 18993, 3827, 563, 19284, 29577, 18993, 3827, 267, 15298, 7171, 18993, 3827, 666, 1152, 946, 835, 1344, 8756, 269, 2961, 8175, 7171, 568, 1655, 14018, 585, 519, 8880, 1016, 17882, 338, 630, 11357, 6339, 4103, 264, 538, 4853, 5468, 269, 3509, 29135, 338, 946, 774, 514, 1071, 1314, 585, 15298, 7171, 15202, 269, 12900, 454, 14937, 13340, 4112, 1622, 1862, 24400, 590, 5425, 296, 15791, 563, 272, 269, 10866, 269, 2659, 1949, 2773, 5673, 593, 519, 2298, 540, 707, 590, 5425, 296, 15791, 269, 9453, 1164, 7779, 15791, 4481, 2966, 585, 590, 5425, 296, 3156, 267, 596, 1223, 581, 28855, 1944, 707, 590, 5425, 296, 3076, 5202, 269, 769, 2536, 1640, 15791, 28011, 811, 270, 5408, 621, 1631, 611, 9532, 267, 543, 2165, 20788, 666, 2014, 4351, 6959, 267, 1239, 13313, 267, 610, 1256, 513, 1062, 16154, 256, 4563, 13340, 10378, 590, 5425, 296, 595, 1963, 543, 3334, 616, 519, 6207, 1655, 7779, 2472, 269, 1656, 789, 516, 16798, 585, 1272, 563, 273, 269, 20099, 269, 1280, 8445, 3060, 2773, 267, 1118, 2386, 707, 15791, 616, 519, 1318, 3259, 269, 1306, 10814, 8255, 1205, 3476, 267, 6786, 14020, 543, 616, 811, 11630, 547, 6846, 269, 11408, 946, 519, 20125, 10814, 585, 519, 4305, 269, 1656, 3251, 1369, 519, 590, 5425, 296, 268, 272, 543, 590, 5425, 296, 268, 273, 4441, 540, 3670, 7397, 610, 1614, 7397, 585, 16258, 590, 5425, 296, 269, 5457, 267, 713, 568, 519, 2698, 3259, 540, 519, 1668, 267, 1519, 782, 4835, 543, 5007, 15791, 269, 12900, 0, 288, 838, 622, 540, 6177, 2770, 2665, 2094, 519, 4098, 540, 519, 1032, 538, 3624, 814, 4966, 8384, 5702, 607, 6634, 540, 1004, 543, 16738, 616, 593, 519, 1847, 6619, 540, 519, 30803, 1715, 5729, 9702, 267, 519, 1158, 781, 4102, 5993, 1480, 9194, 563, 19770, 814, 4080, 811, 982, 476, 2004, 670, 278, 301, 280, 5563, 538, 476, 1001, 275, 1310, 519, 8833, 29860, 689, 5017, 547, 1004, 585, 519, 1101, 942, 2063, 1032, 269, 634, 3644, 3788, 2182, 547, 6952, 543, 1034, 2665, 723, 1044, 5532, 547, 3346, 609, 16738, 267, 855, 3744, 5855, 602, 1223, 1689, 952, 621, 4573, 919, 883, 513, 1106, 602, 2636, 621, 547, 3262, 3362, 1851, 1004, 563, 2690, 1346, 945, 3950, 14798, 267, 519, 9702, 267, 799, 5956, 3967, 269, 476, 4029, 267, 568, 2141, 20468, 1317, 621, 2501, 1282, 519, 5162, 3275, 950, 2770, 3335, 986, 2471, 269, 5410, 602, 547, 7366, 540, 6634, 540, 1004, 2443, 543, 1419, 5017, 2443, 16081, 4364, 1927, 593, 21772, 543, 824, 3029, 540, 6283, 2469, 1753, 267, 543, 621, 781, 2141, 513, 3787, 540, 513, 13708, 1076, 269, 3624, 9193, 476, 274, 269, 277, 5479, 15143, 786, 581, 3144, 936, 519, 9702, 4005, 563, 21893, 568, 519, 1101, 5162, 649, 4312, 2938, 670, 278, 301, 280, 269, 1284, 616, 538, 17946, 14975, 8513, 2437, 1767, 27068, 19134, 331, 267, 2622, 2657, 9257, 22557, 2006, 538, 25611, 269, 834, 2171, 723, 2938, 606, 909, 11034, 538, 2665, 267, 799, 649, 616, 5316, 5024, 10416, 547, 519, 1249, 602, 621, 781, 5162, 269, 2334, 5916, 609, 513, 2603, 540, 3350, 540, 1004, 538, 22125, 14884, 609, 17944, 1223, 2285, 4473, 547, 513, 2603, 811, 5563, 267, 855, 649, 4312, 849, 2938, 538, 2250, 1296, 1141, 621, 18387, 1405, 4799, 763, 1101, 670, 278, 301, 280, 2665, 941, 4080, 538, 3735, 4728, 2282, 29258, 267, 543, 811, 982, 476, 1220, 1866, 723, 2094, 1044, 4857, 267, 1519, 930, 476, 2004, 7972, 269, 589, 476, 4029, 4458, 6040, 4387, 2968, 835, 540, 519, 5767, 28896, 267, 9870, 12194, 646, 949, 723, 1044, 7783, 693, 519, 6413, 1141, 646, 5249, 267, 855, 9039, 540, 1010, 2550, 610, 824, 2673, 17066, 723, 4080, 2770, 2589, 267, 2687, 547, 519, 29258, 27391, 531, 8189, 540, 2657, 543, 7731, 12020, 269, 0, 2252, 596, 2307, 1034, 3214, 267, 789, 786, 2995, 596, 602, 789, 1205, 18901, 540, 32467, 16051, 2478, 1317, 540, 741, 5920, 269, 1809, 952, 596, 4001, 891, 3214, 32467, 16051, 529, 5013, 267, 789, 666, 1205, 19832, 676, 891, 7786, 543, 789, 786, 1451, 811, 827, 519, 2067, 1272, 4783, 538, 519, 1604, 563, 763, 1101, 1906, 3877, 602, 3214, 1058, 917, 827, 891, 32467, 16051, 2478, 616, 827, 519, 5920, 269, 1452, 7786, 723, 741, 2062, 3916, 2125, 25649, 538, 4395, 540, 741, 4703, 799, 18613, 519, 32467, 2990, 269, 1809, 3214, 1058, 917, 602, 789, 5749, 1406, 2731, 32467, 855, 621, 568, 513, 2067, 2990, 602, 789, 946, 547, 5965, 585, 606, 4323, 593, 741, 10352, 269, 6271, 4277, 1249, 585, 3214, 827, 32467, 16051, 2478, 568, 602, 891, 7786, 1152, 2874, 540, 513, 1507, 6712, 540, 519, 16051, 529, 1920, 269, 1656, 519, 1964, 540, 519, 16051, 2478, 798, 711, 8209, 723, 519, 32467, 2990, 602, 789, 798, 563, 2467, 616, 849, 513, 2603, 540, 3214, 945, 2307, 952, 32467, 16051, 2478, 11116, 3425, 269, 21813, 532, 16051, 2478, 666, 11116, 3425, 855, 789, 3335, 1810, 1406, 1317, 3425, 616, 711, 741, 10352, 269, 1358, 949, 11116, 952, 789, 1745, 12219, 269, 634, 1434, 3364, 568, 602, 741, 17486, 616, 3592, 2147, 547, 606, 1884, 11116, 855, 519, 1928, 666, 3533, 14897, 543, 621, 568, 711, 20715, 1932, 13034, 10248, 513, 21813, 532, 31615, 529, 454, 1103, 1931, 547, 1376, 554, 10248, 513, 32467, 16051, 529, 267, 2322, 519, 4212, 2013, 883, 513, 17512, 10740, 267, 538, 2013, 596, 616, 4058, 547, 1832, 873, 607, 10130, 269, 589, 17512, 10740, 666, 1491, 519, 1106, 540, 513, 3165, 12826, 267, 513, 25888, 20220, 610, 1022, 824, 8708, 267, 607, 1279, 607, 972, 568, 513, 1507, 7936, 540, 2030, 2451, 3330, 269, 12305, 17450, 593, 519, 1283, 547, 2061, 519, 562, 8233, 338, 689, 3478, 2476, 855, 2636, 585, 1312, 2011, 2095, 543, 1426, 6765, 269, 634, 4212, 2013, 1058, 581, 2859, 1862, 1432, 1411, 9701, 5700, 6168, 21813, 532, 31615, 529, 454, 303, 2001, 532, 16051, 529, 616, 7786, 609, 936, 476, 272, 267, 8517, 2249, 782, 936, 519, 1158, 269, 901, 5521, 779, 1034, 10058, 4183, 568, 741, 30230, 4771, 7953, 538, 4395, 602, 1413, 607, 952, 789, 616, 32467, 269, 1452, 7953, 616, 2966, 547, 1732, 694, 1944, 543, 8066, 741, 10352, 269, 21813, 532, 16051, 2478, 616, 20027, 282, 538, 1249, 789, 616, 540, 1390, 948, 547, 6705, 538, 4189, 7786, 602, 616, 21006, 519, 7031, 799, 568, 835, 540, 519, 32467, 16051, 529, 5013, 602, 616, 5963, 6225, 269, 31615, 2478, 2482, 5798, 538, 13999, 1141, 2859, 1862, 303, 2001, 532, 31615, 529, 607, 5484, 1030, 2772, 24538, 454, 303, 2001, 532, 16051, 2478, 1404, 606, 1271, 1909, 538, 519, 1604, 543, 547, 519, 5117, 269, 1358, 616, 1360, 1271, 543, 6225, 547, 6705, 2094, 789, 3049, 593, 10860, 267, 8754, 267, 9013, 519, 2208, 540, 741, 2551, 543, 7303, 1022, 2800, 602, 789, 666, 2014, 593, 519, 7031, 607, 1134, 607, 547, 519, 2371, 693, 1753, 269, 1717, 267, 835, 540, 519, 796, 1952, 324, 2718, 32467, 16051, 529, 5013, 568, 602, 267, 1373, 11975, 267, 789, 849, 4043, 547, 3049, 593, 741, 1378, 2186, 269, 1879, 596, 1413, 693, 32467, 16051, 529, 593, 2859, 1862, 303, 2001, 532, 31615, 529, 12700, 454, 5472, 936, 519, 1158, 267, 972, 616, 5111, 835, 8536, 543, 5216, 4627, 1634, 2249, 540, 7786, 19882, 689, 519, 12593, 31615, 529, 269, 5221, 540, 519, 26715, 22464, 540, 519, 16051, 529, 685, 11495, 543, 1360, 3989, 4395, 7953, 602, 616, 18761, 693, 513, 1880, 5086, 23401, 513, 32467, 2990, 267, 713, 1024, 340, 568, 1034, 4122, 5219, 607, 519, 32467, 16051, 529, 269, 634, 32467, 16051, 529, 2501, 689, 606, 3003, 267, 8273, 1895, 540, 16051, 1749, 267, 689, 519, 1362, 24538, 320, 543, 689, 519, 18105, 636, 19848, 18649, 269, 4107, 32467, 16051, 529, 5013, 2859, 1862, 303, 2001, 532, 31615, 529, 12700, 607, 513, 8891, 454, 288, 2603, 540, 1004, 917, 602, 519, 32467, 16051, 529, 568, 1175, 513, 2241, 5521, 2713, 538, 519, 10651, 610, 519, 11396, 269, 1280, 22254, 267, 891, 7786, 616, 3730, 1317, 789, 948, 1205, 7759, 540, 7786, 602, 949, 3548, 519, 5810, 543, 519, 3762, 540, 741, 2371, 269, 634, 1482, 4341, 849, 10039, 547, 6705, 945, 946, 32467, 16051, 2478, 585, 11641, 1852, 269, 1809, 1759, 593, 32467, 16051, 529, 5013, 267, 930, 1004, 2965, 723, 891, 7786, 607, 741, 10130, 269, 769, 1931, 547, 723, 513, 32467, 2859, 1862, 0, 289, 792, 5211, 1019, 7719, 454, 763, 19594, 5211, 1019, 7719, 616, 513, 476, 272, 267, 25228, 547, 476, 272, 267, 29483, 2929, 1032, 2025, 1895, 540, 1019, 7719, 538, 7187, 962, 4157, 517, 267, 4516, 269, 1358, 2099, 513, 4183, 1644, 547, 4012, 3901, 1143, 540, 519, 3573, 27963, 20044, 773, 14066, 16384, 928, 748, 19435, 543, 616, 2808, 547, 581, 519, 7262, 10137, 540, 519, 22070, 1606, 11322, 7678, 532, 27963, 20044, 773, 546, 833, 2220, 1301, 563, 268, 5576, 342, 629, 267, 8355, 8291, 700, 5919, 774, 1251, 15625, 267, 667, 699, 330, 808, 5919, 18200, 27255, 267, 6276, 918, 5919, 11511, 6471, 267, 7917, 589, 5919, 2806, 321, 2714, 267, 808, 269, 16827, 630, 1220, 275, 268, 5400, 268, 736, 1040, 634, 19594, 5211, 10085, 7719, 630, 14695, 276, 268, 14695, 280, 8575, 2567, 31023, 27402, 540, 519, 27963, 20044, 773, 10085, 651, 2220, 1301, 883, 962, 4157, 517, 267, 4516, 476, 15836, 630, 274, 268, 275, 1040, 3163, 17445, 269, 533, 269, 476, 11260, 563, 347, 1607, 2376, 827, 513, 962, 4157, 517, 4087, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 8198, 347, 1607, 2376, 827, 513, 1808, 8225, 17027, 4183, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 23175, 338, 540, 15716, 630, 18721, 994, 288, 9843, 540, 6876, 568, 513, 1875, 1532, 4193, 3561, 24152, 519, 1292, 2152, 4143, 547, 513, 17895, 894, 630, 4820, 2996, 1222, 610, 824, 264, 6876, 269, 589, 9843, 540, 6876, 3561, 786, 1152, 581, 17997, 762, 950, 621, 568, 7550, 883, 513, 2385, 4579, 543, 13604, 8815, 2390, 269, 19402, 602, 1448, 267, 513, 9843, 540, 6876, 786, 711, 581, 16155, 11006, 630, 8450, 674, 2280, 7815, 7420, 6052, 642, 24542, 15278, 540, 1715, 10215, 476, 273, 715, 313, 28384, 476, 275, 3451, 1916, 4467, 14293, 16296, 3690, 9146, 454, 1103, 513, 5010, 3959, 11834, 538, 519, 5177, 267, 513, 9843, 540, 6876, 568, 1419, 1634, 607, 519, 9843, 540, 2474, 630, 9816, 4811, 1040, 634, 1292, 3483, 540, 519, 9843, 540, 2474, 568, 547, 2697, 543, 5031, 519, 4170, 540, 1312, 519, 22673, 543, 519, 4136, 6471, 540, 519, 3959, 269, 1703, 616, 513, 1297, 540, 5383, 540, 1210, 519, 9843, 540, 2474, 269, 1280, 3236, 267, 676, 8876, 713, 856, 267, 1312, 6105, 786, 4628, 1174, 1018, 789, 616, 1641, 547, 267, 543, 2569, 610, 13373, 880, 1022, 21390, 689, 2901, 5428, 269, 634, 9843, 540, 2474, 7363, 3568, 519, 1739, 1344, 912, 268, 19672, 540, 519, 3959, 22673, 454, 268, 19672, 540, 519, 3959, 4136, 6471, 454, 268, 17372, 540, 519, 5010, 3959, 454, 268, 19672, 540, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1240, 2048, 288, 794, 6486, 685, 616, 849, 3769, 538, 519, 4730, 454, 1372, 1188, 547, 1118, 2386, 4730, 808, 32271, 13985, 320, 568, 513, 2603, 540, 1187, 2336, 297, 32271, 779, 476, 3607, 2243, 6486, 616, 782, 11609, 547, 1039, 2796, 543, 1034, 454, 10623, 1155, 31002, 4143, 6863, 585, 5716, 547, 1451, 269, 7844, 4267, 454, 732, 2016, 607, 1134, 269, 634, 2495, 540, 519, 2055, 666, 1419, 581, 6508, 454, 5228, 519, 12383, 593, 519, 6486, 267, 7132, 513, 8144, 568, 2139, 454, 5228, 519, 17985, 302, 3896, 630, 698, 665, 1841, 2593, 1916, 763, 6486, 4183, 5545, 7097, 630, 327, 4275, 1146, 320, 267, 737, 520, 752, 3570, 267, 543, 513, 1906, 2241, 454, 16988, 10202, 264, 5705, 12822, 609, 6535, 1690, 328, 3197, 630, 328, 4318, 269, 519, 9904, 264, 1107, 547, 1118, 454, 527, 2653, 585, 14987, 547, 1224, 519, 6486, 267, 1247, 849, 3850, 930, 454, 641, 1636, 29774, 585, 5716, 547, 2259, 7114, 519, 1599, 540, 519, 454, 30153, 3197, 267, 1932, 563, 3528, 1374, 267, 1142, 942, 513, 3014, 568, 5129, 267, 519, 6486, 786, 1459, 2933, 454, 514, 513, 1114, 267, 4351, 1931, 267, 543, 5716, 1205, 547, 6108, 3160, 942, 1312, 454, 27965, 543, 16460, 1142, 540, 519, 2055, 269, 901, 5012, 547, 5716, 454, 638, 1157, 569, 1831, 5432, 609, 519, 8239, 543, 6863, 9072, 593, 519, 454, 11568, 267, 543, 3384, 513, 4514, 1620, 540, 519, 3077, 1893, 1142, 454, 5503, 789, 1404, 563, 297, 32271, 13985, 320, 568, 606, 17170, 1907, 585, 519, 13680, 2875, 540, 5545, 2676, 10175, 1346, 1175, 1019, 6137, 741, 19462, 538, 519, 1893, 585, 519, 1101, 454, 5503, 269, 769, 519, 4928, 267, 621, 568, 1655, 1031, 607, 851, 540, 513, 1187, 3992, 3636, 909, 454, 263, 7474, 4991, 3025, 6340, 1070, 610, 5129, 693, 519, 1439, 540, 513, 3992, 607, 513, 454, 339, 805, 585, 2324, 2182, 538, 1362, 2336, 7918, 21998, 267, 4341, 6656, 563, 263, 3607, 2243, 6486, 2676, 1240, 2962, 6486, 264, 0, 290, 1846, 723, 5129, 606, 1271, 1909, 538, 519, 1686, 543, 2528, 540, 5527, 585, 5215, 540, 1296, 269, 9147, 21072, 941, 1851, 519, 1101, 1004, 547, 6469, 622, 7314, 267, 543, 789, 941, 26060, 607, 10723, 2831, 563, 290, 1846, 941, 2938, 607, 25330, 540, 519, 1753, 543, 941, 2219, 547, 723, 519, 1379, 547, 20758, 1055, 9409, 14326, 269, 1358, 941, 849, 2404, 609, 1585, 24587, 267, 1519, 645, 770, 564, 267, 519, 15831, 540, 12680, 267, 2648, 267, 543, 7772, 267, 945, 729, 1419, 13269, 607, 513, 3032, 610, 513, 4807, 609, 513, 3032, 781, 2212, 563, 1103, 3504, 5527, 267, 7314, 941, 865, 3810, 9833, 602, 11318, 835, 729, 19439, 762, 676, 2669, 269, 1879, 513, 3032, 5747, 267, 922, 5411, 1131, 695, 1511, 741, 32071, 4900, 607, 513, 1129, 540, 31366, 543, 519, 3032, 1131, 581, 544, 17026, 1881, 543, 12617, 609, 1390, 16008, 563, 2467, 616, 849, 1082, 2984, 543, 17691, 827, 7314, 538, 3504, 5527, 269, 2290, 540, 519, 1034, 4583, 568, 519, 1650, 540, 519, 3032, 15831, 645, 770, 564, 267, 945, 568, 1767, 547, 723, 6870, 1200, 13794, 689, 9409, 14326, 543, 2068, 269, 6271, 1650, 6645, 540, 513, 3032, 3957, 31410, 945, 10710, 519, 1272, 540, 1200, 8227, 676, 20414, 513, 20715, 13131, 563, 9213, 267, 7314, 3136, 547, 581, 606, 1271, 851, 540, 12266, 2528, 269, 1358, 616, 1419, 2938, 887, 5446, 519, 10754, 543, 10246, 903, 540, 4872, 899, 595, 23879, 543, 616, 3622, 1134, 2389, 11217, 730, 676, 519, 2199, 2551, 269, 3509, 21072, 849, 1832, 7314, 607, 10130, 543, 2015, 873, 547, 581, 513, 11537, 4759, 540, 519, 1920, 269, 0, 19111, 1353, 281, 11427, 269, 808, 1923, 16711, 6780, 948, 454, 1103, 2489, 267, 1875, 659, 1393, 28491, 637, 21732, 1416, 3322, 519, 2359, 540, 5312, 3676, 971, 607, 5312, 30126, 5761, 2068, 630, 4596, 11520, 264, 543, 10447, 269, 634, 2175, 1590, 581, 7307, 543, 6462, 547, 948, 2550, 4383, 741, 2589, 267, 543, 2061, 606, 12615, 566, 269, 1280, 1875, 14092, 1393, 28491, 637, 21732, 1416, 267, 972, 616, 513, 1297, 540, 2200, 2139, 563, 268, 5851, 3782, 2533, 281, 5851, 3782, 2533, 1683, 8808, 1416, 267, 2168, 3797, 267, 543, 824, 1489, 2533, 538, 519, 3461, 779, 1753, 269, 1452, 2533, 948, 2550, 1451, 547, 4383, 741, 2589, 267, 6895, 741, 2783, 267, 543, 1020, 1582, 13282, 1983, 269, 14904, 666, 4324, 689, 1753, 3782, 2533, 585, 6646, 2359, 267, 10138, 2126, 267, 543, 811, 563, 268, 17791, 8234, 7896, 281, 14904, 666, 5968, 20716, 609, 1072, 1416, 7426, 1210, 2029, 971, 607, 2756, 27019, 325, 17182, 267, 1257, 6835, 267, 543, 824, 4066, 269, 17791, 8234, 568, 3226, 5363, 585, 1346, 2550, 945, 723, 3908, 6283, 610, 10688, 3681, 269, 1358, 666, 1569, 3782, 689, 741, 5321, 269, 17791, 8234, 2533, 666, 849, 948, 3782, 7426, 6895, 2550, 685, 2783, 543, 1683, 1489, 543, 2069, 563, 268, 8682, 31193, 543, 3461, 2069, 3292, 281, 15789, 602, 4001, 2550, 827, 741, 4576, 267, 741, 2589, 267, 610, 875, 547, 2057, 12615, 725, 616, 2139, 269, 634, 3292, 949, 1331, 6044, 593, 1582, 13282, 267, 6197, 1689, 267, 610, 6646, 2359, 269, 634, 3292, 7668, 2550, 547, 1404, 513, 811, 3742, 1909, 538, 519, 2359, 540, 741, 1072, 2175, 269, 901, 666, 2333, 3461, 7115, 267, 543, 2569, 1224, 3939, 3928, 563, 268, 5516, 11558, 270, 4134, 8408, 4058, 281, 5637, 616, 1271, 547, 2327, 602, 2550, 3136, 8391, 3617, 1489, 543, 1416, 1310, 6028, 519, 6413, 269, 5516, 11558, 3322, 25640, 1416, 1063, 3782, 7426, 267, 1247, 11166, 4058, 3322, 4058, 585, 2550, 685, 5571, 1416, 2115, 1310, 789, 4734, 519, 6413, 269, 5516, 11558, 543, 11166, 1544, 666, 2061, 1224, 332, 3827, 676, 4180, 2550, 1205, 519, 3617, 1489, 543, 1246, 5346, 563, 6962, 281, 6348, 659, 1393, 5516, 585, 9315, 1470, 637, 21732, 12983, 3340, 606, 5044, 540, 2200, 602, 786, 1489, 519, 3461, 779, 7115, 543, 948, 2061, 1224, 3939, 269, 769, 1931, 547, 2327, 602, 5312, 2550, 616, 8391, 519, 1318, 1416, 267, 11558, 540, 1416, 267, 543, 17579, 532, 4566, 267, 1753, 3782, 2533, 267, 7658, 8234, 3292, 267, 3461, 1582, 31193, 267, 2069, 267, 543, 2069, 3292, 607, 1134, 1416, 11558, 543, 11166, 1544, 267, 782, 891, 2533, 543, 2200, 1590, 581, 2139, 269, 6348, 14092, 1393, 1416, 2337, 2087, 4093, 585, 2550, 543, 2539, 3782, 3790, 676, 3246, 873, 609, 2200, 547, 948, 4383, 2589, 543, 2057, 12615, 725, 269, 0, 763, 1101, 2479, 1634, 2013, 540, 513, 25438, 850, 18413, 5798, 1510, 513, 5256, 19898, 1107, 513, 4686, 10285, 4640, 602, 1223, 581, 14360, 1394, 547, 17878, 1107, 814, 1044, 13006, 676, 3744, 563, 7021, 519, 2063, 1079, 5756, 267, 18186, 5505, 723, 5051, 13006, 519, 1360, 4686, 9451, 24260, 10285, 4640, 540, 31399, 894, 851, 1156, 14003, 630, 17025, 264, 538, 799, 8951, 2482, 5798, 610, 2285, 4332, 547, 741, 15556, 1510, 20282, 563, 29128, 1631, 267, 513, 2647, 2039, 540, 7103, 1519, 5017, 267, 1875, 268, 822, 1014, 20641, 899, 28499, 543, 15315, 607, 1134, 607, 930, 24991, 267, 1519, 16142, 267, 723, 1044, 3254, 547, 16196, 538, 713, 9490, 7154, 563, 4913, 267, 2055, 723, 7283, 936, 519, 12136, 540, 713, 12093, 7154, 3544, 540, 891, 9451, 24260, 1899, 1137, 1107, 1034, 16113, 538, 16015, 267, 25438, 3796, 267, 32613, 2209, 543, 575, 9618, 10118, 267, 1767, 3173, 267, 1519, 1346, 689, 519, 9098, 12443, 23855, 545, 4659, 543, 3557, 2160, 538, 519, 2475, 563, 19185, 585, 971, 513, 4686, 10285, 4640, 538, 25438, 27482, 2249, 814, 1044, 3226, 27278, 3744, 607, 891, 7103, 3668, 3023, 15954, 543, 741, 3023, 8990, 568, 6417, 676, 519, 2837, 538, 799, 5798, 1020, 543, 24011, 563, 1103, 519, 1007, 1353, 267, 3370, 593, 13723, 538, 519, 10334, 16707, 4760, 267, 3173, 723, 13006, 519, 1101, 2963, 540, 674, 303, 538, 519, 1977, 25438, 850, 267, 595, 10635, 1328, 331, 639, 1035, 583, 639, 563, 763, 5767, 1382, 568, 1759, 593, 519, 476, 1001, 279, 8343, 540, 513, 19157, 4775, 1977, 25438, 850, 4371, 538, 24811, 585, 476, 1626, 1296, 267, 799, 9788, 513, 804, 8553, 540, 5798, 267, 835, 540, 799, 8659, 513, 20559, 1043, 9087, 28127, 267, 10834, 1352, 729, 513, 4775, 899, 1200, 3993, 563, 763, 6602, 267, 2687, 547, 519, 3173, 267, 568, 519, 968, 14140, 12319, 892, 540, 713, 1360, 4686, 7154, 540, 12093, 538, 513, 25438, 850, 2249, 563, 16729, 4719, 2079, 267, 3744, 9672, 602, 519, 3993, 25438, 850, 9788, 519, 5798, 1510, 1022, 3403, 689, 513, 5256, 19898, 1107, 513, 1184, 4122, 1634, 607, 968, 341, 597, 6265, 4332, 9731, 4407, 519, 5798, 1705, 711, 24011, 267, 519, 6602, 814, 27278, 27563, 607, 621, 6920, 972, 568, 513, 1455, 12105, 5169, 540, 519, 4686, 10285, 4640, 2066, 20641, 267, 25438, 559, 2103, 543, 5017, 563, 763, 4681, 2417, 6318, 519, 7872, 602, 17255, 14077, 540, 25438, 559, 2103, 543, 5017, 971, 607, 17878, 543, 533, 614, 14795, 949, 723, 849, 1185, 713, 4686, 10285, 4640, 563, 22154, 1007, 2963, 3091, 21915, 531, 1944, 4030, 883, 519, 2009, 10285, 7207, 540, 17255, 2895, 13239, 1014, 14077, 540, 25438, 559, 2103, 267, 16113, 519, 623, 614, 13239, 807, 543, 20550, 13239, 807, 2223, 3744, 5206, 538, 519, 1353, 563, 297, 518, 727, 5975, 26385, 862, 1742, 11882, 3557, 593, 3803, 29364, 11802, 936, 3502, 516, 667, 877, 1923, 16737, 5240, 11473, 454, 296, 5129, 585, 595, 3559, 22855, 5869, 2507, 646, 4682, 476, 1240, 631, 2177, 8025, 306, 796, 18566, 523, 609, 1863, 10275, 6506, 1996, 721, 454, 29662, 758, 338, 25391, 788, 6390, 3217, 3390, 609, 13744, 31670, 332, 1310, 29070, 1101, 1554, 585, 2475, 693, 27550, 1457, 19067, 454, 12850, 1869, 513, 1966, 538, 1970, 268, 2391, 2127, 540, 20122, 7505, 454, 4338, 11682, 5588, 5308, 281, 1306, 1325, 18090, 22260, 7444, 14897, 267, 1007, 8916, 616, 17729, 538, 741, 1747, 454, 5278, 715, 13034, 269, 7264, 616, 536, 22736, 693, 606, 3921, 12099, 8506, 873, 547, 2759, 741, 1876, 985, 454, 3963, 17286, 6511, 717, 727, 345, 3680, 338, 4173, 16170, 3336, 4438, 513, 14068, 10076, 2657, 4303, 454, 2764, 11788, 4303, 28881, 1546, 1023, 1411, 2052, 19255, 589, 3650, 540, 8262, 20958, 17963, 454, 291, 787, 5696, 5241, 2659, 16164, 13201, 6181, 527, 11588, 267, 4340, 547, 20226, 454, 9199, 6665, 22398, 576, 12079, 6053, 17372, 525, 13177, 27997, 23620, 681, 636, 832, 454, 8072, 306, 3563, 654, 1161, 685, 19410, 776, 281, 717, 342, 754, 14979, 9466, 4495, 590, 4660, 8585, 328, 9466, 12984, 519, 4107, 7861, 574, 1242, 540, 918, 1328, 9466, 779, 654, 1161, 454, 3963, 8859, 1235, 5213, 1406, 13760, 19901, 1937, 787, 454, 19770, 268, 19328, 31195, 4730, 856, 593, 519, 7599, 454, 301, 1157, 623, 633, 1777, 320, 25001, 5722, 7961, 902, 607, 4414, 1924, 343, 10145, 9338, 5101, 22299, 18112, 3421, 476, 274, 268, 271, 454, 297, 600, 773, 10557, 4354, 26385, 543, 14811, 25669, 700, 2129, 534, 16874, 2048, 288, 1375, 4809, 6052, 685, 2060, 3962, 4033, 538, 2048, 26466, 21294, 11016, 20371, 21158, 2641, 3108, 3516, 454, 15187, 1415, 24660, 29808, 540, 1761, 2048, 518, 340, 1632, 540, 3642, 12454, 10617, 685, 602, 1223, 1291, 547, 2048, 684, 19960, 514, 762, 685, 4539, 454, 21158, 2420, 3108, 3516, 454, 4811, 10157, 547, 948, 2342, 2736, 922, 5607, 13863, 21341, 454, 21158, 2537, 3108, 3516, 454, 289, 27739, 16628, 3081, 2951, 3747, 6051, 568, 2048, 3467, 14388, 685, 982, 646, 16545, 454, 299, 604, 5598, 2537, 3108, 3516, 454, 8072, 763, 13642, 25328, 685, 10060, 15168, 787, 25306, 5080, 1440, 2478, 4825, 790, 618, 5851, 1763, 6342, 585, 2776, 14741, 699, 30587, 630, 13052, 12710, 4785, 25893, 994, 299, 604, 5598, 2641, 3108, 3516, 454, 19322, 339, 1415, 16176, 1772, 593, 513, 2048, 3891, 2718, 17714, 685, 2991, 14977, 2401, 12254, 531, 663, 6555, 13396, 454, 293, 12099, 2641, 3108, 3516, 454, 28324, 21595, 12213, 839, 15303, 334, 14272, 532, 2060, 23771, 268, 273, 10298, 543, 23088, 30171, 10241, 454, 21158, 1704, 3108, 3516, 454, 25187, 16234, 2161, 2229, 9505, 6658, 5526, 17149, 454, 21158, 2420, 3108, 3516, 454, 306, 1460, 628, 18065, 7333, 1098, 6107, 1072, 1416, 538, 17996, 543, 17906, 0, 9202, 281, 16511, 725, 540, 544, 22396, 2102, 543, 454, 28095, 281, 634, 3483, 540, 544 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2537, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2537, 815, 476, 13670, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2190, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2190, 815, 476, 13670, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 27698, 912, 1038, 1820, 3488, 278, 3374, 266, 27698, 815, 476, 15793, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2918, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2918, 815, 476, 15793, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2767, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2767, 815, 476, 15793, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2764, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 2764, 815, 476, 15793, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3066, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3066, 815, 476, 15793, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30697, 912, 1038, 1820, 3488, 278, 3374, 266, 30697, 815, 476, 15793, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4029, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4029, 815, 476, 15793, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3953, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3953, 815, 476, 15793, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3451, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3451, 815, 476, 15793, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4097, 815, 476, 15793, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3374, 815, 476, 15389, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3607, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3607, 815, 476, 15389, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4391, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4391, 815, 476, 15389, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4343, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4343, 815, 476, 15389, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4375, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4375, 815, 476, 15389, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25953, 912, 1038, 1820, 3488, 278, 3374, 266, 25953, 815, 476, 15389, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 272, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 272, 815, 476, 15389, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 273, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 273, 815, 476, 15389, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 274, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 274, 815, 476, 15389, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4510, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4510, 815, 476, 15389, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3393, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 3393, 815, 476, 15946, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 277, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 277, 815, 476, 15946, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 278, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 278, 815, 476, 15946, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4366, 912, 1038, 1820, 3488, 278, 3374, 266, 277, 4366, 815, 476, 15946, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3374, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 280, 912, 1038, 1820, 3488, 278, 3374, 266, 5038, 280, 815, 476, 15946, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7785, 912, 1038, 1820, 3488, 278, 3607, 266, 7785, 815, 476, 15836, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 31430, 912, 1038, 1820, 3488, 278, 3607, 266, 31430, 815, 476, 15836, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 273, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 273, 815, 476, 15836, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 274, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 274, 815, 476, 15836, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 275, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 275, 815, 476, 16328, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 276, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 276, 815, 476, 16328, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 277, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 277, 815, 476, 16328, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 278, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 278, 815, 476, 16328, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 279, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 279, 815, 476, 16328, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 280, 912, 1038, 1820, 3488, 278, 3607, 266, 2568, 280, 815, 476, 16328, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 29637, 912, 1038, 1820, 3488, 278, 3607, 266, 29637, 815, 476, 16328, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1556, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1556, 815, 476, 16328, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1321, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1321, 815, 476, 16328, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1724, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1724, 815, 476, 16328, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1691, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1691, 815, 476, 13670, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1428, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1428, 815, 476, 13670, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1626, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1626, 815, 476, 13670, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1704, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1704, 815, 476, 13670, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 1240, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 1240, 815, 476, 13670, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 866, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 866, 815, 476, 13670, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30663, 912, 1038, 1820, 3488, 278, 3607, 266, 30663, 815, 476, 13670, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2641, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2641, 815, 476, 13670, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 25118, 912, 1038, 1820, 3488, 278, 3607, 266, 25118, 815, 476, 13670, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2537, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2537, 815, 476, 13670, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2190, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2190, 815, 476, 15793, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 27698, 912, 1038, 1820, 3488, 278, 3607, 266, 27698, 815, 476, 15793, 272, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2918, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2918, 815, 476, 15793, 273, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2767, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2767, 815, 476, 15793, 274, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 2764, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 2764, 815, 476, 15793, 275, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3066, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3066, 815, 476, 15793, 276, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 30697, 912, 1038, 1820, 3488, 278, 3607, 266, 30697, 815, 476, 15793, 277, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4029, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 4029, 815, 476, 15793, 278, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3953, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3953, 815, 476, 15793, 279, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3451, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 3451, 815, 476, 15793, 280, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 4097, 912, 1038, 1820, 3488, 278, 3607, 266, 277, 4097, 815, 476, 15389, 271, 5073, 825, 952, 1003, 272, 2652, 476, 278, 3607, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 277, 3374, 912, 1038, 1820 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1434, 2783, 267, 1934, 616, 930, 2081, 602, 666, 948, 912, 7021, 2224, 540, 1216, 568, 513, 1455, 2014, 540, 23170, 1062, 5821, 269, 589, 23170, 1062, 781, 2773, 10607, 950, 1216, 568, 1031, 7561, 269, 4635, 1216, 18026, 30079, 543, 31316, 1115, 267, 2921, 10156, 29636, 267, 543, 21924, 8670, 13195, 615, 543, 11067, 3684, 13907, 616, 782, 1806, 540, 2081, 547, 4688, 1216, 563, 6826, 9650, 995, 540, 1548, 3619, 525, 13560, 519, 3590, 454, 14737, 30093, 519, 6165, 540, 707, 20203, 12871, 538, 519, 10051, 666, 2057, 4396, 1628, 5346, 538, 519, 23170, 7382, 269, 901, 666, 2014, 513, 21818, 6595, 267, 899, 24571, 3101, 519, 8963, 2361, 269, 4746, 267, 835, 540, 519, 10782, 1919, 596, 666, 798, 568, 13248, 31294, 1524, 519, 8963, 269, 898, 666, 1628, 909, 543, 1106, 575, 6064, 2059, 519, 6418, 16298, 540, 707, 12775, 12992, 267, 4929, 873, 547, 24571, 269, 898, 949, 3625, 519, 8963, 2361, 936, 942, 267, 8506, 14427, 18203, 563, 4002, 519, 824, 1688, 267, 2760, 23574, 4376, 824, 982, 1480, 3653, 1524, 519, 16003, 269, 22458, 267, 1426, 29578, 267, 3032, 16445, 267, 1957, 28734, 267, 31294, 267, 512, 2086, 976, 267, 1019, 3639, 267, 7873, 1682, 267, 610, 16906, 855, 1206, 1058, 2760, 581, 1166, 19813, 1524, 519, 16003, 563, 22879, 24581, 5937, 14280, 11162, 619, 454, 10303, 936, 7308, 23716, 8963, 2973, 619, 1331, 3114, 21149, 1218, 267, 26311, 873, 1524, 519, 8963, 610, 16003, 543, 883, 519, 23170, 1062, 1522, 6146, 519, 14471, 2877, 547, 2736, 1524, 519, 17571, 538, 519, 7382, 269, 901, 1522, 1291, 547, 2042, 538, 519, 2104, 563, 2414, 2569, 519, 19717, 547, 519, 14471, 538, 519, 23170, 7382, 267, 946, 3905, 1216, 267, 513, 8963, 13131, 267, 610, 13476, 7874, 8963, 2973, 619, 563, 28406, 2659, 667, 1778, 2361, 454, 763, 8963, 2361, 568, 606, 1898, 5057, 540, 707, 23170, 1062, 269, 898, 18274, 519, 5277, 602, 2501, 856, 540, 707, 23170, 7382, 269, 1677, 2149, 621, 267, 596, 1058, 2760, 6288, 610, 5397, 936, 621, 269, 19554, 24259, 267, 1273, 3930, 267, 1286, 7964, 267, 543, 1022, 4990, 540, 30120, 5068, 1058, 849, 581, 6854, 856, 540, 713, 1858, 269, 901, 786, 2061, 519, 3037, 538, 713, 3148, 689, 11741, 532, 267, 799, 1522, 1291, 547, 7745, 12992, 269, 1411, 1590, 849, 2061, 5072, 689, 17708, 1154, 883, 707, 23170, 1062, 543, 1832, 782, 2371, 543, 4054, 513, 2922, 3845, 2476, 689, 707, 8963, 2361, 563, 11900, 1051, 543, 27124, 32279, 454, 288, 23170, 7382, 814, 547, 581, 9738, 5781, 547, 581, 6198, 543, 2635, 269, 20348, 3653, 267, 538, 1880, 267, 1590, 581, 29253, 856, 540, 519, 23170, 7382, 5781, 267, 2356, 1169, 1614, 547, 2947, 1296, 563, 2691, 596, 3346, 513, 23170, 3028, 2754, 267, 789, 786, 8524, 707, 23170, 7382, 585, 20984, 543, 5659, 519, 31993, 6106, 269, 1358, 949, 1118, 7840, 602, 666, 2087, 519, 3252, 540, 707, 23170, 1062, 563, 763, 23170, 1062, 568, 835, 540, 519, 1034, 1271, 2943, 1419, 16053, 8647, 3334, 540, 513, 1753, 269, 634, 1434, 3377, 568, 602, 23170, 1062, 909, 18141, 1281, 711, 723, 547, 581, 2352, 267, 14427, 267, 610, 942, 21791, 269, 1403, 596, 1246, 891, 2241, 5826, 4808, 267, 596, 666, 581, 21407, 602, 707, 23170, 1062, 786, 3136, 547, 1599, 3927, 585, 1082, 1296, 563, 2252, 596, 616, 3168, 585, 476, 2190, 16923, 21818, 3028, 538, 3798, 3000, 2023, 547, 1491, 1416, 540, 707, 23170, 7382, 18203, 543, 4368, 525, 538, 2836, 326, 776, 267, 22598, 267, 476, 2190, 28914, 1773, 17741, 666, 798, 519, 2816, 585, 596, 269, 3776, 2319, 24870, 538, 6595, 21818, 267, 865, 649, 666, 15983, 4194, 782, 707, 2042, 269, 16731, 938, 3896, 543, 1118, 606, 13393, 1631, 2336, 2026, 621, 568, 1419, 1767, 267, 519, 10051, 568, 519, 2295, 540, 513, 1753, 1317, 621, 568, 1141, 596, 5965, 6980, 267, 543, 3025, 5531, 338, 585, 6209, 6643, 563, 5331, 596, 2461, 538, 519, 10051, 543, 616, 827, 547, 5965, 513, 7594, 585, 519, 1920, 269, 2311, 602, 4090, 267, 596, 2253, 547, 5469, 513, 1187, 5652, 9329, 602, 5956, 547, 11145, 707, 3007, 269, 1411, 2638, 707, 20203, 12871, 267, 543, 621, 779, 711, 4947, 689, 972, 282, 596, 2638, 707, 17885, 10822, 267, 543, 621, 779, 1869, 711, 972, 269, 7316, 568, 621, 4947, 689, 888, 5475, 513, 3787, 811, 3406, 267, 596, 8275, 602, 519, 562, 7360, 9329, 568, 4947, 689, 707, 28368, 256, 590, 3855, 616, 1141, 1159, 11481, 28368, 1419, 6565, 689, 1317, 540, 519, 1426, 602, 568, 18233, 1524, 873, 269, 1717, 267, 596, 666, 849, 723, 1159, 11481, 28368, 689, 519, 8685, 610, 17643, 563, 1432, 15486, 674, 9567, 667, 1778, 3911, 20635, 888, 2467, 616, 1082, 3123, 3297, 1159, 11481, 28368, 269, 1280, 835, 267, 11935, 899, 1426, 29578, 267, 31294, 267, 4552, 267, 610, 12853, 21225, 602, 1899, 707, 12992, 949, 2014, 519, 8963, 547, 9329, 1317, 540, 519, 4551, 789, 4482, 602, 13847, 891, 562, 7360, 5212, 2293, 269, 1849, 690, 3022, 8963, 12992, 610, 642, 757, 666, 849, 4734, 596, 609, 588, 1446, 5212, 2293, 1317, 789, 3895, 22376, 1375, 880, 1216, 3350, 563, 8448, 982, 602, 267, 1256, 22285, 543, 7646, 1168, 949, 2014, 562, 7360, 23337, 2454, 28368, 269, 8616, 267, 621, 1223, 849, 581, 1813, 547, 29326, 9362, 602, 4473, 909, 689, 519, 28368, 563, 1103, 519, 2013, 602, 596, 9329, 513, 4232, 1084, 4212, 9329, 267, 621, 1223, 581, 1813, 547, 513, 4551, 602, 568, 538, 707, 3905, 1216, 7382, 602, 23465, 609, 519, 20962, 919, 538, 707, 1216, 269, 7831, 855, 711, 2547, 267, 21818, 9073, 949, 2014, 513, 3983, 9329, 547, 2097, 689, 707, 28368, 269, 589, 7508, 623, 2389, 1905, 610, 8963, 5887, 666, 2014, 2178, 5212, 2293, 267, 607, 1134, 607, 20984, 610, 4232, 1154, 8963, 13740, 563, 1692, 1684, 1411, 5192, 681, 573, 2986, 634, 3911, 749, 888, 2691, 596, 723, 5462, 519, 2014, 540, 519, 562, 7360, 5212, 712, 267, 621, 779, 942, 547, 9004, 621, 676, 1210, 519, 1739, 4388, 912, 21093, 7759, 540, 519, 562, 7360, 8963, 24462, 949, 3100, 2653, 693, 1101, 269, 8616, 267, 952, 596, 723, 6836, 1585, 15361, 543, 4986, 4667, 547, 960, 267, 602, 779, 519, 942, 596, 991, 3318, 948, 2336, 4263, 713, 1448, 267, 596, 1631, 917, 519, 1585, 3123, 540, 562, 7360, 8963, 5212, 712, 543, 519, 1585, 3268, 547, 7753, 621, 269, 1280, 2053, 950, 602, 562, 7360, 9329, 1175, 4465, 1406, 979, 2476, 1310, 3257, 1753, 3435, 267, 972, 1223, 581, 1945, 3116, 2469, 593, 3297, 707, 21818, 1062, 602, 949, 2154, 3318, 6304, 269, 1403, 602, 779, 519, 2013, 267, 1491, 519, 942, 547, 1265, 513, 6325, 726, 3784, 538, 707, 1858, 547, 2327, 519, 1655, 3028, 602, 1223, 4625, 9004, 602, 562, 7360, 8963, 9329, 563, 6701, 596, 3168, 585, 6325, 476, 2190, 16923, 21818, 3028, 286, 2311, 17073, 1773, 17741, 1299, 1261, 908, 267, 649, 723, 936, 476, 736, 1296, 540, 1995, 3246, 1283, 7779, 21818, 2533, 267, 543, 938, 4966, 616, 6131, 547, 1283, 7779, 6075, 2533, 269, 5192, 538, 5905, 609, 721, 2221, 547, 8430, 707, 13393, 2336, 31010, 1753, 21818, 568, 5051, 4742, 32462, 585, 1082, 21427, 1317, 540, 519, 2489, 25749, 267, 799, 18922, 883, 14427, 267, 2462, 6066, 18203, 269, 18641, 585, 596, 267, 596, 666, 2057, 891, 21818, 32657, 2355, 952, 596, 1175, 1832, 2542, 563, 1607, 2376, 786, 1683, 596, 609, 2185, 1455, 21818, 14868, 269, 6875, 713, 607, 606, 4316, 547, 4688, 707, 1920, 689, 28842, 1304, 21818, 2042, 543, 9797, 3310, 707, 2828, 543, 1920, 676, 4687, 713, 12905, 1344, 563, 5522, 17741, 568, 1419, 2938, 607, 513, 2367, 658, 4305, 267, 855, 621, 6585, 513, 2603, 811, 1271, 982, 596, 949, 581, 4758, 621, 269, 3371, 616, 2185, 1455, 7622, 21818, 14868, 596, 991, 547, 3247, 18468, 538, 912, 14197, 5851, 1773, 17741, 1772, 14168, 547, 674, 1460, 269, 2353, 1411, 10261, 1772, 25126, 538, 2659, 5600, 3835, 547, 22067, 5455, 609, 513, 16797, 8827, 454, 1607, 7242, 267, 676, 2484, 267, 568, 519, 1034, 14124, 1753, 21818, 2152, 602, 991, 547, 3247, 269, 1703, 616, 1082, 8075, 609, 12992, 602, 949, 723, 1569, 547, 1216, 267, 855, 789, 616, 3810, 7925, 547, 24694, 543, 16802, 532, 269, 1703, 616, 849, 7653, 602, 666, 4734, 8075, 11630, 547, 513, 21818, 6595, 267, 29070, 8374, 609, 519, 1216, 3761, 602, 21279, 547, 25010, 707, 3959, 543, 1439, 9734, 707, 1920, 563, 4131, 779, 2161, 596, 1294, 513, 5634, 24694, 538, 707, 10051, 269, 1411, 723, 707, 7649, 968, 25785, 892, 621, 676, 7311, 930, 570, 1030, 23127, 11746, 547, 519, 16060, 543, 8720, 519, 10612, 609, 930, 2706, 15441, 269, 4634, 952, 621, 17303, 4368, 525, 519, 13451, 267, 713, 666, 1860, 707, 2898, 21818, 1062, 563, 2791, 1294, 267, 707, 27983, 616, 899, 513, 2295, 269, 1403, 1256, 835, 540, 519, 5634, 11444, 568, 8697, 267, 519, 2898, 1062, 8813, 6306, 269, 1411, 991, 547, 2708, 519, 3003, 1062, 547, 2327, 602, 972, 4465, 1406, 581, 2152, 538, 519, 1279, 2196, 267, 2495, 596, 991, 547, 723, 2930, 1702, 540, 21818, 267, 1216, 2095, 267, 543, 824, 1644, 1995, 563, 2690, 707, 7622, 779, 3106, 543, 13418, 267, 1451, 811, 827, 6595, 726, 3784, 2533, 998, 721, 693, 476, 2190, 28914, 1773, 17741, 1299, 1261, 908, 563, 293, 14072, 1115, 26431, 2274, 752, 3683, 5384, 9603, 547, 15901, 730, 2422, 267, 1924, 1411, 9701, 333, 1406, 1937, 787, 454, 8133, 267, 1455, 1753, 31316, 1115, 798, 13451, 1317, 7928, 3096, 666, 3138, 4923, 909, 519, 8800, 267, 971, 607, 519, 1292, 11896, 543, 519, 25336, 269, 1717, 267, 596, 12582, 1406, 11716, 621, 269, 2913, 1154, 707, 31316, 1115, 13451, 666, 6318, 707, 1216, 3915, 3790, 543, 849, 2014, 707, 16173, 543, 12992, 547, 1205, 15309, 344, 269, 2274, 1136, 31316, 1115, 849, 5815, 602, 519, 1216, 2604, 949, 711, 581, 4881, 12347, 269, 1403, 596, 1294, 31316, 564, 20984, 267, 1289, 707, 2199, 726, 3784, 5612, 563, 14503, 2313, 762, 27294, 5213, 1406, 1849, 690, 5455, 519, 29828, 720, 454, 763, 1966, 609, 23574, 762, 3688, 568, 789, 949, 23271, 2899, 6534, 547, 1216, 267, 855, 789, 1810, 1406, 1205, 998, 12775, 3362, 269, 5457, 1765, 20365, 2777, 779, 12775, 814, 547, 1205, 7759, 540, 513, 2603, 540, 3232, 3653, 267, 899, 32740, 2339, 267, 1989, 830, 689, 519, 16173, 267, 543, 3282, 563, 5472, 891, 1875, 22286, 2313, 762, 543, 865, 10777, 23574, 762, 666, 804, 2794, 1927, 543, 1106, 513, 2481, 6438, 31797, 538, 707, 12775, 267, 1439, 836, 1359, 707, 10612, 1949, 269, 11910, 938, 6595, 726, 13246, 547, 2638, 707, 12775, 547, 8524, 585, 29326, 1394, 5725, 563, 5141, 690, 3022, 26932, 3894, 286, 2422, 19748, 517, 4236, 823, 543, 4033, 15188, 5174, 4454, 667, 1778, 27686, 10298, 269, 2334, 4024, 1684, 519, 570, 4459, 454, 2791, 949, 723, 4862, 713, 5796, 689, 707, 16705, 610, 513, 1134, 268, 26074, 1920, 4759, 267, 855, 26311, 15755, 15559, 1524, 707, 18180, 666, 25010, 519, 2298, 540, 707, 12775, 1062, 269, 901, 5739, 7848, 540, 6464, 666, 849, 6861, 707, 20203, 12871, 267, 7133, 922, 4398, 538, 8840, 1524, 22837, 563, 2252, 596, 723, 513, 24571, 3022, 10051, 16173, 267, 938, 4274, 726, 13246, 4363, 602, 596, 2490, 1055, 707, 20203, 12871, 1101, 267, 13248, 3636, 1216, 883, 519, 16173, 609, 5277, 8670, 31290, 12853, 267, 543, 1287, 28103, 519, 1989, 830, 9900, 609, 513, 1279, 10612, 7738, 11453, 269, 1411, 666, 849, 1289, 938, 8963, 7738, 4966, 585, 707, 13418, 563, 2791, 949, 1589, 602, 707, 18789, 4368, 525, 543, 1455, 7622, 21818, 2152, 616, 3339, 267, 855, 972, 949, 581, 10296, 4145, 602, 596, 616, 24937, 269, 1411, 1223, 26968, 5944, 581, 20392, 707, 1920, 547, 1390, 28842, 7891, 543, 14427, 14796, 269, 5620, 707, 21818, 13761, 543, 30465, 2221, 2336, 2190, 28914, 1773, 17741, 1299, 1261, 908, 568, 707, 3318, 2319, 540, 6595, 726, 13246, 538, 2836, 326, 776, 9280, 585, 1022, 2777, 21818, 6595, 269, 1284, 666, 1683, 596, 609, 519, 1655, 21818, 3435, 547, 1832, 707, 1216, 2095, 543, 12775, 3810, 3608, 269, 16731, 938, 3896, 2221, 256, 0, 5475, 4928, 9885, 9505, 339, 1229, 538, 4728, 540, 476, 1708, 271, 267, 5691, 3450, 4957, 875, 649, 9447, 938, 1148 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 31164, 6906, 568, 476, 279, 4699, 563, 30043, 9351, 540, 519, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 7268, 9507, 346, 306, 728, 4153, 2431, 264, 8703, 273, 4151, 13483, 269, 4559, 454, 284, 1109, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 263, 279, 9368, 264, 8703, 273, 4151, 4699, 273, 454, 284, 4399, 3847, 7268, 2765, 3189, 6912, 346, 274, 12453, 275, 348, 9943, 5038, 9368, 7751, 4699, 273, 815, 1269, 1626, 25490, 346, 274, 4151, 4699, 273, 692, 2971, 7726, 476, 1428, 1384, 763, 4463, 540, 606, 31164, 6906, 568, 1109, 7445, 6912, 346, 277, 4151, 4699, 269, 4706, 1858, 568, 692, 5416, 264, 1269, 274, 25490, 346, 274, 4151, 4699, 273, 454, 6357, 264, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 454, 6262, 264, 1269, 273, 25490, 346, 273, 4151, 4699, 273, 454, 5560, 264, 1269, 277, 25490, 346, 273, 4151, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 692, 4131, 18529, 27398, 581, 606, 31164, 6906, 609, 835, 2427, 540, 519, 3259, 513, 4699, 563, 13312, 21192, 540, 606, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 273, 348, 320, 259, 4699, 454, 7445, 2765, 3189, 6912, 346, 274, 12453, 273, 348, 320, 7807, 6912, 346, 277, 21456, 320, 815, 4399, 2765, 3189, 6912, 346, 277, 348, 9943, 273, 7346, 6912, 346, 274, 3686, 7807, 2765, 3189, 6912, 346, 274, 348, 9943, 315, 6912, 346, 273, 348, 9943, 273, 7346, 6912, 346, 274, 3686, 284, 273, 25490, 346, 273, 4151, 4699, 454, 22704, 540, 519, 31164, 6906, 815, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 2410, 320, 8703, 273, 21456, 284, 4399, 2765, 3189, 6912, 346, 274, 12453, 275, 7346, 3847, 263, 273, 25490, 346, 273, 4153, 2431, 264, 8703, 273, 4151, 4699, 273, 815, 4399, 3847, 7268, 2765, 3189, 6912, 346, 274, 12453, 275, 348, 9943, 279, 9368, 7751, 4699, 273, 815, 1269, 273, 25490, 346, 274, 4151, 4699, 273, 692, 2971, 7726, 476, 1626, 1384, 3080, 2427, 540, 513, 25521, 568, 476, 1626, 4699, 543, 519, 3845, 540, 713, 2427, 689, 519, 6587, 2427, 568, 476, 275, 269, 276, 4699, 269, 634, 1858, 540, 519, 25521, 568, 692, 5416, 264, 476, 3607, 4699, 273, 454, 6357, 264, 476, 7761, 4699, 273, 454, 6262, 264, 476, 1240, 4699, 273, 454, 5560, 264, 476, 7918, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 476, 7761, 4699, 273, 692, 26015, 540, 519, 25521, 815, 476, 1626, 4699, 454, 3891, 697, 540, 519, 25521, 815, 476, 275, 269, 276, 4699, 454, 30043, 9351, 540, 519, 25521, 815, 12476, 6398, 27551, 454, 284, 630, 1626, 6398, 476, 275, 269, 276, 264, 4699, 273, 1109, 815, 476, 7761, 4699, 273, 692, 2971, 7726, 476, 1704, 1384, 763, 13080, 540, 519, 32377, 540, 513, 32077, 639, 616, 476, 2190, 4699, 543, 476, 1240, 4699, 6606, 269, 4706, 1858, 568, 692, 5416, 264, 476, 28242, 4699, 273, 454, 6357, 264, 476, 21327, 4699, 273, 454, 6262, 264, 476, 10482, 4699, 273, 454, 5560, 264, 476, 13893, 4699, 273, 692, 2971, 8382, 1384, 6357, 264, 476, 21327, 4699, 273, 692, 21920, 540, 835, 15497, 815, 476, 2190, 4699, 454, 21920, 540, 519, 824, 15497, 815, 476, 1240, 4699, 454, 30043, 9351, 540, 519, 32077, 639, 815, 1109, 7445, 2765, 346, 272, 2410, 273, 4151, 6398, 630, 29410, 540, 519, 32377, 994, 284, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 9943, 2190, 9943, 1240, 9368, 7751, 4699, 273, 815, 476, 21327, 4699, 273, 692, 2971, 7726, 476, 1240, 1384, 763, 3017, 1063, 519, 18592, 543, 8953, 540, 513, 5858, 568, 476, 4391, 4699, 269, 634, 1858, 540, 519, 5858, 568, 692, 5416, 264, 476, 9340, 4699, 273, 454, 6357, 264, 476, 16825, 4699, 273, 454, 6262, 264, 476, 15150, 4699, 273, 454, 5560, 264, 476, 28796, 4699, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 15150, 4699, 273, 692, 4131, 519, 8953, 540, 519, 5858, 581, 678, 4699, 563, 290, 1844, 636, 12401, 815, 1269, 273, 315, 9507, 3189, 7032, 678, 10592, 18154, 1844, 636, 12401, 264, 910, 630, 20238, 3780, 264, 815, 476, 4391, 692, 259, 337, 13375, 263, 273, 315, 9507, 3189, 7032, 7684, 268, 272, 9368, 6661, 4391, 14204, 337, 815, 4399, 2765, 346, 4391, 7346, 3847, 263, 273, 315, 9507, 3189, 7032, 7684, 268, 272, 9368, 264, 4151, 815, 4399, 2765, 346, 4391, 7346, 3847, 263, 273, 9943, 315, 2765, 346, 2420, 2410, 278, 18511, 272, 9368, 14587, 7807, 2765, 346, 4391, 7346, 3847, 7268, 2765, 346, 4510, 2410, 278, 18511, 272, 9368, 14587, 7807, 2765, 346, 4391, 7346, 3847, 7268, 2765, 346, 4510, 268, 278, 2410, 278, 4153, 2431, 14587, 7807, 3847, 7268, 2765, 346, 4391, 9943, 278, 2410, 4391, 4153, 2431, 6661, 278, 14204, 30043, 7101, 3780, 540, 519, 2016, 5858, 568, 476, 278, 4699, 563, 30043, 9351, 815, 12276, 9507, 3189, 7032, 678, 3686, 3867, 273, 4151, 815, 4399, 3847, 7268, 2765, 346, 2420, 2410, 278, 348, 9943, 278, 9943, 278, 9368, 7751, 4699, 273, 815, 476, 15150, 4699, 273, 692, 2971, 7726, 476, 866, 1384, 763, 15943, 540, 519, 6989, 540, 513, 4055, 568, 476, 1240, 544, 543, 922, 4463, 568, 476, 274, 544, 269, 1548, 568, 519, 1858, 540, 476, 275, 6821, 540, 519, 4055, 2496, 5416, 264, 476, 2641, 544, 273, 454, 6357, 264, 476, 5655, 544, 273, 454, 6262, 264, 476, 7918, 544, 273, 454, 5560, 264, 476, 10482, 544, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 7918, 544, 273, 692, 11693, 912, 8110, 9014, 540, 519, 6989, 815, 476, 273, 10857, 1341, 536, 264, 815, 476, 1240, 544, 454, 3891, 697, 540, 519, 4055, 815, 476, 274, 544, 692, 30043, 9351, 540, 519, 2185, 6821, 815, 2715, 273, 10857, 1341, 536, 264, 6398, 554, 8679, 284, 32309, 1109, 9943, 27551, 454, 284, 476, 1240, 544, 1109, 9943, 476, 274, 544, 815, 476, 7918, 544, 273, 692, 2971, 7726, 476, 736, 1384, 1692, 1082, 15432, 540, 24095, 476, 8287, 4699, 2647, 786, 581, 2838, 547, 3382, 519, 6989, 540, 513, 4055, 476, 1691, 544, 676, 476, 280, 544, 2496, 5416, 264, 476, 1220, 544, 454, 6357, 264, 476, 13975, 544, 454, 6262, 264, 476, 13136, 544, 454, 5560, 264, 476, 6977, 544, 692, 2971, 8382, 1384, 5416, 264, 476, 1220, 544, 692, 22704, 540, 519, 6989, 540, 513, 4055, 815, 476, 1691, 544, 6398, 476, 280, 544, 815, 476, 14695, 544, 273, 692, 310, 5954, 540, 519, 24095, 815, 476, 8287, 4699, 815, 476, 271, 269, 8287, 544, 7673, 13725, 630, 26238, 476, 1911, 4699, 815, 476, 272, 544, 2020, 30043, 22490, 3259, 540, 519, 24095, 21591, 284, 692, 2971, 7726, 476, 2641, 1384, 2252, 519, 15497, 540, 513, 13551, 568, 476, 1704, 4699, 1279, 543, 922, 15943, 568, 476, 5379, 4699, 267, 519, 1858, 540, 519, 13551, 568, 692, 5416, 264, 476, 1911, 4699, 273, 454, 6357, 264, 476, 8099, 4699, 273, 454, 6262, 264, 476, 6344, 4699, 273, 454, 5560, 264, 476, 5611, 4699, 273, 692, 2971, 8382, 1384, 6262, 264, 476, 6344, 4699, 273, 692, 4131, 519, 3259, 540, 519, 13551, 581, 1535, 4699, 543, 519, 4560, 581, 586, 4699, 563, 22704, 540, 519, 13551, 815, 27976, 4699, 273, 454, 8110, 9014, 540, 519, 13551, 815, 476, 273, 263, 1535, 1341, 586, 264, 815, 476, 5379, 4699, 7673, 1109, 630, 326, 1508, 994, 22382, 476, 273, 263, 1535, 1341, 586, 264, 815, 476, 5379, 454, 22382, 630, 1535, 1341, 586, 264, 815, 4399, 3847, 7268, 2765, 346, 5379, 2410, 273, 4153, 2431, 7751, 4699, 815, 476, 2537, 4699, 692, 13312, 21192, 540, 519, 13551, 815, 4399, 6912, 13997, 343, 8703, 273, 15396, 346, 344, 8703, 273, 22288, 815, 476, 1704, 4699, 454, 22382, 1109, 4399, 6912, 13997, 343, 8703, 273, 15396, 346, 344, 8703, 273, 22288, 815, 476, 1704, 692, 306, 638, 2130, 1312, 519, 5011, 267, 649, 1205, 912, 343, 273, 1341, 586, 273, 815, 630, 1704, 264, 273, 454, 343, 273, 1341, 586, 273, 815, 476, 29579, 692, 3086, 267, 630, 343, 273, 1341, 586, 273, 264, 815, 630, 1535, 1341, 586, 264, 273, 910, 476, 273, 15383, 454, 22382, 476, 273, 15383, 815, 630, 1535, 1341, 586, 264, 273, 910, 630, 343, 273, 1341, 586, 273, 994, 284, 630, 2537, 264, 273, 910, 476, 29579, 454, 284, 476, 276, 3066, 910, 476, 29579, 815, 476, 13301, 454, 15383, 815, 4399, 3847, 7268, 2765, 346, 13301, 2410, 273, 4153, 2431, 7751, 4699, 273, 815, 476, 6344, 4699, 273, 692, 2971, 7726, 476, 2420, 1384, 2252, 519, 5223, 540, 519, 2127, 540, 1079, 10945, 568, 476, 280, 2433, 476, 272, 267, 1287, 519, 5223, 540, 741, 829, 12281, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 476, 274, 2433, 476, 272, 454, 6262, 264, 476, 274, 2433, 476, 273, 454, 5560, 264, 476, 275, 2433, 476, 272, 692, 2971, 8382, 1384, 6357, 264, 476, 274, 281, 272, 692, 4131, 513, 2427, 540, 519, 1101, 4009, 581, 513, 4699, 543, 602, 540, 519, 2034, 4009, 581, 536, 4699, 563, 10190, 267, 741, 2127, 786, 581, 513, 273, 543, 536, 273, 267, 6606, 563, 19853, 829, 12281, 786, 581, 476, 275, 320, 543, 476, 275, 321, 267, 6606, 780, 6097, 547, 519, 2243, 912, 7445, 2765, 13997, 320, 8703, 273, 12453, 346, 321, 8703, 273, 3686, 7807, 2765, 346, 280, 2410, 272, 6525, 3189, 3847, 7268, 2765, 21151, 2410, 321, 4153, 2431, 264, 8703, 273, 18098, 2765, 346, 280, 2410, 272, 13157, 3189, 3847, 7268, 2765, 346, 274, 2410, 272, 4153, 2431, 264, 8703, 273, 6525, 315, 2765, 21151, 2410, 321, 18098, 2765, 346, 274, 2410, 272, 10592, 30043, 22490, 5223, 540, 519, 829, 12281, 815, 4399, 2765, 346, 275, 320, 2410, 275, 321, 18098, 2765, 346, 275, 9943, 274, 2410, 275, 9943, 272, 18098, 2765, 346, 274, 2410, 272, 4151, 284, 476, 274, 281, 272, 692, 2971, 7726, 476, 2537, 1384, 763, 5223, 540, 519, 2127, 540, 1079, 10945, 267, 835, 2348, 922, 15497, 5595, 602, 540, 519, 824, 267, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 476, 274, 2433, 476, 272, 454, 6262, 264, 476, 274, 2433, 476, 273, 454, 5560, 264, 476, 275, 2433, 476, 272, 692, 2971, 8382, 1384, 5560, 264, 476, 275, 281, 272, 692, 4131, 519, 32377, 581, 476, 273, 323, 543, 546, 563, 22704, 540, 519, 4009, 815, 4399, 3847, 24560, 2765, 346, 272, 2410, 273, 348, 9943, 3189, 3847, 7268, 9507, 346, 13312, 21192, 4153, 2431, 264, 8703, 273, 4153, 2431, 316, 259, 13483, 269, 4559, 454, 26473, 1600, 5223, 815, 4399, 2765, 13997, 288, 13925, 272, 12453, 346, 288, 13925, 273, 3686, 7807, 2765, 3189, 2765, 346, 272, 2410, 273, 7346, 3847, 263, 273, 323, 9368, 264, 8703, 273, 24828, 2765, 346, 272, 2410, 273, 7346, 3847, 5560, 9368, 264, 8703, 273, 3686, 7807, 2765, 346, 275, 18097, 8703, 273, 12453, 346, 323, 8703, 273, 3686, 7807, 2765, 346, 275, 2410, 272, 13157, 275, 281, 272, 6911, 2971, 7726, 476, 2190, 1384, 763, 1858, 540, 513, 13551, 476, 13893, 544, 1279, 568, 519, 1482, 607, 602, 540, 513, 4009, 540, 2427, 476, 10019, 544, 269, 634, 8700, 540, 519, 13551, 568, 692, 5416, 264, 476, 278, 544, 454, 6357, 264, 476, 1691, 544, 454, 6262, 264, 476, 5392, 544, 454, 5560, 264, 9039, 540, 891, 692, 2971, 8382, 1384, 6262, 264, 476, 5392, 544, 692, 4131, 519, 8700, 540, 519, 13551, 581, 1535, 544, 780, 11693, 912, 22704, 540, 519, 13551, 815, 9351, 540, 519, 4009, 454, 22382, 20099, 6398, 654, 5954, 815, 17121, 6398, 17121, 454, 22382, 630, 13893, 6398, 1535, 264, 815, 476, 10019, 6398, 476, 10019, 454, 30043, 654, 5954, 630, 343, 264, 815, 4399, 3847, 7268, 2765, 346, 10019, 9943, 10019, 2410, 13893, 4153, 2431, 7751, 544, 815, 476, 5392, 544, 454, 17798, 267, 8700, 540, 519, 13551, 568, 476, 5392, 544, 780, 2971, 7726, 476, 1839, 1384, 763, 5223, 540, 519, 1858, 540, 513, 4009, 540, 2427, 513, 543, 602, 540, 606, 31164, 6906, 540, 2427, 513, 267, 568, 692, 5416, 264, 476, 273, 2433, 476, 272, 454, 6357, 264, 1269, 273, 24097, 6912, 346, 274, 21456, 6262, 264, 476, 275, 2433, 476, 274, 454, 5560, 264, 1269, 275, 24097, 6912, 346, 274, 10592, 2971, 8382, 1384, 5560, 264, 1269, 275, 24097 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 27558, 689, 28492, 609, 513, 13310, 2146, 6402, 20410, 19274, 27558, 12693, 16629, 773, 1411, 2731, 1118, 621, 3100, 865, 2653, 609, 707, 6881, 855, 594, 1265, 713, 2339, 547, 581, 2965, 1945, 799, 594, 1589, 594, 1131, 2760, 1174, 269, 898, 4667, 1932, 1950, 543, 5393, 3376, 585, 803, 269, 594, 6557, 3168, 4464, 585, 707, 1985, 2022, 267, 594, 786, 2119, 547, 1205, 519, 13793, 540, 621, 256, 4746, 3643, 1250, 1357, 5816, 910, 11714, 13194, 9326, 31224, 17095, 16417, 9686, 4138, 4344, 16068, 4709, 20977, 13953, 4709, 20413, 32553, 3378, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 6601, 1777, 288, 1663, 571, 12693, 31656, 21220, 13135, 2022, 269, 3371, 568, 1250, 1357, 21935, 282, 7603, 549, 671, 910, 5291, 2517, 322, 7973, 578, 718, 1993, 3333, 877, 2593, 27651, 21703, 286, 27583, 284, 27165, 281, 30265, 663, 7021, 560, 22901, 12693, 14472, 531, 785, 594, 4076, 1224, 1896, 1175, 1318, 8631, 1934, 269, 4347, 17802, 1871, 1433, 5658, 532, 585, 20460, 1746, 269, 594, 4898, 875, 513, 2603, 3801, 596, 1747, 547, 1118, 713, 1826, 540, 9735, 13181, 1357, 3135, 269, 4746, 3643, 1250, 2985, 282, 12263, 3797, 585, 19704, 12693, 29527, 334, 594, 798, 3858, 609, 782, 519, 2093, 596, 723, 4843, 585, 707, 2022, 269, 1358, 616, 2731, 20310, 543, 666, 9090, 960, 269, 12846, 267, 519, 9708, 616, 1360, 2110, 585, 18051, 1182, 269, 2904, 596, 5225, 8831, 873, 513, 3787, 689, 1985, 942, 286, 11289, 596, 585, 519, 2022, 269, 3371, 568, 1250, 3896, 281, 911, 6767, 25877, 1596, 334, 9479, 476, 1001, 280, 12693, 2441, 514, 594, 5963, 2648, 707, 3896, 907, 15020, 8799, 4778, 1299, 6249, 269, 9894, 596, 1020, 713, 1357, 3135, 3054, 286, 7490, 16253, 1394, 607, 594, 6557, 3168, 547, 1711, 1250, 1360, 1378, 3896, 543, 1131, 899, 547, 917, 1141, 596, 3893, 713, 689, 610, 4010, 1018, 519, 6249, 568, 1572, 269, 918, 16997, 256, 1250, 1753, 2457, 282, 3487, 1156, 807, 910, 5291, 2517, 1260, 13586, 663, 1598, 1538, 625, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6349, 270, 663, 2173, 820, 6253, 846, 2914, 14833, 3887, 520, 268, 11794, 1673, 2884, 11258, 12693, 586, 2145, 1214, 343, 4944, 4444, 19274, 27558, 562, 26338, 5291, 2517, 31095, 22967, 6255, 325, 323, 2593, 19274, 27558, 476, 1839, 16936, 12693, 28167, 10158, 3579, 256, 2368, 1360, 4570, 2798, 256, 594, 5660, 596, 4050, 940, 713, 2328, 5346, 543, 519, 1964, 540, 519, 3896, 568, 1360, 1434, 269, 3733, 1357, 21935, 669, 3089, 1782, 1000, 559, 697, 12693, 26791, 6701, 928, 12693, 8419, 20056, 550, 1259, 540, 10213, 267, 543, 3728, 573, 1190, 2376, 547, 1491, 1344, 827, 1250, 6881, 1888, 267, 799, 1775, 993, 2469, 547, 1459, 538, 1153, 269, 16731, 1250, 2546, 2560, 538, 531, 9369, 1111, 515, 31521, 269, 24108, 4944, 582, 2593, 12693, 19681, 541, 2904, 594, 3274, 2161, 1018, 513, 8323, 547, 3605, 18825, 945, 2731, 6487, 1018, 789, 2461, 6158, 827, 936, 519, 4950, 269, 1411, 6157, 1174, 875, 547, 3142, 606, 3390, 547, 1769, 543, 1118, 621, 1271, 269, 2859, 543, 811, 1004, 1590, 2638, 713, 856, 543, 1174, 713, 2427, 540, 707, 1650, 269, 898, 779, 9670, 596, 2461, 711, 811, 2442, 2094, 596, 6157, 723, 519, 10516, 269, 18461, 1863, 547, 3643, 1250, 3896, 2560, 700, 3626, 910, 5291, 2517, 328, 2914, 746, 15515, 3620, 7026, 268, 28785, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 4905, 270, 933, 22433, 3887, 520, 268, 11794, 23073, 11258, 12693, 4165, 334, 6839, 974, 28982, 267, 3026, 520, 2022, 269, 1703, 779, 513, 1966, 609, 707, 3896, 538, 4950, 24413, 267, 1522, 1449, 713, 286, 594, 292, 20866, 568, 519, 2344, 8783, 543, 513, 2462, 3296, 540, 1004, 786, 4413, 707, 8748, 1603, 1317, 540, 713, 1966, 269, 4746, 3643, 1250, 5816, 2022, 910, 19664, 11986, 910, 5291, 2517, 339, 712, 24842, 268, 16651, 2173, 698, 8872, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6349, 270, 10472, 28104, 2914, 1877, 2914, 1679, 11325, 2000, 770, 11258, 12693, 2776, 4109, 20056, 550, 267, 1018, 513, 1357, 3135, 621, 568, 256, 901, 1357, 3135, 2488, 5363, 1344, 547, 721, 267, 1832, 621, 909, 269, 3733, 1753, 2457, 12070, 6975, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 20908, 572, 293, 334, 655, 312, 1100, 13310, 19274, 27558, 13598, 19274, 27558, 1510, 20478, 2228, 13310, 2999, 320, 27430, 284, 10674, 2517, 12858, 698, 2784, 334, 4701, 330, 961, 337, 2593, 270, 258, 285, 12858, 27558, 1510, 4387, 13310, 9572, 320, 285, 521, 843, 523, 2378, 559, 1510, 513, 4387, 779, 13310, 13598, 19274, 27558, 1510, 20478, 5547, 9794, 546, 12447, 533, 269, 4731, 2292, 2999, 320, 27430, 284, 10674, 2517, 12858, 698, 3863, 603, 719, 4777, 2758, 329, 342, 32142, 2593, 270, 258, 285, 12858, 27558, 1510, 4387, 13310, 4140, 874, 1301, 2329, 9572, 320, 285, 798, 596, 991, 513, 13310, 585, 19274, 27558, 12693, 28471, 330, 325, 749, 1728, 340, 2999, 320, 27430, 284, 10059, 2517, 26020, 322, 553, 514, 690, 1868, 2452, 30994, 3820, 270, 285, 322, 553, 3626, 22429, 9479, 9572, 320, 285, 12693, 554, 15238, 327, 577, 568, 972, 513, 3020, 13598, 19274, 27558, 5291, 2517, 4754, 6598, 14428, 1301, 2329, 517, 2593, 2999, 320, 27430, 284, 10674, 2517, 4754, 6598, 14428, 1301, 2329, 517, 2593, 285, 321, 8500, 19274, 27558, 2228, 721, 320, 9572, 320, 285, 12693, 16410, 8403, 528, 342, 2999, 320, 27430, 284, 10674, 2517, 335, 27364, 1662, 14492, 270, 276, 1428, 4037, 270, 4817, 273, 277, 2918, 270, 20565, 320, 285, 2843, 509, 17201, 7846, 10948, 4138, 31224, 27188, 9261, 21162, 13953, 25338, 4138, 30718, 16417, 9261, 22917, 527, 517, 11714, 5284, 371, 9261, 5284, 370, 21170, 10780, 3378, 25602, 9686, 16417, 4736, 7846, 5291, 2517, 4226, 269, 4777, 13624, 600, 527, 517, 2843, 351, 17201, 9841, 7549, 3378, 2843, 375, 4138, 20732, 9841, 17095, 3522, 10948, 3264, 13150, 8563, 12811, 21162, 3264, 476, 4344, 13833, 3522, 4814, 9924, 15800, 10780, 3378, 10780, 23485, 27671, 6459, 27671, 9924, 9261, 476, 25000, 23485, 32553, 3522, 9261, 11714, 476, 4344, 21134, 24893, 25986, 6459, 3264, 476, 26580, 20265, 23783, 21162, 13953, 11012, 7549, 13077, 16648, 22917, 527, 517, 10780, 17201, 7846, 10948, 4138, 31224, 21660, 11012, 3264, 15671, 19757, 4709, 9326, 20732, 17221, 13953, 18194, 12811, 9841, 10780, 3378, 16068, 15671, 4814, 21134, 4709, 26281, 11012, 24012, 9686, 7549, 3264, 256, 2843, 507, 3522, 20732, 4138, 476, 4814, 17201, 4138, 24012, 21660, 16044, 492, 4344, 7846, 16648, 281, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 313, 5937, 341, 343, 303, 343, 293, 271, 336, 300, 285, 396, 352, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 300, 330, 323, 7644, 335, 313, 7666, 336, 300, 285, 299, 600, 527, 517, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 292, 295, 8085, 305, 1993, 8064, 292, 271, 285, 299, 600, 527, 517, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 267, 27188, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 267, 16044, 484, 12811, 3522, 267, 16068, 4344, 13194, 9924, 8563, 9924, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 300, 330, 323, 7644, 335, 313, 7666, 336, 300, 285, 396, 352, 9261, 21162, 13953, 476, 26580, 20265, 23783, 21162, 13953, 17095, 16417, 9261, 19681, 527, 517, 11714, 4138, 9686, 3264, 3378, 9572, 320, 285, 2999, 320, 27430, 284, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 327, 268, 280, 303, 276, 291, 5746, 1723, 275, 285, 299, 600, 527, 517, 9572, 320, 285, 12693, 6601, 1777, 288, 1663, 571, 12693, 2558, 514, 21059, 28982, 267, 9493, 1695, 713, 4062, 540, 1603, 568, 5963, 1434, 543, 594, 723, 4121, 2603, 540, 1919, 689, 621, 593, 519, 1888, 540, 5816, 3101, 269, 7064, 269, 18461, 1863, 547, 17774, 547, 1250, 1357, 5816, 282, 5440, 2709, 256, 16440, 707, 14559, 256, 13673, 9898, 28313, 256, 12693, 2506, 20782, 670, 7825, 568, 4896, 3116, 2348, 2042, 609, 519, 2592, 593, 713, 5816, 15205, 286, 594, 6557, 3843, 547, 3313, 952, 922, 513, 1966, 593, 1250, 1439, 610, 952, 621, 779, 519, 5816, 269, 7102, 6114, 1131, 581, 7494, 15874, 269, 3371, 568, 1250, 3135, 910, 25877, 10950, 12844, 4926, 9479, 476, 1001, 280, 12693, 6601, 1777, 288, 1663, 571, 12693, 2098, 4141, 28982, 256, 1684, 596, 946, 12108, 286, 594, 8910, 899, 547, 1246, 596, 952, 602, 1131, 581, 15502, 269, 594, 6557, 9090, 11981, 707, 5816, 543, 1413, 4464, 547, 1007, 10311, 269, 1250, 3896, 282, 4179, 2517, 26020, 920, 9016, 26316, 269, 745, 910, 4179, 2517, 26020, 920, 9016, 26316, 269, 745, 12693, 30486, 928, 898, 779, 2469, 547, 581, 10678, 540, 9553, 1554, 267, 855, 1354, 10678, 594, 993, 2542, 713, 9735, 2022, 547, 2087, 1250, 1702, 269, 3371, 568, 1250, 5816, 281, 5291, 2517, 920, 323, 341, 9895, 269, 745, 910, 5291, 2517, 920, 323, 341, 9895, 269, 745, 12693, 28471, 330, 325, 749, 561, 21683, 2999, 320, 27430, 284, 10059, 2517, 26020, 322, 553, 16394, 331, 1824, 2452, 30994, 3820, 270, 285, 322, 553, 3626, 3756, 9572, 320, 285, 12693, 1325, 710, 19743, 972, 1175, 4941, 547, 2285, 596, 513, 2656, 9843, 909, 543, 1577, 596, 917, 513, 1906, 540, 519, 5961, 5749, 1406, 15205, 5265, 269, 594, 6557, 711, 2386, 1946, 855, 594, 1589, 922, 513, 16046, 3390, 269, 594, 4076, 6836, 621, 538, 1079, 1114, 1357, 26292, 543, 1312, 1397, 519, 1482, 6364, 269, 18461, 1863, 547, 17774, 547, 1250, 5816, 2022, 26012, 6801, 331, 1824, 4877, 342, 3040, 5291, 2517, 560, 1513, 331, 1824, 4877, 342, 11305, 14394, 270, 4777, 2173, 344, 3146, 14142, 1790, 1653, 19295, 777, 270, 12693, 4077, 1961, 12076, 28982, 972, 256, 1684, 596, 917, 952, 789, 1118, 1022, 11690, 1231, 547, 948, 609, 22048, 286, 594, 6557, 3843, 547, 1205, 1250, 5816, 547, 7584, 585, 930, 6098, 17161, 855, 594, 6557, 711, 7487, 1360, 1434, 12374, 269, 1403, 596, 917, 540, 1022, 5225, 2671, 269, 11289, 596, 256, 18461, 1863, 547, 17774, 547, 1250, 1357, 5816, 910, 3841, 341, 9895, 269, 745, 910, 4179, 2517, 920, 323, 341, 9895, 269, 745, 270, 2421, 560, 549, 1790, 565, 1276, 527, 29931, 9016, 268, 2522, 747, 333, 2096, 328, 12693, 717, 329, 8615, 553, 341, 22894, 875, 547, 8237, 524, 658, 529, 21447, 2999, 320, 27430, 284, 10059, 2517, 339, 6412, 22438, 1251, 2593, 270, 285, 4754, 596, 2759, 524, 658, 529, 21447, 9572, 320, 285, 10464, 4244, 547, 19274, 27558, 19274, 27558, 4444, 2228, 476, 790, 1633, 12693, 808, 565, 2940, 4653, 267, 594, 4682, 547, 519, 11824, 12506, 609, 1250, 1453, 269, 594, 1336, 513, 4262, 7387, 543, 5795, 621, 547, 1250, 476, 275, 1032, 2025, 8250, 543, 1767, 968, 2791, 666, 5873, 519, 5836, 952, 596, 2322, 713, 547, 707, 1274, 1848, 2701, 5116, 519, 7387, 547, 1200, 1274, 543, 3458, 3139, 269, 1703, 729, 513, 1200, 2466, 26029, 3330, 543, 621, 8930, 3481, 1200, 1274, 269, 2701, 2760, 6499, 547, 979, 1394, 256, 10753, 299, 594, 917, 713, 568, 7357, 1055, 1888, 855, 594, 1185, 547, 2995, 2576, 256, 4746, 3643, 1250, 1357, 2985, 282, 667, 11921, 910, 5291, 2517, 527, 880, 578, 603, 1952, 839, 269, 24108, 4944, 582, 2593, 270, 1001, 280, 270, 6734, 270, 6533, 13463, 28104, 1532, 611, 16512, 11258, 12693, 18018, 334, 634, 824, 1554, 267, 1247, 594, 729, 693, 960, 267, 1250, 23013, 588, 1961, 1250, 476, 13023, 821, 543, 7318, 547, 1294, 952, 621, 666, 7639, 513, 8938, 2947, 3723, 6749, 267, 1175, 865, 1352, 666, 581, 513, 596, 32353, 14815, 269, 3733, 11945, 28258, 611, 568, 1631, 10032, 543, 1352, 814, 476, 10695, 5784, 269, 594, 917, 713, 568, 11207, 1055, 1888, 855, 594, 1185, 547, 2671, 621, 609, 2576, 256, 4746, 3643, 1250, 1753, 2457, 910, 596, 4754, 2452, 1415, 3602, 269, 24108, 4944, 582, 2593, 910, 5291, 2517, 9767, 4754, 2452, 1415, 3602, 269, 24108, 4944, 582, 2593, 270, 12693, 3404, 1410, 9857, 1375, 340, 5291, 2517, 1492, 13133, 1399, 7666, 710, 777, 580, 2593, 9706, 1042, 23036 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 337, 815, 1412, 15916, 7585, 262, 1477, 339, 787, 6769, 825, 568, 13700, 815, 703, 263, 770, 337, 264, 672, 12361, 5906, 3009, 1477, 825, 12361, 1879, 519, 1101, 7503, 14543, 910, 621, 1175, 12772, 883, 519, 4849, 281, 16083, 543, 519, 1982, 733, 574, 1132, 1477, 21955, 2433, 672, 12361, 4849, 568, 899, 3116, 267, 5124, 786, 14892, 713, 1899, 952, 1945, 4422, 4636, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 5575, 3299, 568, 13700, 264, 23526, 5897, 770, 337, 815, 1412, 11277, 262, 1477, 339, 787, 2433, 1477, 825, 568, 13700, 815, 703, 263, 770, 337, 3418, 1012, 1879, 519, 2034, 7503, 7319, 12923, 910, 910, 527, 1175, 1236, 2354, 519, 4849, 281, 16083, 543, 519, 1982, 5170, 23228, 21955, 2433, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 13553, 3299, 568, 13700, 264, 16875, 1477, 16875, 1477, 1012, 8347, 270, 21955, 513, 3625, 540, 3009, 1477, 770, 337, 815, 1412, 7692, 262, 1477, 339, 787, 2433, 1477, 825, 1820, 3488, 15916, 10807, 476, 12361, 14892, 1477, 825, 568, 13700, 815, 703, 263, 770, 337, 264, 476, 12361, 3009, 9514, 909, 1934, 1477, 825, 1820, 3488, 2467, 10807, 825, 12361, 901, 786, 711, 581, 14892, 1477, 21955, 2433, 1477, 825, 568, 13700, 815, 910, 272, 1477, 2745, 3488, 291, 821, 3299, 568, 13700, 264, 16875, 1477, 16875, 1477, 258, 12726, 2119, 270, 21955, 267, 1281, 711, 960, 585, 2942, 2338, 1477, 3863, 1598, 815, 3403, 3488, 11767, 513, 1297, 281, 20298, 339, 787, 2433, 1477, 825, 476, 2526, 815, 703, 263, 3863, 1598, 3418, 21955, 2433, 1477, 825, 476, 2526, 815, 910, 272, 1477, 604, 476, 2526, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 301, 823, 960, 20298, 12828, 2433, 1477, 825, 1820, 3488, 8253, 513, 1297, 20298, 1363, 1477, 1012, 11644, 476, 274, 269, 272, 1477, 327, 2293, 815, 10581, 9272, 3488, 11767, 25980, 281, 10807, 3418, 3433, 815, 10581, 9272, 3488, 11767, 15580, 281, 10807, 3418, 604, 3108, 3436, 476, 2412, 2433, 1477, 825, 2628, 815, 630, 327, 2293, 268, 2412, 12684, 272, 269, 276, 265, 3433, 266, 2412, 265, 3433, 1477, 19197, 476, 271, 27045, 3108, 10922, 2412, 2433, 1477, 825, 2628, 815, 3108, 265, 3433, 1477, 12828, 2433, 1477, 825, 1820, 3488, 763, 3108, 610, 2557, 3403, 568, 711, 1318, 20298, 2745, 3488, 28324, 281, 3299, 2628, 3418, 825, 1477, 1012, 11644, 476, 274, 269, 273, 1477, 327, 2293, 815, 3403, 3488, 11767, 25980, 281, 20298, 339, 787, 2433, 1477, 825, 3108, 815, 10581, 22607, 2293, 264, 21506, 21955, 2433, 1477, 825, 1820, 3488, 13286, 267, 5225, 4283, 25948, 3403, 20298, 3433, 815, 3403, 3488, 11767, 15580, 281, 20298, 339, 787, 2433, 1477, 825, 2557, 815, 10581, 263, 3433, 264, 24541, 21955, 2433, 1477, 825, 1820, 3488, 13286, 267, 5225, 4283, 25948, 3403, 262, 10142, 1012, 3848, 476, 275, 281, 12793, 1477, 1012, 4635, 3252, 910, 4558, 543, 19074, 4449, 476, 12361, 2185, 3096, 281, 18615, 267, 19585, 267, 23200, 543, 4558, 543, 19074, 1477, 1012, 853, 1819, 630, 663, 32419, 264, 17778, 1477, 3698, 3364, 263, 2567, 825, 12361, 20438, 281, 1219, 281, 1376, 519, 4214, 540, 513, 1599, 267, 5581, 519, 1599, 269, 9577, 2012, 568, 3364, 543, 538, 519, 24324, 649, 1058, 723, 6724, 1477, 825, 1820, 3488, 15916, 20298, 825, 1820, 3488, 29222, 10807, 567, 12361, 5124, 3314, 713, 855, 786, 711, 14892, 1477, 2251, 3890, 567, 12361, 10912, 543, 1045, 3183, 519, 1599, 1477, 2745, 3488, 313, 760, 20298, 2251, 31476, 1012, 7665, 270, 14737, 1599, 1477, 15927, 815, 3193, 3488, 15916, 2622, 20298, 2745, 6357, 580, 264, 567, 12361, 3314, 267, 4130, 4484, 568, 3677, 982, 2462, 4484, 1477, 1012, 19243, 568, 678, 1477, 339, 4176, 815, 1295, 3488, 15916, 2622, 20298, 2745, 6025, 4176, 3418, 1012, 3977, 568, 519, 1412, 11898, 262, 1317, 2230, 568, 519, 5934, 1477, 3698, 3193, 263, 514, 335, 2567, 11434, 12361, 2322, 538, 513, 5569, 1412, 15916, 2622, 262, 1477, 825, 1025, 1695, 1477, 825, 1025, 1695, 1477, 825, 585, 1535, 538, 538, 335, 6769, 1038, 1025, 1695, 1477, 1038, 1025, 1695, 1363, 12361, 3977, 7024, 513, 5569, 1412, 337, 262, 1477, 1012, 589, 1599, 568, 930, 6740, 3009, 602, 649, 1289, 269, 589, 1599, 8941, 930, 3403, 543, 7472, 606, 3977, 269, 5897, 1012, 7392, 22062, 687, 1477, 1012, 1879, 596, 2322, 606, 8870, 543, 13735, 1448, 538, 606, 4082, 267, 519, 8870, 568, 17697, 569, 10736, 547, 513, 10581, 1477, 2745, 10581, 263, 4200, 264, 1315, 476, 1911, 567, 12361, 3977, 476, 271, 269, 4200, 1477, 328, 815, 476, 5655, 1477, 6943, 9217, 264, 567, 12361, 1362, 1412, 842, 262, 1477, 325, 815, 10581, 9217, 3418, 2745, 6600, 264, 825, 12361, 476, 5655, 269, 271, 1477, 6943, 6600, 264, 567, 12361, 1362, 1412, 15615, 262, 1477, 2745, 263, 272, 1341, 476, 273, 2608, 10581, 263, 274, 264, 1315, 476, 275, 910, 476, 276, 264, 11434, 12361, 3977, 910, 273, 269, 276, 1477, 1012, 1411, 666, 1852, 713, 609, 519, 3710, 2987, 3252, 703, 3890, 543, 10581, 31476, 1012, 21642, 22062, 687, 1477, 1012, 1411, 666, 849, 946, 703, 3890, 543, 10581, 3890, 547, 6460, 1063, 12673, 543, 9981, 1477, 338, 1998, 815, 1412, 11277, 262, 1477, 6943, 4433, 1998, 264, 825, 12361, 1362, 1193, 1477, 2745, 4433, 1998, 1341, 476, 272, 264, 476, 12361, 5470, 5048, 1477, 2526, 815, 703, 4433, 1998, 3418, 6943, 263, 2526, 264, 567, 12361, 1362, 703, 1477, 2745, 263, 2526, 1341, 476, 272, 264, 567, 12361, 476, 476, 14862, 1477, 985, 341, 815, 1412, 31435, 27342, 262, 1477, 16622, 815, 703, 263, 985, 341, 264, 567, 12361, 5470, 5048, 1477, 1012, 3403, 3890, 1599, 786, 2141, 2132, 513, 5569, 1477, 1012, 1411, 786, 1205, 606, 5470, 952, 5569, 1281, 711, 2270, 25948, 3197, 5897, 3698, 2721, 3799, 8029, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 8029, 1038, 585, 795, 538, 2039, 263, 271, 267, 1775, 266, 272, 8029, 2018, 1820, 3488, 265, 3299, 1439, 284, 5257, 3418, 1038, 1820, 28361, 337, 20298, 9526, 263, 276, 3418, 6853, 1090, 573, 19571, 815, 3403, 2891, 8923, 4283, 513, 1297, 281, 834, 3418, 333, 815, 703, 263, 6853, 1090, 573, 19571, 3418, 328, 815, 476, 272, 1477, 6112, 1775, 2999, 562, 266, 272, 6769, 825, 1820, 2891, 834, 16732, 333, 25829, 11924, 257, 265, 257, 16732, 273, 265, 328, 268, 272, 17903, 825, 1775, 815, 1775, 1341, 476, 272, 5897, 1012, 8490, 938, 1378, 12793, 1477, 1012, 1284, 1711, 513, 1007, 1599, 1210, 519, 1219, 20438, 4553, 676, 18593, 6724, 538, 24324, 1477, 1012, 1284, 25034, 519, 1560, 540, 519, 1599, 1477, 1012, 901, 11225, 519, 1599, 855, 1281, 711, 14892, 519, 1560, 540, 519, 1599, 1477, 3698, 1820, 318, 569, 7879, 28399, 825, 1820, 2891, 296, 993, 519, 29421, 329, 871, 326, 582, 15939, 267, 543, 594, 6415, 15502, 1701, 3418, 825, 1820, 3488, 296, 3207, 782, 3781, 543, 594, 960, 782, 1554, 9538, 3418, 2745, 3488, 312, 334, 20298, 343, 284, 273, 1477, 343, 815, 1535, 1341, 476, 273, 1477, 2745, 3287, 3418, 2745, 318, 569, 7879, 31476, 1012, 14803, 3701, 1477, 1012, 1323, 4661, 568, 513, 1871, 649, 1780, 883, 519, 535, 2863, 542, 607, 922, 3403, 950, 649, 1289, 519, 1599, 1477, 1012, 1284, 946, 7440, 865, 649, 666, 1463, 519, 1599, 547, 798, 1114, 5686, 540, 960, 950, 649, 1289, 621, 693, 1114, 2053, 1477, 1012, 1284, 2322, 519, 7440, 538, 24324, 1310, 519, 2012, 540, 519, 1599, 1477, 1012, 19838, 6769, 15927, 815, 3193, 3488, 15916, 2622, 20298, 24541, 1012, 30352, 4534, 14803, 3701, 1477, 1012, 589, 9936, 568, 513, 4756, 799, 649, 946, 538, 519, 1599, 4214, 269, 898, 568, 513, 1412, 8518, 548, 262, 602, 2636, 519, 3009, 538, 519, 1599, 547, 1569, 519, 7440, 585, 513, 1880, 1599, 1045, 6327, 23228, 3698, 26250, 10857, 836, 8029, 825, 952, 31423, 2652, 1412, 525, 262, 6769, 1038, 1820, 3488, 295, 7637, 20298, 825, 8640, 31423, 2652, 1412, 325, 337, 262, 6769, 1038, 1820, 3488, 289, 517, 30394, 20298, 825, 3116, 6769, 1038, 1820, 3488, 15916, 20298, 326, 22901, 3488, 523, 10807, 567, 12361, 28982, 1477, 326, 22901, 3488, 525, 10807, 825, 12361, 4591, 320, 1477, 326, 22901, 3488, 325, 337, 10807, 567, 12361, 12844, 30394, 5897, 1012, 17776, 18880, 1477, 1012, 10705, 513, 1599, 786, 1491, 922, 7440, 267, 798, 930, 19106, 267, 543, 2132, 513, 1871, 547, 581, 1031, 607, 519, 1871, 540, 519, 1599, 1289, 538, 519, 10912, 4082, 23228, 1012, 634, 2132, 20438, 568, 1031, 585, 713, 1477, 3698, 26250, 28399, 825, 2132, 1412, 15916, 262, 8587, 1477, 2745, 14116, 22901, 19572, 1412, 10908, 3317, 20298, 2745, 14116, 22901, 19572, 1412, 306, 958, 10807, 24541, 1012, 17776, 1281, 1079, 1919, 281, 3247, 519, 1599, 543, 2132, 519, 1871, 649, 1616, 1477, 1363, 1477, 1012, 476, 272, 269, 589, 1412, 26258, 995, 262, 1599, 568, 835, 602, 7472, 513, 1267, 263, 528, 2132, 1871, 3418, 1012, 476, 273, 269, 634, 2132, 3948, 7475, 519, 1599, 11056, 543, 1412, 338, 1742, 1394, 262, 519, 1267, 540, 519, 1599, 1477, 3698, 26250, 10857, 836, 8029, 825, 952, 31423, 2652, 1412, 525, 262, 6769, 1038, 2132, 1412, 295, 7637, 262, 1477, 825, 952, 31423, 2652, 1412, 325, 337, 262, 6769, 1038, 2132, 1412, 289, 517, 30394, 262, 1477, 825, 3116, 6769, 1038, 2132, 1412, 15916, 262, 1477, 2745, 14116, 22901, 3488, 523, 30670, 1412, 10908, 3317, 10807, 476, 12361, 28982, 3794, 3317, 1477, 2745, 14116, 22901, 3488, 525, 30670, 1412, 306, 958, 10807, 476, 12361, 4591, 320, 22123, 1477, 2745, 14116, 22901, 3488, 325, 337, 30670, 1412, 28061, 10807, 476, 12361, 289, 517, 30394, 7812, 1477, 24541, 1012, 13038, 30352, 1315, 26855, 3701, 1477, 1012, 1284, 666, 5581, 811, 982, 835, 9936, 538, 519, 1599, 4214, 1477, 1012, 1284, 3274, 1039, 811, 7440, 950, 649, 1289, 519, 1599, 1477, 1012, 1284, 6474, 519, 1297, 543, 1931, 540, 7440, 543, 6724, 1477, 3698, 1039, 18314, 5416, 267, 536, 8029, 825, 3773, 815, 513, 1341, 536, 1477, 825, 2132, 3773, 672, 12361, 3773, 568, 519, 2199, 4756, 1477, 343, 815, 1039, 18314, 263, 274, 267, 476, 276, 3418, 2745, 3287, 10142, 3698, 8631, 28399, 825, 1820, 3488, 15916, 20298, 825, 2132, 1477, 825, 1820, 3488, 13328, 20298, 24541, 560, 4428, 31476, 1012, 3848, 476, 276, 269, 10753, 3591, 543, 594, 614, 725, 1477, 1012, 15901, 730, 17778, 1477, 333, 815, 476, 276, 1477, 6112, 562, 3436, 476, 271, 2433, 476, 12361, 1473, 1030, 9548, 17787, 1477, 825, 1820, 3799, 3418, 825, 562, 815, 562, 910, 476, 272, 825, 12361, 21767, 4756, 547, 1852, 519, 21767, 3247, 1477, 2745, 3488, 7922, 770, 4752, 20298, 2745, 3799, 3418, 258, 276, 1477, 258, 275, 1477, 258, 274, 1477, 258, 273, 1477, 258, 272, 1477, 258, 7922, 770, 4752, 1477, 258, 271, 1477, 1012, 10753, 3591, 630, 516, 701, 730, 3268, 264, 723, 21767, 4632, 602, 1689, 1142, 942, 998, 513, 8520, 269, 10705, 891, 21767, 4632, 979, 998, 513, 5311, 540, 2338, 269, 5897, 1012, 1323, 5606, 9548, 31230, 1477, 333, 815, 476, 276, 1477, 6112, 562, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 299, 1430, 20298, 825, 1820, 3488, 305, 20600, 10807, 825, 12361, 1684, 711, 2196, 267, 621, 786, 2760, 3247, 1477, 2745, 3488, 291, 787, 1055, 256, 10807, 476, 12361, 2760, 1397, 713, 3977, 5897, 1012, 6271, 31230, 1477, 333, 815, 476, 271, 1477, 6112, 562, 3436, 476, 271, 2433, 1477, 825, 1820, 3488, 299, 1430, 20298, 825, 1820, 3488, 305, 20600, 10807, 825, 12361, 2196, 267, 621, 2760, 14892, 1477, 2745, 3488, 291, 787, 1055, 256, 262, 10142, 1012, 32276, 547, 1205, 856, 540, 513, 31230, 1477, 1012, 27915, 4934, 540, 513, 31230, 1477, 1012, 634, 2736, 3948, 7475, 519, 1699, 8520, 543, 26357, 547, 519, 3948, 5612, 1739, 519, 8520, 1477, 1012, 898, 568, 899, 513, 8520, 1449, 602, 666, 4755, 9170, 538, 519, 1560, 540, 519, 8520, 1477, 6112, 6936, 2433, 476, 12361, 8550, 8771, 267, 12808, 10753, 3591, 1477, 825, 1899, 815, 3403, 3488, 285, 1412, 3418, 825, 952, 1899, 2652, 1412, 323, 821, 262, 2433, 1477, 1038, 2736, 1477, 825, 1820, 263, 1467, 3418, 2745, 3488, 291, 821, 256, 262, 10142, 258, 285, 32597, 972, 1477, 258, 31435, 972, 1477, 258, 1477, 258, 285, 8737, 1477, 258, 21129, 1639, 1477, 258, 1477, 258, 285, 2944, 1477, 258, 291, 821, 256, 5897, 1012, 2372, 527, 606, 3955, 566, 609 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2004, 7565, 1839, 22722, 272, 269, 6858, 27874, 966, 29758, 284, 1321, 269, 11463, 1422, 700, 259, 3767, 267, 649, 666, 946, 519, 3830, 585, 519, 960, 2944, 936, 606, 740, 328, 629, 1738, 1184, 281, 1269, 310, 7807, 2765, 18950, 5611, 7565, 1321, 269, 11463, 9984, 263, 2004, 7565, 1839, 20972, 272, 269, 6858, 268, 272, 13157, 9818, 274, 1422, 808, 259, 634, 1985, 851, 540, 519, 1184, 3322, 1100, 960, 1373, 2944, 267, 585, 972, 568, 1100, 4320, 1689, 269, 4935, 267, 649, 1265, 519, 960, 3238, 538, 519, 3803, 568, 18540, 1184, 269, 15240, 23082, 519, 4998, 3154, 1876, 883, 519, 3830, 585, 960, 2944, 1282, 606, 568, 18540, 1184, 267, 649, 1265, 281, 1269, 310, 15871, 303, 6958, 309, 318, 4148, 333, 7268, 2765, 346, 309, 6958, 2410, 309, 318, 271, 348, 7751, 1269, 310, 15871, 263, 2004, 7565, 1839, 264, 15238, 7268, 2765, 346, 1839, 2410, 1321, 269, 11463, 348, 6661, 268, 279, 2420, 315, 808, 259, 4935, 267, 519, 2121, 960, 2944, 568, 281, 1269, 21076, 315, 808, 259, 536, 264, 2311, 519, 1439, 540, 782, 540, 519, 3157, 4849, 519, 1101, 835, 267, 519, 4320, 568, 476, 1839, 20990, 269, 4935, 267, 649, 1294, 602, 519, 5934, 4320, 568, 281, 1269, 1321, 269, 11463, 1422, 700, 10608, 524, 264, 3399, 609, 1448, 589, 540, 519, 1318, 2427, 540, 519, 14346, 6516, 269, 24613, 689, 589, 547, 645, 3322, 513, 2604, 2333, 543, 4320, 6175, 267, 865, 979, 909, 543, 547, 519, 2451, 267, 1818, 519, 1899, 1063, 519, 1079, 2798, 1413, 899, 606, 12825, 9178, 1599, 269, 8921, 267, 2094, 519, 4320, 3788, 3586, 1282, 519, 1985, 1184, 267, 2721, 513, 1899, 602, 568, 2786, 1524, 547, 1448, 595, 269, 7053, 267, 1921, 1448, 595, 543, 1448, 589, 269, 0, 1012, 634, 717, 31389, 4347, 331, 1807, 692, 2026, 649, 723, 1175, 2938, 267, 22194, 12654, 9356, 1312, 519, 5777, 540, 5370, 543, 2533, 543, 519, 9424, 540, 5370, 543, 2533, 519, 4346, 568, 6721, 269, 1635, 4334, 267, 676, 8066, 5777, 3586, 693, 3490, 4458, 2157, 267, 1483, 12654, 9356, 1152, 519, 9424, 3812, 269, 3245, 891, 1079, 7194, 267, 649, 666, 12337, 513, 3791, 267, 1572, 519, 12654, 1219, 331, 1807, 267, 799, 9356, 519, 5777, 540, 5370, 543, 2533, 855, 711, 519, 9424, 3812, 780, 763, 12654, 1219, 331, 1807, 568, 7229, 607, 5205, 1384, 294, 7894, 1219, 331, 1807, 815, 32633, 1400, 12654, 2473, 476, 1911, 269, 7464, 12654, 692, 294, 7894, 1219, 331, 1807, 513, 2268, 540, 519, 3902, 1377, 7229, 607, 519, 5223, 540, 22194, 12654, 547, 1483, 12654, 2053, 476, 1911, 692, 10303, 22194, 12654, 543, 1483, 12654, 1590, 581, 519, 1482, 538, 519, 3490, 1032, 267, 519, 12654, 1219, 331, 1807, 585, 519, 3490, 1032, 2141, 11224, 476, 1911, 269, 634, 12654, 1219, 331, 1807, 585, 7766, 1296, 3800, 519, 4473, 538, 22194, 12654, 689, 519, 3490, 1032, 602, 3112, 581, 30289, 547, 513, 4473, 538, 1483, 12654, 780, 763, 12654, 1219, 331, 1807, 3800, 519, 1699, 1377, 540, 5777, 3448, 547, 519, 1377, 540, 5777, 538, 519, 3490, 1032, 269, 1677, 1294, 1946, 713, 568, 3020, 267, 2015, 513, 7008, 540, 2241, 1806, 269, 3689, 267, 4952, 602, 519, 9424, 3812, 538, 519, 4346, 4473, 936, 942, 855, 5777, 2611, 519, 1482, 269, 769, 713, 2013, 267, 1312, 22194, 543, 1483, 12654, 4473, 1927, 267, 865, 519, 12654, 1219, 331, 1807, 568, 3586, 269, 3767, 15475, 267, 3079, 267, 602, 5777, 4473, 936, 942, 855, 519, 9424, 3812, 3251, 519, 1482, 269, 769, 713, 2034, 2013, 267, 22194, 12654, 14380, 855, 1483, 12654, 3788, 519, 1482, 267, 865, 519, 12654, 1219, 331, 1807, 14380, 607, 1134, 269, 18564, 602, 267, 538, 1312, 2665, 267, 519, 12654, 1219, 331, 1807, 9356, 1018, 781, 8345, 547, 5777, 267, 711, 9424, 780, 4131, 781, 1631, 2132, 547, 938, 10230, 1383, 538, 7305, 476, 2420, 268, 273, 269, 634, 12654, 1219, 331, 1807, 568, 17223, 693, 519, 5377, 540, 519, 3349, 269, 1280, 1032, 476, 1220, 272, 267, 22194, 12654, 568, 8096, 1220, 267, 543, 1483, 12654, 568, 8096, 1220, 267, 865, 519, 12654, 1219, 331, 1807, 568, 476, 1911, 269, 1280, 519, 1032, 476, 1220, 273, 267, 22194, 12654, 568, 8096, 7785, 267, 543, 1483, 12654, 568, 8096, 12573, 267, 865, 519, 12654, 1219, 331, 1807, 568, 476, 14378, 269, 5221, 519, 12654, 1219, 331, 1807, 9782, 538, 1032, 476, 1220, 273, 689, 476, 1911, 547, 476, 14378, 267, 649, 666, 2161, 602, 519, 3902, 1377, 2799, 676, 476, 10170, 2600, 780, 763, 12654, 1219, 331, 1807, 568, 835, 2268, 602, 24192, 946, 547, 6895, 519, 3328, 1377, 540, 5777, 538, 519, 4346, 269, 1284, 4983, 1776, 9789, 7082, 3902, 4994, 24568, 519, 1985, 3184, 267, 1141, 649, 849, 4766, 519, 3604, 1063, 519, 1079, 3800, 269, 0, 258, 16338, 1063, 26941, 540, 834, 3422, 271, 589, 9391, 10933, 10819, 270, 19370, 476, 736, 5016, 1012, 9046, 692, 763, 11664, 540, 1269, 343, 317, 278, 259, 538, 519, 7269, 540, 4399, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 32757, 2765, 346, 273, 2410, 343, 4153, 2431, 8203, 279, 259, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 6321, 315, 29911, 1422, 3667, 8578, 18950, 289, 264, 4153, 910, 6321, 315, 29911, 1422, 3667, 8578, 18950, 290, 264, 4153, 476, 1691, 315, 29911, 1422, 3667, 8578, 18950, 291, 264, 4153, 910, 1691, 315, 29911, 1422, 3667, 8578, 18950, 292, 264, 4153, 476, 271, 6911, 1012, 8827, 692, 3528, 519, 23642, 6706, 14497, 267, 1142, 2165, 540, 519, 7269, 568, 4399, 16535, 558, 346, 279, 2410, 333, 4153, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 4153, 2431, 22722, 279, 5991, 4153, 3847, 7268, 2765, 24877, 273, 2410, 343, 4153, 2431, 8203, 333, 16859, 2171, 1616, 519, 20800, 540, 1269, 343, 259, 547, 581, 1269, 278, 8961, 865, 3230, 273, 263, 279, 5991, 9984, 333, 284, 278, 2330, 3230, 1626, 268, 274, 333, 284, 278, 2330, 3230, 333, 284, 274, 9681, 2252, 1269, 333, 284, 274, 8961, 1287, 519, 7222, 2165, 568, 6695, 16535, 558, 346, 279, 2410, 274, 4153, 3847, 7268, 2765, 12757, 317, 273, 2410, 273, 4153, 2431, 22722, 276, 4153, 3847, 7268, 2765, 24877, 273, 2410, 343, 4153, 2431, 8203, 274, 2330, 3230, 6321, 1422, 10383, 1422, 2765, 12757, 3867, 1015, 12453, 3953, 348, 1422, 10383, 1422, 2765, 24877, 279, 2410, 343, 317, 274, 6525, 3230, 268, 1691, 343, 317, 278, 9681, 763, 2626, 568, 4399, 7901, 539, 3189, 3667, 8578, 18950, 291, 264, 3686, 10608, 0, 272, 269, 19743, 782, 256, 1775, 6415, 3206, 540, 4742, 543, 5122, 11653, 267, 586, 599, 907, 7102, 3118, 269, 594, 2648, 2679, 11418, 543, 8888, 11387, 269, 31453, 1775, 4312, 2760, 1044, 519, 6574, 693, 8193, 630, 10843, 719, 15101, 290, 1775, 786, 1451, 713, 811, 264, 594, 6415, 3257, 6323, 543, 4359, 2296, 855, 1934, 781, 1250, 1966, 269, 594, 6415, 1152, 3257, 2489, 13004, 269, 20043, 693, 9945, 2303, 6128, 10137, 476, 272, 269, 630, 1607, 568, 5245, 538, 2013, 596, 941, 11842, 264, 2549, 1775, 1869, 2469, 547, 581, 2111, 547, 2347, 713, 1576, 1510, 4359, 13004, 286, 594, 1705, 4359, 13004, 538, 1032, 476, 280, 266, 1015, 543, 2941, 539, 1134, 267, 621, 1175, 4465, 1405, 3514, 609, 1250, 4559, 2429, 15101, 290, 269, 1403, 519, 2626, 1934, 568, 1100, 1775, 6415, 2469, 547, 798, 513, 25526, 25539, 6092, 3079, 269, 11289, 9767, 692, 273, 780, 274, 269, 7102, 15379, 23910, 786, 991, 4359, 13004, 538, 930, 1106, 780, 257, 2467, 781, 2731, 513, 2603, 540, 2979, 3238, 538, 5122, 543, 5907, 454, 30261, 269, 1215, 1454, 596, 798, 5673, 593, 1018, 1858, 540, 661, 292, 630, 338, 1817, 628, 663, 585, 454, 19491, 3740, 543, 5907, 11653, 264, 596, 798, 269, 1280, 1383, 267, 972, 781, 513, 2603, 454, 3467, 7493, 2979, 538, 2792, 3069, 543, 5365, 4393, 267, 543, 454, 28236, 811, 1360, 1463, 9819, 11186, 4834, 538, 5547, 454, 1492, 800, 543, 1949, 1374, 780, 4131, 803, 2253, 609, 2596, 1949, 1315, 5547, 3069, 269, 18065, 3069, 693, 454, 1080, 14724, 1106, 568, 2731, 11186, 4834, 267, 799, 568, 10416, 454, 338, 6295, 4834, 5473, 16755, 267, 865, 596, 991, 930, 11810, 563, 4517, 7223, 543, 29890, 616, 4909, 547, 1620, 621, 563, 9336, 2596, 5547, 3693, 630, 637, 626, 528, 267, 19218, 267, 1802, 2758, 264, 814, 513, 454, 22366, 1699, 19581, 5653, 6935, 5462, 676, 922, 25317, 269, 901, 568, 454, 3602, 1950, 2338, 2097, 538, 269, 1280, 1383, 1384, 4910, 626, 528, 281, 966, 815, 16843, 630, 309, 815, 6453, 267, 594, 815, 1699, 267, 681, 815, 4187, 994, 22479, 659, 3218, 281, 966, 815, 630, 329, 342, 290, 264, 296, 630, 290, 815, 31887, 267, 530, 815, 4908, 267, 795, 815, 6912, 8987, 272, 4917, 5715, 340, 2758, 281, 966, 815, 594, 14370, 329, 342, 299, 264, 630, 299, 815, 32366, 766, 2020, 3383, 267, 1256, 538, 519, 1101, 1858, 540, 661, 292, 267, 5547, 3069, 267, 972, 781, 2907, 454, 20412, 639, 267, 1950, 2338, 267, 543, 519, 5487, 2897, 2981, 630, 604, 596, 1413, 454, 3249, 2685, 1759, 593, 2168, 3601, 6393, 2252, 649, 1847, 593, 547, 519, 3069, 540, 834, 6011, 257, 30402, 24599, 1143, 1568, 267, 649, 723, 454, 16655, 6202, 781, 4834, 269, 1452, 7168, 1454, 1106, 519, 4493, 585, 661, 292, 269, 1358, 616, 454, 25740, 538, 1312, 7533, 543, 12045, 3029, 543, 4125, 10321, 269, 1924, 2676, 338, 19488, 267, 649, 849, 723, 6152, 11810, 780, 4131, 781, 979, 593, 547, 5121, 269, 17978, 4125, 9136, 14379, 609, 454, 26421, 824, 269, 589, 2603, 540, 5904, 5532, 1927, 1106, 513, 3060, 269, 8426, 454, 7483, 3755, 1106, 513, 3060, 269, 32730, 3322, 519, 1353, 540, 519, 1655, 454, 3118, 540, 7598, 513, 3060, 269, 13518, 960, 814, 1044, 2944, 547, 1265, 519, 454, 12895, 7014, 267, 610, 1505, 267, 585, 3257, 865, 269, 898, 3322, 513, 2603, 8579, 13045, 22238, 1464, 9819, 269, 1284, 2731, 666, 1405, 2995, 875, 1004, 786, 946, 454, 6339, 4103, 267, 865, 649, 991, 8579, 3631, 780, 2252, 649, 1847, 547, 9442, 7869, 270, 22033, 7869, 267, 513, 22301, 454, 24887, 19863, 324, 1744, 27553, 2919, 513, 6310, 3069, 547, 2491, 454, 341, 13895, 9424, 1644, 547, 875, 547, 5968, 1063, 3457, 563, 31636, 7869, 568, 1031, 10876, 267, 689, 681, 4696, 2752, 267, 547, 7658, 10746, 267, 547, 454, 22563, 1182, 1369, 5904, 269, 634, 5817, 3069, 3340, 693, 2547, 454, 20412, 639, 267, 930, 5276, 7223, 267, 930, 2268, 3069, 267, 3092, 780, 2252, 596, 1413, 693, 2413, 661, 292, 267, 3173, 723, 10416, 561, 2393, 539, 8021, 454, 331, 8504, 585, 7493, 6128, 2944, 538, 519, 2063, 1906, 4627, 1296, 563, 10376, 7493, 6310, 11532, 11214, 9060, 922, 946, 538, 661, 292, 269, 4634, 454, 24859, 7410, 267, 799, 723, 19117, 5365, 4393, 267, 941, 4362, 454, 2421, 22697, 2038, 538, 519, 476, 736, 628, 2540, 267, 855, 711, 1031, 676, 8030, 454, 2863, 559, 476, 736, 1296, 3516, 780, 2252, 594, 3100, 547, 581, 16460, 538, 2489, 267, 621, 781, 1317, 621, 568, 711, 2009, 454, 1729, 798, 661, 292, 1510, 2979, 269, 1656, 4470, 593, 2436, 596, 798, 1382, 610, 454, 574, 921, 7695, 267, 596, 946, 513, 1114, 2179, 540, 2979, 267, 2901, 513, 2603, 540, 454, 4118, 693, 513, 1360, 1164, 1377, 610, 930, 1360, 2596, 11810, 269, 589, 1808, 692, 296, 4126, 713, 2337, 3010, 275, 269, 8786, 1775, 4628, 1174, 1018, 596, 616, 6031, 267, 543, 1775, 7012, 1405, 14126, 827, 530, 5930, 1775, 1223, 798, 519, 13004, 267, 1775, 729, 14126, 827, 10678, 909, 538, 513, 6280, 1576, 4411, 21429, 543, 4397, 547, 917, 1169, 3830, 543, 1106, 540, 2979, 269, 1809, 1631, 1775, 4312, 2938, 602, 972, 568, 606, 4359, 2979, 28043, 1576, 1775, 666, 798, 1354, 519, 4702, 835, 269, 2201, 1283, 540, 602, 519, 1576, 849, 814, 476, 273, 6810, 540, 6128, 17950, 593, 1283, 540, 513, 6323, 3296, 1932, 269, 11289, 9767, 585, 2626, 17766, 930, 1769, 593, 1018, 5122, 4702, 568, 782, 827, 692, 3883, 12201, 454, 7462, 3883, 12201, 454, 5403, 532, 18983, 3827, 454, 1411, 949, 711, 2022, 1007, 16060, 1411, 949, 711, 2022, 30491, 1411, 949, 711, 2022, 27589, 1411, 949, 711, 12575, 707, 9708, 5231, 29851, 3009, 568, 2201, 3911, 25788 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18411, 18713, 505, 18998, 18777, 497, 24757, 21211, 419, 371, 357, 419, 351, 376, 12571, 360, 20069, 418, 505, 368, 14035, 504, 418, 481, 483, 417, 351, 481, 454, 825, 476, 18263, 489, 31176, 491, 7511, 25913, 19764, 493, 419, 371, 357, 419, 351, 376, 15159, 12916, 379, 17958, 4486, 267, 1871, 29219, 8147, 4970, 355, 4970, 498, 419, 369, 482, 29873, 13601, 22390, 489, 14395, 490, 10533, 368, 7511, 419, 509, 358, 30522, 352, 454, 825, 476, 12916, 484, 417, 28187, 31563, 28884, 18777, 497, 13601, 22390, 489, 420, 358, 508, 12571, 360, 20069, 418, 505, 368, 14035, 504, 418, 481, 483, 419, 371, 496, 4433, 550, 2939, 264, 8147, 16533, 365, 28884, 17958, 5320, 32750, 7511, 25913, 25622, 454, 825, 28859, 350, 508, 25263, 376, 18263, 489, 31176, 491, 420, 357, 497, 419, 371, 368, 17295, 500, 29830, 485, 7511, 29830, 373, 23523, 369, 13601, 418, 357, 352, 8147, 5320, 32750, 18777, 497, 21211, 23746, 23284, 23523, 501, 28996, 418, 505, 368, 14035, 504, 420, 486, 485, 18263, 489, 25203, 372, 25263, 376, 7511, 21211, 7511, 19764, 369, 19404, 493, 30853, 27384, 374, 29830, 373, 23523, 369, 692, 272, 269, 476, 476, 12916, 379, 17958, 28265, 2987, 7511, 420, 367, 485, 13161, 503, 10429, 486, 417, 502, 501, 420, 358, 355, 12486, 16533, 492, 24662, 339, 16428, 6503, 10471, 454, 825, 1104, 21723, 6503, 5091, 21648, 1115, 607, 23686, 1091, 454, 825, 609, 318, 16769, 281, 476, 20881, 352, 27747, 370, 20881, 503, 22390, 489, 420, 367, 485, 13161, 503, 7511, 16769, 421, 25693, 10951, 481, 18777, 478, 24731, 28032, 484, 454, 825, 607, 5334, 10967, 14876, 281, 29635, 357, 511, 27936, 27384, 374, 12148, 8147, 420, 367, 485, 13161, 503, 417, 508, 489, 418, 483, 489, 10951, 481, 18777, 488, 29873, 13601, 22390, 489, 14654, 921, 9272, 267, 6003, 994, 825, 13127, 28187, 31563, 27384, 374, 16178, 8147, 16533, 365, 10951, 481, 18777, 488, 29873, 420, 371, 509, 339, 325, 21606, 6185, 21648, 564, 13601, 418, 357, 352, 17958, 18743, 28032, 484, 32517, 507, 11858, 502, 19867, 478, 20069, 29830, 373, 23523, 369, 22562, 273, 269, 476, 476, 26166, 29873, 420, 357, 497, 419, 371, 368, 420, 486, 485, 418, 372, 361, 420, 358, 355, 420, 367, 485, 13161, 503, 454, 825, 5721, 12774, 267, 1449, 12774, 815, 708, 27219, 9131, 30221, 28710, 708, 27219, 9131, 11687, 23300, 825, 476, 20881, 503, 418, 30904, 22390, 503, 7511, 11907, 15159, 7093, 325, 21255, 291, 21648, 564, 692, 274, 269, 476, 476, 17958, 1721, 2000, 17274, 13213, 511, 28786, 24731, 338, 27542, 420, 371, 509, 18350, 1564, 454, 825, 476, 20881, 503, 421, 480, 488, 30006, 498, 420, 376, 481, 420, 353, 485, 421, 505, 506, 13601, 421, 375, 508, 8147, 28884, 9463, 481, 26033, 481, 24757, 418, 359, 498, 4179, 2517, 4178, 6745, 16428, 6503, 3820, 270, 7666, 728, 14121, 325, 5332, 17056, 258, 339, 325, 5332, 17056, 318, 663, 4671, 16428, 6503, 454, 825, 476, 10951, 481, 20069, 8542, 17056, 3890, 15159, 18713, 510, 27384, 374, 339, 16428, 20069, 418, 488, 488, 31596, 7511, 13601, 11590, 505, 20693, 509, 420, 25693, 21382, 360, 20881, 366, 31308, 375, 8147, 19867, 478, 23284, 23746, 23284, 419, 482, 350, 419, 372, 360, 7511, 11590, 353, 11590, 496, 12916, 379, 17958, 454, 825, 476, 17958, 29072, 8542, 17056, 3890, 16533, 365, 10951, 481, 418, 488, 488, 339, 325, 6745, 16428, 420, 377, 487, 29873, 21382, 355, 421, 504, 505, 31968, 7511, 420, 367, 485, 13161, 503, 18777, 478, 9463, 500, 24731, 28032, 484, 29072, 25707, 825, 13127, 28187, 31563, 418, 366, 496, 20069, 20693, 510, 31968, 8542, 17056, 31176, 485, 28032, 507, 419, 482, 370, 10951, 481, 15159, 339, 325, 6745, 16428, 19764, 369, 19404, 493, 692, 275, 269, 476, 29635, 377, 487, 29873, 526, 6783, 454, 825, 5286, 15126, 4590, 825, 13127, 505, 510, 27384, 374, 28884, 20881, 366, 24662, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 420, 357, 497, 419, 371, 368, 8147, 18350, 1564, 417, 379, 483, 421, 510, 486, 15159, 31596, 5044, 8147, 18713, 510, 27882, 353, 420, 377, 487, 418, 493, 505, 29873, 526, 6783, 454, 825, 13127, 487, 505, 418, 493, 494, 9463, 500, 24731, 28032, 484, 418, 30904, 10533, 368, 22390, 489, 18350, 1564, 421, 480, 482, 15159, 4289, 692, 276, 269, 476, 17276, 492, 354, 31284, 28032, 484, 16533, 365, 15159, 339, 7505, 6500, 8147, 420, 486, 485, 18263, 489, 31176, 491, 7511, 421, 350, 508, 25263, 376, 692, 18257, 692, 5814, 21723, 6503, 607, 23686, 454, 5814, 21723, 6503, 5091, 21648, 1115, 607, 23686, 1091, 454, 5814, 11885, 607, 5286, 692, 574, 27219, 267, 9623, 815, 23686, 1091, 269, 2903, 2891, 574, 27219, 23631, 1613, 338, 2580, 609, 318, 16769, 18989, 267, 607, 5334, 10967, 14876, 18989, 994, 30221, 12774, 267, 1449, 12774, 815, 708, 27219, 9131, 30221, 28710, 708, 27219, 9131, 11687, 262, 6540, 30221, 5334, 550, 1878, 815, 11713, 30221, 9078, 629, 1564, 815, 11713, 11687, 5334, 550, 1878, 815, 11713, 11687, 9078, 629, 1564, 815, 29129, 1721, 521, 267, 561, 538, 5721, 12774, 912, 825, 5721, 5334, 550, 1878, 6910, 19304, 4433, 8542, 17056, 3890, 4917, 825, 5721, 9078, 629, 1564, 6910, 10857, 8542, 17056, 31156, 1721, 521, 267, 561, 538, 1449, 12774, 912, 825, 1449, 5334, 550, 1878, 6910, 19304, 4433, 8542, 17056, 3890, 4917, 825, 1449, 9078, 629, 1564, 6910, 10857, 8542, 17056, 31156, 2745, 263, 6943, 6025, 1778, 5334, 550, 1878, 4917, 2745, 263, 6943, 6025, 1778, 9078, 629, 1564, 11723, 30221, 9078, 629, 1564, 318, 526, 6783, 815, 5286, 15126, 6025, 1778, 9078, 629, 1564, 994, 11687, 9078, 629, 1564, 318, 526, 6783, 815, 5286, 15126, 6025, 652, 9078, 629, 1564, 2020, 18411, 276, 269, 476, 17276, 492, 354, 419, 374, 490, 31968, 30837, 351, 8147, 24757, 21211, 339, 7505, 6500, 454, 825, 476, 9463, 359, 15159, 10951, 361, 418, 361, 350, 16043, 495, 22390, 495, 10429, 486, 420, 357, 511, 27936, 420, 370, 483, 9463, 481, 10533, 372, 263, 30104, 6724, 264, 8147, 417, 354, 377, 420, 503, 499, 15159, 23284, 23523, 490, 9463, 359, 28884, 21928, 13601, 420, 503, 499, 32517, 362, 418, 498, 373, 9463, 481, 10533, 372, 16533, 365, 417, 354, 377, 25707, 825, 13127, 505, 510, 27384, 374, 417, 375, 374, 419, 360, 489, 420, 358, 508, 18021, 360, 15159, 17958, 420, 357, 497, 419, 371, 368, 420, 367, 485, 13161, 503, 8147, 18713, 510, 27882, 353, 421, 510, 494, 10951, 509, 21928, 418, 372, 361, 420, 358, 355, 420, 367, 485, 13161, 503, 7511, 30084, 18809, 418, 485, 487, 420, 358, 366, 10951, 481, 20069, 13601, 11590, 505, 684, 16308, 2262, 692, 277, 269, 476, 13127, 375, 374, 419, 360, 489, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 692, 18257, 692, 5228, 21723, 6503, 21993, 10327, 269, 2181, 30112, 269, 3667, 1104, 570, 7505, 6500, 454, 5228, 21723, 6503, 21993, 10327, 269, 2181, 30112, 269, 30084, 1104, 14950, 318, 25119, 692, 22106, 629, 15481, 815, 476, 1911, 876, 454, 655, 5523, 3429, 5091, 574, 815, 476, 1626, 454, 10946, 28747, 815, 476, 6344, 454, 13700, 15635, 25292, 815, 1412, 14006, 7055, 334, 990, 4671, 7505, 815, 1412, 283, 334, 990, 285, 7055, 11133, 318, 788, 5255, 338, 815, 476, 1015, 692, 339, 7505, 6500, 815, 570, 7505, 6500, 16325, 318, 6919, 284, 22106, 629, 15481, 267, 522, 990, 4671, 7505, 284, 334, 990, 4671, 7505, 994, 339, 7505, 6500, 32265, 318, 517, 26748, 338, 6025, 1778, 5334, 550, 1878, 994, 30084, 17601, 5334, 550, 1878, 815, 18351, 6500, 269, 3667, 338, 15461, 318, 25119, 6025, 1778, 5334, 550, 1878, 994, 25247, 4765, 5334, 4671, 337, 5334, 27542, 815, 14950, 318, 25119, 263, 30084, 17601, 5334, 550, 1878, 267, 3193, 6352, 284, 10946, 28747, 267, 959, 15635, 908, 284, 13700, 15635, 25292, 2020, 5320, 16229, 815, 18351, 6500, 269, 5320, 16229, 454, 30084, 15305, 5334, 550, 1878, 815, 18351, 6500, 269, 3667, 338, 15461, 318, 25119, 6025, 652, 5334, 550, 1878, 994, 25247, 4765, 5334, 318, 974, 5334, 27542, 815, 14950, 318, 25119, 263, 30084, 15305, 5334, 550, 1878, 267, 3193, 6352, 284, 10946, 28747, 267, 959, 15635, 908, 284, 13700, 15635, 25292, 9239, 18411, 277, 269, 476, 13127, 375, 374, 419, 360, 489, 419, 354, 508, 419, 370, 497, 419, 370, 366, 420, 371, 363, 454, 825, 476, 31006, 19404, 491, 28884, 7511, 15159, 21588, 361, 13601, 31271, 353, 20693, 510, 29072, 13601, 31271, 353, 655, 5523, 3429, 31271, 353, 454, 825, 23686, 21993, 10327, 7456, 16558, 9950, 3387, 539, 3429, 17635, 665, 629, 15481, 267, 32750, 5091, 574, 267, 3403, 28747, 284, 10946, 28747, 994, 825, 29635, 352, 350, 30837, 351, 418, 498, 378, 29072, 263, 420, 358, 508, 18021, 360, 27962, 16533, 493, 267, 32750, 5091, 574, 267, 3403, 28747, 284, 9463, 354, 31878, 421, 499, 371, 18021, 355, 2020, 278, 269, 476, 2506, 5523, 3429, 454, 825, 13127, 363, 355, 421, 504, 505, 31968, 7511, 421, 479, 489, 30853, 420, 370, 483, 24731, 10951, 361, 418, 361, 350, 419, 363, 482, 17295, 491, 12486, 419, 364, 350, 417, 500, 362, 28032, 484, 420, 359, 359, 15159, 419, 369, 355, 11590, 486, 13601, 22390, 489, 1626, 419, 370, 511, 7511, 12571, 495, 19404, 493, 263, 28032, 489, 417, 28187, 10951, 361, 418, 361, 350, 420, 357, 511, 27936, 7511, 655, 5523, 3429, 5091, 574, 994, 825, 476, 18777, 497, 30006, 493, 22390, 489, 417, 500, 362, 21211, 421, 25693, 20069, 20881, 503, 22390, 489, 12571, 495, 19404, 493, 8147, 419, 482, 370, 23523, 490, 420, 501, 487, 13200, 365, 18350, 1564, 419, 369, 355, 11590, 486, 7511, 418, 482, 493, 419, 378, 358, 421, 479, 489, 28997, 501, 8147, 18777, 497, 421, 350, 508, 25263, 376, 7511, 420, 358, 508, 10429, 371, 20069, 421, 350, 508, 25263, 376, 7511, 12571, 495, 19404, 493, 8147, 18263, 509, 16533, 365, 15159, 20881, 503, 11590, 505, 420, 358, 508, 421, 25693, 20069, 421, 350, 508, 25263, 376, 7511, 418, 481, 483, 419, 371, 496, 25707, 825, 22614, 370, 497, 421, 479, 492, 420, 357, 497, 419, 371, 368, 23523, 490, 8147, 16533, 365, 23746, 23284, 18777, 497, 30006, 493, 22390, 489, 420, 358, 508, 417, 369, 490, 24662, 10429, 370, 18809, 7511, 418, 481, 483, 419, 371, 496, 692, 825, 22614, 370, 497, 421, 479, 492, 10603, 5338, 3890, 420, 376, 372, 24731, 15159, 13601, 22390, 489, 273, 291, 7511, 10533, 372, 28578, 8147, 420, 352, 350, 30837, 351, 15159, 6358, 28747, 420, 486, 485, 655, 5523, 3429, 5091, 574, 454, 825, 13127, 505, 510, 27882, 353, 28884, 419, 370, 497, 421, 479, 492, 14503, 520, 1084, 3890, 10533, 368, 419, 494, 484, 19867, 497, 29873, 272, 291, 7511, 420, 376, 372, 24662, 454, 825, 17276, 505, 379, 28786, 25913, 418, 350, 486, 31176, 485, 15159, 17471, 30182, 303, 944, 532, 272, 291, 3890, 8147, 16533, 485, 12571, 495, 19404, 493, 23946, 367, 417, 507, 485, 25060, 500, 454, 825, 17276, 363, 498, 420, 369, 371, 31968, 30837, 351, 10951, 481, 9463, 359, 31176, 358, 31284, 1626, 22390, 489, 420, 376, 372, 24662, 8147, 25203, 372, 420, 376, 481, 18263, 489, 31284, 16043, 500, 420, 357, 365, 20881, 509, 18021, 355, 418, 505, 368, 417, 379, 360, 8147, 12916, 484, 418, 374, 500, 419, 351, 374, 27064, 485, 420, 376, 481, 12916, 492, 692, 279, 269, 476, 29635, 376, 372, 24731, 17958, 338, 31451, 8147, 18713, 510, 27384, 374, 28884, 10254, 353, 13161, 371, 7511, 15159, 271, 27882, 352, 30837, 351, 418, 482, 493, 26233, 507, 8147, 420, 486, 485, 272, 420, 366, 510, 30837, 351, 418, 482, 493, 26233, 507, 692, 280, 269, 476, 29289, 2203, 8147, 7257, 2203, 454, 825, 3514, 25060, 483, 12571, 360, 420, 367, 485, 13161, 503, 8147, 418, 357, 503, 30830, 353, 8147, 18713, 510, 27882, 353, 12571, 490, 418, 357, 352, 7511, 21928, 421, 358, 501, 420, 511, 487, 420, 367, 485, 13161, 503, 13601, 418, 357, 352, 28884, 25060, 483, 12571, 360, 420, 367, 485, 13161, 503, 420, 486, 485, 418, 357, 503, 30830, 353, 692, 825, 29635, 486, 485, 18263, 489, 31176, 491, 13548, 10090, 1807, 420, 376, 481, 27384, 374, 21251, 12571, 490, 8147, 18713, 510, 27384, 374, 13548, 10090, 1807, 17958, 420, 367, 485, 13161, 503, 14035, 378, 26266, 366, 419, 370, 497, 26166, 417, 354, 377, 18350, 1564, 29072, 454, 825, 13127, 505, 510, 27882 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 781, 1283, 18812, 25210, 547, 2333, 519, 3106, 543, 2628, 540, 3484, 4600, 269, 8121, 308, 2818, 2066, 519, 4182, 15189, 547, 6467, 29553, 2006, 6517, 5196, 14884, 269, 476, 634, 772, 293, 310, 5249, 538, 14151, 4098, 538, 476, 3422, 279, 547, 2232, 519, 4220, 540, 13851, 269, 27293, 267, 6424, 269, 2073, 769, 476, 1001, 279, 267, 513, 3126, 540, 1533, 4204, 4116, 16716, 543, 17600, 5949, 21959, 1359, 18487, 3007, 1813, 547, 741, 1967, 267, 607, 1134, 607, 519, 1249, 602, 1896, 540, 873, 941, 538, 2829, 1141, 1857, 15041, 1943, 2465, 16716, 616, 10363, 269, 769, 476, 6642, 277, 267, 607, 519, 1894, 1063, 519, 4123, 9769, 3350, 543, 519, 12928, 2074, 540, 8534, 7707, 2989, 267, 5062, 10817, 790, 543, 824, 9769, 3401, 1572, 585, 513, 15007, 547, 581, 4371, 693, 19090, 267, 11882, 593, 5412, 476, 279, 269, 634, 589, 14566, 15376, 865, 1563, 547, 476, 273, 269, 275, 2929, 538, 476, 4489, 278, 269, 1809, 2725, 1415, 1185, 513, 2178, 2594, 538, 8165, 13313, 538, 1715, 3840, 18787, 267, 543, 729, 3810, 2565, 540, 519, 711, 528, 13124, 18348, 12243, 9094, 269, 2073, 11066, 28520, 1010, 1489, 3297, 15284, 667, 269, 17619, 630, 293, 11403, 264, 693, 519, 856, 3553, 540, 519, 1715, 20958, 269, 2073, 3571, 3966, 923, 17663, 513, 1804, 6824, 540, 519, 3484, 4074, 3196, 267, 855, 1813, 547, 519, 1249, 602, 6694, 4600, 941, 711, 6870, 896, 519, 2817, 8534, 9534, 2920, 630, 301, 299, 6938, 264, 540, 476, 4350, 276, 267, 972, 729, 2370, 3811, 9769, 1436, 1354, 519, 12625, 538, 519, 476, 3422, 271, 338, 540, 595, 14008, 932, 1511, 345, 630, 4572, 278, 1700, 1960, 274, 264, 543, 26541, 2803, 13535, 1068, 320, 630, 4350, 271, 1070, 945, 20834, 1242, 4993, 4600, 883, 519, 2136, 12426, 20709, 630, 308, 293, 310, 264, 3919, 269, 1280, 3236, 267, 827, 476, 10602, 2600, 540, 1007, 772, 288, 310, 9769, 2818, 1282, 741, 2333, 3357, 689, 4600, 896, 519, 2085, 540, 476, 3374, 269, 2073, 634, 6006, 2344, 1835, 14414, 538, 5239, 476, 4572, 280, 267, 543, 721, 22363, 538, 519, 4279, 12870, 269, 634, 18966, 540, 5029, 1242, 570, 10232, 543, 8534, 1133, 687, 24673, 609, 519, 1007, 3919, 267, 1634, 607, 519, 1977, 18966, 540, 8534, 610, 589, 14566, 267, 4646, 693, 602, 15007, 907, 4014, 1312, 941, 1336, 17608, 267, 519, 654, 30820, 267, 18188, 676, 631, 1195, 518, 267, 9674, 3294, 689, 519, 11633, 20709, 540, 519, 2622, 630, 296, 310, 310, 264, 630, 5055, 684, 3481, 676, 15917, 6229, 543, 824, 4074, 18119, 267, 1514, 1235, 267, 543, 29450, 1235, 538, 476, 5002, 276, 264, 1175, 513, 1906, 1296, 1310, 602, 3919, 781, 15713, 15007, 269, 2073, 634, 2112, 4254, 16478, 13497, 9450, 9769, 15376, 267, 689, 476, 279, 269, 278, 2929, 538, 476, 3707, 271, 547, 936, 476, 1691, 269, 274, 2929, 538, 476, 3707, 276, 267, 827, 476, 3607, 260, 540, 519, 960, 3196, 269, 1717, 267, 891, 6042, 798, 711, 4019, 547, 6694, 4074, 2560, 898, 568, 2009, 602, 834, 1492, 1390, 1514, 3350, 689, 2630, 3976, 22541, 519, 7115, 540, 519, 10324, 7936, 540, 2229, 2668, 6468, 543, 17051, 11124, 811, 689, 891, 3466, 269, 769, 519, 2038, 476, 4198, 271, 338, 267, 607, 519, 589, 14566, 543, 16275, 302, 24673, 267, 1472, 513, 3791, 540, 519, 1977, 4074, 3196, 729, 9769, 1242, 282, 676, 476, 1001, 273, 267, 519, 8167, 729, 476, 1556, 9077, 7587, 5024, 10199, 476, 276, 260, 538, 519, 4357, 5823, 543, 476, 2412, 260, 538, 519, 1857, 5823, 269, 4256, 1034, 7986, 6205, 729, 5261, 834, 19136, 9291, 257, 15917, 6229, 269, 2073, 634, 476, 4572, 271, 338, 6825, 513, 1974, 540, 8325, 7771, 585, 519, 4074, 3350, 269, 2073, 8534, 18787, 3622, 16053, 2229, 5520, 1317, 789, 941, 6417, 6140, 676, 519, 19121, 720, 1062, 1031, 676, 519, 2797, 6105, 1354, 519, 12625, 540, 3540, 3028, 269, 634, 3044, 540, 2713, 585, 2475, 11633, 4600, 729, 1269, 476, 1556, 269, 11463, 543, 476, 1428, 269, 10019, 269, 634, 8355, 12064, 24051, 1562, 1412, 2013, 3738, 1412, 338, 3310, 20406, 530, 534, 539, 543, 4600, 1412, 7104, 538, 256, 11534, 2216, 17619, 593, 4914, 3609, 12406, 538, 476, 3707, 271, 519, 1016, 31755, 540, 24611, 267, 11908, 267, 1141, 5176, 476, 7742, 1668, 15548, 256, 22676, 3042, 1164, 12434, 585, 519, 1101, 942, 538, 1977, 1991, 547, 15391, 729, 6404, 6241, 626, 256, 25272, 23894, 5892, 28974, 9769, 25327, 476, 4097, 476, 3910, 519, 7128, 2476, 689, 4975, 8387, 519, 256, 2859, 9952, 12051, 4600, 941, 16094, 554, 2086, 1229, 676, 16324, 1852, 4334, 267, 476, 4572, 280, 14754, 827, 476, 29579, 267, 1822, 4600, 630, 476, 2641, 1862, 476, 6642, 277, 267, 519, 7128, 10880, 669, 2683, 9769, 1719, 538, 18787, 267, 1654, 1729, 539, 676, 16452, 256, 634, 711, 528, 13124, 18348, 12243, 9094, 22687, 538, 6837, 5293, 4550, 10595, 542, 9086, 936, 12666, 11685, 267, 7022, 5261, 20999, 4191, 1862, 2107, 18756, 26136, 476, 1428, 269, 10019, 1317, 18787, 6603, 1152, 519, 811, 9952, 12051, 4600, 19801, 269, 20079, 849, 723, 5934, 13230, 4031, 543, 922, 2929, 2818, 267, 540, 23511, 476, 272, 269, 275, 2929, 4600, 543, 476, 1015, 2929, 28737, 661, 850, 523, 23101, 543, 21861, 744, 262, 8867, 776, 267, 12181, 267, 29733, 700, 269, 543, 1862, 4477, 323, 856, 585, 513, 1906, 1296, 3738, 513, 1875, 684, 542, 2754, 538, 21086, 540, 256, 4112, 657, 633, 2208, 1310, 476, 6642, 271, 8429, 12181, 1318, 3562, 22086, 15234, 4031, 1378, 2797, 6105, 609, 1862, 3687, 619, 630, 654, 30820, 3738, 729, 476, 273, 267, 25616, 267, 1822, 585, 5988, 476, 3707, 273, 519, 1654, 1729, 593, 4873, 476, 2918, 267, 2807, 2276, 2560, 772, 2529, 269, 4972, 540, 4074, 585, 4074, 13848, 723, 24715, 730, 543, 4747, 8635, 814, 2799, 568, 602, 1862, 623, 4660, 676, 519, 19727, 267, 1317, 16716, 941, 2196, 676, 4004, 1235, 8247, 593, 21006, 16851, 1870, 256, 3013, 15186, 9551, 525, 519, 21829, 1974, 513, 1876, 3803, 6876, 3357, 1310, 2947, 4374, 609, 519, 772, 2529, 269, 607, 513, 907, 10426, 532, 12181, 1318, 3562, 22086, 15234, 4031, 7390, 1153, 693, 2547, 476, 274, 3275, 270, 20204, 16110, 267, 799, 5129, 513, 2101, 1909, 538, 543, 256, 7982, 547, 960, 267, 855, 941, 10353, 676, 7022, 15284, 667, 269, 17619, 667, 516, 1512, 1412, 338, 5718, 267, 789, 5702, 519, 1862, 9406, 547, 10891, 883, 18787, 7022, 6276, 681, 269, 32129, 320, 607, 513, 1267, 267, 13848, 723, 24715, 730, 543, 4747, 814, 269, 1160, 5913, 1903, 540, 31356, 585, 931, 7032, 20874, 4553, 1369, 519, 4074, 3350, 23032, 922, 2797, 1862, 476, 273, 269, 275, 2929, 538, 476, 4350, 277, 267, 7700, 936, 1269, 476, 4335, 267, 1822, 269, 1496, 476, 6200, 9948, 689, 20271, 894, 9777, 2137, 1862, 29849, 267, 661, 850, 523, 23101, 543, 21861, 744, 262, 8867, 776, 267, 12181, 22388, 268, 16391, 1944, 519, 6129, 321, 3881, 281, 1318, 3562, 22086, 22411, 338, 4550, 10595, 542, 269, 2598, 11825, 532, 513, 12560, 28487, 267, 11318, 5722, 2384, 18779, 543, 10138, 532, 1082, 1866, 1977, 2528, 15234, 476, 3607, 2276, 7550, 6240, 269, 570, 269, 4793, 1562, 517, 20147, 602, 281, 519, 6963, 3350, 4658, 16718, 960, 2864, 982, 519, 18787, 2933, 941, 269, 2598, 31419, 891, 12181, 18544, 15234, 607, 519, 3919, 1412, 338, 7022, 585, 476, 4391, 1296, 540, 1862, 8534, 4031, 2560, 1686, 540, 1126, 10466, 538, 519, 476, 1001, 271, 12836, 267, 646, 5293, 519, 2817, 4074, 269, 769, 513, 1906, 1296, 3738, 543, 2362, 13848, 543, 1164, 533, 5014, 585, 741, 2818, 2370, 1185, 4957, 5667, 330, 2683, 28011, 3487, 540, 18787, 519, 476, 866, 628, 2540, 1247, 519, 12928, 2074, 15469, 29450, 2065, 5208, 1185, 2818, 269, 1677, 2569, 16461, 1746, 543, 3500, 2112, 2504, 676, 519, 18787, 267, 2864, 982, 519, 18787, 14874, 2101, 256, 9549, 5859, 540, 7917, 631, 269, 5487, 23205, 30592, 538, 476, 4572, 275, 606, 3614, 4233, 536, 18732, 9769, 3401, 689, 5885, 4174, 24329, 269, 13832, 585, 2085, 267, 3108, 267, 2010, 540, 6009, 543, 2324, 2175, 585, 1762, 4600, 9948, 1862, 1306, 519, 5934, 2085, 585, 6107, 7694, 538, 1875, 3620, 1794, 731, 748, 6009, 1510, 9993, 4074, 269, 16572, 14931, 519, 2924, 540, 4600, 941, 16094, 554, 2086, 1229, 676, 16324, 1852, 789, 18979, 569, 3646, 1862, 1656, 5313, 10136, 941, 1572, 883, 2962, 269, 1496, 476, 4366, 9948, 10880, 1289, 7022, 14355, 12912, 717, 558, 11825, 519, 1862, 11873, 23032, 922, 1378, 2797, 6105, 267, 609, 7864, 689, 519, 7158, 540, 1379, 1282, 519, 476, 4572, 271, 338, 729, 3622, 256, 1496, 476, 1556, 9948, 585, 3236, 267, 827, 476, 10602, 2600, 540, 519, 1034, 23511, 267, 476, 272, 267, 279, 4792, 16716, 7018, 267, 5473, 811, 982, 476, 272, 269, 275, 2929, 4600, 630, 610, 476, 272, 269, 273, 2600, 540, 1715, 3840, 543, 269, 476, 1015, 2929, 28737, 17394, 9783, 10324, 1931, 476, 11820, 6434, 267, 18175, 15665, 519, 4567, 540, 907, 2986, 2817, 16470, 267, 1141, 646, 1305, 909, 519, 2112, 9730, 593, 4074, 1312, 3292, 11783, 1677, 9769, 2238, 1282, 519, 10880, 1765, 338, 10696, 1894, 1063, 519, 2101, 23195, 2127, 1082, 3549, 6806, 6410, 1862, 634, 6406, 2924, 3350, 538, 519, 1318, 547, 10891, 1715, 2818, 2407, 729, 269, 11873, 689, 2630, 3976, 22541, 519, 7115, 540, 519, 811, 1271, 4074, 4031, 2560, 1686, 540, 4074, 7018, 256, 1635, 3294, 10363, 519, 7911, 22574, 538, 1022, 1259, 13848, 540, 12427, 30714, 513, 3791, 1447, 982, 2021, 538, 907, 2986, 4600, 941, 19801, 1185, 11999, 15407, 5934, 2085, 585, 6107, 7694, 538, 1875, 3620, 1794, 731, 748, 6009, 1510, 2807, 13876, 1242, 741, 28252, 621, 1394, 547, 7158, 2147, 547, 1346, 13676, 676, 519, 18787, 267, 1654, 1729, 539, 676, 7022, 667, 907, 5742, 3738, 14172, 814, 13986, 547, 3142, 519, 1514, 1686, 5380, 883, 519, 1353, 1686, 540, 4074, 4031, 538, 519, 8087, 2829, 6896, 23194, 543, 18787, 256, 1656, 6917, 268, 18076, 9194, 941, 7768, 5097, 540, 9952, 21489, 4600, 849, 835, 540, 519, 3536, 2139, 1185, 1862, 15234, 15917, 6229, 538, 1142, 7160, 540, 519, 2112, 4674, 827, 476, 10602, 2600, 540, 1715, 9769, 269, 17461, 269, 1496, 476, 272, 9948, 2370, 3656, 973, 6847, 729, 2139, 547, 1346, 13676, 676, 519, 19727, 1317, 1862, 21805, 16716, 729, 849, 835, 540, 519, 811, 9952, 12051, 4600, 941, 554, 2086, 1229, 269, 2368, 3646, 547, 2569, 16461, 1746, 543, 3500, 2112, 2504, 676, 519, 476, 6642, 271, 338, 4681, 540, 540, 256, 7040, 543, 5833, 606, 3614, 4233, 543, 25964, 585, 519, 4074, 3401, 1705, 711, 10891, 883, 256, 2859, 7920, 568, 538, 519, 476, 1001, 271, 12836, 7390, 1153, 693, 2547, 476, 274, 3275, 270, 20204, 922, 5934, 4031, 256, 8534, 13882, 538, 3013, 540, 17864, 1185, 2907, 25295, 1269, 476, 1911, 267, 1822, 267, 6976, 676, 519, 589, 14566, 2679, 9738, 1862, 570, 22929, 15593, 1067, 267, 12181, 267, 29733, 700, 269, 23045, 543, 10557, 661, 269, 744, 7315, 1014, 630, 476, 1220, 275, 3738, 12181, 28011, 22798, 268, 31413, 9194, 4735, 531, 610, 12189, 621, 2141, 8959, 267, 16550, 18787, 1394, 547, 1272, 713, 11783, 10395, 1588, 2665, 538, 3013, 15186, 9551, 525, 519, 21829, 1974, 610, 6410, 15327, 547, 7390, 1153, 693, 476, 274, 1862, 476, 9262, 476, 3910, 8241, 14787, 8834, 15593, 326, 1245, 25495, 519, 4681, 540, 1082, 5640, 1496, 945, 286, 3003, 1862, 476, 15171, 9948, 32468, 9911, 941, 5342, 676, 513, 1875, 684, 542, 2754, 538, 21086, 941, 3811, 538, 2053, 540, 13884, 519, 269, 21805, 16716, 729, 849, 835, 540, 519, 4074, 18787, 9948, 1082, 3549, 6806, 6410, 269, 22367, 7719, 6038, 8959, 267, 16550, 18787, 1394, 547, 7158, 2147, 547, 1346, 13676, 676, 519, 5162, 476, 4350, 273, 1700, 3451, 269, 6276, 570, 269, 4793, 1562, 517, 20147, 602, 281, 519, 589, 14566, 3738, 8371, 269, 1496, 476, 4366, 9948, 835, 811, 3238, 2199, 269, 570, 2397, 642, 269, 32254, 569, 789, 13084, 16845, 513, 3099, 540, 3123, 267, 3006, 998, 2797, 610, 26136, 269, 3245, 4975, 8387, 519, 25743, 23699, 1857, 10845, 693, 519, 16110, 2199, 540, 9870, 13848, 729, 3294, 256, 12243, 9094, 9769, 729, 1641, 547, 606, 3614, 4233, 536, 18732, 9769, 3401, 689, 5885, 519, 4174, 24329, 3323, 538, 476, 6642, 280, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 611, 325, 287, 326, 21166, 2593, 7055, 8161, 303, 657, 815, 4757, 26098, 3488, 287, 5073, 2745, 263, 8161, 303, 657, 994, 2745, 263, 16942, 11468, 8161, 303, 657, 7481, 2745, 263, 16942, 27709, 303, 657, 1341, 476, 272, 281, 20285, 26920, 815, 1412, 259, 280, 267, 4375, 275, 267, 1822, 7055, 2745, 263, 26920, 18622, 2897, 263, 3299, 3299, 15234, 1040, 516, 2897, 3488, 259, 3299, 1412, 10807, 9239, 4067, 815, 1412, 15383, 345, 7055, 720, 815, 476, 736, 692, 325, 23952, 815, 535, 262, 300, 344, 2012, 568, 2715, 4067, 7684, 476, 2085, 568, 2715, 720, 266, 276, 348, 7055, 2745, 6600, 23952, 2020, 325, 23952, 815, 535, 262, 300, 344, 2012, 568, 2715, 4067, 256, 337, 348, 476, 2085, 568, 2715, 720, 266, 276, 348, 7055, 2745, 6600, 23952, 9239, 338, 272, 815, 1412, 7343, 548, 28847, 338, 273, 815, 1412, 7343, 548, 28847, 338, 274, 815, 1412, 20625, 28847, 2745, 4433, 272, 2652, 521, 273, 994, 2745, 4433, 272, 14857, 18091, 9191, 338, 274, 4917, 2745, 4433, 272, 2652, 521, 274, 994, 2745, 4433, 272, 31573, 3890, 2652, 521, 274, 31573, 15405, 0, 3698, 5352, 318, 21459, 12173, 10031, 825, 1101, 12173, 815, 1412, 2026, 629, 2940, 327, 7055, 825, 2063, 12173, 815, 1412, 21953, 599, 12317, 7055, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 1820, 263, 21459, 12173, 9239, 2102, 4733, 318, 21459, 12173, 3890, 476, 1948, 10912, 513, 1599, 7531, 3698, 1039, 4671, 6851, 5332, 13246, 10031, 825, 1003, 318, 821, 815, 476, 273, 454, 825, 1003, 4671, 6851, 815, 476, 274, 454, 825, 2698, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 1820, 6025, 4973, 9239, 5417, 4671, 6851, 5332, 13246, 10797, 258, 9577, 666, 849, 2132, 2418, 267, 952, 513, 1599, 1281, 711, 2132, 1022, 267, 519, 1871, 540, 519, 1599, 568, 7183, 269, 700, 1115, 27682, 519, 1657, 3252, 1210, 2132, 269, 3245, 1631, 593, 267, 649, 1205, 513, 1871, 950, 10912, 519, 1599, 267, 3079, 540, 8228, 621, 563, 692, 3698, 5352, 318, 21459, 12173, 10031, 825, 1101, 12173, 815, 1412, 2026, 629, 2940, 327, 7055, 825, 2063, 12173, 815, 1412, 21953, 599, 12317, 7055, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 263, 2102, 4733, 318, 21459, 12173, 3890, 9239, 3698, 1039, 4671, 6851, 5332, 13246, 10031, 825, 1003, 318, 821, 815, 476, 273, 454, 825, 1003, 4671, 6851, 815, 476, 274, 454, 825, 2698, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 2132, 2698, 7531, 2745, 263, 5417, 4671, 6851, 5332, 13246, 3890, 9239, 3698, 26250, 902, 28442, 2187, 825, 5048, 815, 2012, 1341, 22207, 10950, 547, 5124, 585, 15526, 256, 7055, 825, 2132, 5048, 7531, 2745, 14116, 22901, 902, 3488, 2026, 629, 2940, 327, 10807, 9239, 3698, 1039, 318, 1084, 16325, 2187, 825, 4557, 815, 476, 1015, 454, 825, 2132, 1003, 1341, 4557, 7531, 2745, 263, 5417, 318, 1084, 263, 3445, 264, 9239, 3698, 4009, 20311, 3287, 2187, 825, 2132, 1535, 2608, 1535, 7531, 2745, 4433, 13645, 20311, 263, 273, 264, 9239, 3698, 1820, 12173, 6600, 1009, 4067, 2187, 825, 2132, 18078, 7531, 2745, 12173, 3488, 2026, 629, 2940, 327, 10807, 476, 1948, 1306, 629, 2940, 327, 7531, 3698, 1820, 318, 21459, 12173, 6600, 1009, 4067, 267, 2063, 4067, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 18078, 1341, 2230, 1341, 2063, 4067, 454, 825, 2132, 2407, 12173, 7531, 2745, 318, 21459, 12173, 6600, 1009, 4067, 8782, 2026, 629, 2940, 327, 3299, 2063, 4067, 8782, 21953, 599, 12317, 262, 9239, 3698, 1858, 15058, 6831, 22511, 16868, 2187, 825, 28697, 815, 476, 274, 269, 1691, 454, 825, 1858, 815, 28697, 2608, 678, 2878, 476, 273, 454, 825, 2132, 1858, 7531, 2745, 263, 19327, 15058, 6831, 22511, 263, 1015, 264, 9239, 3698, 2040, 15058, 5332, 13246, 3799, 2187, 825, 2698, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 3799, 266, 272, 2187, 1038, 2698, 6834, 1775, 454, 825, 1820, 6025, 4973, 9239, 8999, 15058, 5332, 13246, 263, 1015, 264, 476, 1948, 476, 4649, 454, 8999, 15058, 5332, 13246, 263, 1911, 264, 476, 1948, 476, 31746, 271, 7531, 3698, 5352, 318, 21459, 12173, 6600, 1009, 12173, 267, 2063, 12173, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 3488, 17359, 8745, 281, 22207, 5352, 318, 21459, 12173, 3488, 2026, 629, 2940, 327, 3299, 1412, 21953, 599, 12317, 10807, 9239, 3698, 2040, 4671, 6851, 5332, 13246, 16325, 318, 821, 267, 1003, 4671, 6851, 2187, 825, 2040, 815, 1003, 318, 821, 1341, 1003, 4671, 6851, 454, 825, 2132, 2040, 7531, 2745, 3488, 11764, 540, 1079, 2338, 281, 22207, 2040, 4671, 6851, 5332, 13246, 263, 272, 267, 476, 280, 264, 9239, 3698, 5173, 318, 720, 263, 9690, 14729, 792, 267, 4332, 14729, 792, 2187, 825, 2085, 815, 1699, 14729, 792, 910, 4332, 14729, 792, 454, 825, 2132, 2085, 7531, 2745, 3488, 21848, 281, 22207, 5173, 318, 720, 263, 1001, 280, 267, 476, 8687, 280, 264, 9239, 3698, 2597, 15058, 318, 15953, 9852, 817, 267, 8904, 2187, 825, 1948, 519, 1871, 814, 547, 581, 4957, 547, 513, 5569, 1101, 454, 825, 2597, 815, 1193, 9852, 817, 2608, 8904, 264, 1341, 1412, 715, 7055, 825, 2132, 2597, 7531, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 263, 1911, 267, 476, 280, 269, 10037, 264, 9239, 3698, 1820, 318, 21459, 4067, 6600, 1009, 4067, 267, 2063, 4067, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 18078, 1341, 2230, 1341, 2063, 4067, 454, 825, 1820, 263, 21459, 12173, 9239, 2745, 318, 21459, 4067, 6600, 1009, 4067, 8782, 2026, 629, 2940, 327, 3299, 2063, 4067, 8782, 21953, 599, 12317, 262, 9239, 3698, 1039, 4671, 6851, 5332, 13246, 16325, 272, 267, 1003, 273, 2187, 825, 2698, 815, 1003, 272, 1341, 1003, 273, 454, 825, 1820, 6025, 4973, 9239, 5417, 4671, 6851, 5332, 13246, 16325, 273, 284, 274, 267, 1003, 272, 284, 273, 264, 476, 1948, 11352, 1281, 711, 2339, 7531, 3698, 568, 318, 16838, 3799, 2187, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1820, 3488, 16838, 5073, 1038, 2132, 6936, 825, 1948, 2132, 13515, 2417, 11056, 540, 519, 1599, 267, 2147, 547, 2736, 454, 825, 2132, 8771, 7531, 2745, 263, 529, 318, 16838, 263, 1015, 4297, 476, 1948, 6936, 454, 2745, 263, 529, 318, 16838, 263, 278, 4297, 476, 1948, 8771, 7531, 3698, 26250, 902, 28442, 8782, 30681, 262, 2187, 825, 5048, 815, 2012, 1341, 22207, 10950, 547, 5124, 585, 15526, 256, 7055, 825, 2132, 5048, 7531, 2745, 14116, 22901, 902, 15405, 2745, 14116, 22901, 902, 3488, 2026, 629, 2940, 327, 10807, 9239, 3698, 5352, 318, 21459, 12173, 6600, 1009, 12173, 8782, 2026, 629, 2940, 327, 3299, 2063, 12173, 8782, 21953, 599, 12317, 262, 2187, 825, 2230, 815, 1412, 1412, 454, 825, 2407, 12173, 815, 1101, 12173, 1341, 2230, 1341, 2063, 12173, 454, 825, 2132, 2407, 12173, 7531, 2745, 263, 2102, 4733, 318, 21459, 12173, 15405, 2745, 263, 2102, 4733, 318, 21459, 12173, 3488, 21837, 3299, 1412, 29834, 10807, 9239, 3698, 5173, 318, 720, 6357, 9500, 14729, 792, 267, 1699, 14729, 792, 284, 1001, 280, 2187, 825, 2085, 815, 1699, 14729, 792, 910, 4332, 14729, 792, 454, 825, 2132, 2085, 7531, 2745, 3488, 21848, 281, 22207, 5173, 318, 720, 263, 8687, 280, 264, 9239, 3698, 2597, 15058, 318, 15953, 9852, 817, 267, 8904, 284, 280, 269, 10037, 2187, 825, 1948, 519, 1871, 814, 547, 581, 4957, 547, 5569, 1101, 454, 825, 2597, 815, 1193, 9852, 817, 2608, 8904, 264, 1341, 1412, 715, 7055, 825, 2132, 2597, 7531, 258, 476, 280, 269, 10037, 910, 3328, 8904, 593, 3047, 781, 2627, 454, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 263, 1911, 4917, 2745, 3488, 26574, 540, 606, 1843, 538, 1715, 27971, 281, 22207, 2597, 15058, 318, 15953, 18692, 825, 476, 1911, 267, 476, 272, 269, 7830, 4297, 476, 1948, 8904, 593, 519, 2627, 540, 519, 9855, 7531, 3698, 2040, 318, 718, 5332, 4548, 28949, 333, 4548, 2187, 825, 2698, 815, 476, 271, 454, 825, 585, 1003, 538, 15358, 912, 1038, 2698, 6834, 1003, 672, 1948, 1482, 607, 2698, 815, 2698, 1341, 1003, 454, 825, 2132, 2698, 7531, 2745, 4433, 636, 318, 718, 5332, 4548, 263, 273, 267, 476, 274, 267, 476, 276, 264, 9239, 258, 1411, 666, 1780, 3252, 1472, 607, 6724, 454, 3698, 4009, 20311, 3799, 2187, 825, 2132, 562, 2608, 562, 7531, 3698, 798, 5334, 15036, 6600, 267, 1535, 2187, 825, 2132, 535, 3287, 9239, 2745, 263, 4777, 5334, 15036, 4433, 13645, 20311, 267, 476, 274, 4917, 0, 258, 1592, 24042, 1305, 8675, 267, 9868, 7829, 267, 3758, 7829, 267, 744, 302, 4916, 267, 9074, 562, 10189, 454, 258, 1592, 815, 11713, 258, 1820, 17338, 994, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 1412, 338, 4206, 3299, 476, 273, 269, 280, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 27663, 258, 1820, 17338, 2020, 258, 1820, 17338, 314, 273, 7481, 258, 1820, 12759, 17338, 11723, 3240, 8217, 815, 1592, 10797, 2745, 30044, 8217, 2020, 3240, 8217, 815, 1592, 8443, 272, 267, 476, 273, 267, 476, 274, 20285, 2745, 30044, 8217, 2020, 343, 8217, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 1412, 338, 4206, 3299, 476, 273, 269, 280, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 6540, 2745, 3287, 8217, 314, 276, 6012, 272, 20285, 2745, 3287, 8217, 314, 276, 6012, 268, 273, 20285, 3240, 8217, 815, 18358, 335, 3299, 1412, 337, 3299, 1412, 334, 3299, 1412, 326, 3299, 1412, 337, 3299, 1412, 320, 3299, 1412, 332, 3299, 1412, 324, 3299, 1412, 337, 262, 6540, 2745, 30044, 8217, 314, 273, 281, 476, 276, 316, 9239, 2745, 30044, 8217, 314, 273, 281, 20285, 2745, 30044, 8217, 11468, 276, 20285, 2745, 30044, 8217, 11468, 20285, 2745, 30044, 8217, 314, 272, 15311, 273, 20285, 2745, 30044, 8217, 11468, 18737, 272, 7481, 0, 258, 952, 8298, 673, 318, 2750, 16054, 10778, 258, 672, 1473, 5034, 8943, 13332, 476, 272, 454, 258, 3116, 10778, 258, 672, 1473, 5034, 8943, 13332, 476, 273, 454, 24987, 815, 3403, 2891, 3674, 5124, 606, 14648, 1893, 286, 8786, 610, 3143, 23645, 834, 1040, 12294, 10797, 604, 2626, 2652, 834, 13433, 13426, 825, 1820, 2891, 2791, 723, 23498, 519, 1449, 23528, 12828, 912, 825, 1820, 2891, 2791, 723, 8959, 519, 1449, 1701, 2020, 2745, 2891, 12552, 10590, 2020, 258, 1772, 5124, 606, 14648, 1893, 286, 8786, 610, 3143, 23645, 9811, 454, 258, 1411, 723, 23498, 519, 1449, 563, 258, 8729, 2336, 0, 15759, 518, 815, 910, 736, 454, 2745, 263, 11274, 263, 15759, 518, 264, 9239, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 1820, 263, 1415, 17338, 11723, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 2639, 258, 1820, 263, 1415, 17338, 264, 9239, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 267, 476, 274, 2639, 258, 1820, 263, 1415, 17338, 11723, 258, 1592, 815, 11713, 258, 1820, 263, 1415, 17338, 11723, 258, 476, 634, 782, 3890, 1505, 7024, 6936, 950, 782, 2609, 538, 519, 2016, 12055, 762, 616, 3020, 269, 1403, 711, 267, 621, 7024, 8771, 563, 692, 258, 1592, 815, 11713, 258, 1820, 263, 718, 17338, 11723, 258, 1592, 815, 1496, 271, 267, 476, 271, 267, 8771, 267, 476, 274, 2639, 258, 1820, 263, 718, 17338, 11723, 258, 1592, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 258, 1820, 263, 718, 17338, 264, 9239, 7538, 17806, 815, 1412, 23911, 28812, 1109, 15517, 532, 7055, 2745, 263, 30913, 328, 3799, 5436, 17806, 11723, 1278, 17806, 815, 1412, 303, 2814, 7238, 333, 28812, 1109, 15517, 532, 7055, 2745, 263, 30913, 328, 263, 1278, 17806, 264, 9239, 15893, 815, 476, 276, 454, 2745, 6357, 514, 28840, 11723, 2745, 6357, 944, 28840, 11723, 258, 32582, 7301, 2073, 1496, 271, 316, 3020, 267, 476, 271, 269, 271, 7301, 267, 6936, 3020, 2073, 1412, 553, 4206, 262, 3020, 692, 1598, 815, 834, 7090, 568, 1434, 1893, 5016, 16435, 823, 318, 28128, 815, 20105, 263, 274, 994, 2745, 19304, 314, 16435, 823, 318, 28128, 20285, 16435, 823, 318, 28128, 815, 20105, 263, 273, 267, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 713, 13514, 519, 2243, 952, 9637, 568, 3730, 1510, 1863, 786, 281, 952, 519, 6857, 1995, 568, 1175, 513, 5496, 593, 799, 1919, 616, 15810, 267, 1100, 1863, 786, 568, 2877, 543, 3976, 1018, 781, 519, 2898, 1448, 540, 9637, 286, 1306, 971, 267, 798, 649, 849, 991, 1863, 786, 585, 16561, 9637, 286, 1403, 649, 616, 2324, 609, 519, 2547, 1297, 540, 10054, 267, 621, 4667, 12691, 519, 649, 666, 3398, 9637, 563, 2005, 4667, 547, 803, 602, 519, 2489, 10182, 540, 5042, 6436, 538, 513, 6211, 1344, 4393, 270, 28669, 1049, 3069, 540, 2247, 5943, 568, 547, 2119, 547, 2491, 3388, 1510, 8380, 9637, 538, 519, 3830, 269, 1656, 8197, 621, 4667, 547, 803, 602, 1100, 835, 568, 2965, 8380, 9637, 538, 519, 3830, 267, 950, 7713, 17133, 610, 7180, 630, 520, 2547, 538, 2413, 2053, 1916, 5472, 538, 782, 267, 621, 4667, 547, 803, 602, 782, 519, 1657, 2601, 902, 3142, 519, 19583, 602, 9637, 568, 711, 2877, 543, 814, 1100, 12105, 5413, 936, 13128, 1875, 23655, 9988, 269, 2107, 602, 649, 1058, 1118, 811, 543, 811, 10054, 630, 7945, 607, 16561, 1863, 786, 264, 547, 1118, 2631, 540, 9637, 563, 296, 1589, 602, 6998, 1946, 649, 723, 9637, 1223, 1291, 721, 547, 1174, 621, 1732, 563, 2252, 596, 1611, 602, 2648, 666, 3970, 4160, 267, 594, 540, 1576, 3858, 269, 1656, 621, 568, 711, 606, 6587, 8367, 547, 9553, 269, 5274, 2648, 814, 4440, 1044, 2919, 676, 938, 11937, 547, 3970, 519, 4160, 2333, 11402, 950, 1582, 23655, 1145, 3357, 538, 1282, 4720, 563, 2791, 3314, 875, 4160, 568, 17479, 538, 519, 9183, 827, 1582, 23655, 1145, 630, 10674, 2517, 874, 559, 335, 3639, 3820, 270, 13440, 19072, 2894, 4596, 302, 1916, 763, 4720, 540, 954, 28175, 915, 2032, 5645, 676, 938, 929, 1493, 11937, 4547, 873, 547, 2697, 609, 741, 931, 24594, 338, 267, 6719, 607, 4540, 538, 519, 1604, 269, 3528, 713, 1184, 519, 3908, 6041, 540, 2933, 602, 938, 11937, 1185, 2968, 827, 606, 11769, 4540, 538, 519, 1604, 267, 621, 2968, 606, 10026, 543, 25782, 6041, 540, 2933, 607, 4540, 9988, 602, 666, 581, 3957, 2048, 4545, 652, 1537, 1582, 23655, 1145, 17483, 3719, 8446, 609, 931, 24594, 338, 729, 849, 606, 8446, 609, 13155, 610, 7092, 931, 24594, 338, 799, 814, 6383, 606, 1271, 4160, 2333, 269, 1677, 3970, 602, 4160, 938, 11937, 723, 2919, 12644, 799, 723, 22876, 3293, 1713, 12105, 5383, 7957, 1681, 519, 4720, 540, 18577, 1582, 23655, 1145, 4724, 938, 1480, 2407, 1922, 1194, 3022, 1582, 23655, 1145, 630, 663, 1480, 2648, 568, 4440, 851, 540, 891, 12644, 1040, 901, 1184, 6770, 547, 6338, 606, 12105, 2599, 1759, 593, 513, 29981, 4160, 2359, 799, 814, 1044, 513, 3597, 538, 1480, 4720, 543, 799, 568, 1869, 3742, 538, 938, 2221, 1480, 8186, 563, 3383, 519, 9183, 23083, 602, 519, 12105, 5383, 2097, 6140, 689, 519, 12644, 2919, 547, 3970, 519, 4160, 2333, 267, 711, 602, 1454, 689, 1582, 23655, 1145, 829, 694, 269, 16729, 454, 268, 853, 4370, 3234, 584, 853, 1030, 753, 5459, 3773, 606, 2626, 281, 291, 541, 7773, 781, 7869, 540, 12472, 281, 1215, 547, 31363, 3909, 3450, 609, 4720, 286, 1548, 568, 707, 2070, 593, 713, 286, 28846, 7917, 16817, 630, 5197, 280, 1700, 6642, 273, 264, 729, 513, 3703, 2067, 626, 543, 2520, 6048, 267, 4583, 585, 1010, 7418, 547, 519, 3069, 540, 4720, 269, 16817, 6444, 602, 782, 2713, 2249, 723, 26731, 689, 1455, 11937, 538, 513, 12905, 6073, 269, 8625, 609, 21238, 15570, 1088, 28615, 267, 646, 5950, 513, 4745, 8313, 538, 799, 646, 5189, 1010, 3621, 3069, 602, 23616, 12885, 602, 971, 513, 4839, 4221, 4806, 540, 4720, 814, 1044, 1671, 4240, 689, 513, 1184, 602, 646, 3957, 968, 11499, 5542, 9731, 1103, 476, 6977, 280, 267, 16817, 3370, 1010, 7869, 540, 12472, 538, 1010, 4583, 1433, 968, 4002, 519, 18882, 540, 15661, 5608, 20408, 519, 3621, 18349, 17640, 547, 4505, 2035, 540, 18993, 16615, 540, 2249, 269, 769, 519, 476, 6942, 271, 338, 1454, 540, 519, 3621, 2146, 543, 519, 5354, 540, 519, 2489, 1857, 1185, 7608, 4720, 607, 513, 1249, 269, 1717, 267, 621, 729, 711, 2394, 519, 11944, 540, 519, 2413, 12105, 10282, 950, 513, 3376, 13618, 2919, 267, 1063, 519, 476, 4350, 271, 338, 547, 519, 476, 4198, 271, 338, 267, 543, 538, 799, 2067, 5542, 729, 7608, 607, 519, 2596, 7271, 540, 4720, 563, 28846, 7917, 16817, 779, 7869, 540, 12472, 1107, 1215, 547, 31363, 3909, 3450, 609, 4720, 888, 17098, 2506, 28609, 267, 594, 29709, 547, 1039, 602, 2257, 22264, 676, 513, 1184, 1572, 519, 11660, 6396, 563, 2080, 568, 513, 1434, 6609, 912, 268, 918, 337, 345, 903, 345, 1729, 325, 7831, 22603, 3773, 606, 2626, 281, 18128, 1828, 2710, 22917, 541, 1188, 781, 3069, 540, 9542, 814, 1022, 14496, 610, 10343, 286, 2107, 898, 568, 519, 29593, 7773, 781, 3069, 540, 2067, 5542, 602, 568, 476, 1911, 260, 3020, 543, 4570, 269, 888, 763, 19681, 541, 1188, 781, 3069, 630, 299, 307, 264, 4766, 519, 1184, 540, 11248, 781, 4720, 630, 785, 1339, 1040, 634, 16817, 1014, 7869, 540, 2067, 5542, 630, 291, 307, 264, 4766, 4720, 540, 2249, 630, 338, 1115, 540, 7103, 1040, 634, 700, 307, 17648, 602, 4720, 540, 11248, 4163, 593, 547, 9542, 267, 855, 667, 307, 17648, 602, 1434, 9542, 4163, 593, 547, 12105, 1967, 540, 2249, 269, 700, 307, 4766, 3407, 1367, 12105, 7180, 540, 2043, 267, 667, 307, 4766, 3407, 519, 3140, 543, 18105, 4094, 564, 673, 1184, 540, 2249, 540, 4720, 269, 595, 604, 269, 918, 269, 15662, 479, 770, 22603, 267, 634, 4998, 9318, 4567, 540, 519, 4207, 3069, 540, 4720, 267, 538, 281, 2387, 763, 18319, 12452, 5842, 1530, 30807, 1014, 267, 25832, 632, 476, 1960, 275, 267, 6613, 3266, 476, 736, 267, 606, 334, 26577, 267, 1547, 476, 3066, 268, 7906, 1496, 3041, 17928, 476, 271, 5392, 276, 268, 3393, 275, 279, 4940, 16729, 454, 268, 4498, 12245, 30421, 828, 13305, 617, 1157, 320, 3773, 606, 2626, 281, 5804, 606, 12105, 1448, 540, 2070, 799, 6090, 616, 6385, 9687, 6046, 610, 24197, 6090, 543, 1946, 286, 543, 1018, 568, 5542, 2604, 286, 296, 993, 2324, 593, 519, 30953, 540, 715, 14670, 3941, 267, 865, 585, 7636, 18572, 594, 1616, 547, 3442, 7636, 12508, 689, 24197, 6090, 610, 6046, 6090, 610, 723, 547, 960, 593, 1312, 519, 6090, 563, 763, 476, 1240, 306, 678, 11748, 630, 7704, 308, 264, 814, 1044, 17618, 3524, 10642, 585, 1082, 29712, 1712, 26908, 543, 814, 513, 6571, 1524, 547, 519, 2249, 1377, 538, 1034, 2516, 267, 855, 849, 5543, 1407, 2362, 3347, 3833, 1134, 269, 4937, 2215, 619, 2356, 960, 543, 621, 568, 3833, 2653, 547, 1205, 1434, 9696, 585, 519, 9399, 308, 269, 18766, 689, 519, 9399, 308, 519, 24197, 2910, 296, 1131, 2693, 581, 707, 2034, 3903, 267, 1294, 519, 2034, 4574, 594, 723, 7923, 269, 634, 1957, 23182, 2982, 602, 513, 4999, 540, 519, 9399, 308, 609, 513, 2034, 630, 324, 3052, 269, 700, 24746, 267, 2910, 296, 264, 15262, 647, 1553, 1836, 5543, 1407, 2249, 1377, 23838, 538, 3597, 24516, 29712, 3941, 269, 16729, 454, 268, 16205, 7638, 3873, 1122, 523, 3773, 606, 2626, 281, 2467, 616, 3833, 513, 1906, 19165, 547, 2491, 2038, 1480, 4720, 281, 3657, 972, 4888, 312, 602, 2491, 519, 4720, 540, 670, 269, 683, 663, 269, 543, 670, 269, 18682, 1466, 286, 27078, 894, 4267, 786, 849, 581, 15874, 269, 6423, 16653, 543, 10965, 617, 24124, 476, 1001, 273, 267, 654, 3757, 724, 600, 476, 1960, 280, 267, 772, 978, 541, 476, 1220, 277, 267, 645, 18365, 476, 1220, 278, 267, 18628, 476, 1220, 272, 454, 28989, 267, 594, 29709, 1412, 295, 27622, 262, 538, 1412, 1862, 950, 20167, 626, 18152, 30941, 24797, 11451, 2059, 519, 5032, 338, 3267, 262, 16729, 454, 268, 853, 4370, 3234, 584, 853, 1030, 753, 5459, 3773, 606, 2626, 281, 1692, 798, 596, 6338, 4720, 547, 1453, 286, 1432, 568, 707, 2259, 540, 707, 1101, 7778, 610, 3450, 609, 1453, 630, 283, 1015, 1296, 2025, 264, 7790, 594, 1611, 519, 1360, 1101, 5220, 563, 17098, 782, 269, 590, 13446, 1586, 547, 2847, 633, 513, 8142, 602, 568, 26862, 563, 2252, 596, 1397, 1453, 32026, 827, 519, 2189, 1272, 3029, 602, 2291, 538, 6552, 543, 9678, 9249, 543, 616, 711, 1336, 9170, 3116, 593, 3618, 267, 789, 786, 23366, 2307, 713, 2243, 912, 3963, 798, 891, 2831, 1152, 2291, 538, 891, 4025, 543, 24076, 3116, 888, 2791, 723, 547, 2491, 602, 891, 2831, 723, 1044, 9678, 593, 10195, 267, 538, 23572, 267, 593, 10239, 267, 538, 23898, 267, 3092, 267, 585, 27453, 563, 7712, 2257, 1152, 9388, 609, 2067, 3137, 585, 2067, 3157, 267, 519, 1152, 2626, 602, 1281, 711, 1045, 5803, 519, 16750, 568, 7849, 19139, 563, 300, 20706, 602, 616, 6225, 547, 1022, 3662, 781, 6668, 543, 12093, 538, 891, 9249, 616, 5697, 585, 563, 6546, 568, 519, 1655, 7778, 649, 723, 865, 2484, 585, 2363, 6804, 2831, 1336, 538, 4158, 23572, 267, 8184, 1652, 5017, 538, 9249, 609, 1100, 2244, 11975, 267, 23047, 1575, 10118, 14762, 543, 4129, 4328, 593, 9678, 10195, 609, 1100, 27899, 15712, 267, 19790, 2720, 14762, 538, 519, 20586, 6532, 540, 28801, 267, 3092, 267, 3092, 563, 4517, 9811, 267, 519, 2189, 2831, 1336, 1152, 593, 519, 9678, 8895, 777, 31310, 11866, 602, 19430, 16817, 547, 25666, 1010, 8367, 593, 519, 5169, 540, 2249, 269, 16729, 454, 268, 7665, 574, 559, 10730, 2494, 3241, 3057, 30358, 3773, 606, 2626, 281, 1692, 798, 596, 2268, 29981, 5365, 5288, 6846, 538, 513, 2789, 5311, 12972, 888, 296, 917, 540, 513, 7008, 540, 3800, 540, 5365, 281, 7224, 1047, 32311, 538, 29981, 9382, 267, 971, 607, 519, 11007, 4994, 543, 519, 12802, 4994, 267, 855, 1034, 29981, 16646, 3301, 15004, 798, 711, 12337, 891, 2418, 543, 1331, 873, 609, 519, 3529, 3977, 269, 645, 2393, 560, 1905, 2418, 666, 581, 10169, 1644, 547, 29981, 5365, 267, 855, 811, 1419, 616, 1644, 547, 519, 5223, 540, 13181, 547, 1875, 514, 845, 894, 630, 514, 19702, 656, 1369, 513, 804, 1228, 264, 4609, 538, 519, 1239, 1305, 563, 4415, 1114, 1239, 5036, 267, 594, 1131, 2503, 602, 519, 11007, 4994, 610, 12802, 4994, 1871, 585, 1434, 1239, 1131, 581, 1114, 269, 1280, 1383, 267, 609, 3501, 15971, 630, 7224, 15971, 6959, 693, 782, 264, 540, 1480, 267, 32315, 345, 2465, 267, 27580, 8759, 543, 610, 836, 27175, 594, 1131, 2503, 16275, 2418, 2673, 547, 476, 272, 269, 1809, 585, 3501, 15971, 540, 540, 519, 1482, 5027, 3148, 689, 25850, 267, 13855, 267, 2892, 600, 6387, 267, 3165, 267, 5521, 267, 519, 1655, 1871, 4397, 1522, 581, 6251, 547, 1547, 277, 610, 865, 269, 1656, 621, 1522, 581, 1114, 952, 649, 723, 476, 1015, 4922, 3309, 5439, 689, 1142, 11248, 982, 952, 649, 723, 1175, 835, 540, 1142, 630, 1015, 11864, 267, 476, 1015, 20883, 3092, 1916, 2690, 1034, 29981, 5717, 594, 1294, 1934, 538, 3194, 294, 622, 543, 1082, 824, 4025, 267, 519, 1445, 568, 593, 519, 3631, 543, 2409, 540, 2079, 269, 1809, 538, 1250, 1995, 267, 13542, 609, 29981, 16646, 4758, 7543, 2164, 568, 9247, 2141, 1813, 547, 2042, 538, 519, 1239, 267, 2864, 982, 2042, 538, 519, 2203, 610, 1505, 269, 6153, 1239, 786, 1711, 513, 10257, 3529, 609, 1022, 1505, 267, 855, 621, 568, 31029, 569, 2653, 547, 2097, 909, 609, 513, 3983, 1239, 1305, 585, 1383, 1813, 547, 3765, 534, 2254, 566, 540, 6090, 610, 7103, 538, 2637, 289, 1678, 269, 1656, 1256, 609, 834, 704, 2739, 1239, 257, 972, 666, 581, 2042, 609, 25294, 540, 4756, 4609, 952, 649, 585, 1383, 5635, 9696, 689, 782, 21378, 643, 21905, 267, 610, 5027, 29920, 689, 4551, 267, 2371, 267, 2831, 267, 13271, 563, 3383, 267, 952, 596, 917, 540, 1434, 2689, 4930, 8720, 713, 1888, 267, 610, 596, 917, 540, 3301, 602, 568, 3730, 585, 10992, 2789, 5311, 5447, 906, 585, 1585, 2010, 540, 2298, 267, 5225, 2022, 873, 1934, 538, 519, 4267, 563, 2704, 328, 294, 4629, 10976, 292, 1107, 14839, 540, 26945, 5311, 27754, 1369, 2789, 5311, 5447, 906, 543, 7020, 540, 1102, 3836, 7936, 1489, 454, 268, 24497, 328, 23006, 5455, 611, 1506, 599, 3773, 606, 2626, 281, 6701, 2030, 8290, 11763, 547, 2831, 888, 303, 1506, 339, 648, 334, 8290, 616, 1373, 6444, 519, 7786, 543, 2111, 547, 9062, 538, 7786 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6092, 5149, 281, 4197, 519, 4563, 14195, 692, 22706, 5426, 281, 5664, 3427, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 29804, 12151, 8119, 4107, 1004, 12314, 713, 2262, 609, 519, 13249, 21393, 540, 3670, 2929, 6014, 1004, 1282, 2622, 2782, 4083, 269, 1717, 267, 972, 729, 1776, 14042, 2680, 1634, 607, 519, 834, 14937, 14195, 2437, 799, 3576, 1747, 936, 1896, 5553, 543, 8507, 538, 796, 19960, 514, 762, 7092, 543, 2530, 585, 6634, 540, 3979, 1004, 269, 901, 1576, 1770, 6663, 547, 1683, 2143, 1344, 593, 713, 2565, 3140, 1974, 1247, 1818, 621, 11541, 543, 24669, 585, 1762, 6267, 899, 596, 780, 4089, 476, 272, 281, 1548, 12984, 519, 4563, 14195, 888, 763, 4563, 14195, 4016, 547, 519, 7142, 9194, 267, 17760, 29713, 267, 15746, 267, 543, 22266, 2126, 540, 1472, 12964, 2929, 3979, 2367, 267, 2021, 267, 543, 1453, 1063, 519, 476, 1428, 628, 543, 476, 866, 628, 5553, 269, 898, 3459, 950, 3864, 2477, 3323, 9467, 3979, 10437, 2066, 519, 9533, 7909, 267, 3056, 547, 835, 540, 519, 4102, 7142, 4955, 5928, 538, 1686, 269, 1452, 2043, 941, 3144, 1996, 741, 786, 547, 960, 5097, 593, 24914, 538, 3013, 543, 824, 2694, 540, 519, 17113, 269, 3509, 20338, 5747, 1354, 8757, 741, 18353, 1813, 547, 10792, 2175, 20829, 9635, 267, 5219, 547, 607, 1412, 1492, 5664, 10426, 720, 9538, 692, 4089, 476, 273, 281, 5020, 4438, 3416, 331, 29713, 454, 20228, 2314, 28815, 1394, 12577, 4074, 267, 2168, 6057, 267, 543, 9668, 689, 741, 3885, 269, 1358, 5185, 3875, 2591, 3232, 855, 7307, 547, 2226, 4296, 547, 741, 6561, 998, 2575, 267, 7544, 267, 12563, 2145, 525, 267, 543, 3909, 2853, 269, 32013, 2950, 2919, 1585, 2081, 547, 5706, 543, 11883, 609, 741, 6381, 267, 1519, 26453, 582, 1645, 4247, 267, 23646, 1524, 2504, 267, 29400, 267, 543, 6450, 2454, 269, 2368, 1256, 10692, 585, 5191, 7258, 3703, 4229, 1282, 519, 21829, 2782, 543, 2663, 8179, 31414, 3842, 3656, 1797, 780, 4089, 476, 274, 281, 661, 2006, 322, 11692, 543, 2991, 4118, 454, 292, 2006, 322, 11692, 3357, 7930, 2429, 519, 17113, 269, 8478, 2968, 519, 2063, 2197, 547, 13373, 880, 8474, 538, 476, 6642, 279, 282, 2705, 267, 5449, 10437, 1419, 1336, 2933, 6849, 1007, 3029, 540, 14226, 543, 7130, 1310, 11543, 5191, 269, 4813, 518, 10553, 5411, 1031, 4031, 1572, 834, 297, 574, 18844, 257, 538, 519, 2136, 2276, 547, 5302, 26021, 543, 5806, 3729, 1996, 9241, 15685, 3979, 4892, 269, 4634, 2221, 267, 2152, 4478, 7292, 8635, 3136, 547, 1860, 2486, 25340, 780, 6962, 912, 8139, 519, 1764, 540, 519, 4563, 14195, 2337, 8774, 1769, 593, 5571, 9620, 585, 7862, 5001, 269, 1635, 1565, 827, 938, 7104, 2250, 267, 649, 666, 1732, 5660, 519, 24279, 1500, 676, 1346, 945, 5030, 998, 891, 4101, 2053, 543, 11441, 2509, 2870, 513, 811, 1175, 2104, 269, 1306, 15609, 19664, 537, 2899, 1767, 267, 834, 14532, 267, 5103, 922, 530, 3402, 532, 1928, 267, 3112, 581, 796, 331, 1882, 267, 855, 952, 5185, 609, 10100, 267, 991, 711, 581, 5030, 1586, 1701, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14937, 14195, 585, 30488, 910, 630, 2690, 30488, 630, 2690, 30488, 4297, 676, 590, 661, 18722, 630, 26261, 3724, 994, 10831, 540, 9664, 281, 476, 7277, 7049, 516, 281, 4317, 3163, 8138, 268, 7049, 516, 281, 26913, 306, 7685, 7170, 281, 1280, 30488, 630, 2690, 30488, 264, 26705, 281, 28980, 21812, 281, 1280, 30488, 21848, 16186, 281, 16989, 12041, 281, 590, 661, 18722, 23458, 281, 2296, 3883, 14271, 18462, 12484, 1302, 4896, 267, 9170, 6487, 602, 3670, 2929, 6014, 1480, 7919, 941, 7166, 538, 519, 6014, 14195, 269, 1809, 875, 1082, 3979, 1480, 7919, 941, 7166, 538, 519, 4563, 14195, 910, 689, 519, 1376, 540, 519, 3864, 10553, 4123, 630, 322, 269, 476, 5611, 271, 264, 547, 519, 6406, 2782, 630, 5908, 276, 21663, 1656, 875, 1082, 941, 20665, 286, 634, 4563, 14195, 267, 513, 911, 4034, 344, 602, 7166, 6634, 540, 3979, 1480, 7919, 267, 568, 519, 1034, 896, 516, 19959, 2101, 2680, 538, 1158, 1686, 269, 589, 2101, 2804, 2680, 585, 2342, 543, 5607, 267, 513, 2282, 14603, 2680, 585, 4000, 267, 519, 25761, 2680, 538, 519, 1686, 540, 1169, 3979, 1977, 910, 952, 711, 1169, 1977, 256, 910, 543, 1034, 540, 721, 3112, 2626, 519, 14724, 2243, 827, 621, 269, 3371, 568, 513, 3732, 540, 1018, 596, 786, 1205, 689, 519, 1928, 560, 752, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1262, 16215, 281, 9861, 513, 21988, 10055, 15440, 4373, 265, 7072, 17041, 5620, 596, 2479, 9289, 945, 2306, 2386, 602, 707, 5172, 4213, 616, 4881, 12347, 286, 2290, 1271, 1909, 538, 1022, 3811, 1870, 568, 606, 2272, 9614, 256, 1323, 2272, 9614, 1568, 5702, 609, 5561, 547, 2327, 789, 616, 6126, 609, 519, 2472, 610, 2533, 789, 4309, 269, 1358, 849, 948, 4194, 2042, 602, 949, 8451, 543, 2097, 909, 609, 1007, 2081, 547, 1832, 741, 7218, 13854, 269, 4653, 649, 786, 2263, 1018, 621, 3217, 547, 1831, 513, 3811, 2272, 9614, 899, 1635, 1258, 693, 11162, 5295, 19137, 780, 1262, 4089, 476, 272, 281, 1548, 1281, 606, 2272, 9614, 798, 286, 12533, 2304, 2272, 9614, 6411, 607, 513, 561, 807, 2581, 1063, 513, 2754, 543, 922, 7218, 269, 4256, 1292, 3804, 568, 547, 1628, 2178, 3347, 609, 5561, 676, 1620, 741, 2115, 543, 4180, 1346, 2115, 616, 1558, 269, 901, 3322, 2834, 2792, 998, 15737, 267, 6049, 7125, 267, 543, 11401, 269, 3958, 267, 2272, 9946, 1419, 12840, 609, 1585, 6887, 1369, 741, 3919, 971, 607, 6455, 267, 6075, 3028, 267, 543, 1587, 1646, 547, 2232, 7817, 4145, 3927, 780, 5331, 1373, 3743, 585, 4509, 3347, 609, 782, 519, 3506, 538, 707, 4884, 865, 789, 3136, 1210, 513, 1880, 1565, 3760, 269, 1306, 606, 2272, 9614, 267, 596, 1131, 960, 2182, 547, 1174, 1142, 1153, 781, 2189, 4170, 543, 2671, 713, 1344, 609, 4143, 6887, 1369, 707, 2754, 269, 1411, 1522, 1256, 10891, 2866, 7886, 585, 3610, 610, 3984, 2621, 547, 13686, 1007, 2934, 2439, 1262, 4089, 476, 273, 281, 10341, 2877, 585, 1967, 12533, 6826, 5765, 513, 1390, 2272, 9614, 3340, 1896, 1898, 1983, 1384, 320, 264, 9442, 281, 13068, 543, 28450, 2792, 2337, 1628, 3972, 609, 7218, 269, 15765, 6947, 5849, 602, 1312, 6105, 1745, 4862, 543, 6956, 563, 321, 264, 9046, 14572, 281, 17291, 1761, 2152, 2038, 593, 543, 3981, 532, 14942, 3435, 9727, 7029, 543, 10727, 563, 322, 264, 9257, 281, 4236, 31227, 2789, 6589, 543, 21852, 8195, 7569, 5140, 942, 2359, 543, 4058, 5759, 563, 323, 264, 27065, 281, 15531, 5499, 2081, 547, 2743, 6075, 6788, 5036, 3811, 2272, 9946, 6306, 689, 1866, 563, 324, 264, 12243, 1740, 281, 11622, 908, 3927, 609, 1114, 13623, 8309, 3648, 547, 2949, 7817, 9547, 780, 13914, 827, 875, 891, 1983, 4019, 547, 4948, 3871, 269, 1280, 1383, 267, 950, 12180, 513, 1920, 16314, 267, 1434, 2792, 5849, 3025, 6487, 519, 1544, 267, 1966, 6061, 5543, 1407, 6397, 2591, 267, 543, 16542, 4991, 3388, 2944, 811, 7561, 780, 1262, 4089, 476, 274, 281, 11202, 3118, 547, 4742, 606, 2272, 9614, 12533, 4407, 972, 3884, 1405, 835, 1808, 2619, 2509, 2272, 2359, 267, 1082, 4648, 3180, 5232, 538, 4610, 899, 6355, 10029, 267, 16373, 267, 610, 18058, 269, 717, 8724, 1995, 538, 2127, 971, 607, 6455, 267, 6075, 1489, 267, 610, 1788, 2359, 2488, 3407, 4030, 883, 5883, 7817, 1894, 780, 12024, 938, 3659, 1635, 1258, 267, 2348, 12242, 5232, 538, 6355, 10029, 543, 20963, 8551, 2636, 1864, 547, 3142, 5876, 543, 7580, 3206, 1927, 1107, 1818, 1864, 1134, 9280, 547, 4383, 1950, 3785, 543, 1020, 4195, 6725, 2994, 780, 1262, 6962, 26279, 28398, 2359, 3091, 14785, 3255, 547, 1921, 609, 1004, 1247, 6117, 1870, 2208, 269, 8490, 9434, 3347, 1759, 593, 8994, 2463, 543, 5698, 5012, 547, 2799, 6075, 14017, 543, 1279, 3856, 1967, 269, 1924, 1985, 942, 596, 4497, 609, 4213, 267, 3314, 519, 4105, 1909, 5129, 676, 6131, 2272, 9946, 899, 1635, 1258, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3528, 1258, 5713, 607, 519, 5741, 15440, 267, 18058, 543, 16373, 693, 11162, 5295, 19137, 630, 290, 5183, 1070, 13327, 4370, 519, 11056, 540, 6725, 11044, 267, 1788, 11558, 267, 543, 29449, 2359, 585, 595, 5183, 779, 3292, 269, 589, 1164, 27780, 716, 6205, 609, 513, 4396, 5748, 538, 1788, 2359, 267, 6725, 267, 2029, 267, 543, 3860, 2504, 267, 1635, 1258, 814, 5216, 1296, 540, 1995, 2324, 585, 674, 28232, 476, 1911, 543, 674, 28232, 476, 4335, 3549, 538, 3309, 6080, 269, 2060, 513, 25328, 540, 3163, 630, 7034, 264, 538, 6355, 10029, 543, 513, 25328, 540, 20963, 8551, 630, 289, 11902, 264, 538, 8535, 689, 13985, 21590, 5441, 538, 9835, 14943, 1749, 267, 24696, 267, 1635, 1258, 24870, 538, 1361, 566, 543, 2500, 1966, 9010, 267, 1141, 646, 666, 1118, 513, 8101, 1764, 563, 5141, 1046, 5713, 607, 519, 20180, 528, 267, 27943, 16457, 693, 11162, 5295, 19137, 269, 18412, 814, 5249, 538, 1857, 3609, 585, 519, 2063, 8717, 543, 538, 1648, 3609, 585, 519, 2063, 3670, 1296, 269, 13405, 547, 11836, 595, 5183, 18412, 729, 10615, 540, 8889, 543, 15613, 585, 519, 4993, 21252, 1341, 24637, 5004, 7027, 630, 290, 3633, 10157, 264, 1141, 646, 5249, 547, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 21436, 9534, 1315, 10055, 5004, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 634, 2185, 18818, 2540, 6825, 513, 1713, 7432, 1448, 538, 3864, 1686, 267, 3226, 538, 519, 3909, 543, 2686, 21384, 269, 901, 1974, 4718, 519, 11944, 540, 1007, 2093, 543, 5322, 602, 1131, 5555, 1291, 547, 519, 9668, 540, 5132, 689, 2528, 267, 5935, 519, 2413, 1158, 538, 7096, 2081, 269, 2290, 971, 3350, 729, 4436, 7793, 6291, 267, 799, 15091, 1367, 17035, 543, 31658, 269, 7324, 922, 1034, 7986, 5515, 729, 2725, 3563, 661, 1188, 28496, 630, 322, 269, 476, 14695, 271, 1700, 15171, 278, 1070, 945, 28020, 10294, 267, 968, 18661, 568, 693, 1753, 269, 898, 568, 649, 945, 723, 8854, 856, 585, 513, 3802, 1848, 769, 1082, 2081, 267, 661, 1188, 28496, 779, 3948, 666, 581, 2938, 607, 30118, 1738, 540, 519, 6626, 10593, 2921, 1747, 1282, 713, 5736, 1107, 12077, 267, 519, 16795, 15139, 1436, 540, 3909, 6392, 543, 519, 3395, 8561, 593, 2123, 1995, 543, 4082, 780, 4263, 1472, 519, 1482, 942, 267, 7977, 14754, 519, 4332, 540, 31546, 15066, 3332, 267, 609, 4589, 899, 667, 14397, 1325, 662, 1512, 328, 630, 14695, 276, 1700, 15171, 272, 264, 6721, 1568, 602, 1131, 1831, 13654, 5931, 540, 5375, 10340, 269, 667, 14397, 779, 23942, 1290, 9037, 267, 2854, 1063, 476, 9873, 279, 543, 476, 15171, 272, 267, 6763, 856, 607, 1312, 513, 5339, 20100, 543, 513, 3532, 8086, 540, 4207, 4145, 827, 13919, 267, 6214, 267, 543, 4984, 269, 1635, 2198, 908, 1010, 16502, 1369, 606, 16545, 7122, 20651, 676, 3140, 5515, 543, 14336, 5566, 3197, 267, 667, 14397, 3927, 2813, 513, 2230, 1141, 646, 1223, 2263, 1950, 2055, 3823, 519, 1480, 2783, 543, 938, 2078, 609, 519, 10143, 780, 1607, 2796, 568, 2629, 950, 6313, 1808, 2621, 543, 7835, 538, 2185, 18818, 10601, 2342, 267, 1519, 1346, 602, 3576, 1747, 6251, 547, 1753, 585, 721, 267, 538, 4279, 6628, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 7377, 3634, 519, 2338, 563, 11133, 1499, 815, 1496, 343, 585, 1535, 538, 2039, 263, 272, 267, 476, 7906, 264, 6540, 454, 258, 865, 2484, 519, 1655, 543, 20125, 1259, 547, 2638, 6305, 1297, 912, 258, 4179, 2517, 4178, 6745, 583, 3645, 22017, 3118, 3820, 270, 7090, 3491, 13559, 3562, 1922, 785, 17376, 830, 5991, 3784, 13045, 3698, 568, 318, 18905, 16325, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 630, 11133, 12262, 476, 273, 1341, 476, 272, 15892, 1038, 952, 1003, 4939, 1775, 2652, 476, 271, 912, 2018, 1293, 6834, 476, 272, 454, 2018, 2736, 454, 825, 952, 1293, 2652, 476, 271, 543, 1003, 11203, 272, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 2891, 24314, 1592, 540, 2338, 281, 5602, 825, 1820, 3799, 13246, 994, 825, 1948, 6882, 3217, 538, 519, 1599, 543, 12055, 1963, 281, 24042, 267, 1305, 267, 1592, 607, 7440, 563, 825, 1948, 519, 1101, 4661, 1152, 3340, 547, 1780, 538, 519, 1599, 2012, 1510, 519, 630, 1916, 825, 1948, 519, 1101, 4661, 568, 513, 1599, 602, 1281, 519, 6268, 540, 6936, 610, 8771, 563, 825, 1948, 6882, 263, 529, 318, 18905, 267, 2338, 264, 568, 519, 1482, 607, 2630, 912, 825, 1948, 585, 1003, 538, 2338, 912, 825, 1948, 567, 952, 568, 318, 18905, 16325, 2187, 825, 1948, 11434, 6305, 318, 21671, 5332, 13246, 6910, 16325, 994, 825, 6305, 318, 21671, 5332, 13246, 815, 6882, 263, 529, 318, 18905, 267, 2338, 994, 825, 1820, 2891, 28269, 2338, 1336, 1369, 519, 3312, 1592, 281, 5602, 825, 1820, 8443, 18905, 20311, 585, 6305, 20311, 538, 6305, 318, 21671, 5332, 13246, 7481, 825, 23288, 763, 2164, 912, 24314, 1592, 540, 2338, 912, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 267, 476, 2412, 267, 476, 6078, 267, 476, 5655, 267, 476, 6246, 267, 476, 4510, 267, 476, 3393, 267, 476, 5379, 267, 476, 5325, 267, 476, 4366, 267, 476, 5392, 267, 476, 2004, 2639, 28269, 2338, 1336, 1369, 519, 3312, 1592, 912, 314, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 267, 476, 4029, 267, 476, 4391, 267, 476, 6078, 267, 476, 6246, 267, 476, 5325, 2639, 825, 15981, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 5814, 7510, 16379, 454, 5228, 30220, 1104, 30220, 454, 5228, 30220, 1104, 31764, 12265, 454, 5228, 4351, 1104, 28219, 9792, 454, 3698, 1205, 1805, 8692, 10031, 825, 28219, 14630, 815, 4351, 5091, 622, 4590, 825, 13371, 14630, 815, 28219, 14630, 269, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 5602, 825, 29250, 815, 1412, 10674, 2517, 323, 559, 6975, 2593, 23995, 8692, 270, 262, 1341, 13371, 14630, 454, 825, 2132, 29250, 692, 3698, 4351, 5091, 622, 10031, 825, 8173, 825, 901, 1599, 786, 2132, 513, 4351, 30220, 1063, 1079, 30220, 3097, 825, 3615, 563, 825, 8173, 825, 1376, 815, 30220, 269, 1598, 696, 830, 3488, 2735, 280, 268, 6860, 268, 1626, 3299, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 5073, 825, 1439, 815, 30220, 269, 852, 4590, 825, 18232, 815, 1439, 910, 1376, 454, 825, 703, 5091, 12265, 815, 630, 23169, 6155, 904, 2608, 476, 2190, 2608, 476, 2568, 2608, 476, 2568, 264, 1341, 18232, 269, 572, 6948, 454, 825, 4351, 318, 16149, 815, 28219, 9792, 17301, 5091, 12265, 994, 825, 2132, 1376, 1341, 31764, 12265, 263, 572, 6948, 284, 12690, 318, 16149, 2020, 3698, 1292, 3890, 1384, 567, 533, 815, 1205, 1805, 8692, 4590, 567, 1820, 533, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 5035, 31287, 10031, 825, 15981, 12218, 18257, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 7329, 267, 2012, 267, 4087, 16182, 2187, 1038, 1582, 269, 573, 815, 7329, 454, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 7456, 6327, 16182, 815, 4087, 16182, 692, 2908, 318, 655, 1943, 2465, 815, 31287, 263, 272, 267, 834, 32178, 2580, 476, 273, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 343, 815, 476, 280, 454, 344, 815, 476, 273, 454, 2745, 3287, 1262, 344, 264, 1948, 476, 10037, 454, 2745, 3287, 30819, 264, 1948, 476, 275, 269, 276, 454, 2745, 3287, 2260, 344, 264, 1948, 476, 275, 692, 2745, 3287, 543, 586, 264, 1948, 476, 273, 454, 2745, 3287, 610, 586, 264, 1948, 476, 280, 454, 2745, 263, 2254, 1535, 264, 1948, 8771, 692, 345, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 2745, 3287, 538, 1990, 264, 1948, 8771, 454, 2745, 3287, 711, 538, 1990, 264, 1948, 6936, 454, 2745, 12169, 538, 1990, 264, 1948, 6936, 454, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 27868, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 27868, 316, 13127, 363, 375, 19867, 378, 19404, 491, 14035, 491, 12255, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11721, 785, 7308, 268, 706, 12393, 5991, 3784, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 4792, 269, 8064, 260, 994, 258, 700, 10105, 281, 825, 476, 279, 1428, 454, 258, 2598, 331, 10105, 281, 476, 271, 454, 258, 11192, 20504, 539, 281, 825, 476, 3445, 269, 274, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 15389, 269, 274, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 314, 272, 267, 274, 267, 275, 267, 273, 267, 273, 316, 7055, 16482, 258, 476, 14756, 503, 27936, 22047, 25060, 483, 12571, 360, 1109, 333, 1341, 476, 272, 476, 14748, 10533, 368, 12255, 7511, 12255, 14756, 482, 1109, 333, 4548, 8147, 10429, 370, 12255, 21211, 421, 25693, 21928, 476, 272, 476, 28996, 562, 1109, 18263, 489, 25426, 368, 27818, 25060, 483, 418, 489, 361, 476, 272, 13127, 23687, 454, 258, 562, 24724, 8147, 23746, 419, 509, 354, 420, 485, 367, 16533, 495, 11858, 502, 21928, 22047, 19404, 491, 14035, 491, 7511, 10533, 368, 12255, 12486, 417, 479, 485, 18777, 378, 9463, 359, 20069, 22047, 19404, 491, 14035, 491, 7511, 10533, 368, 12255, 8147, 19867, 378, 24731, 30244, 14748, 19404, 491, 14035, 491, 7511, 12255, 25707, 16482, 258, 22614, 353, 374, 28032, 489, 476, 272, 912, 16482, 258, 476, 27447, 24662, 281, 1496, 272, 267, 274, 267, 275, 267, 273, 267, 273, 2639, 258, 476, 27447, 24731, 281, 476, 273, 454, 16482, 16482, 258, 22614, 353, 374, 28032, 489, 476, 273, 912, 16482, 258, 476, 27447, 24662, 281, 1496, 274, 267, 272, 267, 274, 267, 275, 267, 273, 2639, 258, 476, 27447, 24731, 281, 476, 274, 454, 16482, 16482, 258, 476, 13644, 368, 13107, 492, 16088, 454, 16482, 16482, 258, 476, 21251, 420, 25693, 418, 505, 368, 418, 498, 373, 31308, 509, 12255, 14756, 482, 27818, 417, 479, 485, 18777, 378, 12255, 14756, 482, 15159, 9463, 359, 13644, 375, 7511, 24724, 25707, 258, 476, 9463, 359, 420, 25693, 12916, 379, 17958, 30903, 507, 14035, 500, 7511, 744, 263, 272, 264, 476, 7511, 419, 358, 374, 25426, 368, 25707, 258, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 16533, 493, 30678, 744, 3799, 317, 273, 264, 476, 25707, 258, 476, 12255, 14756, 482, 18809, 9463, 359, 20069, 22047, 19404, 491, 14035, 491, 7511, 12255, 21211, 8147, 12916, 484, 14395, 481, 23746, 420, 25693, 21251, 27882, 351, 19404, 491, 14035, 491, 24731, 27064, 364, 13601, 418, 361, 350, 25707, 16482, 16482, 258, 692, 258, 7711, 331, 322, 3009, 284, 11034, 7531, 5035, 8827, 912, 825, 1948, 476, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 825, 1948, 1219, 1265, 291, 340, 12393, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 825, 1948, 672, 1948, 1293, 5157, 316, 23989, 419, 353, 374, 16533, 493, 30678, 419, 511, 487, 30678, 328, 7511, 30317, 27381, 510, 14748, 12255, 8147, 31284, 21550, 485, 23746, 419, 506, 489, 20992, 26406, 496, 417, 354, 377, 31365, 7511, 12255, 14756, 482, 454, 825, 1948, 672, 2451, 815, 476, 272, 454, 825, 1948, 672, 1318, 815, 7003, 25225, 9984, 272, 454, 825, 1948, 672, 759, 815, 476, 271, 454, 825, 1948, 672, 1247, 2451, 10922, 1318, 912, 825, 1948, 1363, 4571, 815, 630, 3847, 266, 2431, 264, 2260, 273, 454, 825, 1948, 1363, 1293, 815, 476, 271, 454, 825, 1948, 1363, 585, 1003, 538, 15358, 912, 825, 1948, 17264, 1293, 6834, 630, 11133, 10922, 4571, 994, 825, 1948, 1363, 952, 1293, 3436, 4571, 912, 825, 1948, 17264, 759, 815, 4571, 454, 825, 1948, 17264, 1318, 815, 4571, 268, 272, 454, 825, 1948, 1363, 3116, 912, 825, 1948, 17264, 2451, 815, 4571, 266, 272, 692, 825, 1948, 672, 2132, 759, 692, 825, 1948, 13127, 379, 360, 418, 483, 351, 418, 490, 485, 421, 496, 486, 454, 825, 1219, 1265, 291, 340, 12393, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 3500, 815, 476, 271, 454, 1038, 3728, 815, 476, 271, 454, 1038, 1948, 3500, 420, 369, 364, 13601, 27882, 354, 8147, 9724, 420, 369, 364, 4970, 353, 27882, 354, 8147, 21588, 361, 13601, 418, 361, 350, 25203, 372, 421, 479, 485, 454, 1038, 3500, 815, 15358, 314, 338, 869, 2639, 1038, 3728, 815, 15358, 19559, 4548, 314, 9724, 27663, 1038, 1247, 3500, 11203, 3728, 912, 2018, 3500, 815, 15358, 314, 338, 869, 2639, 2018, 3728, 815, 15358, 19559, 4548, 314, 9724, 316, 6540, 1038, 1948, 17276, 365, 480, 27064, 363, 7511, 24662, 9463, 352, 454, 1038, 3500, 815, 476, 271, 454, 1038, 1247, 3500, 11203, 3728, 912, 2018, 3500, 815, 15358, 314, 338, 869, 2639, 2018, 3728, 815, 15358, 314, 9724, 6540, 1038, 2132, 3500, 454, 258, 7711, 331, 322, 3009, 284, 754, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 10619, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 10619, 316, 17276, 494, 506, 27381, 351, 11590, 490, 14756, 368, 419, 509, 358, 421, 502, 369, 454, 16482, 258, 4179, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 14142, 8584, 268, 273, 323, 2173, 520, 3700, 7933, 525, 5524, 13045, 16482, 258, 6620, 454, 258, 23839, 630, 4375, 269, 6858, 260, 994, 258, 700, 10105, 281, 825, 476, 29574, 454, 258, 2598, 331, 10105, 281, 476, 271, 454, 258, 11192, 20504, 539, 281, 825, 476, 6507, 269, 274, 298, 454, 258, 11192, 4427, 332, 3827, 281, 476, 3707, 269, 280, 298, 454, 258, 4530, 13826, 7151, 281, 476, 1412, 314, 314, 272, 267, 274, 267, 276, 267, 278, 25662, 1015, 267, 1556, 267, 1626, 267, 736, 25662, 2537, 267, 1789, 267, 4097, 267, 2568, 14963, 315, 333, 274, 7055, 16482, 258, 22614, 376, 500, 19540, 503, 22047, 421, 360, 502, 10533, 486, 7511, 28997, 501, 25622, 23521, 354, 10254, 353, 13161, 511, 1109, 332, 1535, 562, 1109, 419, 509, 358, 421, 502, 369, 18809, 8147, 15159, 12571, 355, 11858, 502, 21928, 22047, 25203, 362, 21550, 485, 29219, 12486, 13644, 354, 419, 509, 358, 421, 502, 369, 10429, 371, 20069, 417, 28187, 31284, 29830, 373, 26233, 356, 16088, 454, 16482, 16482, 258, 17276, 363, 493, 27310, 18809, 7511, 10533, 368, 12255, 10524, 492, 26266, 355, 28996, 9463, 367, 418, 490, 487, 22287, 485, 31365, 26406, 496, 28578, 25707, 258, 17276, 363, 493, 27310, 7511, 21588, 361, 22047, 10533, 368, 12255, 27962, 30678, 31176, 491, 13601, 27310, 7511, 31006, 12571, 492, 22047, 10533, 368, 12255, 25707, 16482, 16482, 16482, 16482, 258, 22614, 353, 374, 28032, 489, 476, 272, 16088, 454, 16482, 16482, 258, 476, 27447, 24662, 16088, 9795, 815, 20886, 272, 267, 274, 267, 276, 267, 278, 25662, 1015, 267, 1556, 267, 1626, 267, 736, 25662, 2537, 267, 1789, 267, 4097, 267, 2568, 316, 3910, 3077 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 769, 519, 7706, 540, 4264, 6189, 267, 519, 5610, 540, 6404, 14025, 5656, 609, 2413, 6703, 814, 7153, 607, 513, 2565, 1858, 540, 1445, 269, 901, 7678, 25186, 2757, 6302, 1063, 1585, 2679, 2010, 267, 5807, 5499, 3435, 602, 2232, 1648, 4398, 267, 3595, 3106, 267, 543, 1570, 5647, 269, 901, 3184, 12538, 883, 519, 16082, 540, 4264, 1374, 4808, 267, 3246, 513, 3102, 7650, 540, 875, 891, 3741, 666, 581, 4294, 538, 2259, 780, 3080, 971, 4161, 6013, 538, 11028, 4290, 532, 3595, 9479, 609, 6404, 14025, 7835, 269, 9605, 3106, 6042, 1419, 4268, 4470, 593, 519, 5003, 3599, 8760, 540, 513, 2679, 282, 4061, 267, 16471, 1114, 3252, 1369, 513, 2582, 2497, 3340, 6297, 7156, 269, 1280, 3236, 267, 10821, 543, 6413, 946, 11721, 659, 1006, 10659, 1419, 1459, 519, 1034, 1950, 1374, 21140, 1813, 547, 22608, 3595, 3009, 4170, 269, 1452, 7965, 8451, 1317, 10506, 28173, 2653, 1569, 585, 6595, 6472, 267, 2550, 267, 543, 5234, 267, 6466, 10821, 4559, 2154, 5094, 19838, 816, 2798, 269, 9182, 267, 9858, 1590, 10880, 513, 10347, 3666, 1063, 4180, 7850, 9668, 9883, 543, 4509, 3608, 10009, 3270, 780, 2414, 7753, 891, 9465, 267, 16413, 949, 2308, 3860, 2994, 971, 607, 9001, 1930, 267, 4837, 25047, 6202, 338, 543, 4837, 1532, 17977, 6173, 2209, 269, 3690, 8001, 11700, 17007, 5512, 2067, 1769, 21774, 267, 4227, 5841, 8654, 7569, 1247, 15386, 11617, 11495, 2934, 602, 3986, 3593, 1995, 269, 5047, 267, 6220, 971, 2609, 8309, 9797, 547, 519, 1788, 781, 2949, 6940, 12773, 1107, 3177, 789, 15666, 547, 2199, 3595, 9479, 543, 2773, 4441, 780, 28723, 2326, 2099, 1776, 4105, 2460, 540, 4264, 1374, 269, 11627, 725, 538, 5374, 543, 6405, 2504, 723, 3366, 547, 519, 1646, 540, 1164, 26024, 8925, 6353, 676, 4389, 2825, 5222, 543, 8476, 15006, 269, 6201, 1331, 1970, 28003, 2848, 1564, 267, 13381, 27960, 538, 6405, 30012, 267, 543, 3209, 13471, 2326, 6508, 689, 7791, 2200, 269, 1635, 28408, 891, 2472, 267, 16413, 7413, 3653, 5108, 267, 18359, 1875, 3146, 2908, 762, 6151, 2326, 267, 543, 2539, 22993, 1648, 2157, 2404, 609, 4070, 2238, 780, 306, 924, 8417, 3788, 513, 2629, 3815, 538, 1821, 2358, 2796, 1302, 3617, 6272, 269, 23889, 3039, 5989, 267, 971, 607, 3543, 730, 22908, 267, 4764, 10651, 267, 543, 19777, 342, 2297, 267, 2337, 4383, 7088, 4248, 20359, 267, 11574, 4683, 3002, 6532, 2360, 267, 543, 3895, 9265, 5726, 269, 3958, 267, 21825, 29466, 5656, 547, 11126, 3859, 10066, 10597, 12809, 8022, 543, 9023, 1761, 267, 7551, 10893, 16126, 593, 7344, 1949, 780, 16966, 2359, 543, 4155, 3118, 1374, 13822, 1898, 3334, 540, 1022, 1804, 8397, 1646, 1788, 269, 7743, 569, 2966, 5397, 1811, 267, 22274, 693, 3617, 11996, 267, 7520, 15774, 3991, 7781, 3350, 1510, 18731, 31355, 3106, 610, 3308, 9029, 269, 5015, 267, 8939, 5078, 13675, 543, 14827, 6753, 6908, 6050, 6808, 2095, 543, 5849, 10220, 609, 9431, 4170, 12044, 6595, 6174, 1569, 780, 1103, 3932, 267, 7598, 4264, 1374, 4808, 538, 6404, 14025, 3785, 3322, 10188, 6946, 954, 680, 904, 1851, 3309, 2188, 267, 1519, 3595, 3106, 267, 1570, 5647, 267, 3135, 4058, 267, 543, 6283, 5989, 269, 1677, 3035, 3811, 4093, 267, 16413, 1590, 2611, 32448, 540, 5969, 12967, 4066, 267, 1655, 2853, 267, 543, 9687, 9431, 10850, 269, 1306, 2486, 5170, 547, 20920, 609, 10296, 2518, 2591, 899, 2916, 1689, 543, 4199, 22930, 267, 8508, 11455, 4485, 547, 11265, 1374, 786, 17216, 1404, 513, 11358, 1909, 538, 5935, 811, 14388, 267, 12581, 267, 543, 25133, 2950, 585, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2304, 1271, 6932, 3390, 568, 5466, 3595, 9479, 607, 1644, 547, 6404, 946, 950, 9256, 5656, 609, 2413, 6703, 269, 9603, 547, 922, 32687, 2470, 609, 824, 2679, 1462, 3098, 621, 666, 849, 948, 547, 1489, 873, 538, 4264, 3435, 8888, 519, 18736, 9744, 547, 1831, 851, 540, 606, 1648, 10451, 3070, 269, 7046, 267, 4837, 25047, 6202, 338, 543, 4837, 1532, 17977, 6173, 2209, 269, 1715, 4359, 1570, 5079, 1312, 538, 5374, 543, 6405, 666, 3565, 547, 519, 2949, 6060, 1247, 3135, 8417, 568, 849, 2629, 269, 28582, 547, 3848, 476, 276, 910, 10003, 3118, 5071, 585, 3606, 1344, 593, 1569, 2359, 543, 5397, 3118, 1374, 267, 19437, 267, 543, 4087, 5542, 269, 1763, 7808, 543, 11233, 946, 11721, 659, 1006, 10659, 3335, 10460, 519, 1034, 2352, 1374, 2591, 1813, 547, 3595, 3009, 2152, 269, 4635, 30120, 543, 2242, 538, 11265, 269, 634, 1303, 27509, 543, 608, 1080, 616, 1360, 1271, 547, 519, 5347, 8647, 540, 519, 9744, 267, 609, 519, 1826, 540, 946, 1586, 8159, 519, 3259, 689, 519, 6679, 543, 13307, 540, 519, 1303, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 20980, 5071, 13832, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 13129, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 5890, 7675, 543, 853, 1681, 23213, 332, 20488, 692, 20756, 972, 256, 1411, 1522, 2907, 917, 602, 6089, 332, 20488, 568, 606, 6909, 1426, 585, 9002, 269, 898, 814, 1175, 519, 1318, 3575, 540, 5567, 602, 3395, 12256, 991, 269, 1809, 1705, 596, 849, 917, 602, 3006, 31908, 5749, 1405, 2141, 2111, 547, 3049, 741, 9002, 2047, 689, 519, 6089, 286, 901, 1223, 581, 1317, 789, 991, 547, 979, 1394, 547, 960, 267, 1616, 2576, 3116, 630, 3697, 546, 6758, 14386, 547, 948, 609, 8023, 267, 610, 3274, 991, 513, 2736, 269, 3143, 19048, 910, 11589, 543, 13936, 6089, 332, 20488, 2501, 547, 519, 15063, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1262, 1432, 568, 11589, 5144, 15140, 5331, 3843, 547, 25837, 26025, 856, 540, 922, 8546, 910, 11589, 5144, 1568, 538, 513, 2147, 1259, 256, 1879, 649, 2161, 1412, 10339, 816, 10086, 621, 1797, 1210, 9543, 2604, 547, 1205, 519, 5144, 13576, 689, 519, 28244, 269, 1703, 616, 1614, 2081, 547, 2769, 5144, 281, 1688, 4082, 267, 8261, 15450, 267, 543, 3167, 15450, 269, 1284, 786, 1445, 593, 891, 2409, 2663, 538, 519, 3184, 780, 1262, 3963, 4558, 6089, 332, 20488, 15140, 1805, 1681, 6829, 5144, 2636, 721, 547, 1683, 938, 2370, 3283, 609, 10475, 6089, 332, 20488, 1256, 952, 649, 3112, 12016, 873, 5612, 269, 6056, 540, 621, 899, 5986, 3063, 6980, 6619, 540, 942, 543, 16171, 873, 585, 2104, 946, 269, 3807, 3002, 909, 519, 13792, 7594, 267, 543, 21350, 10042, 256, 20550, 1676, 568, 6039, 269, 14168, 890, 6470, 267, 3884, 1405, 621, 2496, 3086, 1577, 781, 2263, 1114, 2553, 547, 2769, 543, 9108, 4558, 707, 5277, 4154, 2439, 1262, 21652, 20309, 16001, 265, 3721, 476, 272, 17041, 25169, 3946, 8499, 1354, 4358, 269, 11162, 17349, 6927, 2439, 265, 3721, 476, 273, 17041, 9255, 513, 2973, 8708, 18284, 707, 6089, 269, 5994, 20414, 986, 785, 28979, 538, 513, 12826, 780, 265, 3721, 476, 274, 17041, 2060, 835, 1688, 267, 1106, 513, 595, 3337, 1472, 707, 6089, 269, 2422, 707, 14853, 543, 4994, 9416, 547, 9900, 14771, 519, 5160, 3297, 519, 4158, 1858, 4478, 707, 562, 21451, 630, 732, 7637, 1040, 2608, 3682, 9133, 15846, 8347, 3308, 1944, 513, 12837, 344, 3068, 593, 707, 6089, 543, 1747, 11263, 1141, 519, 5023, 1131, 581, 780, 265, 3721, 476, 275, 17041, 15233, 11931, 267, 24754, 2604, 1247, 5329, 11263, 1869, 269, 22447, 1058, 2095, 2509, 707, 31840, 269, 5213, 1405, 7340, 547, 6467, 5011, 543, 10956, 519, 1184, 585, 519, 824, 6089, 780, 8855, 267, 2259, 2306, 3501, 269, 7435, 4082, 4991, 811, 6899, 936, 942, 267, 543, 4166, 2614, 267, 596, 3513, 1831, 606, 4274, 2439, 1262, 10048, 783, 27124, 16001, 288, 8261, 6802, 13333, 13974, 547, 1688, 4082, 855, 3096, 32137, 3079, 540, 4887, 1379, 269, 15015, 15450, 2097, 609, 1585, 5546, 543, 7306, 540, 1187, 23764, 1572, 1166, 5190, 602, 3514, 5196, 707, 28244, 269, 2991, 11093, 519, 1166, 1052, 7157, 267, 1246, 891, 3268, 1384, 265, 3721, 476, 272, 17041, 8293, 2465, 2763, 519, 6023, 14578, 2394, 519, 5551, 2179, 540, 5144, 8928, 883, 519, 4015, 11480, 269, 5901, 20367, 1063, 1312, 28244, 1169, 1906, 3764, 780, 265, 3721, 476, 273, 17041, 15188, 519, 6394, 5144, 5265, 2899, 2944, 269, 2859, 593, 4859, 4808, 2630, 2439, 1262, 25821, 27124, 16001, 2690, 7928, 3755, 610, 1346, 17596, 547, 2769, 3677, 9424, 3533, 267, 3167, 15450, 616, 2706, 5363, 269, 1452, 3457, 708, 10028, 513, 4816, 781, 2067, 29186, 1782, 4806, 998, 28253, 5468, 269, 15439, 8936, 519, 695, 3658, 547, 1142, 6089, 267, 2490, 593, 519, 3684, 267, 1694, 1394, 267, 6001, 267, 543, 4585, 519, 9059, 4755, 2439, 1262, 1805, 4392, 13832, 16001, 5629, 596, 4312, 4904, 707, 11149, 609, 4190, 11344, 12772, 267, 2327, 1697, 7829, 543, 4859, 1384, 265, 18610, 569, 6829, 5144, 666, 3251, 693, 4055, 2837, 585, 2185, 3108, 269, 1717, 267, 12104, 4733, 610, 19068, 607, 4166, 607, 2009, 563, 265, 1403, 6740, 538, 513, 26806, 1305, 2630, 476, 275, 9180, 630, 4375, 13790, 1070, 5144, 16569, 585, 909, 547, 2947, 2395, 563, 265, 1280, 3476, 11091, 267, 1402, 621, 3330, 519, 29606, 3296, 11196, 1240, 9180, 610, 2539, 2567, 3670, 3275, 538, 513, 2834, 2620, 29606, 610, 12964, 3275, 538, 513, 6131, 2620, 29606, 780, 2414, 555, 1177, 13792, 6089, 332, 20488, 267, 4483, 621, 547, 519, 26806, 16074, 610, 2196, 3636, 1216, 1472, 519, 20177, 8708, 269, 8550, 17196, 610, 14974, 6089, 332, 20488, 607, 621, 30001, 1898, 5567, 543, 5932, 3905, 9634, 602, 6633, 9002, 262, 10347, 28182, 780, 4517, 972, 596, 723, 621, 910, 3388, 596, 2877, 547, 917, 827, 11589, 543, 13936, 6089, 332, 20488, 256, 1635, 1739, 891, 4388, 267, 596, 7668, 3054, 547, 3136, 3246, 3407, 32351, 585, 707, 1126, 1256, 1282, 11112, 610, 4101, 2053, 269, 8414, 8808, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 29261, 949, 1134, 8263, 602, 782, 1072, 4600, 4758, 5796, 593, 20418, 917, 1018, 789, 616, 6158, 827, 282, 8909, 569, 713, 568, 3274, 711, 865, 269, 631, 4548, 616, 1419, 2451, 11821, 543, 18516, 1310, 8391, 20849, 5796, 689, 513, 1297, 540, 2959, 1107, 930, 4636, 569, 18468, 20418, 568, 1945, 602, 1152, 513, 1507, 1297, 540, 2021, 666, 798, 543, 519, 1152, 2626, 568, 547, 7110, 610, 3247, 563, 6524, 594, 1376, 267, 594, 1131, 899, 547, 2161, 972, 616, 930, 5863, 2657, 6250, 6002, 267, 11068, 342, 1161, 543, 24930, 856, 972, 282, 13730, 547, 1489, 543, 1217, 20418, 11299, 269, 2334, 723, 22734, 3573, 2866, 267, 5310, 31903, 676, 20418, 2933, 1107, 855, 875, 1281, 519, 1007, 544, 636, 2995, 945, 789, 616, 267, 950, 693, 1459, 713, 568, 10691, 16798, 888, 6624, 1007, 3237, 616, 14281, 547, 5873, 602, 930, 2657, 6250, 6002, 949, 4309, 1447, 982, 3368, 513, 1554, 779, 6044, 593, 10867, 6484, 269, 769, 1840, 1352, 949, 711, 723, 6089, 325, 539, 1200, 1378, 4816, 267, 5310, 25884, 930, 540, 519, 2042, 1352, 568, 1631, 4397, 547, 4194, 269, 9453, 2417, 2866, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22091, 7675, 543, 853, 1681, 23213, 332, 20488, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 23213, 16567, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 7524, 1158, 540, 5600, 8535, 22230, 766, 267, 4481, 3695 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2013, 454, 825, 3116, 912, 1038, 1775, 815, 1205, 5334, 889, 8161, 6025, 267, 737, 994, 1038, 952, 1775, 2652, 7003, 6025, 314, 273, 316, 2187, 2018, 2132, 512, 454, 1038, 1007, 15220, 10242, 815, 512, 314, 273, 6012, 281, 328, 316, 1341, 1496, 24525, 6025, 314, 273, 6012, 328, 3910, 737, 267, 546, 268, 272, 13580, 1341, 512, 314, 273, 6012, 328, 266, 272, 281, 2639, 1038, 1007, 318, 294, 815, 512, 314, 272, 316, 910, 512, 314, 273, 6012, 328, 6012, 272, 316, 1341, 1007, 15220, 10242, 5157, 6012, 272, 2639, 1038, 1007, 318, 4486, 815, 1007, 15220, 10242, 314, 271, 6012, 271, 2639, 1038, 522, 815, 1496, 2908, 318, 4486, 267, 1007, 318, 294, 267, 1007, 15220, 10242, 2639, 1038, 2132, 556, 25270, 318, 1372, 920, 848, 263, 334, 267, 546, 9239, 258, 5192, 519, 1871, 2404, 609, 513, 1883, 454, 3698, 1205, 6025, 267, 737, 267, 546, 2187, 825, 952, 546, 2652, 476, 272, 912, 1038, 585, 1883, 267, 9041, 267, 1871, 538, 512, 314, 273, 14158, 2018, 952, 737, 2652, 1883, 912, 3546, 2132, 1871, 454, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 1775, 815, 1205, 5334, 889, 8161, 6025, 267, 737, 994, 1038, 2132, 1205, 6025, 314, 273, 6012, 328, 3910, 737, 267, 546, 268, 272, 9239, 3698, 2638, 18425, 19702, 1218, 6025, 267, 546, 2187, 825, 952, 546, 2652, 476, 271, 912, 1038, 7682, 7003, 6025, 264, 2652, 476, 274, 454, 1038, 7682, 512, 314, 272, 316, 2652, 476, 272, 454, 825, 3116, 912, 1038, 1948, 2638, 717, 17032, 2953, 1145, 454, 1038, 1453, 318, 294, 23544, 815, 2040, 8443, 340, 314, 272, 316, 585, 579, 538, 512, 314, 273, 316, 7481, 1038, 7682, 512, 314, 272, 316, 2652, 1453, 318, 294, 23544, 454, 1038, 1948, 2638, 602, 621, 814, 1453, 454, 1038, 7682, 7003, 6025, 314, 273, 8079, 3436, 476, 271, 267, 512, 454, 1038, 1948, 2638, 1883, 2953, 1145, 454, 1038, 585, 1775, 538, 2039, 12759, 6025, 314, 273, 8079, 268, 272, 2187, 2018, 7682, 512, 314, 273, 6012, 328, 6012, 271, 316, 2999, 512, 314, 273, 6012, 328, 266, 272, 6012, 271, 2639, 1038, 7682, 512, 314, 271, 316, 2652, 512, 314, 273, 6012, 271, 6012, 271, 3910, 630, 339, 267, 546, 994, 1038, 1948, 2638, 2450, 2953, 1145, 454, 1038, 1295, 12248, 815, 16733, 6352, 6025, 314, 273, 8079, 910, 476, 272, 264, 1315, 476, 273, 264, 2878, 546, 454, 1038, 3193, 12248, 815, 630, 6352, 6025, 314, 273, 8079, 2608, 476, 273, 264, 2878, 546, 454, 1038, 7682, 1295, 12248, 10922, 512, 314, 272, 316, 10922, 3193, 12248, 267, 630, 339, 267, 1295, 12248, 267, 512, 314, 272, 3910, 3193, 12248, 994, 1038, 585, 579, 538, 512, 314, 273, 14158, 2018, 2638, 18425, 19702, 1218, 26086, 267, 546, 268, 272, 9239, 3698, 1449, 5560, 3704, 267, 1871, 12248, 2187, 825, 1104, 4351, 454, 825, 642, 1023, 815, 1592, 263, 9792, 263, 272, 267, 1871, 12248, 1341, 476, 272, 4917, 825, 4351, 11075, 28984, 263, 10094, 994, 825, 512, 815, 1007, 29728, 5560, 3704, 994, 825, 1820, 1412, 32061, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 512, 815, 1039, 6025, 267, 642, 267, 642, 1262, 273, 267, 3178, 994, 1038, 1820, 512, 314, 272, 2639, 1038, 2638, 18425, 19702, 1218, 6025, 267, 3178, 994, 825, 1820, 1412, 1326, 1154, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 7682, 1205, 6025, 267, 642, 267, 3178, 264, 2652, 642, 1262, 273, 454, 825, 4351, 11075, 28984, 263, 10094, 994, 825, 1820, 1412, 8145, 8221, 7055, 825, 585, 642, 538, 642, 1023, 912, 1038, 512, 815, 4894, 6025, 267, 642, 267, 3178, 994, 1038, 1820, 512, 314, 272, 2639, 1038, 2638, 18425, 19702, 1218, 6025, 267, 3178, 994, 1038, 7682, 1205, 6025, 267, 642, 267, 3178, 264, 568, 7183, 454, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 19523, 454, 258, 1142, 1007, 3758, 786, 581, 538, 513, 1007, 1592, 3330, 6119, 8675, 267, 1883, 547, 519, 8675, 568, 519, 32197, 543, 1871, 568, 519, 1297, 540, 26941, 540, 519, 3758, 1459, 454, 325, 3796, 28121, 8679, 8145, 3437, 293, 3796, 28121, 8679, 12252, 21920, 284, 274, 454, 9492, 323, 28121, 262, 322, 4135, 9166, 262, 22056, 12887, 23437, 9166, 262, 1372, 8541, 12887, 337, 333, 332, 9166, 262, 1066, 877, 262, 10926, 3698, 2626, 263, 12252, 2187, 825, 2962, 284, 9492, 323, 314, 12252, 11468, 12252, 21920, 27663, 825, 952, 2962, 2525, 262, 22056, 12466, 1038, 3758, 11243, 284, 12252, 314, 12252, 21920, 266, 272, 281, 2639, 1038, 952, 3758, 11243, 538, 6119, 912, 27030, 2018, 1948, 1101, 10862, 4422, 547, 6119, 602, 616, 6569, 267, 952, 972, 616, 971, 6119, 1287, 1346, 786, 581, 4904, 1101, 692, 2018, 952, 3758, 11243, 538, 6569, 293, 3796, 912, 3546, 14469, 284, 8145, 3437, 293, 3796, 314, 12803, 11243, 4940, 16647, 4590, 3546, 952, 6569, 293, 3796, 314, 12803, 11243, 316, 2525, 314, 14158, 7386, 1642, 6569, 293, 3796, 314, 12803, 11243, 2639, 3546, 952, 14469, 2525, 271, 912, 7386, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 994, 3546, 3116, 912, 7386, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 11924, 10807, 5073, 27030, 2018, 3116, 912, 3546, 14469, 284, 325, 3796, 314, 12803, 11243, 2639, 3546, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 266, 272, 11924, 10807, 5073, 3546, 6119, 314, 12803, 11243, 316, 23785, 272, 692, 1038, 3116, 912, 2018, 6119, 314, 12803, 11243, 24557, 271, 454, 2018, 3977, 815, 18011, 266, 1412, 266, 12803, 11243, 9239, 825, 8640, 2962, 2525, 262, 1372, 8541, 12466, 1038, 3758, 11243, 284, 12252, 314, 12252, 21920, 266, 272, 281, 2639, 1038, 952, 3758, 11243, 15631, 272, 281, 316, 2525, 10807, 12466, 2018, 1948, 621, 1797, 649, 616, 2838, 547, 18419, 606, 14469, 540, 519, 3758, 454, 2018, 14469, 25507, 31526, 11243, 15631, 274, 281, 6012, 272, 281, 273, 7481, 2018, 3758, 11243, 306, 753, 3725, 9679, 284, 12803, 11243, 11468, 268, 274, 2639, 2018, 952, 3758, 11243, 306, 753, 3725, 9679, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 6572, 263, 516, 9679, 2020, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 338, 677, 263, 516, 2091, 18989, 264, 1948, 713, 1900, 3217, 562, 331, 1758, 942, 543, 8754, 666, 581, 7199, 454, 4449, 454, 2018, 3977, 815, 18011, 268, 1412, 266, 1598, 31526, 11243, 11723, 1038, 3116, 912, 2018, 952, 3758, 11243, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 4940, 6572, 263, 271, 2020, 2018, 3977, 815, 18011, 268, 1412, 266, 1598, 31526, 11243, 4917, 672, 7531, 825, 8640, 2962, 2525, 262, 1066, 877, 12466, 1038, 4971, 284, 12252, 21858, 4590, 1038, 3077, 17572, 11243, 284, 12252, 314, 272, 2639, 1038, 26948, 17572, 11243, 284, 12252, 314, 273, 2639, 1038, 952, 3077, 17572, 11243, 15631, 272, 281, 316, 2525, 10807, 12466, 2018, 1948, 3843, 547, 4894, 513, 14469, 540, 519, 3758, 454, 2018, 14469, 25507, 6025, 13759, 17572, 11243, 15631, 274, 281, 6012, 272, 281, 273, 7481, 2018, 3758, 11243, 306, 753, 3725, 9679, 284, 339, 13759, 17572, 11243, 11468, 268, 274, 2639, 2018, 952, 3758, 11243, 306, 753, 3725, 9679, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 6572, 263, 516, 9679, 2020, 2018, 6569, 293, 3796, 314, 12803, 11243, 306, 753, 3725, 9679, 4940, 338, 677, 263, 516, 2091, 18989, 2020, 1038, 3116, 912, 2018, 952, 3077, 17572, 11243, 711, 538, 6569, 293, 3796, 912, 3546, 6569, 293, 3796, 314, 339, 13759, 17572, 11243, 316, 17342, 2639, 2018, 6569, 293, 3796, 314, 339, 13759, 17572, 11243, 4940, 6572, 263, 271, 2020, 1038, 1948, 32280, 936, 267, 1631, 5137, 15646, 5446, 692, 1038, 952, 26948, 17572, 11243, 538, 6119, 912, 2018, 1948, 1934, 649, 991, 547, 3406, 585, 519, 2547, 1871, 538, 519, 1592, 540, 6119, 692, 2018, 952, 26948, 17572, 11243, 538, 6569, 293, 3796, 912, 3546, 14469, 284, 8145, 3437, 293, 3796, 314, 1066, 3139, 17572, 11243, 4940, 16647, 4590, 3546, 952, 6569, 293, 3796, 314, 1066, 3139, 17572, 11243, 316, 2525, 314, 14158, 7386, 1642, 6569, 293, 3796, 314, 1066, 3139, 17572, 11243, 2639, 3546, 952, 14469, 2525, 271, 912, 7386, 26948, 17572, 20479, 284, 1066, 3139, 17572, 11243, 454, 3546, 3116, 912, 7386, 26948, 17572, 20479, 284, 1066, 3139, 17572, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 11924, 10807, 7055, 27030, 2018, 3116, 912, 3546, 14469, 284, 325, 3796, 314, 1066, 3139, 17572, 11243, 2639, 3546, 26948, 17572, 20479, 815, 630, 1066, 3139, 17572, 11243, 22065, 3488, 266, 1598, 263, 516, 9679, 266, 272, 11924, 10807, 5073, 3546, 6119, 314, 1066, 3139, 17572, 11243, 316, 23785, 272, 692, 1038, 3116, 912, 2018, 6119, 314, 1066, 3139, 17572, 11243, 24557, 271, 454, 2018, 26948, 17572, 20479, 815, 630, 1066, 3139, 17572, 11243, 2020, 1038, 3977, 815, 18011, 337, 1412, 266, 1598, 6025, 13759, 17572, 11243, 11924, 262, 9847, 1412, 266, 1598, 263, 1066, 3139, 17572, 20479, 11723, 825, 1820, 3488, 325, 3796, 955, 285, 1412, 266, 1598, 6600, 3796, 4917, 825, 1820, 3488, 8145, 3437, 293, 3796, 9339, 15010, 1412, 266, 1598, 263, 8145, 3437, 293, 3796, 11723, 825, 2132, 3977, 692, 336, 815, 703, 9272, 14061, 29328, 15405, 258, 6713, 1142, 4971, 454, 1721, 513, 271, 538, 2039, 32429, 2187, 825, 1948, 3367, 519, 1101, 5569, 3954, 7627, 519, 4971, 1826, 454, 825, 4971, 815, 3403, 14061, 29328, 4590, 825, 1948, 3503, 3606, 3009, 547, 1224, 519, 4971, 781, 3758, 2012, 4433, 264, 543, 1184, 519, 4971, 454, 825, 1948, 7179, 519, 3977, 5569, 3617, 547, 519, 4971, 454, 825, 1820, 263, 24987, 263, 12252, 4917, 0, 5814, 14854, 454, 5228, 28184, 5793, 1104, 5048, 7901, 267, 5187, 539, 658, 690, 267, 570, 330, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 6885, 815, 570, 330, 4590, 825, 6885, 269, 5976, 9526, 10797, 825, 14512, 284, 13678, 9482, 658, 690, 269, 2532, 11415, 6025, 1856, 8782, 289, 9500, 1485, 3299, 5401, 8782, 2691, 568, 707, 14512, 286, 5073, 825, 952, 14512, 2652, 1412, 19688, 476, 275, 12466, 1038, 5048, 7901, 20481, 16769, 6025, 1856, 8782, 31917, 17510, 1485, 3299, 5048, 8782, 31917, 17510, 1485, 256, 5073, 825, 3116, 912, 1038, 5048, 7901, 20481, 16769, 6025, 1856, 8782, 31917, 1133, 19689, 1485, 3299, 5048, 8782, 31917, 1133, 19689, 1485, 256, 10807, 0, 5814, 942, 1477, 258, 302, 3403, 3348, 13453, 1583, 905, 17010, 3351, 714, 18372, 533, 15193, 552, 562, 14244, 2205, 326, 3121, 23228, 3698, 1187, 318, 842, 549, 28399, 1820, 9497, 30469, 5451, 642, 32115, 1608, 4788, 522, 694, 340, 594, 10157, 257, 10142, 3698, 1187, 318, 5632, 322, 28399, 5621, 3120, 815, 10581, 9272, 3488, 14707, 924, 647, 320, 16816, 3120, 281, 1412, 17903, 26240, 334, 815, 10581, 9272, 3488, 14707, 924, 694, 340, 623, 525, 334, 281, 1412, 17903, 1267, 5964, 815, 26240, 334, 1315, 630, 5306, 3120, 265, 5306, 3120, 264, 21506, 1820, 3488, 5353, 340, 708, 322, 281, 22207, 1267, 5964, 3418, 952, 1267, 5964, 283, 1626, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 3400, 340, 8633, 262, 10142, 952, 1267, 5964, 13843, 476, 1626, 543, 1267, 5964, 10922, 476, 1626, 269, 4200, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 1178, 340, 4083, 20298, 21506, 952, 1267, 5964, 13843, 476, 1704, 543, 1267, 5964, 10922, 476, 1240, 269, 5392, 6769, 476, 1820, 3488, 289, 320, 1460, 334, 26240, 334, 1178, 340, 594, 262, 10142, 952, 1267, 5964, 13843, 476, 1240, 269, 276, 543, 1267, 5964, 10922, 476, 2190, 269, 4200, 6769, 476, 1820, 3488, 303, 525, 334, 26758, 262, 10142, 952, 1267, 5964, 13843, 476, 1839, 543, 1267, 5964, 10922, 476, 3066, 269, 4200, 6769, 476, 1820, 3488, 303, 525, 334, 26758, 262, 10142, 952, 1267, 5964, 13843, 476, 1789, 543, 1267, 5964, 10922, 476, 4097, 269, 4200, 6769, 476, 1820, 3488, 11917, 525, 573, 1228, 3400, 340, 594, 20298, 21506, 952, 1267, 5964, 13843, 476, 3374, 543, 1267, 5964, 10922, 476, 4375, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2705, 621, 1223, 581, 2182, 547, 798, 3054, 538, 930, 1808, 7653, 602, 786, 581, 513, 6161, 585, 606, 4950, 9498, 269, 0, 258, 589, 2040, 540, 25828, 2338, 692, 4131, 3230, 293, 5332, 2330, 581, 519, 25828, 2338, 269, 594, 1131, 899, 547, 6961, 713, 2731, 30255, 3961, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 3799, 266, 272, 8203, 273, 21702, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 12453, 346, 273, 333, 266, 273, 315, 577, 5366, 476, 272, 2410, 273, 333, 266, 273, 1422, 577, 5366, 476, 273, 2410, 273, 333, 1422, 577, 5366, 562, 3686, 284, 293, 3709, 330, 4153, 32002, 272, 2330, 799, 29776, 547, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 12453, 346, 273, 333, 1422, 577, 5366, 562, 12917, 275, 333, 266, 273, 264, 13157, 293, 3709, 330, 15732, 1692, 666, 594, 6218, 519, 1739, 18304, 547, 1397, 713, 3961, 630, 272, 264, 568, 2953, 2496, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 23533, 317, 273, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 288, 9681, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 23533, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 289, 9681, 11377, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 8987, 272, 8203, 333, 21702, 346, 272, 2410, 346, 273, 333, 1422, 577, 5366, 562, 12917, 273, 333, 266, 272, 264, 13157, 290, 9681, 1892, 26272, 267, 875, 1705, 596, 2097, 2066, 713, 1395, 560, 4592, 640, 286, 1290, 7757, 4924, 476, 275, 267, 476, 1001, 280, 693, 476, 2420, 281, 3066, 692, 8794, 16423, 1090, 585, 891, 18304, 267, 649, 1205, 16977, 2418, 1422, 8218, 9387, 15857, 595, 1422, 13627, 476, 271, 269, 279, 2568, 11025, 267, 1422, 29911, 645, 1422, 13627, 910, 271, 269, 14138, 5392, 267, 1422, 29911, 589, 1422, 13627, 910, 271, 269, 271, 4281, 9032, 1422, 754, 9387, 15857, 3245, 972, 267, 596, 666, 2445, 14170, 540, 3230, 293, 24417, 2330, 547, 6961, 707, 3961, 269, 589, 811, 6405, 1259, 547, 17589, 3169, 7215, 568, 998, 10451, 3252, 269, 16294, 1422, 8218, 9387, 15857, 575, 3287, 264, 815, 1422, 8999, 3709, 333, 284, 271, 23685, 13727, 4153, 2765, 346, 8987, 272, 8203, 333, 7346, 16535, 558, 346, 273, 333, 2410, 333, 12917, 273, 333, 266, 272, 14587, 343, 18898, 1422, 754, 9387, 15857, 799, 596, 666, 1397, 11224, 1422, 8218, 9387, 15857, 575, 3287, 264, 815, 476, 275, 1422, 2765, 3189, 7562, 327, 13064, 272, 32710, 6912, 12757, 348, 270, 273, 264, 7346, 6912, 12757, 3287, 266, 275, 264, 3686, 1422, 754, 9387, 15857, 1403, 649, 5581, 3230, 299, 815, 1535, 1422, 2765, 18097, 2410, 11459, 6525, 607, 519, 11346, 799, 1101, 3217, 519, 12045, 530, 25331, 6745, 3230, 343, 18079, 1287, 12750, 625, 676, 3230, 343, 18079, 649, 1205, 602, 1422, 8218, 9387, 15857, 595, 815, 630, 299, 317, 271, 575, 7565, 272, 1070, 1422, 29911, 645, 815, 630, 299, 317, 272, 575, 7565, 272, 1070, 1422, 29911, 589, 815, 630, 299, 317, 273, 575, 7565, 272, 264, 1422, 754, 9387, 15857, 610, 1422, 8218, 9387, 15857, 595, 815, 476, 275, 1422, 2765, 3189, 7562, 327, 13064, 272, 12917, 272, 270, 273, 264, 7346, 6912, 346, 276, 3686, 267, 1422, 29911, 645, 815, 1422, 2765, 346, 273, 2410, 276, 348, 910, 1422, 2765, 346, 1321, 1422, 7562, 327, 13064, 272, 12917, 272, 270, 273, 20972, 276, 25490, 346, 276, 3686, 267, 1422, 29911, 589, 815, 1422, 2765, 346, 275, 2410, 10219, 12917, 278, 25490, 346, 276, 4153, 7562, 327, 13064, 272, 12917, 272, 270, 273, 264, 910, 476, 1015, 264, 1422, 754, 9387, 265, 10926, 1892, 21220, 13135, 2626, 256, 1215, 1705, 596, 2097, 909, 609, 519, 10451, 3252, 543, 519, 7222, 6806, 1106, 3070, 286, 2052, 596, 15974, 1022, 4199, 585, 713, 286, 1290, 7757, 4924, 476, 275, 267, 476, 1001, 280, 693, 476, 2537, 281, 2412, 454, 1892, 7711, 16031, 2791, 13043, 281, 1403, 596, 2328, 4399, 16535, 558, 346, 273, 333, 2410, 333, 18098, 16535, 558, 346, 273, 333, 2410, 273, 333, 5991, 20954, 1287, 519, 10451, 1599, 1269, 326, 3287, 7751, 568, 519, 28708, 540, 14170, 1269, 320, 5332, 281, 7807, 16535, 558, 346, 273, 333, 2410, 333, 8703, 268, 272, 4151, 543, 1269, 321, 5332, 281, 14352, 273, 333, 266, 272, 264, 13064, 272, 20954, 799, 568, 6697, 547, 519, 1587, 540, 741, 1367, 10451, 3252, 269, 1290, 7757, 4924, 476, 276, 267, 476, 1001, 280, 693, 476, 272, 281, 1704, 454, 1892, 19743, 7711, 16031, 2791, 13043, 267, 5981, 781, 1505, 568, 5310, 519, 1655, 1259, 547, 3605, 519, 10451, 1599, 269, 6884, 267, 596, 666, 1256, 5431, 519, 14170, 547, 581, 2147, 547, 4540, 13177, 20073, 687, 269, 769, 713, 2013, 267, 519, 1269, 320, 5332, 536, 5332, 259, 15217, 814, 2147, 1106, 547, 519, 14170, 538, 519, 13177, 3126, 7269, 540, 4399, 7562, 327, 13064, 272, 12917, 343, 30879, 3245, 972, 267, 596, 666, 4019, 6101, 1379, 3126, 4238, 547, 2119, 543, 543, 6474, 519, 14170, 269, 634, 3044, 4704, 568, 10451, 10818, 1108, 676, 12070, 325, 269, 26304, 781, 2037, 10179, 894, 10395, 13541, 923, 849, 814, 606, 5140, 6881, 593, 10451, 3252, 1315, 6101, 1379, 3126, 269, 1290, 7757, 4924, 476, 276, 267, 476, 1001, 280, 693, 476, 272, 281, 4391, 692, 2690, 519, 7453, 3483, 540, 519, 2243, 267, 649, 798, 711, 991, 3230, 288, 32390, 267, 290, 18079, 855, 930, 5276, 10659, 540, 873, 267, 602, 723, 834, 324, 6470, 2418, 2668, 901, 2626, 4422, 5631, 538, 713, 4287, 780, 5575, 540, 782, 1577, 721, 2328, 519, 2953, 1106, 540, 519, 6935, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 11196, 272, 8203, 333, 3799, 266, 272, 8203, 273, 1422, 2765, 346, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 3686, 2715, 346, 273, 333, 266, 273, 315, 577, 5366, 476, 272, 2410, 273, 333, 266, 273, 1422, 577, 5366, 476, 273, 2410, 273, 333, 1422, 577, 5366, 562, 3686, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 272, 264, 1422, 1547, 2330, 634, 16866, 4528, 540, 621, 568, 3976, 281, 6695, 8999, 3709, 333, 284, 271, 23685, 13727, 348, 11196, 272, 8203, 333, 1422, 2765, 2715, 276, 333, 317, 273, 293, 3709, 330, 15396, 263, 293, 3709, 330, 266, 274, 15396, 274, 293, 3709, 330, 266, 273, 16585, 333, 266, 273, 293, 3709, 330, 266, 273, 15396, 293, 3709, 330, 268, 272, 3686, 2715, 346, 273, 333, 1422, 577, 5366, 562, 4153, 10383, 476, 273, 263, 273, 333, 266, 272, 14587, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 273, 264, 1422, 1547, 2330, 901, 1058, 3180, 585, 782, 3230, 330, 21974, 1924, 1577, 721, 20586, 538, 519, 14009, 540, 30967, 273, 14638, 606, 4082, 5473, 1152, 1079, 25828, 2338, 267, 1250, 3903, 1373, 3230, 293, 17624, 2330, 543, 3230, 293, 3709, 330, 266, 272, 6525, 269, 1284, 8237, 585, 713, 3230, 276, 333, 317, 273, 815, 630, 276, 333, 317, 273, 268, 272, 264, 10954, 10233, 346, 19990, 348, 272, 2330, 543, 1106, 3976, 689, 6695, 10233, 346, 19990, 2410, 272, 4153, 10383, 674, 17624, 266, 293, 3709, 330, 268, 272, 6525, 835, 3230, 293, 3709, 330, 266, 272, 6525, 780, 763, 824, 25828, 2338, 666, 519, 581, 3362, 31085, 2854, 538, 2474, 540, 3230, 293, 17624, 2330, 543, 3230, 293, 3709, 330, 266, 272, 6525, 630, 6748, 1507, 25828, 2338, 607, 11664, 324, 1070, 552, 3052, 269, 3230, 293, 3709, 330, 266, 274, 13157, 273, 293, 3709, 330, 266, 272, 15396, 293, 17624, 18079, 865, 649, 723, 547, 1397, 281, 6695, 8999, 3709, 333, 315, 613, 271, 348, 11196, 272, 8203, 333, 1422, 2765, 2715, 263, 276, 333, 317, 273, 266, 275, 333, 266, 272, 264, 293, 17624, 1341, 630, 276, 333, 266, 274, 264, 293, 3709, 330, 266, 272, 3686, 2715, 346, 273, 333, 1422, 577, 5366, 562, 4153, 10383, 273, 263, 273, 333, 266, 272, 14587, 815, 1422, 10233, 346, 1042, 2410, 293, 3709, 330, 266, 272, 14990, 29911, 263, 274, 264, 1422, 1547, 2330, 1284, 723, 3976, 547, 1397, 602, 519, 14170, 540, 3230, 293, 17624, 267, 293, 3709, 330, 266, 272, 6525, 13939, 689, 519, 4082, 538, 519, 700, 13034, 2529, 269, 616, 3230, 271, 267, 273, 18079, 607, 538, 519, 681, 13034, 2529, 780, 2171, 4625, 2057, 5409, 613, 6248, 18304, 585, 713, 267, 865, 1577, 721, 6368, 1376, 519, 2626, 780, 2171, 946, 519, 711, 725, 3230, 320, 5332, 284, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 4153, 2073, 315, 29911, 536, 5332, 284, 1422, 2765, 562, 3189, 16535, 558, 346, 273, 333, 348, 333, 4153, 2073, 2330, 543, 12337, 3274, 1422, 8218, 25410, 348, 513, 5332, 266, 320, 3709, 333, 266, 272, 348, 17851, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 348, 1422, 3847, 314, 272, 10954, 2765, 476, 272, 3189, 1422, 2765, 18950, 273, 333, 266, 272, 7565, 273, 333, 266, 273, 20972, 333, 266, 272, 7565, 333, 266, 272, 264, 4153, 476, 4153, 2431, 316, 815, 1422, 2765, 2715, 276, 333, 266, 274, 7346, 16535, 558, 346, 273, 333, 348, 333, 1422, 10383, 273, 263, 273, 333, 266, 272, 14587, 1422, 2073, 8607, 536, 5332, 17070, 3709, 333, 266, 272, 348, 17851, 1422, 2765, 476, 272, 3189, 16535, 558, 346, 273, 333, 348, 333, 348, 1422, 3847, 19559, 10954, 2765, 2715, 333, 266, 272, 7346, 1422, 2765, 18950, 273, 333, 266, 272, 7565, 273, 333, 266, 273, 20972, 333, 266, 272, 7565, 333, 266, 272, 264, 4153, 476, 4153, 2431, 316, 815, 1422, 2765, 2715, 276, 333, 317, 273, 266, 275, 333, 266, 272, 7346, 16535, 558, 346, 273, 333, 348, 333, 1422, 10383, 273, 263, 273, 333, 266, 272, 14587, 1422, 2073, 1422, 754, 25410, 348, 543, 1100, 519, 1101, 6935, 2907, 30877, 519, 16263, 585, 519, 11664, 540, 3230, 293, 3709, 330, 266, 272, 6525, 267, 585, 2110, 713, 568, 6695, 8999, 3709, 333, 315, 613, 476, 271, 348, 8987, 272, 8203, 333, 5416, 5332, 266, 320, 3709, 333, 266, 272, 16585, 815, 513, 318, 271, 284, 272, 21974, 1284, 1138, 25630, 569, 946, 519, 2034, 6935, 547, 1294, 602, 519, 11664, 540, 3230, 293, 17624, 2330, 568, 3230, 321, 318, 271, 284, 271, 21974, 667, 821, 780, 11377, 338, 13645, 9681, 2252, 519, 2243, 1202, 1235, 547, 723, 519, 2418, 585, 3230, 288, 32390, 267, 290, 18079, 1287, 1577, 721, 930, 3515, 269, 898, 568, 2614, 547, 1205, 519, 1871, 540, 3230, 288, 29634, 338, 720, 1939, 525, 585, 621, 519, 3169, 1871, 543, 519, 19406, 1384, 338, 720, 281, 15254, 3488, 333, 10807, 3248, 338, 720, 281, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 1315, 630, 273, 265, 333, 266, 272, 1070, 562, 267, 476, 271, 267, 522, 334, 12467, 275, 270, 276, 265, 6912, 263, 276, 12684, 8421, 263, 272, 270, 273, 265, 6912, 263, 276, 264, 1341, 476, 272, 270, 273, 2020, 338, 720, 281, 590, 815, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 16875, 2073, 562, 267, 476, 271, 267, 522, 334, 15426, 333, 4590, 338, 720, 281, 595, 815, 2040, 263, 11196, 272, 8203, 333, 1315, 23481, 263, 273, 265, 333, 267, 562, 264, 1315, 630, 273, 265, 333, 266, 272, 1070, 562, 267, 476, 271, 267, 522, 334, 15426, 333, 10797, 338, 720, 281, 590, 454, 271, 269, 277, 2767, 279, 3607, 275, 2537, 277, 1691, 274, 4200, 454, 338, 720, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18741, 578, 30476, 13242, 676, 8752, 10089, 2125, 281, 476, 278, 17778, 692, 10059, 2517, 4178, 9884, 23943, 2593, 270, 24280, 11860, 559, 578, 30476, 268, 5825, 539, 8386, 6441, 697, 5174, 592, 2125, 454, 13971, 476, 2641, 267, 476, 1001, 280, 1109, 6440, 1215, 547, 12433, 18741, 578, 30476, 13242, 676, 8752, 10089, 2125, 269, 17451, 4898, 875, 1454, 602, 1769, 15941, 568, 28428, 596, 286, 3267, 6480, 1493, 519, 1297, 3108, 519, 15941, 568, 593, 829, 3923, 269, 3267, 1403, 711, 267, 946, 713, 7447, 281, 513, 476, 2568, 26910, 1651, 663, 27853, 15941, 267, 476, 1428, 26910, 595, 14566, 267, 610, 476, 1015, 2560, 12041, 281, 15825, 16065, 692, 2162, 1215, 1454, 1281, 621, 1942, 547, 2196, 513, 476, 1911, 26910, 15941, 910, 12226, 692, 2252, 596, 2196, 513, 476, 1911, 26910, 15941, 585, 476, 1015, 3108, 596, 1131, 476, 272, 4893, 578, 3430, 5662, 630, 330, 2662, 1040, 634, 1942, 540, 5201, 9775, 676, 4087, 2356, 269, 17719, 1256, 814, 513, 23510, 4336, 1759, 593, 519, 6165, 543, 4422, 689, 8096, 269, 5400, 547, 27250, 2162, 1215, 1454, 1281, 621, 1942, 585, 513, 476, 1911, 310, 15941, 547, 2196, 585, 476, 2190, 3108, 27250, 10059, 2517, 4178, 269, 638, 7702, 2593, 270, 1692, 2173, 1276, 1673, 3996, 32717, 21057, 16519, 8584, 268, 1911, 310, 1532, 592, 321, 3562, 24507, 16519, 268, 2190, 3620, 2293, 16519, 268, 1839, 1673, 904, 454, 15037, 476, 4905, 267, 476, 1708, 271, 1109, 6440, 32114, 513, 1483, 476, 1911, 654, 899, 606, 1651, 663, 27853, 476, 13301, 271, 26334, 3108, 829, 1554, 815, 476, 273, 267, 275, 737, 2662, 829, 1554, 476, 273, 269, 275, 737, 2662, 829, 1554, 1535, 476, 1839, 2395, 815, 476, 2568, 737, 2662, 952, 596, 5201, 568, 476, 1015, 21347, 829, 737, 2662, 693, 519, 1970, 1439, 621, 786, 1942, 8096, 277, 1403, 707, 5201, 568, 476, 736, 1298, 829, 737, 2662, 1287, 8096, 1321, 1403, 596, 561, 13718, 2162, 8835, 2593, 281, 476, 1911, 26910, 15620, 692, 10059, 2517, 4178, 269, 600, 7571, 2593, 270, 1911, 2914, 3430, 1532, 592, 2125, 4882, 286, 330, 284, 1911, 266, 342, 3430, 266, 12712, 2125, 454, 288, 866, 29778, 539, 5549, 663, 27853, 681, 965, 6796, 8752, 10089, 321, 267, 476, 1911, 654, 3430, 267, 476, 17734, 271, 298, 9941, 6519, 267, 661, 2918, 23839, 12476, 267, 476, 9083, 271, 700, 636, 839, 267, 476, 9873, 309, 630, 277, 13268, 264, 476, 275, 269, 272, 856, 540, 476, 276, 6801, 476, 6434, 8096, 1015, 269, 4200, 8096, 476, 1015, 1547, 476, 4200, 630, 15478, 272, 269, 10695, 20324, 592, 321, 2020, 2162, 1215, 1454, 1281, 621, 1942, 547, 946, 513, 476, 1911, 26910, 15941, 585, 476, 272, 5662, 27250, 2005, 1131, 1491, 476, 1015, 3108, 585, 513, 476, 1911, 26910, 15941, 547, 946, 513, 4893, 578, 3430, 540, 5201, 269, 4475, 267, 594, 993, 1631, 17548, 519, 6654, 1107, 2201, 513, 3044, 13545, 858, 596, 1131, 2628, 827, 476, 1626, 533, 775, 585, 476, 1015, 3108, 946, 540, 513, 476, 1911, 26910, 15941, 267, 610, 476, 272, 269, 277, 533, 775, 829, 5662, 269, 2107, 609, 519, 14949, 2228, 3928, 596, 1131, 2628, 1472, 476, 1556, 269, 2412, 533, 775, 585, 476, 1015, 3108, 267, 610, 476, 272, 269, 31239, 533, 775, 829, 5662, 692, 2162, 476, 1911, 654, 3430, 5549, 663, 27853, 8752, 10089, 2125, 476, 1911, 271, 31624, 2125, 2593, 692, 10059, 2517, 4178, 269, 1911, 271, 12712, 2125, 2593, 11305, 14394, 270, 1911, 2914, 3430, 268, 20598, 6879, 1901, 2000, 697, 1532, 592, 2125, 454, 303, 21332, 476, 1911, 2914, 3430, 1651, 663, 27853, 15620, 1247, 596, 666, 256, 9208, 8032, 476, 1911, 2914, 3430, 15620, 616, 538, 6006, 543, 4712, 547, 6133, 693, 476, 1911, 271, 31624, 2125, 2593, 780, 2162, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 2560, 692, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 670, 5495, 11965, 15955, 5549, 663, 27853, 8752, 10089, 2125, 15955, 7043, 5020, 589, 1744, 9464, 10089, 2125, 15955, 589, 866, 8752, 10089, 2125, 15955, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 28960, 19851, 6020, 3201, 16998, 32767, 700, 20846, 645, 8085, 289, 476, 276, 267, 1822, 670, 5495, 11965, 1547, 7982, 547, 5903, 269, 8096, 273, 269, 4200, 3267, 476, 1911, 654, 2969, 307, 589, 866, 14727, 4041, 2752, 590, 16810, 6938, 700, 9281, 292, 700, 20846, 645, 8085, 289, 476, 1911, 654, 2969, 307, 5442, 290, 13263, 2464, 290, 7728, 1547, 12313, 966, 2456, 11065, 8681, 281, 10089, 4011, 4821, 692, 2162, 4639, 532, 5264, 31786, 476, 271, 4510, 1911, 271, 267, 476, 1911, 654, 3430, 267, 476, 6344, 5292, 339, 27250, 10059, 2517, 4178, 269, 600, 7571, 2593, 270, 310, 20535, 5264, 268, 271, 4510, 1911, 271, 268, 18823, 663, 27853, 6441, 697, 5174, 592, 321, 268, 1220, 271, 7933, 335, 20324, 1822, 271, 289, 312, 29669, 271, 454, 12914, 476, 4029, 267, 476, 1001, 279, 1109, 6440, 4639, 532, 5264, 31786, 476, 271, 4510, 1911, 271, 267, 476, 1911, 654, 3430, 267, 476, 6344, 5292, 339, 5549, 663, 27853, 19836, 4343, 8752, 10089, 321, 268, 1220, 271, 25980, 267, 476, 272, 13268, 267, 4414, 910, 5549, 663, 27853, 10089, 2125, 910, 8835, 2593, 274, 269, 278, 270, 276, 263, 4366, 2020, 2162, 476, 1015, 13268, 476, 1911, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1911, 271, 700, 636, 839, 476, 1220, 271, 27250, 10059, 2517, 4178, 4318, 321, 599, 2593, 270, 527, 332, 270, 1015, 6261, 871, 268, 1911, 8862, 3430, 268, 18823, 663, 27853, 6441, 697, 5174, 592, 321, 268, 1911, 271, 6441, 636, 839, 268, 1220, 271, 21509, 6953, 2293, 268, 25413, 268, 19669, 268, 270, 18357, 271, 5325, 4792, 277, 12293, 454, 1911, 654, 3430, 476, 4037, 654, 3430, 476, 2568, 654, 3430, 476, 2412, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1220, 271, 5020, 25980, 476, 279, 13268, 269, 8096, 1724, 269, 4200, 269, 5131, 11288, 1547, 476, 1321, 6261, 298, 476, 1911, 654, 3430, 476, 6344, 268, 9873, 309, 21832, 595, 4041, 2752, 5549, 663, 27853, 589, 866, 700, 20846, 645, 8085, 7034, 2405, 12476, 476, 1911, 288, 269, 8096, 3066, 269, 4200, 269, 3267, 19672, 827, 476, 1015, 13268, 476, 1911, 654, 3430, 5549, 663, 27853, 2560, 306, 11839, 28951, 281, 476, 1911, 269, 271, 260, 2318, 692, 2162, 476, 1911, 26910, 1769, 15620, 552, 29074, 692, 10059, 2517, 4178, 4318, 321, 599, 2593, 4882, 577, 270, 328, 11258, 286, 318, 333, 29220, 284, 1911, 260, 736, 342, 3430, 260, 736, 2775, 260, 736, 12712, 2125, 454, 1556, 1587, 16863, 910, 10896, 4303, 2775, 667, 9404, 762, 8752, 10089, 321, 476, 1428, 8862, 3430, 476, 1911, 654, 3430, 4982, 20884, 476, 4335, 271, 330, 1627, 31159, 476, 275, 7665, 29411, 269, 8096, 1015, 269, 4200, 269, 16179, 898, 3767, 269, 5131, 1744, 6235, 269, 476, 272, 267, 25248, 22307, 269, 13772, 269, 3267, 476, 1911, 654, 3430, 476, 4037, 654, 3430, 476, 2568, 654, 3430, 476, 2412, 654, 3430, 5549, 663, 27853, 8752, 10089, 321, 476, 1220, 271, 5020, 25980, 476, 279, 13268, 269, 15952, 1715, 269, 8096, 1724, 269, 4200, 269, 16179, 898, 3767, 269, 5131, 1744, 6235, 269, 476, 277, 5845, 2354, 476, 1911, 654, 3430, 8752, 10089, 2125, 29778, 681, 965, 6796, 700, 10102, 27250, 2162, 1215, 1454, 1648, 1281, 513, 476, 1911, 26910, 1769, 15941, 946, 538, 476, 272, 5662, 27250, 14257, 476, 3066, 267, 476, 1001, 272, 1109, 6440, 1215, 1454, 1648, 1281, 513, 476, 1911, 26910, 1769, 15941, 946, 538, 476, 272, 5662, 286, 18124, 707, 2626, 538, 795, 537, 956, 543, 538, 4893, 578, 3430, 3620, 2293, 269, 4746, 1265, 875, 1454, 2724, 621, 3790, 952, 5201, 23619, 585, 476, 1015, 21347, 829, 737, 310, 3620, 780, 2162, 589, 476, 1911, 8862, 1769, 15941, 568, 2451, 593, 585, 476, 1015, 269, 271, 3108, 269, 3683, 713, 27250, 12914, 476, 2420, 267, 476, 1001, 272, 1109, 6440, 589, 476, 1911, 8862, 1769, 15941, 568, 2451, 593, 585, 476, 1015, 269, 271, 3108, 269, 3683, 713, 1974, 540, 942, 267, 875, 1454, 1648, 729, 1031, 676, 519, 15941, 286, 1648, 729, 1031, 676, 519, 15941, 286, 8382, 16440, 269, 476, 273, 12226, 269, 25684, 269, 546, 784, 12921, 773, 544, 9492, 601, 523, 764, 343, 269, 476, 279, 1296, 3516, 269, 674, 2948, 924, 8382, 269, 3267, 513, 476, 1911, 26910, 15941, 3096, 476, 1911, 795, 537, 956, 829, 2034, 267, 865, 9062, 676, 875, 1082, 7643, 616, 538, 4557, 3108, 1862, 810, 1018, 286, 476, 11740, 876, 808, 6148, 692, 2162, 1215, 1082, 561, 636, 839, 568, 513, 476, 1911, 26910, 10896, 15941, 286, 12226, 7804, 633, 692, 2414, 5372, 513, 476, 1911, 2914, 3430, 1651, 663, 27853, 15941, 267, 1413, 585, 513, 15941, 602, 3947, 596, 827, 476, 8182, 271, 561, 636, 839, 269, 1403, 596, 1616, 1945, 3897, 1067, 267, 979, 585, 1447, 561, 636, 839, 282, 952, 596, 4782, 17321, 1769, 267, 1413, 585, 811, 561, 636, 839, 269, 29799, 513, 476, 4037, 310, 15941, 609, 606, 10896, 15941, 602, 3947, 596, 827, 476, 8099, 271, 561, 636, 839, 269, 3267, 1403, 596, 946, 707, 8279, 585, 476, 1015, 3108, 513, 1554, 267, 713, 1058, 581, 476, 1724, 269, 278, 586, 3464, 269, 275, 269, 274, 270, 276, 263, 274, 2020, 2162, 23817, 476, 1911, 654, 3430, 9978, 8752, 10089, 321, 476, 275, 13268, 23817, 3267, 910, 9546, 27926, 2593, 692, 10059, 2517, 4178, 9884, 531, 27926, 2593, 270, 760, 270, 12283, 268, 1911, 8862, 3430, 5174, 553, 545, 6441, 697, 5174, 592, 321, 268, 275, 6261, 871, 8566, 292, 268, 25148, 4097, 268, 14378, 271, 2000, 18210, 5025, 866, 270, 5611, 13893, 279, 1321, 454, 1607, 476, 275, 1790, 871, 540, 23817, 476, 1911, 654, 3430, 8752, 10089, 2125, 267, 1948, 25148, 4097, 267, 568, 606, 4998, 6099, 8654, 3070, 585, 4948, 946, 538, 2713, 11623, 267, 18226, 11623, 267, 5127, 7741, 543, 824, 2127, 2429, 707, 1753, 269, 1358, 1142, 723, 606, 3977, 540, 476, 272, 267, 278, 1015, 561, 636, 839, 609, 909, 547, 476, 16020, 3108, 540, 1272, 269, 1452, 2596, 589, 866, 23817, 1769, 12712, 2125, 616, 513, 3044, 3337, 609, 17684, 2987, 8142, 532, 593, 519, 3490, 269, 274, 269, 278, 270, 276, 263, 1015, 2020, 2162, 589, 476, 1911, 26910, 3167, 15941, 568, 1769, 539, 585, 476, 273, 3108, 3232, 543, 27250, 10059, 2517, 28090, 569, 23357, 270, 23896, 270, 14056, 4817, 272, 280, 454, 13356, 476, 4962, 267, 476, 1001, 278, 1109, 6440, 589, 476, 1911, 26910, 3167, 15941, 568, 1769, 539, 585, 476, 273, 3108, 3232, 543, 2185, 476, 2412, 26910, 15620, 616, 1769, 539, 585, 476, 275, 3108, 4948, 5861, 531, 1529, 622, 519, 1648, 10057, 17347, 3369, 264, 514, 476, 1789, 2395, 2496, 2162, 5164, 2320, 697, 476, 1911, 654, 3430, 4982, 20884, 10896, 8752, 10089, 321, 267, 476, 20981, 271, 298, 27250, 10059, 2517, 4178, 9884, 531, 27926, 2593, 270, 760, 270, 309, 597, 2320, 697, 268, 1911, 8862, 3430, 7232, 638, 20884, 6441, 3633, 6441, 697, 5174, 592, 321, 268, 20981, 271, 298, 28233, 2775, 5336, 539, 1756, 4149, 920, 342, 5174, 848, 7232, 2918, 6261, 871, 6361, 268, 275, 270, 278, 1321, 27151, 6507, 274, 454, 19878, 476, 1789, 267, 476, 1001, 280, 1109, 6440, 5164, 2320, 697, 781, 3366, 1769, 15620, 476, 1911, 26910, 6697, 616, 20483, 676, 513, 476, 274, 268, 17413, 17290, 654, 1551, 656, 344, 282, 10896, 8752, 10089, 321, 589, 866, 910, 4303, 2775, 476, 20981, 271, 330, 5164, 2320, 697, 781, 476, 1911, 26910, 3366, 1769, 15941, 2488, 476, 9610, 271, 561, 636, 839, 540, 1769, 5612, 609, 1100, 7996, 942, 547, 3636, 909, 269, 1452, 3366, 8279, 585, 1753, 616, 1390, 5079, 585, 8602, 7741, 267, 18109, 11655, 267, 10051, 267, 25810, 269, 274, 269, 277, 270, 276, 263, 278, 2020, 1012, 9612, 532, 585, 476, 1911, 654, 3430, 10089, 321, 476, 1015, 25980, 2496, 2791, 666, 1175, 4945, 519, 6402, 1657, 269, 634, 9623, 568, 6394, 585, 596, 269, 0, 18404, 600, 987, 19577, 25817, 2999, 19881, 1741, 8921, 3436, 14033, 2421, 5376, 916, 19257, 5558, 1109, 3436, 476, 1109, 12709, 1109 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1249, 602, 930, 949, 581, 1210, 513, 2147, 726, 1195, 609, 12098, 534, 4231, 269, 808, 18804, 593, 519, 6512, 342, 6782, 543, 5009, 1945, 267, 799, 593, 519, 2627, 5654, 1134, 9837, 539, 543, 17154, 267, 855, 602, 568, 849, 1945, 602, 949, 581, 2921, 707, 3007, 2476, 689, 824, 3527, 789, 616, 2921, 602, 1810, 1406, 3337, 909, 865, 1134, 585, 1004, 543, 519, 4541, 563, 7883, 547, 7168, 1454, 1022, 3728, 1426, 5832, 1631, 543, 596, 3580, 1265, 513, 17154, 4781, 267, 9811, 713, 949, 1134, 581, 513, 2318, 1900, 855, 621, 3085, 1406, 1491, 2476, 689, 519, 6967, 5318, 10624, 540, 5779, 2472, 610, 519, 1249, 602, 891, 4025, 3136, 547, 1930, 811, 4559, 1472, 519, 1158, 269, 4004, 21899, 513, 17154, 4781, 950, 519, 1870, 949, 711, 581, 3168, 24323, 693, 1018, 3116, 621, 666, 2709, 610, 824, 2081, 621, 666, 1689, 547, 948, 16102, 519, 4541, 855, 17033, 607, 513, 6725, 726, 1195, 538, 1931, 547, 2333, 12434, 543, 11097, 523, 519, 7535, 540, 1004, 621, 949, 9029, 547, 666, 581, 22801, 543, 13587, 1516, 563, 12648, 22413, 4689, 1091, 585, 3236, 267, 930, 9193, 2303, 789, 946, 936, 476, 272, 5479, 6550, 540, 14132, 513, 1032, 538, 519, 2475, 4805, 1107, 1281, 10962, 513, 17154, 4781, 593, 707, 10624, 22771, 585, 782, 1346, 5434, 2507, 649, 1810, 1406, 1589, 865, 269, 4858, 2738, 991, 547, 581, 6236, 741, 1764, 543, 27510, 8101, 2318, 1689, 267, 711, 17259, 593, 3466, 547, 6133, 811, 2472, 563, 8256, 28366, 723, 513, 9157, 2614, 942, 540, 621, 607, 621, 568, 267, 3843, 547, 2995, 799, 12478, 616, 543, 5749, 1406, 1373, 12001, 1510, 621, 1373, 9788, 593, 5394, 950, 621, 2501, 547, 1426, 607, 1134, 563, 1432, 649, 917, 568, 602, 1247, 930, 12478, 543, 4213, 949, 3136, 547, 798, 713, 267, 930, 786, 2141, 11441, 547, 581, 1732, 269, 2368, 616, 8149, 547, 1373, 9237, 543, 1930, 543, 9247, 1818, 621, 4443, 585, 721, 267, 519, 7082, 267, 547, 1118, 11461, 3664, 827, 1018, 649, 1616, 547, 4444, 563, 288, 1870, 3056, 519, 1259, 538, 4881, 741, 13539, 899, 713, 568, 744, 520, 569, 267, 789, 7948, 1406, 581, 811, 12001, 952, 789, 6836, 269, 7046, 569, 17548, 875, 789, 2196, 741, 13539, 543, 1946, 267, 1018, 789, 616, 3257, 547, 2087, 267, 7713, 519, 3527, 789, 1491, 630, 9767, 3314, 519, 15784, 1472, 519, 4563, 7723, 5092, 267, 649, 5206, 827, 621, 1934, 264, 543, 1256, 18071, 519, 3327, 11640, 540, 741, 2472, 593, 519, 11183, 543, 10912, 585, 713, 547, 1831, 3044, 585, 782, 269, 1284, 1589, 713, 568, 7168, 12473, 543, 649, 1589, 621, 786, 581, 12478, 899, 713, 602, 4473, 909, 538, 519, 2104, 563, 10673, 1406, 2887, 6408, 547, 12478, 602, 946, 12098, 534, 4231, 607, 1175, 1776, 6725, 726, 1195, 547, 5968, 519, 7301, 5048, 602, 789, 616, 3257, 1434, 950, 2965, 789, 616, 4929, 811, 2800, 269, 3776, 5796, 286, 1684, 707, 1382, 267, 2007, 2620, 883, 1022, 6811, 1373, 1500, 676, 3549, 610, 1022, 5013, 602, 596, 1589, 1810, 1406, 3833, 1039, 909, 269, 0, 2467, 616, 513, 2603, 540, 12738, 267, 543, 1686, 4448, 609, 519, 5412, 3752, 560, 823, 563, 2690, 5215, 540, 1296, 267, 713, 1974, 540, 519, 1032, 729, 9976, 538, 1585, 2081, 267, 2066, 513, 2603, 540, 1114, 10764, 543, 4529, 267, 543, 1256, 19951, 621, 1869, 6818, 563, 2171, 949, 1745, 602, 9059, 538, 519, 2011, 610, 849, 5469, 621, 538, 1004, 1472, 721, 267, 610, 1256, 5873, 621, 538, 930, 1114, 2575, 269, 4438, 713, 1974, 267, 930, 2178, 4664, 543, 4606, 616, 849, 859, 12097, 538, 1169, 835, 540, 721, 267, 543, 789, 949, 2132, 585, 930, 942, 563, 2005, 786, 581, 942, 547, 1265, 8788, 543, 7772, 543, 547, 8661, 269, 4746, 267, 1282, 713, 1974, 267, 1004, 666, 8415, 782, 540, 519, 7060, 602, 519, 6129, 814, 547, 3035, 741, 9909, 543, 1246, 741, 16858, 269, 1358, 1058, 1769, 2933, 909, 543, 1294, 713, 1158, 1769, 539, 909, 1932, 563, 7212, 519, 1079, 7215, 666, 581, 7357, 1114, 267, 1169, 835, 540, 873, 786, 948, 538, 8236, 519, 1482, 3804, 563, 763, 15604, 3752, 560, 823, 568, 782, 827, 26621, 519, 1249, 602, 1256, 1498, 649, 666, 1294, 519, 13074, 1554, 267, 14334, 568, 2469, 547, 2097, 2899, 1586, 267, 543, 1256, 1498, 649, 666, 1294, 519, 13074, 3781, 1932, 267, 1769, 568, 849, 2469, 547, 2097, 2899, 1586, 563, 10214, 1498, 649, 1995, 546, 7081, 267, 1169, 2582, 3364, 786, 581, 519, 1482, 269, 8752, 3112, 581, 9228, 1510, 1101, 6544, 1516, 14334, 267, 543, 4832, 3112, 581, 6956, 2394, 649, 6956, 543, 4718, 519, 5162, 269, 1452, 1079, 2035, 991, 1142, 824, 547, 723, 2631, 543, 581, 1483, 269, 1703, 568, 1175, 835, 1483, 1533, 267, 543, 3388, 3116, 568, 2192, 16272, 269, 1924, 267, 649, 616, 1175, 835, 267, 519, 1769, 543, 519, 4158, 616, 849, 835, 267, 543, 649, 616, 4986, 610, 849, 3388, 782, 8195, 563, 7628, 519, 1151, 560, 823, 538, 519, 5162, 4005, 267, 1004, 616, 1419, 18056, 602, 7488, 540, 519, 14334, 540, 519, 3781, 267, 519, 1769, 568, 2141, 2469, 547, 2097, 1394, 269, 4746, 267, 28000, 540, 519, 1554, 779, 1769, 267, 519, 14334, 568, 2141, 2469, 547, 2097, 1394, 563, 2171, 616, 2713, 538, 519, 1158, 538, 799, 649, 949, 581, 6126, 585, 835, 4090, 543, 519, 1985, 835, 267, 649, 786, 581, 8909, 269, 1924, 267, 538, 1175, 835, 3236, 267, 938, 1272, 949, 1689, 4625, 269, 769, 1152, 835, 4090, 267, 649, 666, 3068, 2669, 610, 1928, 267, 610, 849, 12257, 610, 4332, 563, 2171, 616, 2713, 538, 713, 1158, 538, 799, 1169, 12094, 6818, 267, 519, 1164, 543, 519, 1970, 267, 519, 11802, 543, 519, 6560, 1932, 563, 10214, 1498, 789, 949, 1413, 899, 513, 1114, 1533, 540, 1373, 267, 789, 666, 581, 851, 540, 4376, 811, 1713, 267, 971, 607, 627, 565, 8864, 269, 1284, 2097, 547, 519, 1480, 1533, 547, 1995, 1169, 12094, 267, 2681, 267, 543, 4082, 540, 519, 3929, 22774, 1932, 563, 9827, 267, 649, 2097, 547, 7985, 267, 1265, 7772, 267, 8853, 610, 1265, 1928, 267, 607, 1134, 607, 1995, 782, 602, 607, 649, 917, 602, 621, 786, 1118, 721, 2898, 563, 2171, 1058, 849, 8956, 1169, 4783, 267, 543, 3314, 602, 621, 568, 711, 3388, 538, 875, 1419, 649, 14679, 538, 14334, 610, 1256, 538, 519, 1769, 267, 855, 621, 568, 538, 875, 649, 11863, 891, 2829, 547, 1847, 721, 267, 1689, 721, 267, 607, 1134, 607, 21352, 721, 610, 32570, 721, 547, 627, 565, 8864, 267, 2648, 799, 29084, 1472, 563, 3086, 267, 596, 666, 1246, 721, 593, 5442, 4306, 8980, 305, 4456, 2336, 15862, 15894, 281, 1744, 13616, 18450, 630, 997, 10234, 676, 22126, 301, 8358, 3528, 962, 584, 26619, 0, 288, 1259, 547, 19665, 2244, 1858, 269, 589, 7226, 1826, 666, 1489, 1978, 6172, 1314, 10664, 267, 1312, 3529, 543, 896, 29115, 2249, 269, 26335, 17511, 666, 5815, 519, 6211, 1761, 540, 513, 3135, 269, 630, 674, 306, 4658, 781, 3794, 27443, 540, 19889, 27002, 31198, 16301, 994, 263, 272, 4700, 20309, 540, 519, 6211, 1761, 540, 606, 1858, 269, 630, 273, 4700, 11814, 633, 2165, 585, 1346, 2168, 2127, 630, 523, 4921, 264, 602, 1489, 610, 666, 1489, 519, 1482, 2030, 7681, 267, 610, 1705, 1489, 621, 1991, 547, 922, 9552, 610, 14842, 676, 3595, 267, 6360, 267, 21737, 267, 19883, 267, 610, 8623, 12515, 267, 3092, 269, 630, 274, 4700, 589, 3454, 21978, 1770, 543, 513, 11837, 1770, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 29612, 338, 723, 1044, 1472, 585, 811, 982, 476, 2004, 1296, 267, 543, 538, 602, 942, 789, 723, 1044, 6534, 547, 513, 547, 930, 4110, 26742, 19631, 543, 19944, 6681, 6454, 18846, 269, 634, 1974, 1282, 799, 519, 5137, 543, 6454, 540, 27178, 7620, 7018, 729, 513, 1974, 540, 2941, 1190, 543, 16434, 10069, 3278, 543, 5122, 1379, 267, 543, 1164, 5122, 7607, 729, 513, 26815, 13061, 851, 540, 1648, 946, 269, 13575, 267, 8654, 814, 1044, 16397, 676, 519, 16434, 543, 2241, 547, 1711, 13085, 15941, 269, 1325, 18464, 1360, 3653, 995, 543, 7904, 7566, 267, 519, 538, 10339, 839, 4369, 543, 6631, 2329, 540, 30437, 15620, 5916, 609, 519, 1287, 8766, 13258, 540, 1648, 1500, 873, 3617, 585, 741, 942, 12732, 269, 27178, 2808, 5393, 22376, 1375, 880, 2490, 540, 2621, 543, 11144, 547, 581, 606, 6364, 267, 543, 941, 931, 11220, 547, 5634, 3156, 267, 585, 1383, 267, 24072, 8654, 593, 6191, 610, 17927, 1297, 1835, 684, 7129, 563, 3528, 519, 476, 3192, 271, 779, 20866, 267, 519, 1648, 6429, 3323, 606, 3929, 6521, 799, 4718, 11999, 20073, 687, 538, 519, 13258, 540, 19386, 681, 1581, 10896, 18224, 12051, 543, 513, 12805, 7269, 538, 519, 13258, 547, 5838, 5122, 1379, 269, 769, 5393, 2110, 7662, 267, 519, 4644, 540, 1648, 15334, 543, 4027, 3323, 547, 1831, 519, 8789, 17122, 1448, 267, 543, 8030, 540, 30788, 6417, 19269, 3323, 513, 6521, 2509, 6454, 540, 3688, 799, 1223, 946, 1648, 782, 519, 811, 1587, 1947, 269, 901, 729, 24215, 2312, 538, 519, 3684, 267, 9023, 267, 543, 2413, 7011, 1782, 6990, 607, 15670, 3323, 7432, 856, 3688, 799, 15469, 741, 9120, 15334, 936, 811, 19023, 4566, 607, 513, 9513, 1448, 563, 3080, 3148, 1141, 1648, 11327, 7344, 13120, 1793, 17977, 19037, 729, 519, 8654, 1870, 269, 1325, 18464, 811, 11327, 24638, 8279, 3323, 547, 10841, 754, 547, 17736, 545, 6681, 1145, 1282, 519, 476, 3192, 271, 779, 267, 741, 9642, 1544, 543, 3152, 13258, 11658, 741, 1455, 2631, 267, 609, 519, 6574, 2127, 540, 3483, 1373, 3330, 519, 1870, 543, 2413, 1870, 9922, 269, 1635, 519, 476, 2735, 271, 779, 267, 15069, 8654, 15334, 729, 9991, 513, 1279, 2081, 3297, 1034, 1114, 2010, 540, 5122, 10124, 267, 543, 930, 4990, 540, 811, 8903, 8654, 5647, 729, 2838, 269, 898, 568, 607, 540, 1631, 602, 13120, 540, 519, 667, 17311, 3323, 2899, 811, 20068, 1947, 267, 538, 19220, 540, 519, 1249, 602, 1282, 519, 942, 540, 519, 476, 3422, 271, 779, 998, 4571, 476, 2735, 271, 779, 3220, 1508, 13120, 4718, 513, 1906, 2565, 3986, 906, 267, 1034, 856, 1056, 5944, 538, 519, 4390, 547, 5838, 3043, 1769, 1267, 27178, 543, 1732, 10859, 28068, 2326, 609, 799, 547, 3132, 27178, 563, 3528, 519, 4571, 547, 3735, 476, 1960, 271, 779, 27178, 941, 6679, 909, 799, 1223, 6445, 606, 25819, 540, 2489, 21481, 3156, 2731, 269, 2290, 540, 519, 3156, 1141, 27178, 3323, 547, 2743, 609, 9058, 9740, 729, 538, 10935, 8654, 269, 2060, 741, 5393, 1164, 15334, 543, 3579, 2534, 267, 27178, 941, 513, 8984, 3514, 585, 946, 8704, 16996, 1141, 1379, 568, 11658, 543, 5329, 909, 609, 2922, 6007, 1379, 6585, 2596, 269, 27178, 6035, 519, 4390, 547, 2285, 1769, 1247, 5969, 12725, 2139, 1648, 946, 676, 909, 547, 476, 5780, 10065, 1703, 941, 513, 1906, 2152, 581, 602, 607, 621, 949, 267, 519, 1034, 2565, 540, 799, 3769, 25031, 1769, 2298, 543, 16048, 10661, 269, 769, 19220, 540, 519, 1249, 602, 27178, 538, 519, 476, 1960, 271, 779, 941, 4867, 811, 11141, 543, 4712, 547, 1711, 3043, 554, 4240, 1769, 267, 519, 1769, 1131, 538, 2489, 581, 10169, 3579, 676, 782, 6589, 267, 543, 2094, 27178, 2154, 3169, 6453, 2157, 547, 960, 14013, 267, 10935, 619, 2877, 547, 4990, 856, 930, 1259, 547, 6338, 519, 16048, 8800, 547, 1832, 909, 609, 2922, 6453, 2157, 563, 3528, 476, 1220, 276, 513, 1804, 6712, 540, 519, 2152, 609, 27178, 1185, 1044, 9619, 620, 2431, 547, 11863, 667, 17311, 10935, 8279, 547, 856, 704, 845, 30437, 15620, 676, 7168, 1454, 1169, 8167, 540, 11056, 269, 8752, 2298, 729, 4867, 24534, 543, 27178, 8118, 909, 538, 3579, 3043, 267, 3636, 3043, 543, 3339, 3043, 3099, 5210, 13974, 607, 24638, 8279, 269, 3220, 1508, 10935, 1769, 12696, 3323, 6220, 5249, 538, 6453, 9013, 8800, 799, 15868, 667, 17311, 19698, 547, 581, 2196, 689, 606, 25819, 540, 3196, 2959, 1519, 1312, 3339, 476, 1321, 543, 476, 2190, 18699, 10850, 609, 18374, 1100, 4145, 540, 561, 3591, 3660, 28696, 610, 26389, 31362, 519, 8279, 269, 962, 1752, 1379, 585, 27178, 729, 909, 1932, 267, 609, 27178, 1631, 4712, 547, 6445, 18374, 1022, 2816, 8704, 513, 10935, 581, 621, 561, 17690, 8654, 610, 3544, 30425, 3156, 609, 6909, 23812, 563, 15430, 1836, 538, 476, 1001, 273, 267, 649, 616, 7487, 27178, 1373, 15422, 607, 3044, 10591, 585, 930, 1007, 10935, 3631, 269, 901, 3350, 689, 3448, 3668, 540, 9355, 547, 7432, 883, 519, 3339, 12880, 1826, 540, 10935, 8654, 666, 581, 4553, 607, 513, 4341, 547, 519, 2810, 9276, 540, 1648, 543, 519, 10421, 585, 15334, 267, 543, 519, 18374, 4998, 3514, 27178, 2709, 609, 1743, 14823, 3156, 269, 27178, 666, 3142, 1524, 519, 5122, 1379, 8246, 676, 8654, 676, 909, 547, 476, 3199, 9077, 799, 593, 513, 10935, 568, 513, 18374, 17134, 5896, 6454, 269, 7316, 10935, 619, 2899, 2877, 547, 8167, 519, 13345, 540, 12725, 2139, 8654, 547, 2149, 6007, 17990, 543, 3180, 4492, 13345, 1524, 267, 789, 666, 1631, 2196, 8279, 585, 3376, 2989, 5712, 609, 18374, 1100, 3665, 1379, 8756, 563, 29612, 338, 2709, 10935, 619, 3773, 2640, 1932, 799, 616, 3551, 569, 4448, 609, 519, 9058, 6381, 8654, 10591, 593, 16996, 3068, 538, 513, 7286, 2916, 269, 19837, 25630, 547, 32689, 15620, 267, 27178, 723, 1100, 6775, 610, 4837, 15941, 538, 741, 1544, 267, 4758, 873, 18569, 1465, 513, 1279, 2081, 2250, 602, 540, 1022, 22232, 1769, 269, 634, 2597, 344, 21513, 543, 556, 13757, 1117, 7506, 16996, 616, 4749, 6534, 547, 896, 18473, 4262, 2175, 666, 3801, 547, 9247, 3142, 1524, 519, 2104, 540, 513, 1455, 13085, 15941, 267, 4749, 8744, 827, 3330, 543, 856, 1769, 14922, 906, 607, 10347, 11103, 2736, 896, 519, 2597, 344, 2604, 269, 4595, 27178, 616, 2178, 1533, 538, 1544, 267, 2495, 789, 1413, 899, 513, 19202, 811, 982, 789, 798, 513, 1769, 267, 789, 616, 27723, 4824, 4712, 547, 22036, 28915, 13015, 609, 18374, 1100, 11495, 8801, 4539, 563, 1103, 19220, 540, 519, 1249, 602, 27178, 616, 1256, 811, 14427, 547, 4444, 982, 30437, 15620, 267, 789, 723, 513, 2104, 2484, 20546, 532, 602, 540, 741, 4837, 543, 6775, 4891, 269, 2755, 606, 8723, 13085, 15941, 1522, 2063, 476, 272, 267, 1822, 547, 476, 1220, 271, 3108, 267, 513, 667, 17311, 666, 17216, 960, 585, 476, 1839, 267, 1822, 547, 476, 2004, 267, 1822, 3108, 782, 1919, 2808, 269, 901, 1360, 17890, 6198, 1272, 10522, 513, 667, 17311, 786, 1832, 2469, 585, 607, 1279, 607, 476, 1015, 1296, 593, 513, 10935, 693, 2053, 1354, 621, 2115, 5486, 13589, 269, 634, 26837, 4192, 6364, 1934, 568, 602, 23344, 513, 667, 17311, 1522, 1942, 782, 519, 811, 693, 1101, 267, 621, 786, 2628, 585, 3294, 609, 1360, 17890, 1272, 543, 2484, 1447, 1769, 2655, 4801, 563, 1103, 19220, 540, 519, 1249, 602, 621, 2838, 513, 1360, 1279, 942, 585, 667, 17311, 6454, 547, 22992, 1376, 11319, 4464, 1310, 741, 5817, 5137, 267, 3773, 20949, 689, 9750, 1648, 3790, 543, 513, 22510, 6881, 11282, 609, 7286, 3156, 19443, 609, 12081, 1746, 1719, 538, 741, 13345, 269, 1879, 20291, 609, 1743, 14823, 24284, 267, 27178, 6542, 4010, 519, 1259, 602, 14323, 543, 862, 976, 1619, 741, 13345, 666, 581, 267, 543, 1397, 585, 1978, 4010, 519, 1259, 538, 799, 21295, 789, 616, 540, 6038, 5486, 13589, 519, 30758, 547, 581, 22573, 13085, 1769, 269, 0, 7072, 540, 3057, 1076, 543, 21081, 924, 454, 5278, 821, 11112, 4058, 519, 9703, 540, 741, 1753, 267, 1577, 803, 2995, 596, 1382, 568, 1360, 2629, 267, 2523, 950, 6236, 519, 3017, 1063, 25342, 543, 18899, 563, 3080, 540, 519, 2352, 5079, 519, 5411, 723, 568, 7446, 1063, 3057, 1076, 543, 21081, 924, 563, 13828, 3057, 1076, 543, 21081, 924, 267, 1419, 5219, 547, 607, 25342, 18899, 267, 616, 2067, 2326, 543, 616, 1419, 19451, 585, 1142, 824, 563, 2467, 666, 581, 27290, 7648, 538, 7990, 543, 4806, 563, 1103, 1312, 2665, 267, 513, 4159, 3732, 596, 1294, 538, 3613, 648, 949, 711, 581, 606, 4977, 6041, 540, 707, 4890, 6718, 563, 4131, 779, 1205, 593, 547, 1865, 811, 827, 3057, 1076, 543, 21081, 924, 563, 1432, 1772, 3057, 1076, 1656, 1215, 1772, 898, 17214, 888, 8139, 519, 18899, 543, 25342, 3017, 6238, 609, 519, 9238, 563, 763, 2262, 968, 11321, 1076, 892, 568, 6508, 689, 519, 9147, 5259, 544, 5451, 337, 3405, 657, 267, 799, 1797, 968, 322, 31051, 710, 4224, 267, 26124, 6149, 1848, 3057, 1076, 568, 513, 30704, 23009, 545, 4224, 269, 898, 5161, 540, 513, 2527, 540, 954, 24286, 9274, 540, 18287, 924, 610, 519, 7777, 12373, 558, 924, 563, 11321, 1076, 568, 1500, 607, 513, 1267, 540, 14680, 602, 568, 1641, 547, 3665, 3002, 543, 2604, 563, 1607, 4999, 540, 3002, 543, 2604, 973, 31051, 3278, 519, 18287, 924, 538, 14680, 543, 666, 849, 1860, 519, 9403, 543, 7990, 540, 18899, 563, 2750, 1700, 29069, 10067, 531, 538, 3127, 568, 3710, 540, 25120, 337, 3570, 513, 3043, 18899, 602, 2242, 27280, 609, 519, 5086, 540, 519, 1769, 269, 634, 3114, 5888, 540, 18899, 281, 898, 3117, 1235, 6140, 540, 25289, 19941, 630, 25519, 10870, 274, 264, 609, 5634, 5666, 540, 8125, 3821, 267, 13101, 19941, 267, 8125, 3821, 267, 11635, 12547, 267, 1325, 6058, 1756, 12547, 267, 3092, 563, 1432, 1772, 21081, 924, 1656, 1215, 1772, 898, 17214, 888, 2691, 3695, 519, 25342, 543, 18899, 3017, 267, 621, 779, 1898, 547, 1376, 609, 741, 8129, 563, 763, 2262, 968, 294, 3757, 924, 892, 7902, 585, 519, 1101, 942, 538, 519, 1568, 540, 519, 2296, 7762, 534, 1235, 267, 10629, 267, 543, 14544, 6970, 525, 531, 11017, 639, 538, 519, 476, 1626, 628, 2540, 563, 294, 3757, 924, 568, 513, 2182, 5337, 15667, 6149, 543, 568, 519, 1034, 1455, 703, 28424, 4224, 538, 3047, 779, 18626, 12933, 563, 2005, 568, 5432, 607, 513, 2138, 339, 1194, 11909, 267, 3043, 267, 15454, 267, 543, 3109, 25798, 6149, 269, 898, 568, 21432, 547, 5420, 3766, 11712, 563, 294, 3757, 924, 568, 1500, 936, 6634, 540, 1296, 676, 15027, 2534, 269, 7395, 2742, 8928, 689, 15027, 2534, 543, 7444, 3579, 338, 936, 6634, 540, 1296, 563, 7628, 519, 1184, 267, 29351, 10905, 609, 1585, 6886, 267, 1519, 18057, 4565, 29868, 267, 21688, 1091, 1706, 267, 544, 3821, 267, 543, 21247, 267, 547, 1711, 922, 968, 322, 15009, 531, 5920, 2108, 563, 763, 3114, 5888, 540, 25342, 281, 898, 5161, 540, 519, 6886, 21247, 543, 21688, 1091, 1706, 267, 634, 1034, 1455, 1569, 800, 6886, 616, 519, 3109, 544, 3821, 1979, 582, 924, 543, 519, 3109, 19917, 1961, 18057, 4565, 29868, 563, 3086, 950, 596, 917, 519, 2596, 3017, 1063, 18899, 5288, 25342, 267, 1519, 741, 5250, 543, 5888, 563, 2467, 616, 1896, 2188, 602, 596, 1590, 2015, 1644, 547, 5654, 543, 2168, 2609, 540, 1312, 269, 1924, 2913, 779, 1205, 811, 1808, 827, 9236, 519, 1114, 10305, 540, 18899, 543, 25342, 563, 8196, 995, 9137, 585, 1411, 454, 268, 1548, 1772, 1290, 22683, 8381, 454, 268, 1548, 1772, 519, 16338, 9737, 513, 1744, 1077, 7754, 543, 513, 1744, 1077, 12476, 888, 268, 1548, 1772, 681, 10762, 454, 268, 1548, 1772, 513, 32001, 19937, 454, 268, 1548, 1772, 1234, 8663, 17214, 2986, 454, 268, 1548, 1772, 595, 8735, 454, 268, 1548, 1772, 513, 31108, 12856, 454, 268, 1548, 1772, 519, 20970, 585, 513, 10348, 12025, 16170, 454, 268, 1548, 1772, 3117, 30872, 700, 22133, 6611, 454, 268, 1548, 1772, 2290, 10158, 1411, 2052, 16440, 24542, 888, 268, 1548, 1772, 631, 4206, 6399, 454, 268, 1548, 1772, 513, 25143, 548, 540, 1744, 24943, 454, 268, 1548, 1772, 513, 11829, 517, 540, 4826, 1284, 662, 454, 268, 1548, 1772, 32001, 590, 1662, 454, 268, 1548, 1772, 513, 590, 10079, 5811, 454, 268, 1548, 1772, 519, 9741, 4563, 27339, 593, 513, 570, 1901, 12763, 454, 268, 1548, 1772, 519, 16338, 9737, 513, 12157, 339, 543, 513, 21115, 342, 888, 268, 1548, 1772, 3683 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 22760, 566, 540, 519, 4737, 1297, 609, 519, 6241, 1297, 269, 1280, 1383, 269, 519, 2338, 540, 519, 3791, 4737, 630, 476, 1556, 3738, 543, 519, 2034, 6241, 630, 4905, 1070, 950, 6677, 22760, 730, 267, 2285, 519, 9352, 1297, 476, 8099, 272, 267, 519, 9352, 6697, 540, 8918, 476, 1724, 269, 4935, 267, 519, 4009, 538, 519, 3791, 4737, 543, 2034, 6241, 4564, 1295, 1181, 544, 1724, 780, 1892, 1520, 329, 8809, 10945, 616, 3989, 547, 581, 10945, 1985, 547, 1142, 824, 269, 634, 10945, 593, 519, 1283, 6241, 5905, 519, 10945, 538, 519, 5377, 6241, 269, 769, 1840, 267, 10945, 538, 519, 2451, 2865, 6241, 5905, 10945, 538, 519, 1318, 2865, 6241, 780, 304, 269, 22217, 1518, 519, 29491, 1599, 2016, 676, 674, 26028, 21726, 11971, 267, 345, 264, 815, 3980, 495, 263, 271, 267, 272, 267, 273, 267, 275, 267, 276, 267, 277, 267, 279, 267, 280, 267, 1321, 267, 1724, 267, 1691, 2020, 1892, 634, 1295, 614, 916, 3254, 538, 519, 2040, 616, 6825, 607, 476, 272, 538, 519, 918, 5336, 777, 543, 649, 723, 476, 1556, 10945, 609, 476, 272, 780, 1892, 28758, 476, 272, 543, 476, 273, 616, 8630, 5523, 547, 1711, 513, 2582, 4756, 586, 262, 780, 1892, 28758, 476, 275, 814, 1614, 4009, 609, 476, 272, 781, 855, 891, 3112, 581, 5916, 607, 789, 616, 538, 1379, 540, 476, 273, 780, 1892, 1284, 1223, 1631, 9192, 873, 607, 1079, 13551, 540, 476, 273, 10945, 1142, 610, 1079, 10945, 540, 2450, 630, 273, 265, 273, 1040, 4595, 649, 1616, 513, 6922, 2213, 2165, 649, 3442, 547, 9192, 1079, 10945, 540, 2450, 630, 273, 265, 273, 6393, 1892, 901, 3947, 721, 530, 262, 345, 262, 543, 1535, 345, 262, 780, 1892, 15937, 3830, 281, 674, 815, 586, 262, 1341, 530, 262, 345, 262, 1341, 1535, 345, 28847, 304, 269, 22217, 1518, 519, 4082, 674, 815, 589, 262, 289, 262, 290, 262, 1341, 645, 262, 7374, 262, 1341, 589, 262, 6195, 291, 262, 1341, 9474, 262, 290, 28847, 1892, 589, 262, 289, 262, 290, 262, 568, 6719, 538, 10945, 476, 1822, 271, 543, 476, 1822, 272, 780, 1892, 645, 262, 7374, 262, 568, 2016, 676, 10945, 476, 9826, 271, 543, 476, 6200, 271, 692, 1892, 589, 262, 6195, 291, 262, 568, 2016, 676, 4009, 476, 18733, 271, 692, 1892, 9474, 262, 290, 262, 568, 2016, 676, 10945, 476, 1911, 271, 543, 476, 1911, 272, 692, 1892, 1280, 5187, 2305, 649, 9192, 1295, 614, 916, 544, 271, 544, 272, 267, 544, 279, 267, 544, 280, 269, 547, 1205, 2165, 645, 262, 290, 262, 543, 649, 849, 9192, 10945, 544, 815, 476, 271, 267, 476, 273, 267, 476, 279, 267, 476, 1015, 547, 1205, 2165, 645, 262, 291, 8339, 7053, 649, 9192, 10945, 544, 815, 476, 273, 267, 277, 547, 1205, 2165, 589, 262, 7374, 262, 780, 1892, 4475, 267, 674, 815, 645, 262, 291, 262, 1341, 645, 262, 595, 262, 1341, 589, 262, 290, 667, 28847, 28269, 1955, 2364, 1218, 692, 1892, 589, 6305, 708, 2364, 656, 568, 513, 1587, 2165, 5833, 676, 635, 30692, 321, 1456, 519, 5021, 2009, 1297, 540, 11105, 10945, 538, 519, 4786, 269, 1403, 513, 1295, 3410, 538, 513, 4009, 568, 4988, 676, 1152, 835, 6305, 708, 2364, 656, 602, 6305, 708, 2364, 656, 568, 1767, 547, 581, 1898, 780, 1892, 901, 1797, 602, 513, 2582, 476, 272, 593, 513, 4786, 4564, 513, 6305, 708, 2364, 656, 952, 621, 568, 711, 11105, 547, 1022, 824, 476, 272, 781, 269, 5565, 11105, 476, 272, 781, 1106, 513, 6305, 708, 2364, 656, 3177, 602, 789, 616, 711, 1369, 513, 1895, 540, 2185, 11105, 10945, 269, 9050, 11105, 476, 272, 781, 1106, 513, 6305, 708, 30692, 2364, 656, 952, 789, 616, 711, 1369, 513, 1895, 540, 5216, 11105, 10945, 543, 865, 593, 780, 1892, 634, 1898, 6305, 708, 2364, 1218, 616, 1336, 676, 3168, 693, 1142, 4009, 6825, 609, 513, 476, 272, 543, 10992, 519, 1297, 540, 6305, 708, 2364, 1218, 602, 3382, 621, 269, 634, 6305, 708, 2364, 656, 568, 1898, 952, 621, 568, 519, 1152, 6305, 708, 2364, 656, 602, 6227, 519, 1295, 1181, 16317, 1892, 634, 5650, 585, 4466, 519, 16866, 4082, 689, 519, 4786, 3340, 602, 649, 1101, 632, 30692, 3410, 710, 782, 519, 1898, 6305, 708, 2364, 1218, 269, 634, 16866, 4082, 568, 5833, 689, 519, 2845, 30692, 673, 2040, 540, 782, 519, 1898, 6305, 708, 2364, 1218, 267, 7132, 824, 6305, 708, 2364, 1218, 602, 949, 581, 2877, 547, 3382, 1022, 6967, 1295, 614, 916, 711, 4988, 676, 519, 1898, 6305, 708, 2364, 1218, 780, 304, 269, 6333, 519, 1739, 2185, 8686, 926, 762, 29491, 1599, 281, 674, 10490, 267, 645, 267, 595, 267, 667, 264, 815, 3980, 495, 263, 476, 271, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1724, 267, 476, 1428, 2020, 1892, 4855, 856, 519, 476, 272, 781, 799, 666, 581, 4988, 1152, 896, 513, 2582, 6305, 708, 2364, 656, 269, 769, 519, 4137, 519, 476, 272, 781, 602, 30593, 713, 2783, 616, 538, 544, 815, 476, 271, 267, 476, 276, 267, 476, 279, 269, 1452, 723, 547, 3769, 538, 6305, 708, 2364, 1218, 607, 891, 616, 519, 1898, 6305, 708, 2364, 1218, 780, 1892, 634, 1898, 6305, 708, 2364, 1218, 616, 5833, 676, 9256, 1295, 614, 916, 544, 815, 476, 271, 267, 274, 267, 279, 267, 1015, 547, 1205, 519, 2165, 645, 262, 291, 262, 543, 544, 815, 476, 276, 267, 278, 267, 1724, 267, 1428, 547, 1205, 519, 2165, 30183, 692, 1892, 901, 3762, 519, 1295, 614, 916, 544, 815, 476, 280, 267, 476, 1556, 267, 476, 274, 799, 949, 581, 4988, 1210, 6305, 708, 2364, 1218, 538, 2789, 2081, 543, 649, 1205, 15273, 527, 921, 3435, 607, 780, 1892, 674, 815, 30183, 1341, 645, 262, 291, 262, 1341, 7131, 1341, 5084, 692, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 7131, 1341, 9474, 28847, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 645, 262, 595, 1341, 5084, 692, 1892, 815, 30183, 1341, 645, 262, 291, 262, 1341, 645, 262, 290, 1341, 9474, 28847, 24165, 291, 308, 6311, 14114, 293, 4149, 308, 5960, 16038, 6573, 299, 9281, 2975, 9569, 692, 1892, 1403, 649, 616, 2016, 513, 1599, 538, 5681, 540, 15733, 1106, 543, 649, 723, 547, 1265, 519, 6922, 1436, 538, 8605, 540, 5681, 1106, 649, 1246, 519, 5650, 1384, 1892, 4460, 782, 519, 1295, 614, 916, 607, 476, 272, 538, 519, 10945, 540, 519, 918, 5336, 777, 269, 634, 8900, 5624, 616, 6825, 607, 476, 271, 781, 780, 1892, 3973, 649, 946, 519, 5650, 540, 9256, 11105, 10945, 547, 1711, 3677, 10945, 610, 25965, 269, 1717, 649, 4927, 9192, 10945, 5627, 476, 271, 781, 543, 711, 476, 272, 781, 780, 1892, 901, 568, 519, 1152, 3017, 689, 519, 5681, 540, 15733, 5650, 780, 1892, 16792, 1546, 300, 6716, 781, 11532, 630, 2421, 2921, 519, 12242, 543, 9148, 532, 1142, 21055, 1070, 649, 3489, 519, 16866, 1599, 538, 1587, 6361, 1606, 4548, 1106, 692, 304, 269, 22217, 1518, 519, 281, 1739, 29491, 1599, 883, 630, 320, 264, 2040, 6361, 1790, 20094, 1106, 543, 630, 321, 264, 1587, 6361, 30692, 18304, 1106, 281, 674, 10490, 267, 645, 267, 595, 267, 667, 264, 815, 3980, 495, 263, 271, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 2020, 1892, 634, 476, 272, 781, 6825, 538, 519, 4137, 2099, 782, 519, 1295, 614, 916, 540, 519, 1599, 269, 634, 10945, 6825, 609, 476, 271, 781, 2099, 519, 1295, 614, 916, 711, 3769, 538, 674, 543, 4061, 20301, 519, 9148, 540, 674, 269, 26157, 519, 10945, 609, 476, 272, 781, 3947, 519, 16866, 1599, 538, 2040, 6361, 30692, 268, 335, 20094, 1106, 1384, 1892, 674, 815, 645, 262, 291, 262, 1341, 645, 262, 595, 262, 1341, 589, 262, 290, 262, 291, 692, 1892, 1403, 519, 10945, 6825, 609, 476, 271, 781, 616, 5916, 649, 3489, 519, 16866, 1264, 7757, 1599, 281, 674, 262, 815, 9474, 1341, 7131, 1341, 30183, 28847, 1892, 16792, 1546, 300, 6716, 1412, 521, 11532, 630, 2421, 2921, 519, 12242, 543, 9148, 532, 1142, 21055, 1070, 649, 3489, 519, 16866, 1599, 538, 1587, 6361, 1606, 4548, 1106, 1384, 1892, 674, 815, 630, 589, 262, 1341, 645, 262, 3738, 263, 290, 262, 1341, 667, 262, 3738, 263, 289, 1412, 1341, 667, 2020, 304, 269, 674, 3287, 11971, 267, 345, 264, 815, 3980, 493, 263, 271, 267, 273, 267, 276, 267, 278, 2020, 1892, 1306, 1614, 4632, 616, 1459, 538, 519, 1599, 649, 991, 513, 1614, 4756, 918, 5336, 777, 780, 1892, 4460, 476, 271, 781, 538, 519, 7158, 7222, 547, 519, 3193, 614, 916, 2016, 538, 519, 3830, 1775, 4318, 269, 476, 271, 267, 476, 273, 267, 476, 276, 267, 476, 278, 692, 1892, 3973, 649, 4019, 519, 6922, 1436, 7954, 547, 3489, 519, 3830, 281, 634, 3193, 614, 916, 544, 815, 476, 271, 267, 476, 273, 616, 5916, 547, 1205, 519, 2165, 630, 343, 1341, 1990, 1040, 634, 2165, 568, 6829, 538, 8605, 540, 2040, 1106, 543, 649, 1205, 1535, 950, 1535, 815, 476, 271, 267, 1535, 262, 950, 1535, 815, 476, 272, 269, 630, 516, 2091, 540, 590, 8008, 1106, 2020, 1892, 634, 3193, 614, 916, 544, 815, 476, 276, 267, 476, 278, 616, 5916, 547, 1205, 519, 2165, 630, 343, 262, 1341, 1990, 262, 6393, 1892, 4935, 649, 723, 267, 674, 815, 630, 343, 266, 345, 7565, 343, 262, 266, 345, 17210, 19881, 8921, 0, 258, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 589, 645, 595, 540, 14572, 28065, 17817, 692, 2791, 616, 10478, 827, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 267, 2221, 649, 786, 2671, 609, 596, 2376, 827, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 729, 16432, 543, 12995, 676, 938, 2319, 689, 1082, 2959, 593, 519, 4950, 269, 16593, 713, 2376, 593, 519, 1888, 1215, 1677, 16534, 589, 28065, 17817, 1635, 28065, 16754, 568, 3730, 547, 596, 780, 300, 1075, 561, 12782, 354, 322, 562, 12782, 503, 328, 546, 2426, 692, 1012, 589, 645, 595, 540, 14572, 28065, 17817, 692, 2304, 4082, 540, 519, 1106, 4949, 476, 11054, 1341, 536, 343, 1341, 524, 815, 476, 271, 2073, 630, 513, 9881, 510, 476, 271, 3738, 568, 1572, 513, 13392, 3830, 538, 519, 4756, 1535, 780, 763, 3830, 4949, 476, 11054, 1341, 536, 343, 1341, 524, 815, 476, 271, 568, 1572, 2489, 630, 528, 267, 2489, 1106, 2020, 2171, 666, 4194, 519, 13392, 3830, 630, 272, 264, 676, 26458, 610, 630, 273, 264, 676, 1210, 519, 4542, 780, 763, 1505, 585, 4466, 519, 5072, 540, 513, 13392, 3830, 568, 607, 5205, 692, 343, 815, 11196, 536, 13008, 20734, 630, 321, 476, 11054, 1107, 476, 275, 1035, 264, 3738, 1315, 476, 273, 513, 692, 3086, 649, 786, 1865, 875, 547, 4194, 519, 2042, 1031, 269, 9603, 547, 519, 2647, 2039, 540, 2042, 1031, 267, 972, 568, 1100, 2582, 3070, 602, 1568, 538, 782, 2665, 269, 1717, 267, 519, 1739, 5796, 814, 8810, 5363, 780, 3721, 281, 476, 272, 3367, 519, 1966, 5402, 543, 1294, 1018, 7274, 4433, 264, 991, 547, 581, 1336, 780, 3721, 281, 476, 273, 3651, 513, 4756, 2012, 547, 519, 2450, 780, 3721, 281, 476, 274, 2119, 547, 2769, 519, 1966, 7223, 1227, 267, 543, 849, 3313, 799, 7215, 616, 3160, 543, 2328, 519, 2556, 4834, 780, 3721, 281, 476, 274, 4194, 519, 4611, 3830, 4433, 2020, 3086, 1847, 593, 547, 513, 2241, 1966, 1759, 593, 8108, 513, 13392, 3830, 543, 6061, 621, 692, 19370, 281, 634, 14009, 540, 513, 6824, 568, 835, 811, 982, 1079, 540, 519, 19362, 269, 1403, 519, 2040, 540, 519, 6824, 543, 922, 2789, 568, 476, 6812, 1315, 476, 2641, 269, 4855, 519, 6824, 780, 11405, 1384, 4131, 519, 1297, 540, 519, 6824, 581, 1535, 630, 343, 568, 606, 3693, 540, 594, 25589, 10190, 922, 14009, 568, 630, 273, 343, 1341, 476, 272, 6393, 3383, 519, 6824, 568, 1535, 1315, 630, 273, 343, 1341, 476, 272, 11723, 4517, 519, 23483, 786, 581, 630, 273, 1535, 1341, 476, 272, 264, 1315, 1535, 692, 19370, 8797, 1384, 11583, 1315, 630, 273, 1535, 338, 1341, 476, 272, 4297, 1341, 16733, 273, 1535, 1341, 476, 272, 264, 1315, 1535, 264, 815, 630, 6812, 1315, 476, 2641, 2020, 11583, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30022, 4081, 948, 454, 10673, 1405, 1577, 519, 2566, 540, 1153, 1205, 596, 1524, 256, 5620, 707, 1557, 2854, 676, 513, 3318, 5856, 1354, 519, 21120, 21128, 563, 22134, 549, 31516, 31349, 540, 24083, 1023, 1923, 32369, 7300, 454, 2467, 519, 16830, 2837, 3123, 519, 25183, 21247, 547, 3579, 2614, 602, 519, 21247, 2501, 856, 540, 922, 5277, 1533, 543, 1140, 2851, 3294, 547, 513, 6079, 12627, 540, 1164, 2298, 21247, 267, 2067, 610, 10991, 267, 602, 2636, 519, 6079, 12627, 547, 1332, 563, 763, 6662, 540, 713, 960, 729, 547, 6218, 519, 946, 540, 8652, 31516, 1505, 585, 519, 10282, 540, 1507, 543, 24267, 3623, 673, 924, 268, 272, 18410, 565, 924, 269, 634, 7506, 540, 16358, 1436, 942, 267, 16358, 1436, 2837, 267, 1114, 5214, 30177, 543, 1114, 570, 5183, 15121, 10959, 9830, 941, 11567, 269, 634, 2164, 4951, 891, 6724, 1185, 5129, 1271, 5107, 538, 9013, 9325, 2450, 540, 3623, 673, 924, 268, 272, 18410, 565, 924, 563, 22134, 549, 31516, 10282, 540, 1642, 2378, 1601, 924, 19923, 8722, 302, 273, 14848, 6693, 763, 1198, 540, 8715, 12935, 593, 519, 19916, 540, 18038, 344, 777, 520, 924, 630, 11190, 335, 264, 14848, 814, 1044, 6594, 896, 8652, 31516, 2175, 269, 589, 24888, 22743, 335, 1793, 25744, 5423, 689, 6970, 4596, 274, 543, 6970, 295, 17269, 275, 414, 24844, 273, 295, 273, 302, 729, 24704, 8652, 750, 332, 958, 538, 519, 4527, 540, 8715, 12935, 269, 634, 2472, 5833, 689, 1793, 584, 1845, 5627, 8795, 5666, 540, 8715, 12935, 941, 1336, 547, 581, 19941, 25202, 22743, 335, 676, 2473, 11920, 32250, 543, 16843, 26563, 4479, 269, 570, 4932, 4951, 602, 519, 19916, 540, 519, 2472, 729, 6766, 676, 519, 2179, 540, 8715, 12935, 3773, 547, 519, 1793, 25744, 269, 634, 2472, 5833, 689, 1793, 584, 1845, 1510, 8715, 12935, 941, 11425, 6438, 610, 30704, 14848, 267, 827, 476, 736, 547, 476, 1911, 333, 332, 538, 2450, 269, 18827, 540, 8715, 12935, 547, 519, 1793, 584, 1845, 3361, 606, 2333, 538, 519, 5223, 540, 6676, 6438, 14848, 547, 11425, 6438, 14848, 610, 30704, 14848, 269, 1879, 519, 2597, 540, 8715, 12935, 3773, 729, 3160, 547, 519, 2597, 540, 519, 1793, 25744, 267, 1152, 6676, 6438, 14848, 476, 736, 547, 476, 1220, 333, 332, 538, 2450, 941, 5833, 269, 2473, 11920, 32250, 3270, 540, 20218, 2472, 8612, 602, 519, 7077, 6738, 28729, 729, 519, 910, 30350, 540, 519, 6676, 6438, 14848, 269, 634, 2164, 676, 667, 14011, 6700, 602, 519, 8390, 540, 519, 19916, 666, 581, 11911, 547, 519, 23455, 1632, 540, 8715, 12935, 593, 519, 2627, 540, 519, 22743, 335, 22140, 32485, 519, 12627, 2208, 2059, 513, 1880, 7852, 563, 4322, 616, 10408, 2208, 2934, 602, 2049, 538, 1082, 8652, 31516, 17576, 18429, 602, 786, 1450, 596, 547, 2697, 12303, 782, 540, 519, 8652, 31516, 1920, 540, 4852, 12060, 563, 22134, 549, 31516, 31349, 540, 31626, 302, 24083, 1023, 689, 31626, 18679, 3963, 3442, 938, 6351, 888, 2026, 4166, 607, 649, 723, 6192, 707, 960, 267, 621, 786, 581, 6169, 1348, 543, 2016, 513, 9488, 11571, 585, 17096, 563, 5978, 7218, 262, 2123, 1344, 568, 6854, 14804, 267, 865, 1964, 21407, 602, 1100, 835, 786, 1265, 856, 827, 938, 9316, 563, 2171, 2328, 3388, 689, 15072, 269, 1411, 3513, 581, 2386, 547, 4309, 513, 17096, 6954, 1957, 1169, 942, 596, 1747, 606, 1931, 563, 2171, 786, 2347, 707, 1957, 593, 942, 267, 4758, 596, 2698, 4708, 540, 2247, 609, 1169, 7084, 596, 1303, 6412, 721, 609, 563, 23763, 1945, 4957, 538, 707, 1957, 286, 32369, 607, 1082, 26941, 607, 596, 1616, 2394, 596, 2811, 4625, 13854, 609, 519, 6364, 563, 2171, 2811, 2141, 1934, 547, 948, 596, 4194, 1022, 2009, 3390, 269, 18461, 1863, 547, 2285, 721, 513, 1289, 610, 2328, 513, 5048, 538, 10004, 563, 1692, 621, 1568, 454, 2791, 10505, 707, 1931, 5528, 454, 2171, 3651, 606, 3617, 4274, 454, 763, 4274, 3217, 1416, 540, 707, 4305, 454, 2171, 6494, 621, 547, 596, 2390, 12032, 454, 30182, 2298, 6060, 454, 19285, 723, 2141, 1044, 24330, 676, 519, 2656, 2490, 19925, 543, 707, 9488, 1145, 269, 31418, 1176, 519, 1034, 3318, 1557, 1603, 3028, 593, 519, 1357, 4799, 257, 7312, 6351, 543, 519, 1101, 1362, 3028, 568, 1454, 15874, 269, 3733, 1557, 14509, 865, 1134, 543, 1510, 707, 948, 594, 6415, 2386, 594, 1131, 723, 1044, 6825, 1524, 1586, 593, 8239, 543, 16105, 4799, 257, 12552, 1586, 585, 707, 5140, 960, 609, 1250, 10467, 269, 3143, 22027, 596, 2811, 3020, 4966, 693, 1018, 596, 798, 543, 1360, 3839, 4799, 257, 25802, 3318, 267, 10464, 543, 7874, 3028, 269, 8729, 585, 1603, 1079, 1271, 3594, 585, 803, 267, 594, 9327, 1405, 723, 2854, 621, 8885, 1317, 540, 519, 9395, 21120, 4799, 257, 12552, 585, 707, 18762, 3750, 267, 3007, 547, 1469, 543, 2949, 24077, 3028, 269, 8729, 547, 596, 267, 1631, 594, 993, 8746, 602, 594, 666, 10505, 1250, 2165, 1957, 593, 942, 4799, 257, 14188, 596, 585, 519, 24321, 2969, 960, 596, 723, 2944, 269, 3807, 4941, 547, 2995, 602, 594, 6415, 1360, 6126, 609, 1250, 1557, 543, 786, 1205, 1394, 609, 811, 10467, 4166, 1701, 0, 4504, 1238, 2563, 5037, 609, 5098, 3948, 454, 2304, 4367, 610, 2606, 5037, 568, 519, 1101, 5037, 538, 1022, 3818, 268, 7907, 540, 513, 1434, 5098, 3948, 281, 25644, 5037, 3211, 269, 7442, 1686, 281, 1603, 2606, 5037, 543, 5098, 585, 3594, 519, 2606, 5037, 543, 5098, 3948, 3732, 2243, 281, 547, 1018, 6708, 1705, 519, 3540, 2112, 13822, 513, 4838, 538, 269, 1230, 6984, 5037, 5850, 1557, 3919, 7028, 519, 5098, 3948, 1142, 1560, 5037, 1058, 519, 5098, 585, 606, 4367, 5037, 269, 6153, 5098, 3948, 543, 2606, 5037, 1022, 2875, 945, 9433, 547, 543, 1010, 610, 1200, 1603, 1983, 666, 4324, 689, 713, 2606, 4199, 1775, 6035, 1200, 519, 1434, 269, 19080, 6898, 2097, 2282, 519, 1439, 540, 519, 4367, 519, 5098, 3948, 949, 849, 581, 811, 982, 835, 798, 711, 1331, 606, 3003, 5037, 540, 2055, 269, 6201, 540, 606, 2606, 5037, 609, 513, 5098, 3948, 713, 5098, 602, 3622, 596, 1058, 2119, 547, 2057, 13461, 5097, 2390, 9433, 543, 9382, 799, 3948, 269, 2986, 1576, 267, 31355, 267, 6204, 961, 612, 2606, 9433, 616, 1053, 547, 2328, 2500, 31047, 543, 4351, 5098, 6898, 799, 849, 3357, 269, 589, 5098, 3948, 568, 513, 2582, 4845, 538, 519, 5037, 568, 1644, 547, 707, 5098, 543, 538, 519, 4367, 543, 1560, 9433, 563, 2080, 616, 930, 4388, 543, 1806, 547, 1246, 3483, 540, 519, 5098, 3948, 519, 5098, 3948, 5713, 607, 519, 12180, 6240, 540, 519, 1257, 543, 5526, 538, 519, 2606, 5037, 269, 634, 2034, 4305, 666, 581, 12913, 676, 513, 5402, 18705, 5098, 3948, 2119, 1210, 1079, 610, 1614, 1114, 3270, 585, 707, 2606, 5037, 543, 1294, 269, 5675, 2500, 31047, 519, 5098, 3948, 538, 2852, 1603, 267, 1082, 20485, 786, 2154, 602, 606, 2606, 5037, 1331, 513, 5098, 3948, 269, 901, 30453, 6257, 1018, 513, 5098, 3948, 568, 267, 875, 5098, 6898, 960, 538, 1310, 513, 5618, 4367, 540, 707, 693, 519, 1439, 540, 519, 1101, 5037, 563, 763, 5098, 3948, 568, 519, 4099, 610, 5094, 9433, 666, 4214, 540, 5098, 3948, 9862, 689, 4505, 554, 15071, 2852, 1603, 4099, 269, 901, 4199, 2488, 4388, 585, 2870, 513, 5098, 3948, 543, 1806, 540, 1114, 2010, 540, 5098, 6898, 10950, 693, 519, 1439, 540, 519, 1101, 5037, 540, 513, 269, 1215, 798, 1775, 2328, 513, 1434, 543, 2653, 2606, 14121, 4185, 3948, 585, 513, 2241, 5037, 1557, 563, 12648, 519, 2566, 856, 540, 1603, 513, 5098, 3948, 543, 1491, 5413, 540, 519, 3318, 5098, 2606, 5037, 1560, 5037, 1948, 272, 540, 519, 1560, 5098, 269, 634, 2606, 5037, 1434, 2606, 9433, 3622, 9585, 519, 1482, 4247, 543, 1246, 513, 1906, 2596, 3270, 519, 5098, 3948, 563, 763, 3974, 3948, 4214, 609, 1806, 5098, 3948, 568, 513, 3948, 1500, 693, 519, 1439, 540, 519, 4367, 267, 1310, 519, 4282, 1344, 593, 519, 1888, 269, 14958, 532, 513, 1434, 4367, 543, 5098, 3948, 568, 1419, 519, 23698, 851, 540, 1603, 606, 1557, 2705, 267, 621, 666, 849, 581, 519, 1034, 14785, 1995, 519, 4098, 540, 707, 1957, 568, 707, 269, 5675, 513, 1434, 2606, 5037, 543, 5098, 3948, 3217, 9639, 267, 1382, 543, 513, 18515, 547, 3136, 547, 23590, 707, 5037, 2394, 707, 3948, 543, 5885, 5220, 616, 269, 3367, 519, 1739, 2606, 9433, 2697, 519, 1808, 1966, 609, 519, 5098, 3948, 538, 1142, 5037, 4945, 593, 519, 6609, 540, 519, 1966, 563, 4504, 1238, 2563, 5037, 609, 5098, 3948, 454, 1692, 547, 2328, 513, 5098, 3948, 596, 1533, 707, 5098, 693, 519, 4098, 267, 2356, 693, 519, 1439, 540, 519, 2606, 5037, 596, 1964, 622, 707, 5098, 269, 1284, 3513, 1413, 693, 519, 2956, 540, 519, 2606, 5037, 543, 2502, 707, 5304, 1557, 4367, 281, 2328, 513, 5098, 543, 7001, 519, 5098, 3948, 563, 268, 24225, 476, 272, 815, 4367, 1299, 5098, 3948, 281, 946, 519, 1739, 2497, 547, 1711, 513, 1888, 4845, 7291, 585, 519, 3919, 540, 707, 2947, 5037, 1557, 563, 268, 1215, 519, 5098, 13352, 538, 519, 2606, 5037, 519, 5098, 3948, 568, 519, 689, 1686, 476, 1911, 693, 7013, 1007, 8423, 23137, 6280, 563, 268, 4828, 31047, 2328, 606, 4367, 602, 1888, 538, 707, 5098, 3948, 519, 4367, 814, 519, 4367, 568, 2356, 1175, 835, 5037, 563, 268, 901, 32029, 6212, 593, 875, 547, 4020, 2606, 5037, 267, 543, 1287, 875, 547, 1118, 5098, 3948, 811, 6209, 563, 4504, 549, 9433, 1299, 5098, 6898, 606, 4081, 1603, 13186, 16432, 676, 519, 4081, 1489, 4099, 1299, 519, 513, 2178, 2606, 5037, 5036, 519, 269, 1215, 547, 2328, 606, 4367, 713, 2534, 2337, 1053, 1020, 513, 2178, 5098, 3948, 585, 741, 3594, 676, 3246, 2259, 1603, 3732, 6898, 269, 20668, 540, 606, 2606, 5037, 519, 2606, 5037, 814, 1614, 1898, 2694, 281, 2796, 267, 5912, 267, 543, 5098, 2796, 281, 538, 707, 2606, 5037, 267, 596, 616, 2469, 547, 2285, 930, 269, 9701, 1291, 883, 513, 1808, 610, 1292, 1888, 267, 1634, 607, 519, 5098, 3948, 519, 5098, 3948, 1058, 581, 519, 2063, 4845, 540, 519, 4367, 5037, 519, 1826, 540, 5098, 3948, 1031, 538, 269, 0, 288, 14229, 324, 2763, 568, 513, 6727, 267, 3196, 995, 267, 29252, 16802, 540, 2011, 998, 519, 9224, 543, 5023, 563, 306, 928, 22689, 568, 3361, 676, 16698, 547, 519, 29935, 17011, 540, 519, 9224, 610, 11563, 269, 898, 666, 581, 1360, 21898, 16341, 267, 855, 568, 10355, 513, 1129, 540, 513, 3978, 1966, 563, 306, 928, 22689, 666, 581, 1813, 547, 912, 22879, 532, 4598, 547, 519, 6784, 523, 568, 519, 1655, 1259, 547, 1852, 32125, 3361, 676, 11959, 269, 1323, 6784, 523, 568, 1945, 602, 3123, 606, 13027, 5114, 563, 19522, 547, 2569, 707, 4598, 912, 1103, 930, 2665, 267, 596, 949, 991, 547, 1847, 856, 540, 513, 1753, 609, 513, 9044, 838, 648, 1966, 563, 306, 928, 22689, 602, 568, 711, 1813, 547, 606, 14711, 786, 14897, 950, 519, 4576, 602, 568, 4929, 621, 568, 23174, 610, 5701, 563, 24445, 707, 1072, 1416, 8502, 952, 32125, 568, 7133, 707, 1272, 543, 1753, 14319, 798, 711, 960, 563, 7312, 8502, 786, 1685, 513, 2168, 981, 543, 1413, 693, 707, 9224, 543, 11563, 269, 1411, 3513, 581, 4280, 827, 707, 2564, 1686, 543, 2589, 269, 5999, 949, 1331, 950, 519, 32125, 3323, 267, 2436, 596, 723, 824, 2589, 267, 610, 952, 596, 723, 11959, 563, 1103, 930, 2665, 267, 14711, 4152, 949, 581, 2877, 547, 1265, 519, 2014, 563, 7312, 8502, 786, 2303, 5574, 543, 6197, 2242, 585, 18720, 8611, 2589, 563, 18800, 539, 1635, 281, 27692, 808, 269, 966, 528, 341, 1157, 267, 11022, 267, 6481, 10615, 543, 10615, 540, 9894, 12519, 15099, 267, 32212, 13052, 19566, 10406, 540, 4284, 6509, 19608, 5525, 267, 4972, 540, 7731, 6925, 267, 772, 310, 6925, 267, 3427, 540, 6925, 267, 2160, 540, 6115, 267, 22208, 267, 26146, 269, 4746, 12649, 676, 6424, 2098, 10079, 267, 11022, 267, 631, 11190, 267, 1772, 5055, 29142, 559, 341, 773, 267, 12854, 267, 543, 519, 589, 6185, 6993, 8160, 269, 32000, 2319, 269, 0, 2791, 786, 991, 547, 946, 519, 19315, 7825, 2678, 607, 606, 19315, 31461, 543, 711, 607, 513, 15364, 2638, 518, 585, 519, 1985, 1900, 538, 519, 5650, 269, 1411, 786, 1616, 547, 946, 519, 9803, 19315, 332, 4336, 707, 11281, 3091, 267, 607, 519, 6093, 23090, 4187, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1296, 540, 3395, 909, 269, 9453, 713, 1582, 15696, 731, 267, 649, 1745, 1507, 543, 2079, 27303, 267, 543, 13712, 1557, 1837, 1586, 649, 3111, 547, 540, 21473, 30241, 28019, 3594, 267, 1831, 782, 602, 649, 666, 581, 2336, 12024, 16549, 869, 267, 29124, 11099, 602, 267, 952, 2451, 547, 741, 1378, 3457, 267, 2831, 786, 4043, 547, 3548, 543, 5539, 1557, 4235, 1919, 602, 616, 1434, 585, 873, 267, 543, 2079, 540, 21473, 30241, 28019, 8532, 873, 538, 547, 2486, 7059, 17114, 269, 9040, 625, 267, 1932, 267, 3100, 547, 1616, 543, 899, 1018, 789, 991, 269, 2368, 3602, 2059, 519, 1899, 267, 2705, 267, 649, 723, 2813, 606, 1604, 585, 6000, 602, 568, 3648, 1114, 689, 519, 835, 538, 799, 649, 7960, 269, 769, 713, 1007, 1604, 616, 971, 1919, 607, 15568, 4006, 267, 7912, 267, 7423, 267, 10217, 267, 543, 865, 593, 267, 602, 938, 11937, 538, 4000, 2760, 6785, 269, 1452, 1919, 723, 10366, 602, 9029, 547, 938, 11248, 545, 3024, 532, 4534, 2943, 798, 711, 4196, 938, 4890, 1436, 1134, 269, 3683, 6634, 540, 1296, 267, 649, 949, 11457, 547, 1265, 2156, 3712, 2993, 811, 17598, 982, 29380, 1815, 820, 4534, 855, 676, 1287, 267, 621, 3580, 581, 1259, 1932, 3735, 585, 596, 543, 803, 269, 3776, 2486, 849, 5012, 721, 4230, 2001, 609, 2175, 540, 4502, 1547, 32365, 256, 1306, 649, 1332, 909, 267, 938, 3237, 267, 3610, 267, 9905, 267, 519, 2923, 267, 543, 1866, 267, 1152, 2285, 721, 1018, 649, 991, 950, 649, 1397, 649, 616, 968, 18976, 2223, 2864, 982, 1175, 1317, 649, 991, 621, 269, 1284, 1205, 513, 4235, 950, 649, 9096, 938, 1362, 267, 649, 1205, 1945, 6653, 950, 649, 9096, 938, 5388, 267, 543, 1034, 11932, 267, 649, 1205, 2648, 543, 15754, 952, 543, 1152, 952, 649, 968, 2041, 17647, 17373, 15775, 2318, 2543, 593, 968, 517, 2783, 892, 29124, 7125, 19585, 2318, 2543, 1547, 10749, 256, 5221, 649, 798, 8197, 991, 2318, 2543, 267, 891, 2175, 616, 1360, 3532, 267, 543, 649, 18846, 6000, 883, 2079, 540, 21473, 30241, 3594, 513, 3337, 5462, 267, 711, 676, 938, 11248, 545, 3024, 532, 610, 938, 4890, 1944, 12402, 267, 855, 676, 3594, 513, 2486, 602, 949, 610, 949, 711, 5963, 723, 938, 1655, 4690, 693, 2295, 269, 589, 968, 16591, 2370, 7911, 610, 8004, 892, 949, 711, 581, 513, 2635, 610, 6126, 7911, 610, 8004, 256, 3683, 942, 267, 713, 968, 935, 1288, 532, 892, 5012, 721, 547, 723, 19585, 2318, 1582, 15696, 731, 607, 1134, 563, 2171, 2253, 547, 540, 21473, 30241, 28019, 3594, 267, 899, 6000, 1152, 952, 649, 2743, 909, 609, 519, 4441, 1866, 723, 4294, 547, 721, 267, 2864, 982, 952, 649, 616, 5963, 4890, 1944, 938, 30372, 269, 1656, 2094, 891, 4441, 941, 2813, 1510, 5329, 1142, 1367, 538, 2247, 267, 811, 1419, 982, 711, 649, 1265, 6000, 8572, 547, 2542, 4640, 267, 2743, 873, 267, 543, 4061, 8572, 547, 2226, 1022, 2631, 540, 1582, 12635, 269, 634, 2460, 540, 707, 1373, 602, 568, 8547, 538, 519, 4890, 1944, 12402, 267, 5205, 11248, 545, 3024, 532, 267, 2115, 543, 11392, 2318, 2543, 543, 1582, 15696, 731, 267, 29124, 7125, 519, 2079, 540, 21473, 30241, 28019, 3594, 1483, 1582, 1547, 898, 568, 519, 968, 9767, 892, 602, 267, 952, 782, 4422, 1134, 267, 596, 786, 1831, 269, 2201, 519, 824, 1688, 267, 547, 519, 6708, 602, 938, 2486, 568, 856, 540, 8223, 2542, 4640, 5348, 577, 609, 519, 4890, 1944, 12402, 267, 543, 649, 616, 7142, 547, 2661, 609, 2175, 540, 4502, 602, 616, 856, 540, 1900, 609, 11248, 545, 3024, 532, 267, 543, 28019, 4309, 1152, 547, 2486, 1557, 267, 19585, 2318, 2543, 543, 3594, 1582, 15696, 731, 267, 649, 1020, 3079, 606, 4998, 1582, 1547, 1635, 4998, 267, 29124, 568, 11021, 1945, 711, 1483, 267, 1945, 602, 568, 2141, 856, 540, 938, 3914, 267, 519, 3044, 649, 666, 1406, 2743, 269, 901, 7934, 1063, 519, 1483, 1582, 543, 2250, 519, 4998, 1582, 267, 519, 968, 296, 993, 892, 543, 519, 968, 296, 1058, 892, 568, 1572, 1651, 784, 745, 640, 1547, 10749, 256, 634, 3152, 519, 13712, 7934, 267, 519, 811, 1651, 784, 745, 640, 269, 5811, 32365, 10749, 256, 634, 811, 1651, 784, 745, 640, 267, 519, 811, 7092, 563, 1103, 1249, 267, 1651, 784, 745, 640, 568, 9247, 1018, 29124, 1797, 676, 5778, 3974, 2433, 9861, 856, 540, 5348, 577, 609, 707, 1378, 1582, 269, 1403, 713, 782, 4992, 5432, 547, 596, 267, 621, 568, 10502, 519, 1482, 1448, 1500, 676, 27239, 9710, 2284, 256, 1879, 596, 616, 538, 1557, 513, 3510, 1141, 972, 568, 606, 1651, 784, 745, 640, 1063, 707, 3239, 540, 3054, 543, 707, 7525, 1995, 540, 3054, 630, 328, 4318, 269, 1063, 519, 4998, 543, 519, 1483, 1582, 1070, 596, 616, 538, 2079, 540, 21473, 30241, 28019, 513, 17116, 3510, 1547, 1280, 1383, 267, 952, 596, 723, 1044, 6026, 547, 1745, 7938, 20564, 952, 596, 798, 711, 1205, 589, 781, 593, 782, 707, 4255, 267, 543, 2943, 596, 5749, 1405, 2731, 782, 602, 1390, 513, 2875, 267, 1287, 3871, 971, 607, 4255, 616, 2469, 547, 1557, 267, 3142, 602, 1651, 784, 745, 640, 547, 1769, 4534, 4255, 786, 581, 1360, 17116, 269, 1879, 596, 616, 24584, 513, 17116, 3510, 267, 596, 786, 1745, 4160, 1547, 17520, 568, 513, 5365, 10834, 602, 972, 568, 8373, 6619, 267, 602, 596, 1058, 2057, 519, 3510, 256, 2290, 1259, 547, 2057, 519, 28019, 3510, 267, 540, 1576, 267, 568, 547, 4584, 3054, 909, 543, 2196, 585, 519, 15113, 269, 4595, 602, 568, 711, 2356, 606, 4781, 538, 7526, 1272, 267, 3079, 540, 4881, 9308, 267, 649, 2196, 2618, 10999, 267, 676, 2079, 28019, 3594, 1210, 23640, 1547, 29124, 262, 2856, 540, 23640, 568, 1360, 2147, 547, 22506, 781, 267, 4849, 602, 29124, 15109, 3388, 689, 1557, 21258, 821, 7526, 513, 829, 24632, 1448, 6361, 268, 1613, 267, 865, 602, 1256, 8823, 543, 25372, 616, 2219, 540, 607, 11994, 269, 5811, 32365, 10749, 256, 18641, 585, 1557, 267, 721, 267, 646, 814, 1152, 2079, 28019, 267, 1079, 23640, 281, 24677, 543, 829, 24632, 23673, 563, 291, 523, 658, 1797, 1360, 1454, 1018, 621, 1281, 538, 22506, 781, 1062, 281, 1411, 3625, 856, 519, 17116, 3510, 15587, 269, 1323, 1383, 1522, 581, 519, 1268, 945, 2760, 26717, 909, 1010, 1449, 610, 12134, 827, 1449, 2164, 267, 865, 646, 3085, 1405, 723, 547, 3068, 4057, 9344, 630, 520, 2547, 585, 1631, 32656, 9324, 658, 585, 4574, 267, 29124, 1281, 849, 1331, 1018, 22506, 1572, 1065, 1833, 281, 1403, 5329, 513, 3965, 610, 606, 20949, 856, 540, 707, 4656, 4534, 20549, 547, 13498, 621, 4534, 596, 949, 581, 2111, 547, 2057, 630, 28785, 267, 585, 1631, 14386, 513, 17116, 3510, 269, 3131, 24632, 23673, 568, 2079, 540, 21473, 30241, 267, 513, 2339, 540, 5368, 614, 31147, 519, 3510, 865, 602, 621, 5526, 1447, 17116, 269, 8262, 27932, 256, 898, 568, 2079, 540, 21473, 30241, 267, 1360, 2147, 547, 22506, 781, 7787, 1436, 269, 589, 2875, 602, 568, 12219, 676, 4255, 543, 9344, 949, 267, 585, 1383, 267, 16620, 519, 7548, 585, 4057, 3450, 267, 8945, 2055, 267, 3983, 10182, 267, 610, 8726, 269, 634, 1249, 602, 3006, 20485, 616, 4057, 3610, 267, 2328, 8945, 2055, 267, 543, 723, 3983, 8456, 1152, 2306, 519, 23673, 960, 1732, 281, 1403, 621, 1223, 581, 3020, 267, 1287, 6148, 621, 2731, 729, 3020, 256, 898, 666, 849, 581, 1454, 811, 15069, 829, 24632, 267, 971, 607, 950, 519, 5539, 1268, 3765, 1348, 338, 1010, 3446, 607, 1732, 982, 621, 568, 563, 19013, 585, 519, 4057, 5778, 6776, 630, 663, 267, 538, 1249, 267, 1034, 540, 721, 1070, 1169, 942, 646, 610, 1352, 3096, 513, 8878, 267, 789, 2322, 513, 3152, 3845, 1063, 519, 1483, 543, 519, 4998, 269, 1358, 1831, 2479, 811, 1651, 784, 745, 748, 267, 543, 1265, 2933, 538, 811, 543, 811, 17116, 3871, 267, 1020, 3152, 543, 3152, 2157, 540, 4160, 267, 543, 946, 811, 543, 811, 23640, 269, 898, 3587, 513, 30380, 4783, 602, 519, 1268, 5555, 568, 8572, 547, 1205, 856, 3594, 267, 540, 267, 693, 2547, 593, 741, 1378, 269, 29124, 849, 814, 513, 9864, 7778, 585, 2618, 2670, 2433, 5369, 2670, 4386, 950, 513, 1268, 781, 8878, 616, 16397, 267, 543, 543, 512, 1575, 659, 741, 2631, 540, 1582, 3587, 695, 13593, 883, 2370, 30890, 4773, 269, 3571, 2623, 11338, 814, 2370, 11007, 547, 540, 21473, 30241, 28019, 3594, 267, 621, 269, 4828, 3245, 256, 1284, 1294, 1864, 607, 2348, 2618, 5328, 9397, 4534, 14501, 540, 3594, 29737, 2623, 269, 3571, 1913, 949, 1118, 2370, 2631, 563, 14367, 4664, 949, 581, 20025, 269, 1261, 949, 6336, 519, 2702, 547, 16174, 1582, 543, 1875, 268, 1345, 267, 543, 1831, 771, 528, 14314, 543, 12809, 269, 634, 4628, 1922, 4233, 532, 1268, 269, 29124, 267, 899, 16549, 869, 267, 568, 1175, 607, 5461, 538, 10503, 519, 2635, 1268, 269, 3571, 2165, 568, 4628, 1922, 4233, 532, 267, 543, 3322, 519, 1557, 21258, 821, 2101, 1739, 7907, 281, 476, 272, 269, 2986, 14731, 32365, 256, 7046, 1145, 547, 1995, 1547, 901, 568, 519, 6587, 540, 1219, 839, 4369, 563, 2005, 568, 519, 4977, 8226, 540, 21258, 821, 7526, 835, 781, 2833, 538, 519, 1158, 267, 1519, 835, 781, 4606, 269, 898, 849, 1797, 1373, 2111, 547, 3398, 4641, 267, 1586, 1519, 835, 781, 4606, 269, 18461, 902, 616, 971, 606, 1271, 851, 540, 22371, 1317, 789, 6655, 11248, 545, 3024, 532, 269, 1403, 596, 3112, 581, 1930, 547, 707, 4606, 267, 596, 3112, 581, 1930, 547, 1035, 783, 1436, 269, 634, 2182, 851, 267, 540, 1576, 267, 568, 23243, 1483, 4606, 689, 519, 32370, 4547, 593, 676, 2175, 540, 4502, 269, 476, 273, 269, 1401, 626, 1113, 2713, 1547, 901, 568, 2713, 538, 519, 1934, 7146, 268, 852, 269, 29124, 267, 607, 513, 851, 540, 3478, 538, 3594, 5905, 609, 4641, 267, 1202, 1235, 602, 649, 711, 2661, 538, 519, 2250, 610, 519, 2104, 4534, 519, 835, 568, 2542, 4640, 267, 8854, 267, 543, 3594, 519, 824, 3884, 1405, 4376, 693, 782, 267, 2943, 2336, 763, 1459, 568, 519, 1152, 4641, 649, 723, 269, 9650, 596, 267, 602, 3085, 1405, 1611, 649, 12582, 1405, 3314, 543, 1451, 689, 21258, 821, 2101, 7526, 938, 2250, 269, 26681, 1281, 621, 1611, 649, 12582, 1405, 1544, 610, 1256, 1554, 1673, 3195, 827, 519, 2104, 269, 3807, 5431, 891, 1919, 585, 2079, 540, 21473, 30241, 3594, 267, 1018, 789, 616, 281, 8823, 543, 9909, 267, 799, 649, 616, 7680, 1934, 538, 519, 1459, 269, 476, 274, 269, 5029, 1143, 545, 3972, 532, 1547, 1284, 1058, 1450, 6000, 547, 581, 11461, 676, 1557, 519, 11248, 545, 3024, 532, 1184, 269, 1284, 1058, 3972, 6000, 267, 798, 1018, 7959, 1318, 267, 1018, 2501, 2067, 269, 5811, 10749, 256, 901, 267, 607, 594, 6415, 2386, 596, 8275, 267, 814, 1831, 513, 2101, 23578, 1448, 538, 29124, 262, 3069, 563, 10144, 2161, 267, 2386, 267, 798, 1018, 2501, 2067, 4534, 952, 596, 616, 513, 8909, 626, 267, 10413, 1004, 282, 952, 596, 616, 513, 11792, 5255, 626, 267, 10413, 3054, 282, 952, 519, 5061, 610, 4568, 1118, 596, 6126, 267, 979, 585, 621, 282, 952, 596, 616, 20158, 267, 6146, 3054, 269, 901, 6157, 3085, 1405, 3280, 899, 1390, 5796, 269, 769, 1249, 267, 1082, 540, 519, 5098, 4430, 525, 540, 519, 13683, 625, 543, 11157, 625, 941, 30199, 593, 713, 10182, 269, 1809, 1832, 538, 540, 21473, 30241, 2247, 602, 29124, 5921, 3972, 707, 1483, 1582, 267, 543, 596, 666, 1152, 917, 1018, 707, 1483, 1582, 814, 547, 2161, 952, 596, 616, 1930, 547, 1995, 543, 2250, 4574, 2713, 16650, 569, 256, 769, 824, 1913, 267, 11248, 545, 3972, 532, 17648, 596, 616, 538, 3346, 609, 519, 1035, 583, 531, 1944, 12402, 563, 275, 269, 5438, 21377, 5191, 1547, 2986, 14731, 10749, 256, 29124, 5433, 602, 621, 729, 13061, 2436, 610, 711, 1004, 2731, 1185, 1863, 786, 269, 11683, 4762, 26555, 256, 1284, 1745, 1360, 1454, 607, 952, 649, 798, 269, 901, 568, 711, 547, 2161, 267, 540, 1576, 267, 602, 649, 616, 1863, 547, 798, 4376, 693, 782, 281, 1284, 616, 11303, 676, 513, 15002, 2065, 7122, 267, 865, 602, 267, 1166, 777, 1250, 7916, 607, 1454, 607, 594, 899, 267, 594, 786, 711, 8038, 899, 8111, 2006, 269, 898, 1797, 602, 649, 1745, 1863, 950, 5079, 616, 2139 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20720, 24062, 267, 910, 271, 269, 26289, 25228, 2568, 276, 276, 1626, 279, 7597, 2568, 278, 16689, 1038, 1496, 1240, 269, 31798, 4281, 275, 30420, 276, 4029, 23841, 267, 476, 272, 269, 1911, 4510, 278, 277, 2537, 276, 4343, 20969, 274, 16689, 1038, 1496, 2918, 269, 11740, 6245, 5611, 4510, 272, 31003, 267, 910, 271, 269, 25002, 279, 3607, 4343, 276, 5392, 277, 275, 1626, 274, 16689, 1038, 1496, 271, 269, 9873, 26482, 3374, 280, 271, 5780, 4366, 277, 3953, 267, 476, 271, 269, 271, 6246, 31172, 280, 4510, 4817, 274, 31275, 3393, 16689, 1038, 1496, 736, 269, 275, 4375, 6507, 272, 14695, 4281, 272, 3607, 267, 476, 271, 269, 5400, 278, 3393, 278, 5038, 280, 5379, 274, 25851, 1428, 16689, 1038, 1496, 271, 269, 1822, 29720, 271, 3393, 6321, 274, 280, 5952, 5908, 267, 476, 271, 269, 6187, 272, 4343, 274, 23417, 280, 1789, 9340, 4905, 16689, 1038, 1496, 3953, 269, 14341, 280, 4792, 278, 4281, 4962, 280, 10037, 267, 910, 271, 269, 279, 866, 5881, 280, 4817, 277, 1822, 6021, 275, 280, 27663, 825, 1535, 12296, 815, 703, 32384, 3287, 9984, 2381, 3287, 4917, 825, 1535, 332, 1173, 514, 815, 630, 343, 12296, 1341, 476, 272, 264, 2608, 476, 271, 269, 272, 454, 825, 1535, 2381, 815, 1295, 3287, 264, 910, 1535, 332, 1173, 514, 454, 825, 1535, 10946, 815, 3193, 3287, 264, 1341, 1535, 332, 1173, 514, 454, 825, 586, 19417, 815, 703, 32384, 12169, 9984, 2381, 12169, 4917, 825, 586, 332, 1173, 514, 815, 586, 19417, 2608, 476, 271, 269, 4962, 454, 825, 586, 2381, 815, 1295, 12169, 264, 910, 586, 332, 1173, 514, 454, 825, 586, 10946, 815, 3193, 12169, 264, 1341, 586, 332, 1173, 514, 454, 825, 12301, 269, 9471, 8443, 343, 2381, 267, 1535, 10946, 267, 586, 2381, 267, 586, 10946, 7481, 825, 1535, 1467, 815, 1496, 328, 585, 1775, 538, 2039, 8987, 273, 267, 703, 263, 274, 20080, 10946, 4297, 2639, 825, 586, 1467, 815, 1496, 3495, 265, 1492, 339, 553, 314, 857, 6012, 272, 27994, 1492, 339, 553, 314, 857, 6012, 271, 316, 585, 1535, 328, 538, 1535, 1467, 2639, 825, 12301, 19502, 3287, 1467, 267, 586, 1467, 267, 1412, 337, 268, 5073, 825, 12301, 31892, 2660, 3287, 267, 586, 267, 13672, 284, 271, 269, 276, 994, 825, 12301, 26644, 263, 3712, 338, 314, 857, 7481, 825, 12301, 11859, 16932, 263, 3712, 338, 314, 857, 7481, 825, 12301, 269, 29786, 263, 3712, 338, 314, 15893, 15058, 22674, 8435, 268, 272, 7481, 825, 12301, 20481, 4590, 8931, 672, 692, 7531, 0, 257, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 26553, 21057, 12641, 574, 6883, 3613, 4202, 270, 4840, 257, 12041, 2433, 32599, 617, 784, 14576, 257, 3097, 257, 14630, 2433, 476, 1001, 280, 268, 4962, 268, 1240, 5016, 12163, 4002, 513, 25047, 13826, 267, 519, 1775, 6253, 1900, 814, 930, 1875, 24308, 1942, 1942, 5157, 316, 8655, 630, 271, 4994, 539, 6393, 5629, 596, 2628, 519, 1942, 267, 596, 666, 2901, 18214, 835, 610, 1079, 3268, 269, 1411, 991, 547, 1265, 5934, 1942, 547, 3914, 519, 1283, 540, 519, 6989, 267, 543, 596, 666, 2901, 1376, 689, 519, 1900, 609, 4994, 476, 271, 267, 610, 519, 1900, 609, 4994, 476, 272, 780, 7078, 476, 272, 912, 825, 18452, 281, 1942, 815, 1496, 1015, 267, 476, 1428, 267, 476, 736, 2639, 825, 19243, 281, 476, 1428, 454, 825, 19247, 281, 4258, 777, 652, 568, 1376, 593, 1942, 314, 272, 3910, 2628, 602, 1942, 543, 979, 547, 519, 1283, 563, 7078, 476, 273, 912, 825, 18452, 281, 1942, 815, 1496, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 2639, 825, 19243, 281, 476, 277, 454, 825, 19247, 281, 4258, 777, 652, 568, 1376, 593, 1942, 314, 271, 3910, 543, 1152, 1900, 593, 476, 272, 338, 267, 1236, 6235, 1942, 314, 274, 14073, 20701, 5035, 8827, 24998, 2187, 825, 1219, 1295, 21798, 290, 3916, 6883, 1805, 4202, 4311, 267, 1942, 2187, 1038, 8173, 1038, 2433, 6943, 1942, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 13872, 1038, 3259, 815, 7003, 6262, 739, 994, 1038, 31185, 815, 1496, 271, 585, 1775, 538, 2039, 10857, 2654, 22708, 13872, 1038, 31185, 314, 271, 316, 815, 1942, 314, 271, 2639, 1038, 31185, 314, 272, 316, 815, 1942, 314, 272, 2639, 13872, 1038, 585, 1775, 538, 2039, 263, 273, 267, 3259, 2187, 2018, 31185, 5157, 316, 815, 1295, 5560, 335, 5157, 910, 476, 272, 3910, 31185, 5157, 910, 476, 273, 8079, 1341, 1942, 5157, 2639, 27030, 1038, 2132, 1295, 5560, 335, 314, 26319, 910, 476, 272, 3910, 31185, 314, 26319, 910, 476, 273, 20285, 810, 815, 8827, 10797, 322, 739, 815, 1496, 1015, 267, 476, 1428, 267, 476, 736, 2639, 322, 739, 272, 815, 1496, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 267, 476, 272, 267, 476, 1911, 267, 476, 272, 6540, 2745, 834, 2381, 21798, 290, 3916, 6883, 1805, 4202, 815, 4939, 323, 257, 4939, 865, 269, 2381, 21798, 290, 3916, 6883, 1805, 4202, 6262, 739, 994, 2745, 834, 2381, 21798, 290, 3916, 6883, 1805, 4202, 815, 4939, 323, 257, 4939, 865, 269, 2381, 21798, 290, 3916, 6883, 1805, 4202, 6262, 739, 272, 9239, 0, 5814, 5569, 454, 5814, 4351, 454, 5814, 11580, 454, 5814, 942, 454, 5814, 795, 5459, 692, 258, 14611, 1599, 585, 10451, 18538, 454, 3698, 10426, 5320, 17653, 1807, 4433, 19885, 641, 267, 24393, 18045, 267, 21745, 1388, 18045, 29679, 2133, 18045, 2187, 825, 1948, 290, 516, 566, 540, 13598, 4632, 454, 825, 1820, 2891, 27879, 5320, 11718, 1630, 7627, 909, 5602, 825, 1775, 815, 476, 271, 454, 825, 1883, 815, 834, 10139, 5320, 4840, 825, 3803, 7272, 817, 6919, 815, 11713, 825, 10710, 7272, 817, 5320, 815, 2715, 7684, 454, 825, 10710, 7272, 817, 5320, 15630, 29239, 31107, 267, 314, 7481, 825, 1710, 7272, 817, 815, 1412, 7055, 672, 1948, 10267, 4242, 952, 519, 2450, 540, 519, 18538, 952, 1447, 610, 3160, 547, 476, 5038, 454, 825, 942, 4732, 2748, 263, 272, 994, 825, 1820, 2891, 17653, 908, 18538, 5602, 825, 942, 4732, 2748, 263, 272, 994, 825, 952, 4433, 10922, 476, 5038, 2187, 1038, 1247, 1775, 2999, 562, 641, 912, 2018, 585, 795, 538, 2039, 4433, 2187, 7386, 10443, 7272, 817, 5320, 815, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 269, 30913, 328, 318, 24393, 264, 585, 1775, 538, 2039, 263, 24393, 18045, 4917, 7386, 10443, 7272, 817, 5320, 6834, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 6155, 580, 1080, 264, 585, 1775, 538, 2039, 5560, 580, 1388, 18045, 4917, 7386, 10443, 7272, 817, 5320, 6834, 1412, 8339, 21860, 263, 572, 29290, 26716, 4069, 30415, 4877, 9417, 6672, 264, 585, 1775, 538, 2039, 4433, 2133, 18045, 4917, 7386, 1948, 10426, 6919, 616, 6383, 543, 6740, 538, 513, 1592, 454, 7386, 1699, 7272, 817, 815, 1592, 263, 3757, 7272, 817, 5320, 994, 7386, 4351, 11075, 28984, 263, 9690, 7272, 817, 994, 7386, 1710, 7272, 817, 815, 1412, 8339, 21860, 263, 9690, 7272, 817, 994, 2018, 3803, 7272, 817, 6919, 6910, 6600, 514, 7272, 817, 994, 2018, 942, 4732, 2748, 263, 271, 269, 4962, 994, 2018, 1820, 2891, 7312, 10957, 314, 2580, 328, 2437, 316, 2580, 834, 529, 281, 257, 2073, 1710, 7272, 817, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 1948, 10267, 4242, 519, 7003, 724, 339, 540, 519, 6740, 18538, 1592, 454, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 952, 7003, 6600, 1400, 7272, 817, 6919, 264, 2652, 476, 271, 912, 2018, 1820, 2891, 2467, 616, 1100, 6383, 18538, 32405, 2018, 2132, 454, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 4688, 815, 630, 842, 7565, 6358, 2891, 7617, 10957, 798, 596, 1616, 547, 4688, 263, 271, 910, 2450, 540, 519, 10957, 1592, 269, 1422, 333, 13911, 538, 513, 1297, 2362, 610, 3160, 547, 519, 10957, 1592, 547, 4688, 782, 540, 873, 21663, 27328, 1038, 952, 4688, 13843, 7003, 6600, 1400, 7272, 817, 6919, 2187, 2018, 1820, 2891, 306, 3058, 707, 18538, 5602, 1038, 3116, 912, 2018, 1820, 2891, 306, 3058, 707, 10957, 5602, 1038, 942, 4732, 2748, 263, 271, 269, 276, 994, 1038, 952, 4433, 1511, 13843, 7003, 6600, 1400, 7272, 817, 6919, 15892, 2018, 585, 586, 538, 2039, 12759, 6600, 1400, 7272, 817, 6919, 15892, 3546, 10710, 7272, 817, 5320, 314, 4486, 4940, 6572, 6600, 1400, 7272, 817, 6919, 314, 344, 7481, 1038, 3116, 912, 2018, 10710, 7272, 817, 5320, 314, 4486, 4940, 6572, 6600, 1400, 7272, 817, 6919, 314, 338, 1511, 7481, 1038, 1948, 2745, 4433, 8491, 7272, 817, 5320, 994, 1038, 795, 5459, 318, 15953, 815, 795, 5459, 6155, 7927, 4433, 8491, 7272, 817, 5320, 29679, 677, 318, 12399, 18989, 267, 839, 675, 318, 30913, 328, 25716, 267, 785, 550, 284, 275, 994, 1038, 609, 1930, 2891, 10139, 6919, 6155, 520, 14824, 342, 8442, 607, 856, 12803, 912, 2018, 856, 12803, 22182, 27203, 5459, 318, 15953, 994, 1038, 942, 4732, 2748, 263, 271, 269, 272, 994, 1038, 1820, 2891, 306, 3058, 6192, 15419, 825, 3116, 912, 1038, 1820, 2891, 763, 1297, 2450, 568, 2362, 982, 476, 5038, 5602, 1038, 2132, 7531, 3698, 2638, 10420, 3030, 1125, 4433, 267, 577, 1513, 2187, 825, 952, 263, 577, 1513, 3436, 521, 2187, 1038, 1820, 2891, 734, 310, 27073, 5058, 281, 519, 1915, 1293, 568, 2362, 982, 519, 2450, 540, 519, 18538, 256, 634, 1982, 786, 711, 5352, 18538, 952, 596, 3136, 734, 257, 9239, 21653, 815, 703, 9272, 2891, 11767, 513, 10957, 2450, 1297, 32384, 476, 5038, 2567, 27328, 15893, 15058, 7272, 817, 815, 703, 9272, 2891, 11767, 875, 1082, 18538, 798, 596, 1616, 547, 5352, 281, 27328, 30726, 18045, 815, 476, 271, 454, 15893, 15058, 318, 2280, 815, 703, 9272, 2891, 11767, 875, 1082, 3197, 596, 1616, 547, 723, 281, 27328, 5503, 4732, 2748, 263, 271, 269, 276, 994, 30726, 18045, 6834, 1297, 15058, 318, 2280, 454, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 13765, 10420, 3030, 1125, 4433, 1125, 267, 30726, 18045, 994, 15893, 15058, 5091, 580, 815, 703, 9272, 2891, 11767, 875, 1082, 9704, 596, 1616, 547, 723, 281, 27328, 5503, 4732, 2748, 263, 271, 269, 276, 994, 30726, 18045, 6834, 1297, 15058, 5091, 580, 454, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 13765, 10420, 3030, 1125, 4433, 1125, 267, 30726, 18045, 994, 5503, 4732, 2748, 263, 271, 269, 276, 994, 15893, 15058, 5334, 2133, 338, 815, 703, 9272, 2891, 11767, 875, 1082, 2027, 3197, 596, 1616, 547, 723, 281, 27328, 30726, 18045, 6834, 1297, 15058, 5334, 2133, 338, 454, 5503, 4732, 2748, 263, 271, 269, 276, 994, 2745, 2891, 14483, 1915, 1293, 568, 281, 14307, 1915, 18045, 994, 5503, 4732, 2748, 263, 271, 269, 276, 994, 2745, 2891, 10267, 9535, 952, 3388, 568, 620, 2431, 907, 23528, 5503, 4732, 2748, 263, 273, 994, 604, 263, 30726, 18045, 3436, 2450, 2187, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 1820, 2891, 763, 1915, 1293, 568, 2362, 982, 519, 10957, 2450, 32405, 12828, 912, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 1820, 2891, 31819, 568, 5386, 5602, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 10426, 5320, 17653, 1807, 4433, 1125, 267, 1297, 15058, 7272, 817, 267, 1297, 15058, 318, 2280, 267, 15893, 15058, 5091, 580, 2073, 1297, 15058, 5334, 2133, 338, 994, 5503, 4732, 2748, 263, 272, 994, 2745, 2891, 17653, 1807, 9505, 1154, 1524, 32405, 1410, 527, 815, 3403, 2891, 18208, 1022, 1883, 547, 14827, 519, 3498, 8442 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5814, 2979, 454, 333, 815, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 562, 281, 27328, 343, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 1535, 281, 27328, 329, 815, 703, 454, 330, 815, 10581, 454, 604, 2979, 8807, 11274, 3287, 264, 283, 272, 912, 825, 585, 795, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 1038, 737, 815, 1535, 910, 16733, 8987, 272, 12684, 333, 264, 2608, 16733, 343, 16732, 273, 265, 333, 266, 272, 4297, 14370, 273, 265, 333, 266, 272, 21875, 12828, 912, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1535, 283, 272, 5602, 2745, 630, 330, 264, 0, 343, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 2473, 10780, 21268, 8563, 26281, 476, 26580, 10948, 24012, 281, 27328, 344, 815, 10581, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 3378, 18775, 9686, 4138, 4709, 19277, 9924, 962, 10780, 21268, 8563, 26281, 476, 26580, 10948, 24012, 281, 27328, 293, 815, 16733, 277, 16732, 343, 1262, 278, 4297, 910, 630, 275, 269, 276, 16732, 343, 1262, 276, 4297, 1341, 630, 275, 16732, 343, 1262, 273, 21875, 604, 630, 293, 3917, 264, 283, 271, 269, 9826, 912, 825, 1820, 9497, 396, 509, 5284, 379, 3522, 28027, 20046, 5602, 12828, 912, 825, 1820, 2891, 396, 507, 3264, 10780, 5284, 379, 3522, 28027, 20046, 8442, 0, 26611, 23591, 24800, 270, 7090, 274, 7531, 5814, 2979, 454, 5814, 2653, 7666, 328, 607, 575, 692, 258, 24544, 540, 6305, 3097, 3698, 568, 318, 28269, 28840, 2187, 825, 952, 1297, 3436, 476, 272, 912, 1038, 952, 1297, 2652, 476, 273, 912, 2018, 2132, 6936, 454, 1038, 952, 1297, 4939, 476, 273, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 263, 274, 267, 703, 263, 4118, 28460, 28840, 11924, 272, 1070, 476, 273, 2187, 2018, 952, 1297, 4939, 1775, 2652, 476, 271, 912, 3546, 2132, 8771, 454, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 1205, 318, 7468, 1307, 28840, 2187, 825, 1247, 6936, 912, 1038, 952, 568, 318, 28269, 28840, 2187, 2018, 6556, 1297, 17264, 1948, 2422, 519, 4162, 540, 519, 11718, 547, 5173, 454, 1038, 1297, 6834, 476, 272, 692, 3698, 1293, 318, 7468, 1307, 10031, 825, 2698, 815, 476, 273, 454, 825, 1297, 815, 703, 14116, 269, 10938, 7901, 2891, 8923, 4283, 519, 1297, 540, 6305, 9832, 547, 581, 7229, 24333, 834, 15612, 566, 540, 22136, 27363, 825, 585, 6305, 538, 1205, 318, 7468, 1307, 263, 274, 2567, 8587, 1948, 3097, 1038, 952, 6305, 2999, 1297, 912, 2018, 2698, 6834, 6305, 454, 1038, 3116, 912, 2018, 20444, 326, 815, 834, 28269, 2040, 568, 281, 4939, 338, 834, 4939, 2698, 454, 2018, 575, 269, 916, 326, 7901, 263, 916, 326, 267, 834, 15612, 566, 540, 22136, 5602, 2018, 2132, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1293, 318, 7468, 1307, 4590, 672, 692, 0, 258, 962, 3658, 519, 12805, 3197, 1993, 519, 3403, 454, 258, 9764, 454, 5228, 621, 1068, 8962, 1104, 1895, 2421, 692, 3698, 5180, 318, 3438, 1807, 263, 3438, 1807, 2187, 825, 1101, 21223, 2211, 815, 1985, 263, 3438, 1807, 994, 825, 6556, 1101, 21223, 2211, 454, 825, 585, 1775, 538, 12055, 1807, 912, 1038, 6556, 1775, 454, 825, 6556, 1101, 21223, 2211, 692, 3698, 14919, 17347, 267, 575, 2187, 825, 575, 815, 1592, 14116, 994, 825, 2132, 737, 2608, 630, 6352, 14116, 264, 910, 272, 2020, 3698, 1292, 272, 263, 20880, 2187, 825, 1543, 815, 1496, 842, 6262, 264, 585, 524, 538, 1543, 2639, 825, 2132, 2040, 8443, 12000, 26021, 17347, 267, 575, 264, 585, 737, 267, 575, 538, 1895, 2421, 263, 1037, 318, 3438, 1807, 263, 3438, 263, 20880, 4297, 13580, 9239, 3698, 1292, 273, 263, 20880, 2187, 825, 1543, 815, 1496, 842, 6262, 264, 585, 524, 538, 1543, 2639, 825, 10300, 3118, 815, 703, 12759, 263, 20880, 264, 1315, 476, 273, 994, 825, 2132, 2040, 8443, 325, 1341, 678, 585, 535, 267, 678, 538, 23407, 263, 20880, 11468, 15595, 3118, 3910, 1543, 314, 15595, 3118, 281, 8079, 952, 535, 2652, 678, 20285, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 272, 320, 270, 6358, 17902, 10807, 607, 535, 335, 912, 1038, 1543, 815, 535, 335, 18667, 14061, 29328, 4590, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 20880, 4917, 825, 1820, 3488, 273, 281, 22207, 1292, 273, 263, 20880, 4917, 0, 3698, 20203, 263, 4186, 757, 2187, 825, 11716, 815, 8771, 454, 825, 6394, 815, 476, 271, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 285, 12466, 2018, 2132, 6394, 454, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 2018, 3136, 454, 1038, 6394, 6834, 476, 272, 454, 825, 2132, 6394, 692, 3698, 6418, 263, 4186, 757, 267, 3490, 23962, 2187, 825, 2040, 23962, 815, 476, 271, 454, 825, 6060, 815, 3490, 23962, 1341, 476, 272, 454, 825, 11716, 815, 8771, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 346, 12466, 2018, 2040, 23962, 6834, 6418, 263, 4186, 757, 267, 6060, 994, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 1038, 8640, 524, 2652, 1412, 283, 12466, 2018, 20203, 263, 4186, 757, 994, 1038, 8640, 524, 2652, 1412, 348, 12466, 2018, 2132, 6060, 1341, 2040, 23962, 454, 825, 2132, 6060, 1341, 2040, 23962, 692, 3698, 1292, 272, 263, 4186, 757, 2187, 825, 2132, 6418, 263, 3438, 263, 4186, 757, 1070, 910, 272, 2020, 3698, 1292, 273, 263, 4186, 757, 2187, 825, 2040, 318, 3258, 12237, 815, 476, 271, 454, 825, 9115, 815, 12055, 263, 4186, 757, 994, 825, 11716, 815, 8771, 454, 825, 585, 524, 538, 9115, 912, 1038, 952, 11716, 912, 2018, 11716, 815, 8771, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 256, 12466, 2018, 11716, 815, 6936, 454, 2018, 3136, 454, 1038, 8640, 524, 2652, 1412, 283, 12466, 2018, 2040, 318, 3258, 12237, 6834, 20203, 263, 4186, 757, 994, 825, 2132, 2040, 318, 3258, 12237, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 280, 270, 6358, 17902, 3299, 1412, 337, 10807, 607, 535, 335, 912, 1038, 9115, 815, 535, 335, 18667, 14061, 29328, 4590, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 4186, 757, 4917, 825, 1820, 3488, 273, 281, 22207, 1292, 273, 263, 4186, 757, 4917, 0, 5814, 556, 454, 5228, 10070, 1104, 3957, 14654, 921, 267, 9949, 18743, 692, 307, 1077, 815, 3957, 14654, 921, 3488, 307, 1077, 3299, 1412, 4067, 649, 580, 628, 1453, 5073, 307, 1077, 14857, 327, 1662, 1029, 815, 25754, 1582, 281, 19474, 4311, 20508, 2020, 3698, 1612, 572, 263, 1467, 2187, 825, 1899, 815, 1899, 21858, 3488, 30386, 825, 2012, 815, 1899, 314, 271, 2639, 825, 649, 580, 628, 815, 703, 263, 516, 16553, 16868, 262, 314, 3890, 316, 3299, 1412, 3299, 1899, 314, 272, 28413, 825, 1964, 815, 1412, 8339, 21860, 263, 1467, 314, 274, 281, 7481, 825, 1453, 815, 1964, 21858, 263, 3299, 10807, 952, 1964, 3116, 11713, 825, 2132, 2012, 267, 649, 580, 628, 267, 1453, 692, 3698, 3597, 6025, 10183, 2187, 825, 3237, 815, 2715, 339, 314, 271, 316, 585, 512, 538, 20610, 8679, 825, 1453, 815, 1305, 4590, 825, 585, 512, 538, 20610, 912, 1038, 1453, 269, 26303, 6025, 314, 273, 7481, 825, 886, 815, 630, 18499, 910, 1453, 994, 825, 7682, 7003, 5560, 858, 264, 2652, 476, 272, 454, 825, 2132, 886, 21014, 10797, 3698, 1292, 272, 263, 6050, 2187, 825, 20610, 815, 1496, 27785, 10857, 264, 585, 561, 538, 3515, 2639, 825, 2132, 3597, 6025, 10183, 2020, 3698, 7979, 1512, 263, 18244, 2187, 825, 952, 7003, 263, 18244, 264, 2999, 476, 273, 912, 1038, 2132, 7183, 454, 825, 1453, 815, 15044, 263, 18244, 2020, 825, 952, 1453, 314, 271, 316, 2652, 1453, 314, 272, 316, 11203, 1453, 15631, 272, 14158, 1038, 2132, 1453, 15631, 272, 2639, 825, 8640, 1453, 314, 271, 316, 2652, 1453, 15631, 272, 316, 11203, 1453, 314, 272, 14158, 1038, 2132, 1453, 314, 272, 2639, 825, 8640, 1453, 314, 272, 316, 2652, 1453, 15631, 272, 316, 11203, 1453, 314, 271, 14158, 1038, 2132, 1453, 314, 271, 2639, 825, 3116, 912, 1038, 2132, 7183, 692, 3698, 1292, 273, 263, 6050, 2187, 825, 20610, 815, 2715, 307, 1077, 28949, 27785, 10857, 4297, 585, 561, 538, 3515, 8679, 825, 20610, 318, 2421, 12173, 815, 2715, 339, 1077, 20508, 281, 13486, 585, 13486, 538, 20610, 8679, 825, 20610, 4671, 4973, 318, 933, 580, 628, 815, 31460, 825, 585, 13486, 538, 20610, 912, 1038, 952, 7003, 6025, 1077, 269, 18244, 264, 2652, 476, 271, 912, 2018, 20610, 4671, 4973, 318, 933, 580, 628, 314, 339, 1077, 20508, 316, 815, 13486, 269, 933, 580, 628, 454, 825, 1247, 6936, 912, 1038, 585, 13486, 538, 20610, 912, 2018, 649, 580, 628, 318, 2421, 15220, 10242, 815, 31460, 2018, 1453, 318, 2421, 318, 933, 580, 628, 815, 9949, 18743, 17338, 994, 2018, 585, 1126, 538, 13486, 269, 18244, 912, 3546, 952, 1126, 538, 20610, 4671, 4973, 318, 933, 580, 628, 912, 7386, 649, 580, 628, 318, 2421, 15220, 10242, 314, 18876, 316, 815, 20610, 4671, 4973, 318, 933, 580, 628, 314, 18876, 2639, 7386, 1453, 318, 2421, 318, 933, 580, 628, 314, 339, 10183, 4671, 4973, 318, 933, 580, 628, 314, 18876, 14963, 815, 1126, 692, 2018, 952, 7003, 263, 933, 580, 628, 318, 2421, 15220, 10242, 264, 2999, 7003, 6025, 1077, 269, 18244, 2187, 3546, 3136, 692, 2018, 649, 580, 2195, 815, 15044, 263, 933, 580, 628, 318, 2421, 15220, 10242, 269, 11161, 15405, 2018, 7979, 1512, 318, 933, 580, 628, 815, 7979, 1512, 263, 933, 580, 2195, 994, 2018, 952, 7979, 1512, 318, 933, 580, 628, 568, 711, 7183, 912, 3546, 7979, 1512, 15220, 843, 815, 1453, 318, 2421, 318, 933, 580, 628, 314, 719, 17067, 318, 933, 580, 628, 2639, 3546, 2132, 20610, 318, 2421, 12173, 314, 719, 17067, 15220, 843, 4940, 933, 580, 628, 910, 630, 719, 17067, 318, 933, 580, 628, 910, 649, 580, 2195, 314, 272, 7481, 2018, 3116, 912, 3546, 20610, 4671, 4973, 318, 933, 580, 628, 314, 339, 1077, 20508, 316, 815, 13486, 269, 933, 580, 628, 1341, 2040, 263, 933, 580, 2195, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 609, 1930, 3488, 323, 278, 270, 6358, 17902, 3299, 1412, 337, 10807, 607, 535, 335, 912, 1038, 3515, 815, 1496, 331, 14714, 8692, 3890, 585, 561, 538, 535, 335, 18667, 6050, 3890, 2639, 825, 1820, 3488, 272, 281, 22207, 1292, 272, 263, 6050, 4917, 825, 1820, 3488, 272, 281, 22207, 1292, 273, 263, 6050, 4917, 0, 2745, 2891, 15916, 15419, 343, 815, 476, 276, 2608, 476, 276, 454, 344, 815, 476, 274, 2608, 476, 273, 454, 345, 815, 476, 273, 2608, 476, 272, 692, 2745, 2891, 13328, 2580, 1535, 910, 1990, 994, 2745, 2891, 13328, 2580, 1535, 1341, 586, 994, 0, 258, 476, 5785, 14343, 19203, 1948, 454, 258, 667, 269, 30954, 22222, 267, 476, 1708, 271, 268, 4962, 268, 2641, 454, 258, 476, 5785, 14343, 19203, 1948, 692, 16344, 523, 1868, 815, 18358, 531, 823, 17902, 3299, 1412, 332, 984, 344, 5091, 1157, 17902, 3299, 1412, 331, 8077, 16062, 1580, 17902, 262, 6540, 1721, 32197, 538, 2083, 523, 1868, 912, 825, 2119, 912, 1038, 609, 1930, 6600, 32327, 267, 17683, 8782, 583, 325, 268, 279, 10807, 607, 1433, 912, 2018, 9115, 815, 1433, 18667, 4590, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 1780, 692, 825, 3116, 912, 1038, 1913, 815, 9115, 31573, 14061, 20889, 4590, 1038, 1948, 1913, 815, 9115, 31573, 10797, 1038, 1455, 29999, 815, 1412, 1492, 7055, 1038, 1455, 29999, 18045, 815, 1913, 29644, 263, 21720, 29999, 994, 1038, 1820, 6600, 262, 315, 333, 763, 2262, 1422, 262, 346, 21720, 29999, 4153, 262, 5526, 827, 1412, 454, 23526, 535, 262, 346, 21720, 29999, 18045, 348, 2053, 538, 2715, 16344, 17575, 348, 5073, 0, 258, 476, 5785, 14343, 19203, 1948, 454, 258, 667, 269, 30954, 22222, 267, 476, 1001, 280, 268, 1321, 268, 4905, 454, 258, 476, 5785, 14343, 19203, 1948, 692, 534, 7769, 815, 18358, 339, 9528, 3299, 1412, 331, 542, 3299, 1412, 3832, 29609, 3299, 1412, 548, 16985, 3299, 1412, 335, 656, 615, 23300, 1721, 3662, 538, 2831, 912, 825, 1820 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 27237, 292, 281, 901, 568, 513, 8799, 1383, 540, 598, 1027, 532, 513, 1448, 1247, 27102, 602, 454, 935, 1027, 539, 621, 269, 634, 3915, 12976, 3109, 12269, 540, 8673, 941, 22566, 540, 454, 24119, 337, 1882, 11642, 267, 799, 941, 8781, 693, 5210, 1259, 2630, 1346, 602, 454, 520, 22633, 896, 4998, 2175, 538, 519, 4527, 540, 6986, 5135, 269, 901, 454, 1492, 2898, 715, 8780, 2272, 267, 2094, 952, 519, 11642, 941, 8781, 693, 5210, 454, 10964, 578, 1346, 2838, 547, 1256, 14020, 267, 1454, 1447, 15835, 267, 5374, 267, 1287, 621, 454, 1492, 2013, 602, 519, 5374, 18604, 267, 1454, 1447, 24268, 267, 607, 606, 1198, 540, 454, 1607, 568, 1776, 2013, 540, 13346, 519, 4087, 540, 519, 2243, 547, 454, 5228, 519, 2152, 547, 799, 621, 568, 2047, 1644, 267, 971, 607, 2055, 476, 278, 320, 454, 3963, 941, 1004, 2938, 538, 519, 10616, 2451, 676, 519, 7077, 5222, 952, 519, 454, 1492, 11642, 3297, 873, 729, 865, 7050, 888, 301, 8780, 11099, 602, 519, 7606, 2938, 941, 2476, 689, 1022, 2178, 3002, 454, 2865, 2693, 538, 606, 1858, 602, 693, 519, 942, 729, 513, 1448, 1141, 519, 2011, 585, 454, 13195, 1373, 6537, 883, 519, 2679, 547, 1489, 519, 11642, 269, 8074, 602, 454, 10849, 5703, 1152, 538, 519, 23761, 538, 654, 12839, 476, 272, 563, 6097, 547, 519, 4139, 9208, 18869, 270, 4811, 476, 13670, 10170, 267, 1004, 786, 581, 538, 454, 335, 664, 1369, 7643, 952, 789, 616, 2282, 519, 32689, 3002, 1377, 6383, 454, 2421, 513, 1804, 454, 13933, 269, 4935, 267, 621, 568, 711, 9670, 602, 9039, 540, 519, 11147, 1397, 513, 454, 9227, 538, 1346, 10616, 1141, 972, 849, 729, 513, 521, 14184, 3595, 563, 763, 3595, 2623, 1739, 519, 8484, 5222, 568, 4330, 538, 715, 8780, 454, 272, 268, 276, 288, 269, 769, 2489, 267, 972, 729, 2370, 13455, 3595, 2282, 519, 1858, 1141, 454, 1515, 8154, 5734, 519, 20610, 269, 8056, 2664, 2299, 2390, 1764, 540, 519, 8484, 2676, 13933, 27750, 689, 519, 11046, 1242, 15191, 4492, 10057, 782, 519, 2199, 5135, 563, 527, 1345, 1131, 723, 1500, 1346, 6753, 6385, 796, 331, 22133, 4700, 634, 454, 638, 1157, 569, 543, 941, 4553, 676, 11642, 602, 8057, 3330, 519, 13486, 1141, 454, 11004, 729, 513, 454, 18474, 1588, 540, 12318, 1043, 1570, 267, 2011, 543, 606, 27307, 2707, 269, 9741, 454, 18474, 755, 1043, 1570, 7283, 2282, 519, 8484, 7127, 3154, 1127, 2094, 519, 454, 257, 12712, 671, 334, 7458, 257, 1454, 540, 621, 4724, 519, 9703, 540, 519, 2679, 269, 4746, 267, 930, 454, 4186, 757, 8593, 998, 519, 9397, 538, 519, 6989, 547, 519, 2984, 2630, 563, 11997, 267, 519, 1004, 4767, 538, 891, 23761, 1590, 723, 15068, 519, 454, 11069, 716, 543, 6410, 734, 517, 576, 519, 3595, 27750, 1185, 26632, 730, 734, 1729, 519, 23761, 454, 339, 655, 704, 2137, 941, 16830, 543, 519, 2011, 729, 20501, 982, 538, 519, 2679, 454, 27237, 292, 281, 634, 11642, 941, 711, 1256, 3905, 2614, 547, 6861, 519, 9486, 267, 1454, 454, 933, 2586, 519, 5374, 547, 519, 1448, 540, 27510, 513, 834, 3966, 322, 820, 12900, 8487, 560, 24780, 11653, 267, 8176, 715, 269, 623, 1122, 601, 578, 267, 814, 5063, 4767, 630, 323, 1005, 454, 5793, 1613, 593, 834, 15239, 7304, 24655, 32438, 2580, 678, 16818, 331, 633, 2593, 630, 2190, 4864, 476, 1220, 277, 264, 602, 454, 2254, 519, 5686, 540, 5656, 602, 616, 11630, 547, 834, 3966, 322, 820, 12900, 20350, 21671, 1259, 621, 1223, 2049, 609, 513, 2679, 540, 713, 2186, 568, 952, 782, 540, 519, 454, 3712, 8435, 593, 513, 6989, 1185, 8959, 8195, 269, 4595, 519, 11642, 941, 454, 339, 17687, 543, 5618, 538, 8653, 267, 972, 568, 1100, 2009, 1259, 585, 602, 547, 454, 268, 4208, 798, 930, 11147, 1397, 513, 5835, 6908, 540, 25183, 4496, 454, 1492, 2427, 540, 654, 12839, 273, 602, 715, 8780, 6811, 729, 11956, 689, 519, 1835, 14414, 7077, 454, 531, 26891, 17236, 609, 513, 3043, 16657, 888, 301, 8780, 4080, 630, 10998, 4306, 2752, 476, 272, 268, 276, 288, 264, 602, 1175, 1354, 476, 280, 281, 7367, 513, 6230, 1421, 513, 6505, 5544, 454, 520, 519, 1283, 540, 513, 6885, 593, 519, 476, 3199, 628, 6989, 540, 654, 12839, 476, 273, 267, 2185, 9486, 6569, 454, 324, 770, 6316, 593, 519, 5087, 3068, 267, 4553, 676, 519, 2095, 540, 513, 30437, 5277, 563, 331, 16556, 5111, 2185, 7643, 1354, 7449, 4575, 269, 3509, 971, 5277, 454, 10849, 5703, 689, 2282, 713, 4087, 538, 519, 5722, 3764, 3056, 909, 547, 519, 454, 1993, 713, 13486, 269, 1703, 568, 1100, 2963, 540, 2147, 25183, 5277, 26311, 454, 534, 1278, 4087, 538, 654, 12839, 476, 273, 610, 689, 9170, 1369, 654, 12839, 476, 272, 563, 21900, 21106, 267, 543, 715, 8780, 13502, 540, 519, 8484, 1764, 267, 1397, 1804, 454, 1372, 11421, 538, 519, 476, 3199, 628, 543, 476, 10037, 560, 19683, 540, 654, 12839, 476, 273, 2282, 519, 3135, 1141, 519, 454, 331, 18612, 5555, 7902, 269, 13518, 540, 713, 11935, 3357, 689, 519, 8484, 454, 663, 689, 519, 5604, 29939, 902, 602, 519, 8484, 14593, 4464, 607, 621, 454, 1729, 713, 2484, 1439, 540, 519, 2679, 269, 14066, 11642, 2919, 593, 891, 25985, 454, 12898, 519, 8484, 1764, 543, 4797, 547, 6633, 538, 519, 1858, 2394, 519, 454, 301, 8780, 11943, 602, 519, 2707, 540, 519, 25183, 1570, 729, 11956, 454, 1492, 8484, 267, 2094, 891, 616, 1634, 547, 15835, 1063, 476, 275, 4037, 5232, 17622, 454, 19592, 4181, 17622, 630, 24119, 2056, 593, 519, 1880, 18585, 1070, 1134, 2630, 519, 454, 339, 655, 704, 2137, 630, 12671, 476, 272, 267, 1822, 5232, 17622, 264, 538, 519, 25610, 540, 519, 454, 2704, 26891, 568, 711, 4397, 547, 5337, 924, 693, 3339, 3595, 5210, 543, 454, 11004, 568, 1100, 454, 6665, 783, 16315, 602, 519, 1570, 13576, 689, 519, 13486, 729, 8781, 563, 303, 675, 5277, 11956, 1131, 581, 4397, 547, 2408, 3623, 854, 269, 1717, 267, 519, 454, 5471, 531, 729, 1360, 2693, 6404, 609, 1804, 5666, 540, 3905, 267, 13148, 454, 16955, 2326, 630, 324, 3052, 1421, 11647, 267, 15790, 1115, 267, 851, 1431, 543, 5904, 994, 5891, 606, 10538, 16657, 267, 1454, 899, 20743, 8781, 538, 513, 3595, 2897, 269, 634, 454, 10233, 849, 1131, 723, 1044, 4299, 676, 1793, 698, 5250, 593, 519, 2627, 563, 27237, 292, 281, 715, 8780, 1058, 5077, 609, 7905, 24697, 13643, 540, 15760, 308, 267, 945, 814, 454, 17238, 532, 6901, 609, 25183, 11956, 543, 25183, 4401, 4143, 547, 454, 23896, 543, 519, 6631, 2329, 540, 519, 715, 8780, 3210, 267, 799, 594, 798, 711, 2232, 454, 268, 9894, 519, 715, 8780, 7634, 1413, 585, 2963, 540, 519, 654, 12839, 20610, 454, 6658, 676, 6417, 23542, 819, 286, 12984, 519, 5374, 7318, 585, 14885, 1161, 610, 454, 637, 573, 1132, 286, 634, 4999, 540, 5687, 924, 543, 16247, 630, 21406, 5687, 622, 994, 257, 338, 997, 525, 998, 5374, 899, 513, 3905, 17180, 998, 7423, 4799, 301, 8780, 1705, 711, 1449, 585, 519, 21225, 540, 891, 7135, 538, 519, 5374, 563, 763, 6114, 547, 2055, 1297, 476, 273, 267, 476, 275, 267, 476, 276, 543, 476, 1556, 6542, 1946, 715, 8780, 454, 7474, 972, 941, 1100, 14885, 1161, 610, 6417, 23542, 819, 3238, 538, 519, 454, 1993, 519, 654, 12839, 20610, 563, 13010, 267, 513, 1360, 1804, 7274, 540, 5687, 924, 630, 320, 7848, 540, 32314, 454, 28699, 983, 11956, 4496, 543, 32314, 4401, 12547, 602, 17236, 693, 5393, 454, 339, 655, 704, 2137, 950, 5337, 1243, 264, 610, 1776, 1651, 754, 10706, 7623, 1131, 723, 454, 17495, 547, 581, 454, 31419, 593, 693, 2547, 519, 1297, 540, 9587, 8697, 676, 519, 8484, 1764, 454, 933, 2586, 539, 676, 519, 7766, 11642, 547, 3142, 1524, 513, 13486, 269, 26457, 924, 17236, 454, 7758, 894, 547, 23292, 2326, 543, 666, 2154, 1896, 3764, 538, 454, 320, 7372, 5374, 3296, 547, 3002, 621, 547, 513, 2837, 602, 1131, 1267, 454, 11357, 560, 656, 658, 4617, 2287, 269, 9484, 26147, 689, 519, 654, 12839, 20610, 7634, 267, 715, 8780, 454, 516, 572, 2117, 1667, 6059, 602, 693, 2547, 476, 271, 269, 1724, 6550, 540, 5687, 924, 1131, 581, 454, 17742, 1142, 11013, 540, 513, 5374, 3296, 547, 5111, 476, 10384, 5232, 17622, 454, 339, 17687, 693, 799, 5374, 4617, 839, 15186, 1040, 4475, 267, 1247, 513, 454, 516, 9146, 666, 2759, 998, 1804, 5374, 9587, 267, 1082, 5215, 540, 6550, 454, 750, 332, 924, 1131, 991, 547, 723, 1044, 5116, 14455, 30679, 28204, 6619, 540, 942, 2676, 793, 1243, 267, 543, 11214, 4371, 538, 1463, 3346, 609, 519, 2627, 540, 454, 21346, 633, 7293, 3334, 547, 14020, 519, 2679, 269, 901, 2306, 621, 606, 454, 11357, 560, 766, 585, 8236, 513, 6417, 23542, 819, 563, 26046, 540, 519, 654, 12839, 5374, 585, 519, 2609, 538, 5687, 924, 270, 750, 22940, 1131, 454, 928, 947, 3320, 723, 1044, 598, 5477, 269, 634, 4496, 7135, 849, 1131, 723, 454, 30005, 538, 519, 4070, 2326, 1818, 909, 519, 654, 12839, 20610, 267, 543, 454, 30005, 538, 519, 31682, 3774, 4580, 602, 729, 11342, 538, 519, 9703, 454, 27237, 292, 281, 715, 8780, 1058, 581, 19696, 543, 7234, 519, 960, 540, 24697, 13643, 540, 454, 15367, 814, 5342, 519, 1034, 3573, 1382, 1644, 547, 2165, 924, 543, 454, 23178, 13643, 1131, 581, 606, 3617, 4274, 547, 2232, 713, 715, 8780, 454, 3963, 1705, 519, 715, 8780, 7634, 711, 2015, 5359, 540, 25183, 5374, 454, 5228, 519, 654, 12839, 20610, 888, 301, 8780, 22602, 543, 4966, 689, 519, 1977, 5980, 540, 6406, 454, 263, 3008, 4753, 264, 543, 519, 23305, 19296, 5948, 540, 1715, 3840, 630, 10345, 2177, 312, 264, 734, 15367, 454, 1231, 4624, 519, 654, 12839, 5374, 693, 519, 654, 12839, 3135, 543, 519, 32006, 720, 18126, 734, 11398, 1100, 454, 7474, 1131, 1489, 519, 13621, 540, 5374, 538, 513, 15191, 1922, 3241, 5337, 1243, 3595, 538, 454, 335, 1874, 547, 12900, 269, 634, 2783, 540, 519, 5374, 538, 519, 20739, 1188, 720, 540, 519, 454, 9217, 4318, 1421, 2436, 621, 729, 538, 513, 25183, 1533, 610, 711, 264, 729, 13061, 547, 519, 454, 514, 4034, 12720, 540, 519, 12900, 2094, 621, 1281, 711, 1683, 1022, 598, 5477, 454, 15574, 593, 519, 2783, 540, 519, 5374, 950, 519, 654, 12839, 20610, 941, 454, 301, 8780, 2808, 519, 3441, 547, 519, 5374, 2497, 543, 922, 3595, 16513, 532, 454, 1492, 8484, 1764, 543, 519, 7766, 11642, 950, 519, 5656, 941, 454, 9227, 2094, 602, 3441, 729, 3743, 585, 27510, 519, 12900, 454, 15152, 1978, 6381, 621, 568, 10703, 22133, 585, 930, 540, 519, 5374, 538, 454, 342, 516, 1188, 720, 547, 723, 24268, 1310, 519, 5656, 25540, 269, 7102, 25183, 5374, 454, 342, 516, 1188, 720, 729, 811, 2693, 1813, 547, 519, 1164, 2837, 4611, 689, 454, 1410, 17068, 547, 13674, 1369, 519, 18061, 982, 547, 2110, 4598, 547, 11642, 454, 30161, 657, 687, 1247, 519, 5656, 941, 7555, 563, 27237, 292, 281, 634, 4527, 540, 25183, 4496, 538, 519, 1016, 19668, 906, 1614, 267, 2185, 267, 543, 2947, 454, 933, 4060, 2663, 3112, 581, 834, 597, 516, 10589, 257, 547, 519, 715, 8780, 7778, 540, 519, 454, 257, 322, 3326, 8985, 2580, 2094, 621, 729, 606, 1198, 540, 602, 2680, 269, 1403, 519, 715, 8780, 3112, 454, 1410, 21622, 621, 267, 1287, 519, 715, 8780, 781, 2272, 568, 18106, 543, 14543, 547, 14183, 454, 320, 4909, 10421, 540, 3621, 7744, 267, 1634, 607, 519, 10421, 454, 1993, 2698, 2963, 267, 799, 2829, 3621, 7744, 1590, 581, 3490, 454, 1575, 517, 782, 540, 519, 2139, 4143, 2963, 269, 15845, 568, 4143, 454, 15290, 922, 4527, 610, 9000, 267, 5168, 610, 535, 1023, 640, 267, 2306, 513, 3017, 454, 1729, 630, 320, 977, 338, 519, 1489, 585, 264, 519, 5168, 610, 535, 1023, 640, 540, 513, 3932, 563, 301, 8780, 568, 859, 8172, 519, 3390, 269, 898, 3112, 2272, 585, 1271, 267, 4143, 454, 3963, 568, 519, 715, 8780, 7634, 540, 519, 12900, 540, 654, 12839, 476, 278, 630, 1492, 454, 20761, 602, 25540, 593, 20029, 269, 476, 1556, 267, 476, 1220, 272, 267, 3108, 1310, 519, 20610, 994, 14075, 547, 2347, 286, 1772, 513, 6417, 23542, 819, 8367, 1373, 454, 1410, 21622, 519, 12900, 888, 2691, 715, 8780, 15748, 519, 654, 12839, 7634, 267, 621, 1500, 513, 3375, 711, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 613, 1066, 857, 553, 1862, 2776, 7528, 28987, 24177, 623, 269, 280, 563, 2414, 1265, 1535, 273, 267, 12990, 519, 1871, 596, 1336, 585, 1535, 272, 269, 0, 4131, 721, 581, 2312, 827, 713, 689, 519, 856, 3553, 281, 13342, 28401, 630, 529, 606, 12362, 12544, 15292, 532, 267, 26240, 5652, 9813, 602, 267, 538, 1978, 2127, 543, 3871, 267, 19082, 3362, 543, 3029, 513, 2282, 1395, 665, 11857, 2059, 695, 8014, 5757, 3316, 802, 543, 741, 3574, 539, 6360, 680, 1622, 267, 593, 519, 5011, 540, 14927, 4104, 18162, 543, 4155, 1811, 267, 9170, 602, 519, 1769, 568, 3897, 4364, 543, 519, 3037, 5848, 269, 5221, 513, 2582, 536, 1329, 333, 658, 2030, 7472, 5215, 540, 5452, 267, 543, 9428, 26490, 1947, 538, 519, 3579, 14927, 1145, 540, 4571, 1606, 7428, 267, 13342, 2173, 755, 731, 16094, 27938, 513, 1297, 5065, 2249, 31251, 21276, 3134, 31906, 1023, 971, 607, 1973, 10174, 267, 10656, 2006, 781, 23222, 2583, 267, 646, 31154, 553, 267, 5694, 342, 2176, 267, 543, 959, 650, 1756, 338, 267, 547, 2012, 1175, 513, 1906, 267, 2059, 609, 1022, 7786, 543, 29068, 602, 4096, 2390, 873, 563, 21953, 519, 2030, 781, 2582, 1655, 14049, 267, 519, 2601, 585, 922, 1967, 267, 568, 513, 3668, 540, 2067, 14763, 269, 23875, 1454, 4667, 547, 899, 4189, 13342, 2173, 755, 731, 267, 1519, 17642, 564, 841, 13650, 269, 769, 2342, 267, 519, 2030, 781, 3312, 1753, 267, 13342, 2173, 755, 731, 568, 711, 12362, 1317, 621, 568, 882, 1639, 676, 20733, 540, 1614, 18797, 1114, 2249, 540, 7786, 282, 1934, 538, 3345, 3013, 2507, 32502, 267, 562, 3385, 267, 711, 835, 17079, 9060, 621, 5493, 23534, 1765, 520, 2547, 711, 2614, 865, 547, 1118, 1022, 3017, 547, 922, 13311, 7269, 563, 763, 20451, 568, 602, 13342, 2173, 755, 731, 729, 4547, 547, 713, 2197, 585, 1426, 543, 607, 513, 16392, 10786, 676, 2038, 13896, 269, 634, 1249, 568, 267, 519, 1762, 3762, 540, 13342, 2173, 755, 731, 30147, 16919, 267, 607, 596, 1522, 4952, 267, 540, 1312, 13342, 543, 28401, 1765, 332, 1389, 513, 1434, 1840, 547, 25235, 267, 13489, 1922, 1845, 267, 543, 27156, 269, 594, 4312, 711, 2943, 2944, 865, 267, 855, 13342, 2173, 755, 731, 568, 1767, 547, 1118, 606, 5140, 11641, 334, 585, 18437, 267, 19323, 12277, 267, 28777, 19787, 267, 1256, 936, 2156, 6150, 3165, 563, 294, 541, 997, 2173, 755, 731, 781, 6263, 630, 272, 270, 274, 547, 476, 272, 270, 275, 10759, 264, 5810, 267, 6738, 538, 13421, 29691, 513, 31537, 602, 781, 9170, 689, 476, 272, 1700, 274, 3952, 7381, 267, 616, 18562, 26837, 22239, 17681, 269, 19232, 3043, 18742, 602, 1413, 899, 20538, 3444, 3613, 9662, 8015, 519, 18632, 3039, 2044, 563, 12024, 865, 1082, 824, 28164, 649, 4312, 5189, 609, 1434, 15752, 267, 13342, 2173, 755, 731, 814, 711, 1152, 5828, 593, 721, 22924, 781, 12306, 538, 585, 519, 1279, 688, 592, 267, 12691, 547, 2479, 581, 16701, 5344, 269, 634, 1655, 649, 666, 798, 568, 1451, 875, 547, 4894, 519, 2371, 267, 543, 547, 798, 865, 8164, 543, 16382, 2009, 269, 1656, 952, 596, 3494, 602, 642, 3188, 766, 568, 3006, 1655, 6039, 909, 585, 12129, 267, 596, 262, 331, 581, 13820, 1176, 30039, 269, 0, 2414, 519, 15503, 912, 1103, 2257, 267, 513, 7623, 568, 513, 7848, 540, 6464, 269, 769, 6214, 267, 513, 7623, 568, 513, 1747, 1141, 513, 2229, 949, 26343, 1004, 602, 616, 2808, 513, 2009, 3463, 269, 769, 6128, 267, 7623, 532, 568, 513, 1360, 1271, 1523, 602, 814, 7096, 6286, 585, 782, 1004, 563, 1103, 3619, 742, 560, 1144, 267, 519, 2698, 6578, 630, 26165, 543, 3506, 264, 814, 1044, 3395, 28354, 585, 5756, 269, 19663, 28354, 1797, 602, 513, 1297, 568, 7623, 532, 693, 930, 6871, 630, 8472, 936, 513, 6378, 1974, 540, 942, 269, 901, 1249, 814, 4539, 585, 782, 3619, 742, 560, 1144, 7264, 543, 741, 3959, 9204, 563, 12179, 1297, 602, 9428, 693, 1022, 6871, 936, 942, 786, 711, 1332, 693, 519, 1482, 2179, 269, 2334, 568, 519, 1883, 3364, 547, 27655, 827, 519, 1379, 540, 513, 7623, 532, 1297, 281, 4634, 1498, 513, 1297, 568, 3395, 693, 519, 1482, 6871, 1169, 1032, 267, 519, 2179, 540, 2208, 3587, 5051, 3677, 21496, 269, 769, 1249, 267, 1034, 540, 519, 2962, 4386, 538, 519, 2063, 1906, 1296, 269, 1656, 585, 3619, 742, 560, 1144, 602, 4090, 568, 4947, 563, 763, 12449, 2630, 9414, 519, 7623, 532, 1523, 585, 519, 3619, 742, 560, 1144, 3506, 689, 476, 4198, 278, 609, 513, 16879, 883, 519, 2104, 1759, 593, 519, 1482, 2557, 540, 2208, 269, 18564, 519, 7678, 563, 306, 29558, 5357, 645, 11070, 294, 4953, 476, 4198, 278, 268, 13078, 278, 630, 19061, 539, 994, 763, 7678, 568, 513, 3501, 968, 327, 15736, 6529, 892, 5250, 602, 2982, 519, 3803, 1764, 540, 1022, 7623, 1297, 563, 763, 2338, 538, 3109, 941, 5833, 689, 3619, 742, 560, 1144, 16011, 18614, 267, 799, 2882, 519, 1297, 540, 1053, 543, 519, 1269, 270, 30700, 269, 634, 2338, 538, 2699, 616, 3274, 11173, 513, 1360, 15061, 6871, 2333, 540, 476, 278, 269, 273, 260, 883, 519, 2104, 269, 14033, 519, 1439, 630, 516, 958, 14386, 519, 2179, 540, 21496, 1942, 2208, 3587, 31417, 269, 901, 568, 1152, 519, 17149, 12343, 540, 513, 7623, 532, 1297, 2507, 1415, 1297, 2336, 2467, 568, 606, 5140, 3896, 602, 6941, 519, 1764, 540, 513, 7623, 532, 1297, 269, 3848, 476, 275, 540, 3220, 269, 18281, 6742, 21672, 779, 968, 24979, 1662, 6092, 892, 3947, 513, 476, 274, 18826, 24669, 7778, 540, 519, 1966, 563, 763, 18631, 3848, 476, 274, 630, 1015, 3764, 264, 3947, 513, 811, 2143, 7778, 269, 654, 10248, 2901, 540, 519, 11271, 786, 12172, 2899, 543, 585, 782, 519, 14196, 29270, 3619, 742, 560, 1144, 27710, 16558, 563, 1103, 1249, 267, 621, 1522, 711, 581, 513, 3983, 2856, 936, 942, 630, 12671, 476, 274, 3108, 264, 547, 4585, 782, 519, 11271, 547, 1205, 513, 9787, 540, 519, 2883, 26708, 5721, 602, 568, 3046, 516, 1782, 1524, 519, 13475, 630, 663, 1018, 547, 798, 264, 2507, 520, 782, 540, 721, 2336, 1432, 649, 949, 581, 26164, 568, 519, 2009, 2883, 9552, 540, 519, 1647, 1362, 543, 519, 2104, 540, 938, 1453, 269, 4208, 1131, 3743, 4079, 917, 5944, 1450, 713, 547, 4755, 286, 4208, 888, 763, 1249, 602, 513, 2603, 540, 713, 568, 3361, 676, 519, 3527, 30032, 13905, 540, 1004, 23493, 538, 667, 5861, 269, 568, 513, 1966, 563, 14085, 540, 713, 568, 5921, 547, 19225, 523, 610, 25657, 1004, 269, 898, 568, 1175, 513, 1289, 547, 1205, 3564, 1373, 20158, 543, 538, 24677, 7282, 513, 18447, 4305, 269, 3619, 742, 560, 1144, 7264, 991, 547, 1205, 14220, 630, 520, 519, 1318, 1004, 264, 543, 1205, 883, 2962, 547, 1689, 1919, 910, 1927, 269, 12085, 991, 547, 1689, 2507, 663, 972, 568, 513, 2462, 1966, 563, 10527, 1966, 609, 1966, 6061, 568, 10747, 519, 1966, 1848, 968, 763, 1966, 281, 1703, 786, 2760, 581, 1514, 5126, 609, 2804, 21440, 256, 9483, 5126, 3340, 3280, 2724, 256, 4635, 2584, 665, 641, 1512, 2724, 568, 5667, 895, 17373, 1548, 649, 616, 6158, 827, 513, 7372, 2179, 540, 7963, 2451, 585, 2104, 5481, 2336, 763, 1101, 3364, 547, 798, 568, 13599, 1004, 543, 798, 930, 2146, 23793, 269, 2913, 721, 2253, 519, 5692, 563, 296, 1175, 2219, 454, 7474, 596, 1185, 513, 968, 14738, 547, 5700, 892, 630, 305, 273, 298, 4700, 0, 1103, 476, 9264, 274, 267, 519, 6752, 762, 3703, 18048, 5261, 18264, 1399, 1500, 513, 2027, 7552, 547, 8303, 547, 4444, 5128, 513, 1007, 4062, 540, 3937, 585, 1010, 18638, 563, 2005, 7012, 1406, 606, 1574, 601, 610, 26814, 646, 729, 1310, 267, 855, 513, 1272, 20695, 812, 928, 23936, 602, 646, 1223, 946, 547, 2203, 519, 9660, 12816, 676, 519, 5396, 538, 1010, 5961, 269, 18264, 1399, 729, 711, 8966, 538, 1210, 812, 928, 638, 1231, 547, 1796, 538, 585, 2661, 3631, 538, 1010, 960, 269, 769, 519, 476, 866, 628, 2540, 968, 26792, 5515, 5608, 607, 789, 616, 5265, 1634, 267, 941, 2808, 1898, 2645, 585, 5159, 1317, 789, 5795, 1480, 3631, 513, 2736, 543, 849, 14284, 513, 3510, 1141, 5256, 26719, 1185, 547, 1353, 19157, 4775, 5515, 17946, 1653, 19861, 269, 1306, 18264, 1399, 6045, 538, 513, 4484, 689, 8303, 547, 1010, 7015, 281, 968, 7069, 7344, 6006, 2987, 2389, 8565, 568, 711, 2347, 1510, 713, 3034, 763, 3943, 3854, 693, 713, 942, 729, 519, 8998, 585, 812, 928, 23936, 1818, 543, 18264, 1399, 729, 2111, 547, 1931, 519, 20923, 2203, 2139, 689, 519, 13186, 540, 6754, 13535, 582, 269, 1261, 6976, 1018, 646, 2808, 519, 968, 1952, 16226, 892, 2040, 540, 11278, 4366, 585, 1010, 812, 928, 23936, 1107, 513, 4775, 4137, 2347, 609, 28077, 17873, 543, 513, 13556, 2212, 1107, 543, 3576, 6765, 513, 1032, 2663, 563, 288, 2482, 4137, 676, 13535, 582, 3217, 11348, 540, 1747, 538, 513, 1007, 14266, 267, 693, 11062, 779, 23575, 15884, 3554, 7467, 267, 799, 6054, 519, 4241, 1909, 519, 812, 928, 23936, 814, 5129, 538, 1148, 1686, 269, 595, 6817, 8125, 550, 16890, 267, 621, 3217, 721, 689, 519, 9998, 6592, 946, 540, 812, 928, 638, 1231, 538, 519, 11193, 630, 309, 553, 926, 19528, 513, 1272, 20695, 2203, 538, 519, 18638, 540, 17793, 19258, 565, 558, 1889, 334, 1070, 998, 741, 30971, 1485, 538, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 543, 909, 547, 519, 1459, 1554, 563, 1432, 1058, 1118, 519, 1397, 513, 1483, 15624, 1790, 1638, 518, 568, 519, 9058, 17381, 540, 519, 3615, 593, 4159, 269, 3683, 519, 1576, 540, 1614, 1296, 267, 1225, 1807, 13191, 16189, 549, 543, 1200, 2319, 723, 6537, 1927, 513, 4015, 540, 519, 1034, 7415, 812, 928, 638, 1231, 538, 6228, 267, 607, 1134, 607, 811, 982, 476, 5197, 1568, 540, 1148, 538, 799, 2482, 5515, 616, 1634, 547, 723, 1044, 1031, 563, 763, 1267, 949, 1256, 9983, 519, 4966, 269, 3245, 513, 5373, 676, 17793, 19258, 565, 558, 1889, 334, 540, 476, 14983, 280, 267, 547, 10367, 676, 717, 1622, 28386, 267, 26440, 553, 543, 3938, 321, 564, 267, 5961, 10536, 513, 1007, 16982, 950, 649, 1174, 602, 891, 5159, 941, 3168, 693, 812, 928, 638, 1231, 950, 789, 13556, 873, 269, 3973, 972, 616, 519, 2482, 5515, 2933, 267, 891, 9490, 267, 1272, 6438, 3615, 799, 1831, 782, 519, 811, 20807, 532, 1107, 610, 968, 15635, 15967, 892, 607, 22506, 4330, 873, 1107, 950, 649, 917, 602, 789, 941, 2899, 575, 18968, 2390, 865, 561, 990, 5944, 676, 590, 1157, 1068, 610, 7085, 9820, 563, 4517, 519, 1397, 3085, 1406, 21183, 2476, 689, 6236, 519, 4241, 1909, 812, 928, 638, 1231, 723, 2141, 5129, 607, 6698, 585, 4638, 7287, 543, 10099, 880, 269, 3245, 29191, 573, 779, 9661, 540, 12877, 326, 7356, 542, 9991, 538, 2648, 27477, 267, 891, 20533, 3425, 723, 2141, 1044, 3615, 540, 14810, 543, 9345, 269, 3371, 616, 3670, 540, 519, 1034, 14984, 689, 519, 14266, 912, 272, 6754, 13535, 582, 779, 17828, 8303, 1329, 928, 454, 273, 3627, 31231, 1777, 7085, 9820, 779, 9741, 4477, 704, 454, 274, 19124, 590, 1157, 1068, 779, 23942, 6184, 17508, 454, 275, 21142, 2142, 17662, 779, 1546, 1260, 19397, 667, 3326, 454, 276, 269, 744, 12921, 541, 918, 758, 657, 577, 6390, 779, 2048, 310, 2674, 538, 9791, 20371, 277, 269, 25455, 543, 667, 16394, 28331, 2006, 779, 2048, 291, 3089, 4132, 20371, 2005, 729, 609, 741, 23892, 1126, 812, 928, 638, 1231, 23242, 4638, 8219, 607, 11132, 2934, 602, 519, 28331, 2006, 14552, 1101, 3357, 547, 23146, 607, 5159, 538, 519, 2038, 476, 1960, 271, 338, 269, 769, 1082, 2081, 891, 1568, 3274, 1118, 16765, 519, 1065, 5962, 2144, 5328, 6720, 553, 625, 602, 723, 1044, 15810, 593, 547, 5159, 685, 812, 928, 638, 1231, 2429, 741, 1686, 269, 667, 3089, 4132, 267, 513, 811, 2487, 960, 676, 519, 28331, 332, 753, 267, 6770, 547, 2247, 519, 1686, 540, 4719, 17634, 630, 1156, 576, 519, 2220, 770, 11986, 3983, 613, 1040, 1809, 538, 519, 2796, 540, 713, 14266, 267, 621, 568, 849, 1175, 519, 5767, 1383, 538, 519, 1279, 22871, 540, 812, 928, 638, 1231, 1031, 676, 5159, 547, 28596, 267, 796, 3553, 1479, 610, 10508, 721, 563, 8072, 22068, 550, 16890, 281, 30310, 543, 2494, 928, 23936, 689, 9577, 547, 674, 564, 880, 685, 568, 693 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18511, 272, 2410, 343, 630, 343, 266, 273, 264, 6525, 3767, 267, 1210, 13177, 1472, 1269, 343, 284, 271, 259, 610, 23481, 7269, 6695, 6912, 346, 273, 1535, 317, 273, 266, 275, 1535, 266, 272, 13157, 272, 266, 273, 1535, 14870, 317, 273, 266, 273, 1535, 317, 274, 266, 302, 13375, 3287, 317, 275, 9368, 14638, 6695, 6912, 314, 274, 31765, 275, 1535, 317, 274, 266, 1321, 1535, 317, 273, 266, 280, 1535, 266, 272, 13157, 272, 266, 274, 1535, 268, 276, 1535, 317, 273, 10954, 2765, 346, 6858, 25452, 274, 26507, 317, 274, 266, 302, 13375, 3287, 317, 275, 9368, 14638, 6695, 6912, 346, 273, 1535, 317, 273, 266, 275, 1535, 266, 272, 348, 1422, 6912, 314, 274, 31765, 275, 1535, 317, 274, 266, 1321, 1535, 317, 273, 266, 280, 1535, 266, 272, 13157, 272, 266, 276, 1535, 10954, 2765, 346, 4097, 1535, 317, 274, 2410, 274, 15396, 302, 13375, 3287, 317, 275, 9368, 14638, 1818, 3230, 288, 7807, 2765, 346, 276, 2410, 273, 32757, 2765, 346, 276, 25452, 275, 26507, 266, 302, 13375, 3287, 317, 273, 9368, 264, 9681, 3519, 1356, 940, 519, 2034, 1448, 267, 949, 594, 2303, 596, 4729, 4278, 1599, 585, 1269, 268, 272, 1422, 19008, 512, 1422, 19008, 476, 273, 259, 7790, 1411, 1058, 1174, 1946, 713, 1297, 780, 763, 7215, 2303, 4259, 1269, 339, 815, 1422, 6523, 1535, 10608, 634, 3970, 21810, 547, 692, 7445, 6234, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 348, 815, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 348, 1341, 315, 6912, 3189, 6523, 476, 273, 343, 348, 910, 1422, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 10592, 3086, 267, 4399, 13320, 346, 272, 10559, 6912, 3189, 6523, 476, 273, 343, 24828, 7562, 317, 273, 1535, 348, 815, 1422, 13320, 346, 272, 10559, 6523, 476, 273, 343, 7346, 7562, 317, 273, 1535, 630, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 348, 14587, 815, 1422, 13320, 346, 273, 2410, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 3686, 1422, 21375, 476, 272, 259, 607, 1269, 343, 1422, 21375, 476, 271, 6911, 663, 4399, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 910, 1422, 6912, 3189, 6523, 476, 273, 343, 7684, 1422, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 7346, 7562, 317, 273, 1535, 348, 815, 1422, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 3847, 263, 272, 10559, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 264, 7346, 7562, 317, 273, 1535, 10592, 259, 7807, 13320, 3189, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 3847, 263, 272, 10559, 6523, 476, 274, 343, 1422, 2431, 264, 7346, 7562, 317, 273, 1535, 1422, 3847, 263, 272, 10954, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 266, 1422, 3847, 7268, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 8203, 273, 1422, 2431, 264, 10592, 259, 7807, 13320, 346, 273, 1422, 6912, 3189, 6523, 476, 273, 343, 348, 1422, 7562, 317, 273, 1422, 13320, 346, 274, 343, 2410, 273, 348, 476, 7346, 7562, 317, 273, 1535, 1422, 3847, 263, 272, 10954, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 266, 1422, 3847, 7268, 6912, 1496, 274, 316, 11513, 6523, 476, 274, 343, 7684, 1422, 2431, 8203, 273, 1422, 2431, 264, 10592, 259, 7807, 6234, 1422, 3916, 3709, 343, 1422, 21375, 476, 271, 348, 1422, 13320, 346, 272, 10559, 6523, 476, 273, 343, 1422, 6523, 476, 274, 343, 476, 7346, 7562, 317, 273, 1535, 630, 272, 10954, 6912, 3189, 6523, 476, 273, 343, 1422, 6523, 476, 274, 343, 7684, 14587, 1422, 21375, 1422, 13320, 346, 274, 2410, 273, 4151, 607, 1269, 343, 1422, 21375, 476, 271, 6911, 17798, 519, 3970, 11224, 1269, 272, 10954, 13320, 346, 274, 2410, 273, 348, 815, 1422, 13320, 346, 276, 2410, 273, 10592, 1892, 901, 835, 568, 711, 12863, 3379, 547, 519, 3312, 3970, 269, 634, 15821, 3970, 568, 3362, 17411, 676, 2409, 540, 7223, 538, 476, 274, 267, 275, 3268, 269, 1656, 707, 8945, 1568, 1152, 1317, 519, 4082, 729, 6074, 538, 602, 6073, 269, 1548, 1131, 596, 798, 952, 1269, 275, 339, 317, 274, 268, 274, 339, 259, 729, 4957, 547, 1269, 276, 339, 317, 275, 268, 275, 339, 259, 286, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 2641, 454, 1892, 594, 993, 4758, 1776, 5133, 267, 609, 1100, 6811, 547, 621, 1373, 811, 17715, 610, 9120, 610, 7347, 269, 901, 1880, 1966, 4667, 547, 723, 1044, 1305, 1210, 4645, 2655, 4801, 538, 2247, 269, 4014, 1247, 1603, 621, 856, 4628, 621, 949, 3100, 1279, 267, 855, 609, 2614, 2259, 4645, 7182, 616, 2523, 21443, 762, 547, 2790, 9819, 269, 1107, 1109, 295, 926, 1744, 1678, 541, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 1789, 454, 1892, 594, 723, 711, 2016, 513, 8917, 2864, 1175, 513, 6085, 705, 339, 519, 3070, 543, 594, 1810, 1405, 3858, 602, 4645, 7182, 616, 2523, 21443, 762, 547, 2790, 9273, 3379, 547, 15821, 7182, 269, 10819, 971, 607, 891, 616, 6296, 2436, 789, 581, 25066, 610, 15821, 543, 621, 1281, 711, 2339, 799, 1935, 596, 3442, 269, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 4343, 454, 1892, 769, 602, 2013, 707, 6085, 568, 13061, 543, 1799, 1468, 1107, 1109, 295, 926, 1744, 1678, 541, 5463, 476, 1240, 1412, 1704, 693, 476, 275, 281, 5655, 454, 1892, 12344, 596, 31495, 2181, 1540, 1250, 2063, 6085, 269, 594, 4941, 547, 2161, 602, 891, 2042, 616, 3362, 17411, 676, 741, 2067, 4485, 543, 972, 568, 1100, 991, 547, 6460, 606, 15821, 1966, 883, 513, 25066, 835, 543, 13030, 17930, 630, 2254, 532, 602, 971, 24740, 949, 711, 2141, 581, 2009, 1040, 1809, 594, 7058, 596, 616, 811, 3608, 609, 4645, 9163, 982, 15821, 3283, 267, 865, 581, 621, 269, 1107, 1109, 13640, 16120, 663, 19453, 5463, 476, 1240, 1412, 1704, 693, 476, 276, 281, 6860, 692, 8794, 519, 7862, 3230, 343, 268, 272, 7807, 2765, 12757, 317, 277, 268, 272, 2410, 272, 21147, 21147, 317, 273, 21147, 317, 274, 21147, 317, 275, 21147, 317, 276, 9574, 2330, 649, 1205, 630, 6748, 16423, 1090, 24488, 547, 4228, 543, 1287, 547, 7941, 264, 1422, 8218, 9387, 348, 1422, 2765, 3189, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339, 317, 273, 268, 272, 31905, 7807, 2765, 2715, 20719, 273, 339, 317, 273, 268, 272, 348, 8203, 274, 20719, 275, 339, 317, 274, 268, 274, 339, 348, 8203, 273, 268, 272, 2410, 263, 339, 317, 273, 268, 272, 9385, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1299, 7807, 2765, 24877, 272, 910, 476, 280, 512, 317, 273, 1341, 476, 4281, 512, 317, 275, 910, 476, 28803, 512, 317, 277, 1341, 476, 27174, 512, 317, 279, 910, 476, 29575, 512, 3867, 1015, 348, 1341, 476, 12553, 512, 3867, 1321, 12453, 263, 339, 317, 273, 268, 272, 9385, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1299, 7807, 2765, 346, 272, 1341, 476, 1015, 512, 317, 273, 910, 476, 6924, 512, 317, 275, 1341, 476, 1220, 512, 317, 277, 910, 476, 16348, 512, 317, 279, 1341, 476, 12553, 512, 3867, 1015, 24828, 8999, 3709, 330, 284, 271, 11892, 276, 263, 2715, 273, 339, 317, 273, 268, 272, 16585, 3867, 330, 270, 273, 12917, 346, 275, 339, 317, 274, 268, 274, 339, 16585, 3867, 330, 270, 274, 3686, 11138, 1422, 8607, 1422, 754, 9387, 348, 1280, 1269, 339, 284, 272, 259, 649, 1205, 6695, 2765, 346, 272, 1341, 1015, 268, 6924, 266, 1220, 268, 16348, 266, 12553, 2410, 263, 272, 266, 272, 266, 272, 266, 272, 266, 272, 266, 272, 14587, 7807, 2765, 346, 1428, 2410, 277, 18098, 2765, 7367, 269, 9681, 1892, 594, 1498, 540, 713, 693, 1101, 267, 855, 621, 568, 1175, 1932, 1454, 960, 269, 1703, 568, 513, 8945, 547, 14458, 1919, 267, 1294, 1250, 2626, 269, 1107, 1109, 305, 2940, 5576, 23124, 639, 5463, 476, 1240, 1412, 1704, 693, 476, 271, 281, 7871, 454, 1892, 1656, 1269, 339, 19749, 486, 6629, 271, 269, 279, 5392, 30663, 14138, 26605, 30640, 286, 259, 1107, 1109, 13043, 299, 1478, 5463, 476, 1240, 1412, 1704, 693, 476, 271, 281, 7918, 454, 1892, 594, 21645, 6956, 1505, 267, 855, 1341, 272, 269, 1107, 1109, 13043, 299, 1478, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 4962, 454, 1892, 7711, 13043, 299, 1478, 281, 782, 594, 1705, 568, 946, 519, 4542, 689, 519, 4098, 267, 543, 519, 4228, 543, 7941, 21335, 609, 519, 948, 540, 16423, 1090, 24488, 269, 2659, 1269, 268, 271, 269, 10019, 315, 24126, 259, 568, 4625, 13061, 269, 1280, 3236, 267, 4399, 3916, 4671, 29540, 272, 348, 339, 317, 273, 284, 272, 10608, 14572, 1269, 339, 317, 273, 284, 272, 259, 543, 13844, 1269, 268, 272, 259, 607, 513, 3070, 568, 11613, 13061, 547, 519, 3970, 269, 1107, 1109, 32354, 1488, 3455, 9564, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 1015, 454, 1892, 594, 1705, 519, 9819, 1510, 18896, 1090, 543, 962, 2464, 789, 616, 1454, 12863, 269, 1107, 1109, 305, 2940, 5576, 23124, 639, 5463, 476, 1240, 1412, 1704, 693, 476, 272, 281, 2420, 692, 4131, 779, 1305, 1384, 11377, 2765, 11513, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339, 317, 273, 268, 272, 348, 1422, 15153, 512, 7807, 6523, 1535, 1422, 15153, 1535, 29540, 271, 9681, 11377, 2765, 11513, 6912, 2715, 273, 315, 6523, 317, 273, 343, 268, 272, 4153, 6912, 314, 274, 31765, 275, 315, 6523, 317, 274, 1535, 268, 274, 315, 6523, 1535, 18511, 272, 2410, 10559, 7562, 317, 273, 343, 348, 815, 1422, 2765, 11513, 6912, 11513, 6523, 476, 273, 343, 4153, 6912, 314, 274, 27037, 6523, 1535, 263, 273, 315, 6523, 476, 273, 343, 268, 272, 14587, 268, 272, 2410, 10559, 7562, 317, 273, 343, 15732, 3528, 13177, 3126, 649, 723, 1384, 11377, 6523, 1535, 284, 272, 10559, 2765, 12757, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 264, 9681, 2330, 263, 272, 21147, 8203, 333, 284, 272, 266, 333, 343, 266, 334, 3287, 264, 9681, 13295, 1384, 2330, 7807, 2765, 11513, 6912, 2715, 272, 268, 273, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 6912, 314, 274, 316, 18950, 272, 10559, 2765, 12757, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 4297, 263, 272, 268, 275, 343, 317, 273, 266, 334, 3287, 317, 273, 4297, 18511, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 13157, 9681, 2330, 7807, 2765, 11513, 6912, 2715, 272, 268, 273, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 6912, 314, 274, 316, 18950, 272, 10559, 2765, 346, 280, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 14587, 268, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 13157, 9681, 2330, 7807, 2765, 2715, 18950, 272, 14870, 317, 273, 266, 334, 3287, 317, 273, 20972, 263, 272, 10559, 2765, 346, 274, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 4297, 18511, 272, 2410, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 14587, 7807, 2765, 2715, 10559, 2765, 346, 276, 343, 317, 273, 2410, 273, 15396, 334, 3287, 317, 273, 20972, 268, 343, 317, 273, 266, 334, 3287, 317, 273, 264, 4153, 1729, 1422, 2765, 7367, 9681, 27237, 292, 692, 11377, 2765, 11513, 6912, 2715, 273, 339, 317, 273, 268, 272, 4153, 6912, 314, 274, 31765, 275, 339, 317, 274, 268, 274, 339, 18511, 272, 2410, 339 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4407, 519, 10515, 32683, 21895, 8959, 547, 1205, 782, 2477, 593, 4604, 593, 519, 3390, 540, 2916, 1689, 32586, 16156, 5450, 549, 12565, 15278, 630, 19699, 13612, 264, 6811, 547, 723, 20077, 856, 513, 3039, 2619, 585, 3294, 563, 763, 20336, 13612, 814, 11643, 513, 11162, 4886, 11115, 1143, 630, 7374, 300, 264, 11556, 547, 519, 12080, 540, 5113, 543, 5983, 7370, 547, 7118, 3327, 17099, 585, 519, 1110, 531, 6521, 540, 5450, 549, 862, 26407, 269, 634, 7954, 281, 5450, 549, 862, 26407, 616, 7303, 3327, 5434, 676, 1210, 1857, 3560, 267, 553, 10353, 547, 4357, 6517, 563, 763, 18591, 568, 6236, 519, 1788, 269, 1403, 621, 2501, 998, 267, 527, 568, 2693, 547, 1930, 9885, 585, 2147, 7131, 300, 3785, 585, 824, 1857, 3560, 1949, 519, 595, 7582, 24507, 22084, 21826, 3690, 527, 1062, 267, 1721, 1383, 22698, 746, 581, 835, 563, 5194, 7131, 300, 1788, 540, 519, 16156, 5450, 549, 9494, 1648, 998, 27532, 29584, 538, 14884, 814, 849, 13175, 547, 986, 651, 538, 3327, 17099, 269, 901, 2306, 16156, 5450, 549, 519, 1101, 2229, 8116, 538, 519, 13317, 25467, 519, 1101, 16749, 1062, 538, 519, 1158, 267, 1729, 7118, 3327, 17099, 269, 7201, 519, 1482, 1788, 267, 19699, 13612, 786, 1631, 7118, 17099, 585, 922, 1101, 5123, 540, 5106, 1063, 476, 1220, 275, 543, 476, 1220, 278, 563, 763, 4493, 540, 519, 1007, 7131, 300, 11556, 568, 602, 649, 616, 19011, 1154, 3327, 5434, 998, 519, 1110, 531, 6521, 540, 862, 26407, 689, 4357, 6517, 547, 2973, 1857, 3560, 267, 513, 20336, 13612, 4013, 1767, 563, 763, 1297, 540, 862, 26407, 1210, 519, 5450, 549, 267, 11743, 6112, 267, 529, 2469, 909, 2066, 782, 6688, 540, 6174, 5411, 269, 634, 4013, 1767, 281, 1284, 723, 1336, 602, 1004, 26539, 1079, 2914, 31856, 619, 945, 946, 519, 5450, 549, 2799, 689, 476, 3953, 829, 1298, 538, 476, 1220, 278, 547, 476, 5780, 829, 1298, 693, 1459, 269, 6684, 267, 8364, 5411, 1210, 938, 14884, 4682, 909, 689, 476, 7367, 829, 1298, 538, 476, 1220, 278, 547, 476, 7830, 829, 1298, 538, 476, 1220, 280, 563, 19699, 13612, 814, 1175, 2322, 856, 513, 2518, 13035, 585, 519, 1655, 3902, 585, 21816, 776, 2506, 2153, 11087, 2388, 630, 23615, 264, 585, 922, 29584, 7131, 300, 269, 634, 3355, 7131, 300, 1788, 729, 585, 519, 476, 1220, 278, 268, 1001, 278, 1974, 267, 1721, 799, 20336, 13612, 814, 12236, 476, 275, 32763, 3327, 17099, 630, 1492, 1871, 540, 1142, 5491, 568, 1063, 1269, 476, 1724, 547, 1269, 476, 1789, 267, 24119, 2056, 593, 519, 3327, 2344, 1916, 3086, 267, 19699, 13612, 666, 7118, 476, 3445, 267, 1822, 811, 966, 2207, 338, 585, 519, 476, 1220, 275, 268, 1220, 278, 1974, 267, 15290, 519, 14884, 1101, 2968, 10512, 269, 0, 310, 344, 671, 24841, 12267, 281, 29851, 4325, 6545, 5455, 568, 519, 1101, 538, 513, 3126, 540, 2571, 1983, 3756, 585, 3214, 269, 24812, 24917, 2792, 267, 14375, 267, 543, 1966, 6061, 1983, 2556, 547, 12167, 585, 2933, 543, 1866, 269, 1325, 11220, 609, 519, 2817, 9752, 11621, 585, 661, 6369, 24935, 543, 23016, 267, 519, 3014, 2488, 513, 5748, 267, 602, 7258, 824, 2238, 267, 666, 1267, 538, 513, 2318, 1565, 1995, 563, 10287, 519, 1650, 540, 29851, 267, 513, 2875, 693, 19785, 671, 24841, 4400, 3427, 945, 568, 9991, 3297, 538, 1362, 269, 29851, 8188, 2189, 1514, 2591, 543, 9620, 609, 10128, 513, 1007, 2875, 267, 570, 27462, 267, 883, 519, 1514, 6429, 269, 5269, 5079, 585, 29851, 547, 1294, 875, 519, 1650, 4249, 856, 269, 4024, 570, 27462, 581, 7608, 538, 519, 1895, 286, 4024, 29851, 3251, 2828, 609, 18706, 286, 6496, 29851, 1439, 519, 1032, 609, 513, 1434, 2614, 3446, 547, 979, 547, 6611, 8805, 286, 1411, 1689, 519, 6364, 1759, 593, 707, 3664, 563, 310, 344, 671, 24841, 12267, 7740, 1472, 5188, 2861, 5872, 269, 24812, 7119, 538, 513, 1915, 12454, 1650, 1500, 909, 540, 513, 3126, 540, 7391, 267, 8939, 6114, 693, 1883, 795, 9417, 999, 269, 634, 6114, 2099, 1210, 630, 528, 711, 1210, 264, 519, 1883, 5615, 547, 8795, 5232, 269, 2311, 519, 1439, 540, 519, 3014, 267, 519, 6345, 11392, 5955, 827, 741, 2773, 267, 7175, 10956, 1404, 4724, 17117, 563, 310, 344, 671, 24841, 12267, 2934, 912, 268, 1321, 2189, 30804, 1759, 593, 519, 6345, 779, 3664, 563, 268, 279, 31042, 3662, 3197, 563, 5937, 564, 9229, 5955, 593, 519, 6345, 779, 946, 540, 14223, 1983, 563, 5025, 22429, 3992, 689, 6004, 269, 918, 593, 1018, 621, 1797, 547, 12167, 585, 3054, 543, 1866, 563, 5472, 3756, 538, 519, 19785, 671, 24841, 12267, 3126, 941, 2919, 538, 11450, 609, 519, 3117, 24832, 1280, 5398, 4065, 269, 634, 3804, 540, 8713, 292, 568, 547, 2327, 602, 1169, 2875, 20021, 689, 1164, 1153, 609, 513, 6101, 267, 14323, 1544, 602, 4267, 519, 2055, 267, 968, 8005, 993, 594, 286, 5608, 968, 8005, 798, 594, 1616, 547, 581, 286, 5608, 543, 968, 1692, 798, 594, 1205, 972, 9495, 563, 1607, 1788, 729, 14102, 676, 513, 9886, 689, 519, 10830, 2006, 7690, 267, 1759, 538, 29016, 563, 268, 18264, 322, 2678, 320, 3798, 583, 664, 618, 267, 5549, 563, 268, 476, 4391, 277, 269, 276, 15406, 454, 268, 10671, 2231, 25515, 476, 279, 269, 271, 610, 2663, 269, 3281, 26702, 609, 21236, 267, 27317, 267, 543, 19503, 617, 5905, 563, 268, 6520, 28951, 454, 268, 681, 730, 476, 275, 32504, 268, 9736, 3117, 24832, 585, 5398, 4065, 267, 476, 1001, 278, 454, 4415, 7731, 19457, 1305, 909, 267, 909, 547, 3670, 1920, 2818, 666, 946, 713, 813, 269, 0, 763, 9416, 2389, 6260, 1449, 630, 10499, 307, 264, 568, 513, 5778, 17595, 1670, 1449, 602, 12116, 5179, 8647, 267, 4481, 267, 5179, 3432, 543, 14694, 1242, 11558, 269, 4438, 7245, 267, 519, 1641, 781, 13869, 1058, 581, 1799, 9394, 543, 6366, 593, 519, 4604, 267, 609, 11263, 6905, 267, 543, 519, 4994, 1265, 518, 5116, 593, 519, 10203, 3926, 269, 2290, 1688, 693, 513, 942, 267, 5396, 7148, 741, 4994, 9416, 593, 519, 11573, 607, 3533, 607, 2009, 1369, 513, 476, 1015, 1606, 942, 8884, 267, 538, 1931, 547, 2333, 519, 1297, 593, 519, 10203, 3926, 609, 1142, 7148, 269, 634, 3312, 5650, 7125, 585, 2947, 15654, 8062, 1369, 513, 476, 276, 15304, 2039, 585, 1142, 1688, 267, 855, 7648, 1331, 513, 2698, 540, 3670, 8062, 267, 538, 1079, 5036, 540, 1614, 269, 11778, 689, 674, 10499, 666, 581, 3379, 547, 2085, 543, 4008, 29708, 1239, 543, 949, 5815, 5179, 15717, 610, 14694, 1242, 2634, 14524, 269, 634, 674, 22721, 568, 3769, 538, 519, 16199, 560, 1737, 268, 3725, 11939, 5778, 1186, 1097, 327, 1670, 1449, 6007, 563, 763, 674, 22721, 949, 581, 3769, 607, 851, 540, 513, 3102, 2483, 27066, 543, 3367, 902, 454, 268, 13642, 267, 595, 269, 808, 1421, 10507, 701, 6261, 10623, 11717, 267, 623, 1421, 1299, 654, 778, 338, 2401, 6363, 601, 1457, 267, 808, 269, 630, 1220, 271, 1040, 11879, 2152, 538, 5778, 17595, 1108, 281, 11671, 17595, 1670, 12496, 540, 6662, 5626, 4255, 269, 1715, 3840, 281, 918, 1663, 4546, 14288, 270, 5522, 523, 636, 32155, 10104, 454, 268, 1234, 11939, 267, 681, 269, 631, 1421, 1299, 16423, 5459, 267, 667, 269, 630, 2735, 276, 1040, 11671, 534, 10532, 543, 5778, 12949, 1108, 269, 570, 1075, 5459, 267, 589, 313, 281, 11671, 17595, 1108, 4964, 32155, 10104, 454, 268, 18135, 1380, 267, 661, 1421, 15593, 2006, 267, 661, 269, 631, 269, 590, 1421, 1299, 1975, 2240, 267, 744, 269, 630, 1220, 277, 1040, 589, 735, 754, 1756, 540, 5778, 1186, 1097, 327, 1670, 4255, 281, 10029, 267, 8155, 267, 543, 16555, 630, 274, 6113, 1196, 12175, 10228, 281, 10228, 2160, 4964, 32155, 10104, 0, 6124, 4066, 538, 2489, 543, 7784, 335, 32535, 9604, 538, 1880, 723, 513, 7683, 23503, 1909, 538, 519, 1646, 540, 13137, 267, 543, 621, 568, 547, 713, 7521, 602, 26450, 590, 269, 8065, 8309, 1010, 1454, 32571, 1353, 267, 1284, 777, 976, 543, 2782, 11071, 538, 11193, 2342, 269, 8065, 7710, 519, 25465, 540, 1007, 9604, 883, 4108, 12485, 689, 519, 2085, 540, 519, 1279, 11312, 538, 519, 3735, 19412, 18818, 2540, 547, 519, 4367, 540, 519, 16537, 565, 538, 519, 31303, 7868, 1433, 6212, 267, 2705, 267, 593, 519, 20281, 540, 7399, 543, 7687, 602, 519, 1646, 540, 7784, 335, 32535, 9604, 6035, 547, 3864, 7952, 4971, 619, 563, 2026, 513, 9295, 1312, 547, 4108, 1686, 543, 547, 519, 1686, 540, 2029, 267, 713, 1433, 2488, 513, 3407, 5133, 269, 2334, 5133, 1223, 581, 2040, 4364, 909, 630, 531, 18464, 1487, 551, 1947, 264, 538, 519, 8360, 22524, 8817, 4720, 269, 5637, 519, 968, 332, 26090, 4838, 892, 543, 519, 968, 30516, 335, 32535, 4838, 2223, 547, 799, 519, 5449, 568, 1419, 24027, 267, 1265, 513, 1033, 847, 528, 538, 8065, 779, 1353, 540, 1883, 6370, 6386, 543, 741, 6935, 547, 16795, 6639, 1646, 538, 14049, 787, 269, 8065, 2953, 338, 5187, 2065, 3140, 6386, 602, 1224, 513, 5276, 11144, 5196, 1804, 14598, 802, 540, 942, 676, 6029, 721, 519, 811, 11821, 267, 3006, 20718, 267, 968, 10520, 845, 725, 892, 602, 7018, 538, 4108, 12485, 543, 4108, 4066, 563, 22818, 519, 1034, 1271, 540, 891, 14759, 3576, 1747, 538, 519, 6957, 18818, 2540, 269, 769, 7421, 621, 267, 8065, 6799, 721, 609, 513, 598, 1495, 5300, 281, 952, 7784, 335, 32535, 9604, 543, 10514, 1841, 7902, 538, 2342, 1282, 519, 1101, 3368, 540, 519, 2185, 18818, 2540, 267, 1946, 729, 621, 711, 2394, 519, 31303, 2540, 602, 891, 9604, 2968, 3844, 547, 13137, 286, 1261, 849, 2488, 721, 609, 519, 2626, 281, 621, 729, 10502, 538, 519, 968, 23437, 599, 892, 540, 519, 6957, 18818, 2540, 602, 865, 1454, 17634, 543, 1646, 3576, 1747, 269, 634, 4674, 547, 6451, 32205, 883, 840, 1410, 12371, 12331, 540, 6370, 543, 547, 7753, 741, 2930, 543, 22237, 7965, 3576, 1082, 23538, 543, 7140, 269, 7324, 891, 267, 8065, 17188, 2027, 3007, 547, 519, 13217, 906, 538, 7784, 335, 32535, 1818, 267, 12077, 267, 7784, 335, 32535, 779, 1646, 607, 513, 811, 22237, 543, 13387, 1587, 267, 543, 513, 811, 15409, 835, 269, 1452, 13217, 906, 267, 2705, 267, 616, 849, 13615, 547, 1496, 17484, 8525, 476, 16328, 316, 22524, 8817, 7835, 540, 7784, 1818, 3294, 269, 4258, 1653, 7784, 335, 32535, 4847, 585, 3677, 1532, 648, 267, 3476, 28994, 976, 267, 543, 519, 1646, 540, 1351, 940, 2553, 15469, 519, 2500, 14226, 540, 1007, 9376, 6127, 538, 1688, 18988, 25044, 563, 2252, 2696, 568, 538, 519, 3877, 267, 26450, 8065, 1590, 581, 513, 3909, 812, 269, 3571, 960, 568, 22125, 609, 3638, 543, 9867, 3877, 543, 4296, 269, 11569, 621, 568, 519, 1507, 5647, 267, 971, 607, 519, 1351, 2740, 7784, 335, 32535, 267, 547, 799, 646, 1034, 1419, 1463, 338, 1010, 3007, 607, 2348, 1082, 540, 519, 6574, 29298, 269, 1261, 669, 1938, 12206, 945, 960, 593, 2663, 5553, 585, 26471, 2360, 547, 7784, 335, 32535, 2029, 1510, 7282, 2933, 609, 519, 8792, 3157, 676, 799, 602, 2029, 3357, 547, 2927, 819, 269, 2755, 713, 568, 4023, 2614, 267, 8065, 779, 1378, 1990, 652, 585, 31278, 10124, 949, 4734, 891, 1360, 12206, 1869, 8288, 1359, 585, 513, 6626, 7650, 540, 519, 2175, 538, 799, 519, 1007, 29415, 540, 31303, 10601, 13137, 729, 6603, 563, 27860, 1227, 267, 1247, 8065, 1654, 515, 618, 569, 1727, 4680, 519, 21465, 4661, 676, 799, 2983, 32015, 26436, 13986, 547, 3715, 519, 968, 332, 26090, 4838, 892, 538, 519, 31303, 2540, 267, 646, 4667, 547, 3398, 26436, 779, 23350, 602, 602, 2540, 6719, 519, 10661, 540, 513, 2186, 540, 13137, 602, 1131, 581, 13736, 585, 519, 1985, 1079, 4627, 1296, 269, 769, 15260, 1068, 532, 519, 1909, 540, 10120, 2245, 543, 8051, 585, 3875, 2038, 6901, 609, 7784, 335, 32535, 13137, 267, 8065, 3006, 18923, 26342, 519, 2490, 540, 519, 2985, 689, 4376, 649, 1522, 21656, 607, 10120, 547, 4376, 649, 1522, 2161, 568, 3982, 569, 1114, 269, 2060, 513, 3046, 14141, 540, 12170, 2963, 543, 4121, 7058, 525, 267, 646, 4617, 839, 2038, 2413, 1235, 685, 18765, 602, 7784, 335, 32535, 7916, 3648, 2799, 519, 2450, 540, 20679, 3564, 1018, 621, 1185, 1044, 1354, 519, 3109, 20575, 269, 1261, 849, 13882, 519, 2856, 602, 519, 1007, 1884, 545, 27553, 4702, 538, 6830, 5874, 1705, 4376, 855, 556, 652, 28344, 513, 26106, 655, 622, 1063, 8878 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 899, 513, 25810, 269, 13773, 2476, 689, 9486, 267, 9885, 267, 543, 4376, 602, 29377, 5201, 267, 1519, 10260, 539, 11436, 267, 21818, 26892, 267, 543, 5122, 19093, 563, 19675, 594, 2490, 1055, 8279, 1282, 513, 19711, 10445, 888, 8133, 267, 621, 779, 1655, 547, 2490, 1055, 3388, 5907, 267, 1519, 8279, 269, 590, 5844, 1379, 1147, 2471, 949, 2049, 267, 799, 1223, 2014, 535, 4926, 547, 9514, 267, 14233, 547, 7985, 14796, 267, 543, 8279, 547, 16802, 563, 3674, 621, 2922, 547, 979, 3544, 1282, 513, 19711, 10445, 888, 5591, 267, 9205, 2127, 666, 581, 1360, 5906, 1282, 15420, 1813, 547, 12798, 267, 6360, 4220, 267, 543, 17500, 269, 1403, 596, 2461, 9575, 3544, 1282, 513, 19711, 10445, 267, 2057, 5275, 12062, 896, 4054, 267, 3343, 1970, 2666, 267, 543, 1810, 1406, 5905, 4376, 602, 29377, 5201, 563, 4692, 596, 8038, 538, 513, 19711, 10445, 888, 8133, 267, 14742, 666, 1491, 1055, 1282, 19711, 28323, 267, 855, 21804, 543, 2011, 6808, 4648, 786, 1118, 519, 3375, 1310, 10442, 519, 3106, 4220, 269, 5794, 680, 6951, 616, 2966, 547, 16641, 17500, 16716, 267, 855, 789, 786, 3335, 2119, 547, 2057, 10760, 2047, 883, 15420, 563, 4692, 596, 5279, 707, 6049, 1282, 513, 19711, 10445, 888, 5591, 267, 621, 779, 1655, 547, 711, 11690, 4376, 538, 610, 946, 1022, 5907, 267, 29040, 14233, 610, 3457, 1282, 513, 7088, 269, 901, 2882, 1591, 11436, 267, 24195, 267, 543, 14342, 269, 898, 779, 10930, 547, 7227, 2394, 1310, 519, 7088, 814, 5293, 547, 5279, 707, 3457, 563, 3674, 621, 5906, 547, 3802, 538, 513, 19711, 10445, 888, 8133, 267, 621, 666, 581, 269, 8752, 940, 666, 10880, 4376, 602, 568, 26339, 982, 922, 10450, 267, 1519, 1004, 269, 898, 779, 1655, 547, 1265, 12062, 607, 4166, 607, 2009, 543, 2057, 6972, 998, 2127, 609, 7555, 1216, 267, 607, 621, 666, 12404, 5906, 11935, 563, 1432, 1058, 594, 2490, 1055, 538, 513, 19711, 10445, 888, 31282, 1055, 543, 796, 680, 1872, 782, 5907, 3457, 267, 8279, 267, 543, 14233, 269, 901, 2882, 7641, 338, 267, 5904, 267, 10051, 14233, 267, 543, 1022, 824, 3457, 602, 616, 4448, 547, 606, 5122, 17752, 563, 4692, 513, 19711, 10445, 2014, 513, 28575, 888, 8133, 267, 14324, 29777, 1106, 1317, 540, 1804, 543, 4049, 19711, 28323, 269, 1358, 616, 3335, 2404, 609, 513, 1808, 1826, 540, 19711, 10445, 1572, 513, 2706, 3250, 563, 3674, 621, 2922, 547, 3207, 1282, 513, 19711, 10445, 888, 2026, 1279, 607, 596, 2461, 16280, 538, 513, 2922, 2230, 543, 723, 3144, 519, 1697, 15416, 267, 621, 1058, 581, 2922, 547, 3207, 269, 1717, 267, 621, 779, 513, 1434, 2856, 547, 723, 513, 1259, 547, 4309, 25887, 538, 2013, 540, 606, 6595, 267, 971, 607, 513, 4365, 5925, 610, 513, 16335, 813, 602, 666, 6494, 711, 5874, 563, 3674, 621, 5906, 547, 581, 3544, 538, 513, 19711, 10445, 888, 8133, 267, 9205, 2127, 616, 2760, 4628, 2922, 950, 15420, 616, 1472, 269, 1703, 779, 2141, 513, 1981, 540, 17500, 16716, 610, 2178, 12798, 4929, 7063, 543, 10913, 563, 1432, 547, 798, 538, 513, 4049, 19711, 10445, 4585, 888, 12648, 12062, 5612, 267, 2212, 547, 519, 32343, 4055, 538, 519, 2777, 630, 19668, 618, 610, 606, 20583, 2666, 6989, 4055, 1070, 2057, 11418, 267, 543, 7227, 585, 519, 7088, 547, 1780, 563, 3674, 621, 2922, 547, 5397, 1282, 513, 19711, 10445, 888, 2005, 5673, 269, 1411, 12582, 1406, 723, 547, 5855, 827, 17500, 16716, 607, 1279, 607, 596, 3251, 538, 519, 1286, 543, 1832, 519, 9486, 909, 267, 855, 2178, 12798, 543, 4057, 15287, 666, 1869, 1711, 5906, 6117, 2175, 269, 0, 347, 14197, 11870, 338, 9732, 634, 5295, 540, 26291, 2008, 347, 31086, 272, 18103, 2435, 1379, 540, 10350, 568, 602, 799, 676, 16495, 540, 519, 1876, 3294, 568, 7923, 547, 513, 2016, 5604, 282, 15518, 730, 1379, 568, 602, 799, 568, 11292, 547, 513, 1268, 824, 982, 998, 606, 5604, 563, 31086, 273, 18103, 2435, 1379, 540, 10350, 949, 581, 1697, 610, 18755, 13895, 563, 31086, 274, 2290, 945, 6811, 547, 723, 1044, 15518, 730, 814, 519, 593, 639, 540, 18445, 519, 15518, 566, 563, 17273, 6383, 538, 476, 271, 269, 9826, 277, 7643, 563, 2171, 2125, 924, 3009, 9736, 476, 1708, 271, 630, 300, 3951, 17821, 1040, 19405, 476, 273, 269, 278, 269, 273, 14174, 304, 0, 288, 1247, 3516, 649, 3370, 513, 4062, 11021, 602, 17605, 1522, 3771, 13118, 930, 4277, 26208, 538, 519, 6968, 585, 1007, 15084, 6878, 269, 630, 299, 7704, 476, 2537, 476, 276, 476, 2420, 264, 3767, 621, 4667, 602, 741, 4174, 701, 344, 30980, 267, 10987, 267, 1223, 2943, 2097, 547, 938, 15063, 607, 1134, 269, 9214, 323, 1043, 607, 621, 4667, 267, 9932, 949, 723, 15084, 3601, 269, 12824, 3366, 676, 7905, 15776, 13391, 650, 773, 693, 519, 2160, 540, 9315, 858, 616, 1631, 8362, 14236, 713, 7872, 269, 1656, 827, 942, 1932, 267, 649, 2161, 267, 1317, 519, 3510, 568, 4742, 865, 3983, 649, 10950, 1022, 11036, 267, 2705, 2484, 1922, 564, 3481, 621, 1522, 3100, 693, 1101, 16145, 269, 1924, 649, 4076, 3893, 1079, 5359, 13296, 596, 666, 1224, 811, 267, 835, 689, 519, 18917, 543, 835, 689, 519, 18763, 269, 22322, 763, 2078, 1063, 3425, 543, 9932, 7389, 1394, 5215, 540, 1296, 269, 4658, 941, 4440, 3775, 6883, 13520, 32105, 538, 519, 19232, 18070, 269, 1280, 513, 1279, 1247, 267, 519, 2078, 1063, 721, 543, 938, 18388, 532, 669, 4548, 729, 7361, 538, 11466, 269, 18786, 513, 1906, 5756, 3516, 267, 713, 4957, 267, 547, 519, 12808, 1033, 337, 2939, 540, 519, 10987, 269, 21661, 519, 1158, 267, 15949, 2471, 723, 1044, 678, 5792, 856, 269, 8187, 803, 27595, 3710, 936, 269, 2037, 768, 748, 9424, 540, 13802, 723, 1044, 10936, 539, 2066, 1799, 29342, 9092, 14143, 540, 2244, 7146, 723, 3141, 330, 538, 547, 3251, 269, 901, 814, 1185, 513, 14042, 1198, 593, 13520, 5095, 269, 1403, 596, 1616, 513, 1906, 5013, 267, 723, 513, 1413, 693, 713, 3095, 547, 14886, 540, 519, 3047, 476, 1656, 782, 538, 519, 1793, 777, 323, 1662, 267, 5778, 6776, 3406, 585, 2479, 2362, 2504, 9072, 267, 3977, 543, 2338, 269, 594, 3055, 8197, 952, 519, 3801, 547, 1711, 5763, 7475, 909, 21006, 1279, 2165, 1871, 269, 1284, 15475, 621, 779, 606, 2653, 12161, 547, 1118, 585, 519, 4990, 540, 1004, 945, 25657, 2724, 609, 5763, 563, 8133, 267, 649, 2461, 11216, 10889, 338, 593, 713, 5816, 269, 1809, 649, 14353, 519, 649, 2461, 711, 519, 1152, 3283, 945, 14353, 602, 519, 2067, 1158, 543, 519, 1919, 538, 621, 616, 513, 14951, 7708, 557, 540, 1483, 5763, 267, 593, 513, 4336, 602, 18498, 9040, 320, 543, 1010, 1870, 27498, 1223, 711, 2253, 547, 4952, 269, 5384, 547, 1376, 3206, 4111, 1836, 827, 621, 269, 2107, 568, 602, 1932, 1454, 547, 2307, 888, 258, 32048, 1948, 327, 2292, 1948, 1218, 1948, 656, 756, 8438, 4187, 1948, 656, 756, 7821, 1948, 25924, 1948, 8234, 0, 22296, 3386, 585, 4830, 946, 676, 519, 5467, 610, 538, 15360, 609, 513, 2385, 610, 4543, 3318, 267, 713, 23519, 2488, 17288, 11295, 2238, 543, 3232, 14751, 725, 269, 634, 2238, 4125, 11423, 538, 10145, 3515, 267, 5373, 513, 4605, 267, 610, 10992, 1055, 513, 1592, 538, 3210, 547, 17003, 2055, 269, 11762, 2039, 4922, 543, 948, 519, 7141, 5467, 1451, 547, 1174, 1018, 2635, 1582, 12635, 568, 267, 2708, 2318, 2798, 267, 13498, 519, 2959, 540, 1582, 2173, 612, 1137, 267, 2631, 2123, 4502, 267, 581, 14388, 1996, 9073, 267, 2057, 14432, 9236, 543, 32198, 267, 581, 8076, 267, 9305, 17602, 1836, 547, 1866, 543, 2486, 267, 3398, 2123, 7687, 267, 2697, 2123, 7375, 267, 12172, 13922, 543, 9909, 267, 13498, 2123, 2418, 543, 4978, 267, 543, 15357, 1644, 2994, 585, 1582, 21553, 2889, 22777, 563, 12041, 281, 23436, 5576, 629, 454, 2467, 616, 1100, 8039, 2943, 269, 0, 1432, 3657, 1858, 3009, 267, 1656, 4208, 14348, 1411, 21763, 2290, 888, 22704, 9479, 616, 606, 679, 7950, 547, 1034, 1004, 269, 1284, 2461, 711, 4010, 1858, 3009, 2386, 1018, 789, 798, 610, 1946, 649, 991, 873, 267, 855, 649, 917, 789, 2461, 1271, 269, 901, 5816, 2022, 786, 2263, 519, 1858, 9479, 543, 1946, 596, 991, 835, 269, 3245, 972, 267, 649, 3580, 2285, 513, 1906, 1806, 540, 1946, 2348, 606, 1858, 3009, 568, 1271, 269, 12693, 454, 1432, 3657, 267, 1858, 8943, 267, 1656, 4208, 14348, 1411, 21763, 2290, 888, 22704, 9479, 616, 513, 1062, 15146, 7426, 946, 547, 7941, 519, 2197, 883, 4130, 4525, 269, 9351, 9479, 941, 7620, 2966, 547, 4688, 2724, 1858, 3009, 593, 1279, 26591, 7125, 267, 855, 789, 723, 2094, 1831, 606, 1898, 851, 540, 519, 26313, 5251, 563, 7197, 1858, 9479, 616, 6896, 883, 1614, 10851, 281, 3345, 3013, 267, 2342, 267, 543, 519, 1964, 540, 519, 1158, 269, 3962, 7997, 568, 5258, 883, 1079, 610, 811, 2338, 269, 1280, 1383, 267, 519, 1858, 3009, 585, 6115, 267, 667, 5861, 1421, 568, 476, 1708, 269, 634, 1101, 1297, 538, 513, 3135, 568, 18385, 8655, 547, 519, 2197, 779, 7187, 3368, 630, 324, 3052, 1421, 476, 1708, 14687, 547, 8832, 9098, 1040, 769, 4334, 267, 519, 2034, 1297, 538, 513, 7997, 568, 2016, 547, 519, 2197, 779, 7013, 3368, 630, 324, 3052, 1421, 476, 1708, 14687, 547, 8828, 15930, 1040, 634, 6967, 2338, 538, 606, 1858, 616, 1287, 8655, 2687, 547, 10923, 4087, 630, 324, 3052, 1421, 476, 10711, 4748, 547, 3844, 9098, 1916, 5278, 13664, 2127, 949, 711, 723, 1022, 1858, 9479, 630, 324, 3052, 1421, 14522, 1040, 769, 891, 2665, 267, 15146, 7426, 786, 946, 835, 540, 8370, 6237, 18772, 525, 3079, 630, 328, 4318, 1421, 476, 7176, 280, 585, 14522, 1916, 22704, 9479, 941, 7620, 1152, 2877, 585, 1279, 26591, 7125, 282, 2221, 267, 789, 616, 1031, 585, 2199, 543, 1279, 26591, 7125, 269, 3509, 27215, 7709, 2533, 1631, 946, 1858, 9479, 865, 5561, 666, 3866, 856, 1256, 952, 789, 1810, 1406, 723, 513, 2244, 1467, 6049, 3028, 8502, 630, 7945, 607, 4787, 4286, 1916, 1432, 3657, 519, 12729, 21964, 540, 1858, 3009, 888, 22704, 9479, 616, 1898, 585, 15146, 3028, 269, 1358, 616, 519, 1297, 547, 948, 1858, 3009, 547, 8905, 7125, 18487, 543, 5001, 269, 3962, 1858, 3009, 568, 5258, 883, 1896, 7857, 7161, 8655, 547, 1367, 17521, 610, 4525, 269, 1879, 596, 3866, 513, 1297, 267, 707, 6049, 1569, 525, 519, 3617, 3625, 540, 519, 1858, 3009, 269, 901, 2337, 2327, 602, 596, 3914, 519, 1268, 596, 616, 3843, 547, 1289, 267, 1256, 952, 789, 4755, 547, 581, 538, 513, 1114, 851, 540, 519, 2197, 610, 1158, 563, 5194, 946, 585, 1858, 9479, 568, 15682, 6351, 269, 1403, 596, 1810, 1406, 917, 2576, 779, 6049, 1297, 267, 596, 666, 1413, 621, 909, 538, 519, 15682, 543, 1294, 952, 621, 568, 1369, 606, 1858, 3009, 269, 901, 568, 2523, 5363, 952, 596, 1810, 1406, 723, 513, 1870, 3556, 610, 1616, 547, 1832, 707, 2123, 1344, 4357, 563, 1692, 1684, 9351, 32011, 4518, 888, 22704, 9479, 941, 7620, 2813, 538, 519, 2038, 2395, 540, 15146, 3028, 547, 1832, 3950, 540, 7125, 269, 1879, 1004, 1131, 1289, 1142, 824, 267, 519, 11346, 1185, 547, 2594, 799, 1858, 3009, 789, 941, 538, 865, 1352, 1223, 8905, 519, 8258, 7157, 563, 9213, 267, 1858, 9479, 616, 1869, 1031, 547, 1832, 3950, 540, 7125, 855, 849, 538, 23332, 8613, 543, 5925, 6786, 269, 769, 1840, 267, 1858, 9479, 616, 1031, 950, 1004, 1616, 547, 1265, 856, 519, 6049, 1297, 540, 513, 1870, 610, 1367, 538, 513, 1880, 1858, 563, 1432, 3657, 519, 12186, 540, 513, 7827, 538, 606, 9351, 8943, 888, 22704, 9479, 616, 519, 15146, 27766, 585, 13664, 4525, 1369, 513, 2197, 269, 634, 1101, 1297, 538, 606, 1858, 3009, 568, 8655, 547, 519, 1858, 779, 4102, 2749, 267, 543, 519, 6967, 9704, 616, 8655, 1759, 593, 2551, 2450, 269, 1280, 519, 3732, 267, 519, 4087, 3009, 585, 1715, 3840, 4975, 568, 476, 18891, 269, 9351, 9479, 941, 2813, 865, 602, 1004, 1223, 3362, 3866, 2199, 6049, 2338, 1510, 19551, 2789, 15146, 2338, 585, 1142, 2749, 789, 941, 10912, 563, 3086, 12997, 267, 2705, 267, 1858, 9479, 616, 1152, 1031, 676, 4213, 543, 2229, 8041, 547, 8905, 7125, 269, 4107, 2043, 945, 9585, 2154, 610, 8415, 873, 15042, 269, 1403, 707, 6049, 1297, 2242, 267, 596, 3580, 991, 547, 1205, 1007, 6049, 2835, 543, 2327, 596, 723, 519, 1007, 1858, 3009, 7396 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15430, 1041, 6096, 7822, 1635, 7089, 666, 11338, 4196, 607, 31452, 950, 2798, 2196, 856, 1747, 267, 2436, 621, 779, 538, 519, 4928, 267, 538, 707, 1753, 267, 610, 538, 707, 1360, 1378, 2247, 269, 4635, 513, 4976, 666, 5351, 596, 7618, 593, 707, 1378, 540, 1018, 596, 723, 547, 798, 1739, 950, 596, 1294, 602, 972, 568, 513, 12161, 1500, 269, 6096, 616, 849, 9735, 585, 1443, 2358, 1453, 540, 1919, 789, 723, 2907, 4121, 269, 589, 4976, 666, 7618, 596, 3823, 2979, 3741, 596, 4076, 2907, 4988, 267, 610, 5351, 596, 3314, 4245, 602, 596, 1616, 547, 1265, 856, 1586, 269, 1306, 606, 3063, 4324, 267, 3211, 666, 1599, 607, 513, 1797, 547, 18663, 3214, 547, 3251, 909, 547, 4266, 609, 741, 1378, 9872, 960, 269, 13298, 982, 7836, 513, 2603, 942, 593, 1169, 3992, 267, 596, 666, 3274, 2322, 1524, 513, 23519, 607, 1134, 607, 1577, 873, 1491, 1416, 540, 519, 14230, 269, 1635, 3257, 713, 267, 789, 3580, 581, 2111, 547, 1445, 593, 741, 1360, 1378, 6780, 3079, 563, 292, 6470, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 772, 22744, 539, 676, 18014, 6096, 538, 7121, 18014, 6096, 563, 8450, 849, 2051, 1941, 13246, 772, 3387, 20255, 1923, 15206, 16974, 9664, 689, 18014, 6096, 13445, 563, 2080, 649, 723, 1776, 3239, 4569, 6096, 1280, 8866, 5131, 15026, 18014, 16974, 12286, 896, 14168, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 269, 1284, 4126, 596, 10150, 621, 543, 952, 596, 1616, 547, 4647, 519, 5961, 538, 1164, 2298, 267, 3274, 1318, 4945, 519, 3239, 543, 3442, 834, 24591, 1306, 2668, 8729, 585, 2542, 14168, 7822, 1635, 7089, 8018, 15026, 1923, 7089, 6096, 269, 0, 291, 20986, 540, 7556, 15657, 540, 667, 262, 288, 2102, 726, 4548, 1210, 519, 28060, 10110, 766, 4994, 454, 763, 6662, 8990, 540, 519, 6099, 7556, 4266, 585, 726, 4548, 5497, 2901, 585, 4853, 4393, 610, 585, 4616, 607, 4195, 4829, 568, 513, 4909, 6161, 540, 519, 4829, 2872, 269, 589, 15409, 7298, 14672, 792, 18342, 630, 14106, 21610, 7644, 264, 4715, 14029, 8084, 3926, 729, 1031, 547, 4990, 667, 262, 288, 2102, 726, 4548, 19122, 1472, 519, 2757, 5010, 7556, 4266, 269, 634, 28060, 10110, 766, 4994, 729, 1336, 547, 581, 5827, 540, 5302, 2958, 908, 726, 4548, 883, 5049, 540, 15657, 2687, 547, 1585, 9830, 540, 19729, 17571, 543, 4829, 13496, 588, 1066, 724, 339, 2418, 269, 29759, 609, 513, 28060, 10110, 766, 4994, 1871, 540, 1447, 982, 476, 272, 269, 6795, 4951, 1100, 3604, 538, 17145, 6109, 1145, 269, 1773, 4548, 19122, 609, 28060, 10110, 766, 4994, 2418, 540, 476, 272, 269, 736, 268, 272, 269, 3066, 1185, 513, 4829, 13496, 588, 1066, 724, 339, 540, 476, 272, 269, 1839, 715, 543, 513, 19729, 17571, 5834, 540, 476, 2537, 269, 274, 10065, 5637, 540, 891, 2418, 5330, 547, 7850, 29676, 585, 16276, 726, 4548, 585, 4853, 5301, 269, 634, 28060, 10110, 766, 4994, 949, 581, 3407, 538, 3850, 519, 8446, 540, 1164, 7779, 726, 4548, 2901, 585, 4195, 4616, 610, 4853, 4393, 269, 0, 12441, 14088, 3717, 12428, 5771, 888, 15404, 32093, 1294, 14088, 607, 519, 1101, 7332, 267, 607, 519, 20845, 2829, 602, 782, 519, 11330, 515, 1206, 840, 3737, 519, 1482, 5132, 540, 5771, 630, 288, 32106, 281, 12168, 354, 25078, 12022, 8294, 14534, 267, 2048, 8138, 3939, 685, 630, 1729, 2696, 264, 1916, 3849, 600, 538, 5771, 563, 19064, 1886, 2867, 30379, 378, 384, 478, 17043, 12168, 351, 21333, 14534, 14088, 2008, 347, 15447, 333, 585, 1475, 5575, 1480, 1373, 2008, 347, 14399, 1475, 295, 629, 383, 377, 331, 1627, 629, 383, 377, 331, 1744, 383, 377, 628, 630, 20901, 8294, 24220, 18716, 12022, 2073, 28405, 8294, 24220, 18716, 12022, 267, 12168, 368, 30234, 18716, 404, 360, 10245, 8489, 616, 14088, 543, 18832, 12617, 888, 763, 13946, 540, 7557, 335, 601, 1695, 267, 538, 519, 4639, 7813, 2749, 540, 1261, 321, 1258, 267, 568, 519, 19746, 1747, 540, 519, 4223, 686, 1105, 338, 543, 24686, 1105, 338, 281, 14062, 267, 21469, 267, 15243, 267, 8861, 267, 31929, 267, 543, 2274, 1695, 269, 4340, 547, 6014, 25386, 2245, 267, 621, 779, 849, 519, 13675, 547, 519, 12567, 540, 3798, 523, 1141, 14088, 543, 18832, 616, 12617, 563, 3674, 589, 18769, 545, 1869, 9275, 888, 288, 18769, 545, 568, 1869, 9275, 676, 16559, 2950, 540, 7642, 267, 13495, 2801, 753, 543, 930, 10271, 269, 9540, 2516, 540, 1004, 1869, 3717, 589, 18769, 545, 538, 1114, 2694, 540, 519, 5664, 5101, 269, 2560, 4653, 267, 1063, 476, 4335, 267, 1822, 543, 476, 25616, 267, 1822, 1004, 3717, 589, 18769, 545, 4654, 563, 2710, 782, 6259, 2477, 3717, 12428, 888, 288, 32106, 538, 2477, 609, 811, 982, 476, 2004, 260, 12428, 6741, 5474, 568, 2808, 513, 5354, 1893, 267, 6382, 621, 568, 513, 12102, 1893, 563, 306, 30371, 793, 2829, 1141, 12428, 568, 606, 4013, 1893, 563, 347, 24687, 1475, 10870, 27984, 24810, 1893, 267, 2059, 609, 7137, 828, 2008, 23277, 1897, 1533, 540, 519, 6259, 13477, 1475, 8133, 2008, 3674, 12428, 513, 4666, 1893, 888, 763, 12428, 1893, 568, 9444, 4666, 267, 6862, 12955, 269, 2560, 4653, 267, 12428, 568, 9275, 607, 519, 4013, 543, 3084, 1893, 538, 1896, 2477, 538, 543, 1472, 519, 5664, 5101, 1107, 1519, 519, 26768, 18686, 543, 1896, 8832, 3979, 2477, 563, 1432, 779, 519, 1101, 1893, 538, 519, 1158, 888, 2026, 2484, 607, 519, 1158, 6785, 267, 16130, 11542, 607, 519, 1101, 9275, 1893, 1317, 621, 18584, 607, 1394, 607, 476, 4335, 271, 7460, 269, 1715, 1344, 6920, 602, 4352, 16130, 568, 1851, 519, 9510, 9275, 4654, 267, 20474, 7389, 1394, 2417, 269, 20474, 7389, 607, 2484, 1394, 607, 476, 12573, 7460, 1765, 4103, 899, 519, 2048, 1320, 13083, 1952, 12011, 600, 16224, 606, 3504, 6648, 267, 1796, 607, 2963, 563, 1432, 1614, 4654, 1705, 4906, 888, 1103, 1840, 547, 589, 18769, 545, 543, 12355, 267, 5259, 543, 5824, 941, 849, 1455, 538, 4906, 685, 942, 269, 2991, 12138, 519, 4279, 779, 21037, 540, 27859, 543, 519, 1964, 540, 519, 14655, 7276, 538, 519, 8772, 2540, 645, 5861, 1421, 5259, 5486, 5896, 824, 10209, 1132, 607, 519, 4013, 1893, 538, 1454, 540, 519, 3148, 269, 0, 288, 11800, 1177, 568, 513, 3532, 1907, 602, 666, 1118, 2656, 960, 540, 14299, 4771, 3574, 269, 1717, 267, 952, 596, 723, 513, 10605, 20447, 267, 1210, 513, 11800, 1177, 568, 711, 5227, 269, 634, 2601, 585, 713, 568, 602, 519, 13590, 2361, 630, 4932, 293, 264, 19501, 676, 519, 11800, 1177, 666, 15936, 609, 519, 8647, 540, 707, 10605, 20447, 563, 1607, 666, 2014, 707, 2295, 547, 10726, 12150, 569, 610, 1256, 3247, 15587, 269, 2755, 972, 723, 1044, 1100, 5359, 540, 713, 8345, 267, 621, 568, 1869, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 1210, 513, 11800, 1177, 952, 596, 723, 513, 10605, 20447, 563, 8794, 5600, 3835, 27294, 609, 606, 1955, 680, 5896, 623, 864, 20447, 270, 2975, 291, 269, 5082, 11424, 13779, 630, 4932, 296, 264, 6045, 454, 268, 1403, 596, 723, 513, 10605, 20447, 267, 596, 666, 1869, 946, 513, 11800, 1177, 454, 268, 3371, 616, 513, 1906, 4388, 593, 875, 547, 9108, 946, 513, 11800, 1177, 609, 513, 10605, 20447, 281, 476, 272, 454, 268, 5192, 24999, 689, 707, 4387, 1354, 1210, 513, 11800, 1177, 454, 268, 23203, 2123, 8825, 3937, 267, 1519, 17309, 267, 575, 17344, 956, 267, 543, 1274, 4027, 454, 268, 2142, 3222, 540, 707, 10450, 543, 2057, 1210, 519, 11800, 1177, 2282, 1379, 3515, 610, 824, 5122, 10898, 454, 268, 7427, 519, 10672, 779, 5528, 585, 2922, 5106, 540, 519, 11800, 1177, 454, 4692, 1411, 2422, 5295, 13088, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 1379, 2645, 269, 634, 2626, 568, 9811, 267, 538, 1034, 2665, 269, 1717, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 563, 5575, 267, 1118, 2386, 519, 1379, 1907, 568, 5265, 16135, 269, 901, 786, 948, 2569, 519, 1981, 540, 5122, 8710, 269, 5822, 267, 2057, 1210, 1379, 2645, 602, 1711, 2178, 6419, 4610, 563, 4322, 666, 15936, 609, 519, 8647, 540, 707, 10605, 20447, 269, 12059, 267, 5077, 707, 4387, 952, 596, 723, 1022, 4145, 827, 1210, 1379, 2645, 609, 707, 10605, 20447, 563, 28830, 1411, 2052, 685, 307, 1684, 2060, 513, 623, 864, 20447, 454, 288, 10605, 20447, 568, 513, 1507, 3926, 602, 2337, 547, 1852, 707, 26470, 269, 898, 568, 2356, 5116, 896, 519, 2960, 593, 519, 9221, 543, 814, 12904, 602, 979, 547, 519, 2295, 269, 589, 10605, 20447, 666, 581, 1031, 952, 596, 723, 606, 12150, 26470, 610, 952, 707, 2295, 2557, 568, 1932, 3500, 563, 2467, 616, 930, 1919, 602, 596, 3112, 798, 609, 513, 10605, 20447, 269, 1411, 3112, 1205, 606, 18909, 630, 332, 8568, 16982, 9196, 264, 11571, 609, 513, 10605, 20447, 269, 901, 568, 1317, 519, 18909, 3684, 3096, 2178, 22197, 543, 621, 1223, 15936, 609, 875, 707, 10605, 20447, 1568, 563, 2791, 849, 1058, 711, 723, 5122, 8710, 3797, 609, 513, 10605, 20447, 269, 901, 568, 1317, 519, 5122, 28654, 1223, 3441, 707, 10605, 20447, 610, 3247, 621, 689, 2324, 5265, 269, 1403, 596, 991, 547, 723, 6391, 267, 2995, 707, 4387, 6619, 540, 942, 602, 596, 723, 513, 10605, 20447, 865, 789, 666, 1491, 2027, 15416, 563, 5278, 824, 1919, 547, 1832, 538, 2247, 281, 623, 864, 16234, 616, 711, 2141, 8628, 269, 1411, 949, 991, 547, 723, 621, 8719, 1310, 476, 276, 268, 1015, 1296, 1813, 547, 6007, 1272, 610, 824, 4128, 269, 2142, 2386, 547, 1832, 1246, 5346, 20499, 609, 707, 6315, 6048, 865, 789, 666, 2638, 593, 875, 707, 3926, 568, 2324, 543, 1118, 1022, 2556, 2242, 563, 4692, 594, 2422, 513, 681, 4575, 4521, 333, 631, 1077, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 513, 14964, 15989, 544, 1077, 269, 634, 2110, 2626, 568, 9811, 267, 596, 666, 946, 513, 14964, 15989, 544, 1077, 609, 513, 10605, 20447, 269, 1717, 267, 972, 616, 513, 1906, 1919, 596, 991, 547, 1832, 538, 2247, 547, 2327, 707, 3106, 1247, 5665, 519, 15989, 544, 1077, 563, 5575, 267, 2141, 5077, 609, 707, 10629, 1354, 1210, 1022, 1826, 540, 12227, 610, 3937, 952, 596, 723, 513, 10605, 20447, 269, 1358, 786, 581, 2111, 547, 2285, 596, 1808, 5528, 593, 875, 547, 9108, 7500, 519, 15989, 544, 1077, 269, 5822, 267, 1118, 2386, 519, 1858, 1141, 596, 3580, 581, 1210, 519, 15989, 544, 1077, 568, 1863, 540, 11935, 543, 9465, 563, 1607, 786, 948, 2061, 23139, 27894, 610, 795, 565, 1206, 602, 1223, 7519, 707, 10605, 20447, 779, 1599, 269, 12059, 267, 1491, 3063, 1416, 950, 3478, 593, 543, 1055, 519, 15989, 544, 1077, 269, 2142, 2386, 547, 1246, 707, 4387, 779, 5528, 593, 875, 547, 9108, 2990, 3054, 1247, 5665, 519, 12227, 563, 3528, 1739, 891, 2241, 4388, 267, 596, 666, 9108, 946, 513, 14964, 15989, 544, 1077, 609, 513, 10605, 20447, 1510, 8380, 3054, 693, 1981, 563, 4692, 1411, 2422, 606, 11272, 681, 1794, 528, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 606, 3167, 986, 345, 528, 269, 634, 2626, 568, 9811, 256, 11272, 986, 345, 832, 616, 9985, 2922, 547, 946, 609, 513, 10605, 20447, 563, 2467, 616, 1100, 4220, 2404, 609, 1210, 606, 3167, 986, 345, 528, 543, 513, 10605, 20447, 269, 1924, 979, 6619, 543, 695, 1511, 2476, 2336, 4692, 1411, 2422, 606, 11272, 29392, 20815, 2060, 513, 623, 864, 20447, 454, 2252, 596, 723, 513, 10605, 20447, 267, 596, 949, 581, 11842, 952, 621, 779, 2922, 547, 946, 606, 3167, 28750, 269, 634, 2110, 2626, 568, 9811, 267, 596, 666, 946, 606, 3167, 28750, 609, 513, 10605, 20447, 269, 1717, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 563, 5575, 267, 621, 779, 1271, 547, 5077, 609, 707, 6315, 6048, 610, 10605, 20447, 11285, 1354, 1210, 606, 3167, 28750, 269, 1358, 666, 2285, 596, 1808, 5528, 1759, 593, 707, 1367, 3510, 269, 5822, 267, 950, 1210, 606, 3167, 28750, 267, 581, 2386, 547, 3180, 519, 11453, 2212, 2476, 689, 707, 9221, 563, 1607, 786, 948, 2057, 1022, 13779, 609, 707, 10605, 20447, 269, 12059, 267, 2141, 1246, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6556, 630, 4811, 312, 264, 729, 3254, 676, 519, 476, 6344, 544, 29503, 9544, 538, 3731, 3019, 7693, 269, 22702, 547, 519, 2757, 476, 2568, 4699, 6306, 2582, 4737, 9544, 4806, 267, 476, 6344, 4699, 29503, 9544, 4951, 909, 547, 476, 275, 269, 4097, 267, 476, 1321, 269, 1321, 267, 476, 279, 269, 8287, 267, 476, 6246, 269, 1240, 267, 543, 476, 5655, 269, 10037, 260, 2333, 538, 2030, 4463, 267, 29647, 8006, 267, 29647, 3259, 267, 14662, 312, 267, 543, 570, 306, 312, 267, 6606, 563, 274, 269, 274, 269, 30766, 559, 962, 1752, 454, 289, 8344, 11729, 267, 6079, 11729, 267, 543, 7556, 4994, 781, 1797, 540, 21378, 559, 17685, 549, 5529, 609, 10931, 2117, 2033, 896, 1114, 9544, 3270, 4951, 1713, 3604, 1851, 2933, 630, 8368, 476, 275, 1040, 30766, 559, 7693, 521, 1144, 4805, 538, 476, 1789, 4699, 6306, 9343, 3812, 3648, 2362, 6211, 543, 6079, 11729, 982, 824, 9544, 3270, 538, 1312, 476, 1001, 274, 268, 1001, 275, 543, 476, 1001, 275, 268, 1001, 276, 1296, 269, 1717, 267, 21378, 559, 17685, 1886, 5340, 1732, 950, 521, 1144, 2059, 609, 476, 6344, 4699, 29503, 12630, 10931, 2117, 2033, 267, 607, 621, 3812, 3648, 2362, 6211, 543, 6079, 11729, 267, 799, 941, 476, 30640, 260, 543, 476, 29204, 260, 2362, 267, 6606, 267, 982, 519, 9803, 11729, 6592, 609, 519, 21378, 559, 17685, 549, 5529, 538, 476, 3393, 4699, 8486, 9544, 269, 6684, 267, 519, 7556, 4994, 630, 26980, 264, 540, 21378, 559, 729, 3648, 3152, 538, 476, 6344, 4699, 29503, 9544, 3379, 547, 1866, 267, 1519, 519, 21378, 559, 6852, 9544, 1505, 538, 476, 1001, 274, 268, 1001, 275, 269, 769, 476, 1001, 275, 268, 1001, 276, 267, 476, 6344, 4699, 29503, 9544, 1185, 513, 2147, 31254, 607, 21378, 559, 4805, 267, 855, 1312, 540, 873, 941, 3648, 3152, 982, 824, 9544, 3270, 269, 634, 6476, 540, 2244, 6697, 12753, 630, 299, 2207, 264, 7229, 689, 1114, 10931, 2117, 2033, 2000, 550, 559, 17685, 549, 6137, 22762, 1845, 630, 8368, 476, 275, 264, 7000, 602, 476, 6344, 4699, 29503, 9544, 609, 2185, 9343, 540, 21378, 559, 17685, 1886, 25189, 3648, 2362, 700, 2207, 2418, 630, 272, 269, 2412, 543, 476, 272, 269, 4391, 1282, 5186, 6137, 12405, 476, 1001, 274, 268, 1001, 275, 543, 476, 1001, 275, 268, 1001, 276, 267, 6606, 264, 982, 782, 824, 9544, 3270, 563, 274, 269, 275, 269, 9483, 5811, 454, 303, 1601, 4601, 267, 7607, 607, 1134, 607, 9772, 1464, 540, 606, 17685, 549, 6137, 1062, 616, 6038, 5462, 676, 741, 2121, 13075, 2744, 269, 9122, 593, 3328, 2121, 2361, 2640, 689, 1312, 2030, 543, 3731, 3019, 7693, 267, 519, 5207, 29458, 289, 540, 12652, 269, 476, 5392, 272, 3583, 274, 270, 3873, 729, 1336, 538, 476, 6344, 4699, 29503, 9544, 1341, 21378, 559, 17685, 549, 6137, 267, 6466, 519, 5934, 29458, 289, 540, 12652, 269, 476, 23714, 4649, 280, 270, 3873, 729, 6592, 538, 476, 2568, 4699, 2582, 9343, 9544, 1341, 21378, 559, 269, 15788, 267, 2362, 2121, 2361, 2640, 941, 5833, 950, 21378, 559, 729, 17685, 549, 5529, 538, 10931, 2117, 2033, 269, 634, 1732, 1267, 540, 519, 476, 6344, 4699, 29503, 609, 21378, 559, 17685, 549, 6137, 1522, 581, 1813, 547, 811, 21378, 559, 2030, 2551, 950, 521, 1144, 538, 1063, 519, 8900, 5624, 607, 3379, 547, 8486, 9544, 281, 476, 2568, 4699, 2582, 4737, 9544, 610, 476, 3445, 4699, 5595, 4737, 9544, 269, 19105, 1239, 593, 2121, 2132, 540, 1312, 2030, 543, 3731, 3019, 7031, 540, 10931, 2117, 2033, 616, 4843, 538, 7305, 476, 276, 269, 26228, 2121, 2132, 540, 12652, 269, 476, 25834, 22724, 270, 3873, 729, 6592, 538, 476, 6344, 4699, 29503, 9544, 609, 21378, 559, 607, 606, 17685, 1886, 282, 2705, 267, 519, 5934, 2121, 2132, 540, 12652, 269, 476, 15171, 8099, 270, 3873, 729, 7074, 538, 476, 2568, 4699, 2582, 9343, 9544, 1341, 21378, 559, 563, 763, 2164, 540, 7460, 305, 616, 4843, 538, 7305, 476, 276, 269, 19105, 1239, 593, 7460, 305, 540, 1312, 2030, 543, 3731, 3019, 7031, 540, 10931, 2117, 2033, 616, 4843, 538, 7305, 476, 276, 269, 26228, 7460, 305, 630, 273, 269, 4905, 264, 729, 6592, 538, 476, 6344, 4699, 29503, 9544, 609, 21378, 559, 607, 606, 17685, 1886, 282, 2705, 267, 519, 2547, 7460, 305, 630, 272, 269, 2004, 264, 729, 7074, 538, 476, 2568, 4699, 6306, 2582, 4737, 9544, 1341, 21378, 559, 269, 15788, 267, 519, 5021, 7460, 305, 2418, 941, 8947, 538, 782, 5574, 540, 3731, 3019, 7693, 267, 1317, 1100, 521, 12976, 543, 11489, 720, 4238, 941, 5645, 856, 602, 6038, 8507, 538, 513, 5786, 540, 519, 2949, 1942, 540, 2504, 563, 7712, 519, 2121, 2361, 2640, 616, 711, 519, 3803, 7355, 585, 16252, 547, 519, 6705, 267, 519, 8589, 2079, 729, 2944, 547, 9959, 519, 1034, 19311, 10931, 2117, 2033, 17685, 549, 6137, 1062, 269, 634, 17282, 2079, 568, 2016, 538, 7305, 476, 276, 269, 9122, 593, 1079, 4458, 3328, 1239, 267, 10931, 2117, 2033, 9544, 2409, 630, 314, 303, 16553, 269, 1321, 3910, 1496, 303, 16553, 269, 1724, 3910, 1496, 303, 16553, 269, 274, 3910, 1496, 303, 16553, 269, 1015, 3910, 1496, 303, 16553, 269, 273, 3910, 1496, 303, 16553, 269, 280, 3910, 1496, 303, 16553, 269, 272, 3910, 543, 1496, 303, 16553, 269, 279, 8079, 23384, 17282, 2079, 269, 8409, 5574, 602, 941, 9896, 607, 834, 291, 257, 538, 519, 17282, 2079, 941, 711, 5697, 585, 8589, 2079, 269, 634, 2164, 540, 10931, 2117, 2033, 2000, 550, 559, 17685, 549, 6137, 1949, 723, 1044, 4330, 538, 7305, 476, 276, 269, 9122, 593, 606, 3328, 19182, 305, 267, 519, 5021, 630, 1626, 267, 3445, 273, 8472, 1871, 729, 5833, 689, 476, 6344, 4699, 29503, 9544, 563, 11328, 23145, 6137, 540, 513, 1850, 2541, 7693, 538, 10931, 2117, 2033, 568, 25368, 607, 621, 10607, 519, 2208, 543, 6556, 540, 1312, 7031, 676, 7393, 519, 3037, 8770, 9115, 543, 2640, 519, 15451, 2551, 1547, 1717, 267, 519, 3903, 540, 5078, 10931, 2117, 2033, 9544, 4806, 585, 14577, 17685, 1886, 547, 2721, 5021, 2804, 4324, 568, 1271, 1547, 634, 1459, 1353, 4951, 1713, 8390, 538, 2208, 267, 10931, 2117, 2033, 6556, 6724, 267, 543, 2698, 4006, 6556, 10305, 540, 10931, 2117, 2033, 521, 1144, 2059, 609, 21378, 559, 17685, 1886, 269, 7352, 1464, 538, 700, 9590, 540, 10931, 2117, 2033, 538, 1114, 9544, 3270, 729, 607, 8282, 547, 4756, 2030, 2551, 543, 8244, 540, 7509, 267, 5567, 267, 6099, 2837, 267, 543, 513, 3130, 269, 634, 3152, 700, 9590, 540, 10931, 2117, 2033, 521, 1144, 538, 476, 6344, 4699, 29503, 9544, 270, 3393, 4699, 8486, 9544, 3379, 547, 824, 2409, 1223, 581, 1813, 547, 811, 2030, 2551, 543, 1732, 6978, 1646, 269, 1452, 4681, 616, 538, 6876, 609, 1346, 540, 2073, 945, 4080, 1713, 2242, 538, 700, 9590, 1813, 547, 17685, 549, 6137, 538, 10931, 2117, 2033, 269, 634, 3017, 538, 700, 4696, 1851, 1585, 9544, 3270, 729, 1813, 547, 519, 8390, 538, 700, 9590, 6913, 607, 513, 1267, 540, 13345, 540, 2200, 538, 1114, 9544, 3270, 282, 538, 930, 4574, 1496, 3451, 267, 4097, 3910, 621, 729, 849, 7074, 602, 1114, 9544, 3270, 1185, 1713, 2360, 593, 700, 4696, 540, 10931, 2117, 2033, 7693, 563, 14294, 881, 14688, 2362, 595, 16165, 538, 6852, 10931, 2117, 2033, 630, 17092, 264, 1522, 581, 1813, 547, 1447, 6735, 585, 1863, 1604, 267, 543, 811, 8244, 540, 5567, 543, 2230, 602, 6038, 3366, 547, 513, 1134, 31465, 3597, 1062, 269, 589, 2620, 3597, 1062, 2488, 8770, 543, 7509, 8244, 585, 2371, 269, 634, 1657, 8753, 616, 20083, 609, 519, 1346, 540, 2073, 945, 4080, 811, 595, 16165, 540, 6852, 10931, 2117, 2033, 12630, 693, 17784, 4737, 17446, 982, 17685, 28979, 269, 634, 8390, 538, 715, 2752, 896, 1114, 5574, 1522, 581, 607, 8282, 547, 8390, 538, 700, 9590, 630, 8201, 476, 277, 1070, 700, 4696, 630, 8201, 476, 275, 1070, 2504, 540, 2698, 3819, 2339, 630, 8201, 476, 278, 1070, 543, 595, 16165, 630, 8201, 476, 276, 1040, 7352, 1464, 538, 519, 2504, 540, 2698, 3819, 2339, 540, 10931, 2117, 2033, 538, 1114, 9544, 3270, 729, 607, 8282, 547, 13260, 538, 2030, 2551, 267, 17685, 1886, 6735, 267, 543, 8244, 540, 1114, 3484, 2200, 563, 24868, 1464, 538, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 316, 729, 7654, 1813, 547, 3507, 894, 1198, 540, 2799, 8770, 10333, 267, 1732, 2011, 10009, 543, 954, 4003, 540, 1769, 602, 8507, 538, 4389, 9496, 9019, 543, 1732, 2208, 540, 29647, 1813, 547, 1732, 13345, 540, 3484, 11378, 269, 1323, 2333, 538, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 316, 585, 6852, 10931, 2117, 2033, 1223, 581, 7654, 1813, 547, 513, 2362, 1297, 540, 11489, 619, 270, 314, 332, 4732, 1575, 269, 273, 4940, 5381, 2164, 9672, 676, 1496, 3607, 268, 4343, 3910, 945, 4080, 513, 1713, 16160, 1198, 540, 13274, 23092, 267, 28401, 267, 620, 325, 2788, 320, 267, 543, 30011, 593, 1984, 762, 666, 525, 270, 314, 332, 4732, 1575, 269, 273, 4940, 1452, 2164, 616, 849, 538, 1899, 609, 1346, 540, 1547, 634, 8390, 538, 2030, 4463, 896, 1114, 5574, 1522, 581, 1813, 547, 8390, 538, 13345, 540, 3484, 2200, 676, 7693, 2371, 269, 5047, 267, 1732, 21774, 540, 7943, 547, 519, 7693, 2030, 1522, 2087, 519, 8244, 540, 6337, 2106, 628, 919, 547, 29647, 521, 1144, 538, 29503, 9544, 693, 476, 6344, 4699, 543, 476, 3445, 4699, 29365, 602, 15469, 2208, 267, 4611, 538, 2799, 2418, 540, 2030, 4463, 269, 1452, 2164, 616, 538, 1899, 609, 1346, 540, 2073, 945, 4080, 602, 10931, 2117, 2033, 12630, 538, 19610, 9343, 8383, 908, 1079, 9343, 540, 10286, 2549, 541, 13183, 838, 1421, 607, 606, 17685, 1886, 3812, 2371, 540, 5021, 4463, 269, 1452, 2164, 941, 849, 9672, 676, 2073, 945, 7074, 606, 2799, 2030, 4463, 538, 29503, 9544, 693, 476, 6344, 4699, 607, 3379, 547, 476, 2568, 4699, 2582, 9343, 269, 3958, 267, 519, 4589, 540, 476, 13006, 811, 4463, 540, 10931, 2117, 2033, 2371, 538, 476, 271, 269, 276, 544, 17898, 3166, 9343, 3379, 547, 476, 272, 269, 276, 544, 17898, 3166, 9343, 269, 634, 5021, 5786, 538, 29647, 3259, 729, 7074, 950, 10931, 2117, 2033, 729, 17685, 549, 5529, 609, 21378, 559, 1312, 538, 2371, 607, 1134, 607, 538, 3731, 3019, 7693, 269, 634, 4744, 25630, 640, 538, 29647, 3259, 896, 1114, 5574, 1522, 581, 1813, 547, 513, 2362, 1297, 540, 2028, 3941, 829, 29647, 950, 10931, 2117, 2033, 729, 12630, 607, 6852, 7693, 3379, 547, 10931, 2117, 2033, 1341, 21378, 559, 269, 634, 4589, 538, 476, 4080, 602, 17685, 549, 6137, 538, 10931, 2117, 2033, 3648, 4299, 29647, 3259, 563, 24868, 1464, 538, 29647, 8006, 538, 8486, 543, 29503, 9544, 609, 476, 2568, 4699, 2582, 4737, 543, 476, 3445, 4699, 5595, 4737, 17446, 540, 6852, 10931, 2117, 2033, 543, 10931, 2117, 2033, 609, 21378, 559, 949, 581, 11911, 547, 1732, 29647, 2208, 538, 29365, 543, 29503, 9544, 1317, 540, 7850, 3761, 540, 1585, 6694, 11378, 267, 971, 607, 1216, 267, 13226, 267, 3092, 1421, 799, 941, 4294, 2047, 547, 519, 29365, 543, 1369, 519, 29503, 3079, 540, 11544, 873, 609, 519, 2627, 3037, 936, 519, 3003, 2030, 1858, 269, 1452, 4093, 616, 538, 2673, 29077, 609, 519, 8753, 540, 2073, 945, 5462, 602, 29647, 8006, 729, 2799, 607, 513, 1267, 540, 2810, 4737, 19437, 267, 1247, 476, 7150, 602, 519, 8006, 540, 29647, 729, 711, 6766, 998, 1114, 521, 12976, 9511, 269, 14608, 14688, 811, 14662, 312, 689, 29503, 9544, 538, 10931, 2117, 2033, 5574, 936, 824, 5574, 729, 7654, 1813, 547, 5021, 700, 9590, 630, 8201, 476, 274, 1070, 595, 16165, 630, 8201, 476, 276, 1070, 570, 19699, 630, 8201, 476, 278, 1070, 543, 715, 2752, 630, 8201, 476, 277, 1040, 634, 811, 29647, 6556, 540, 519, 14662, 1522, 581, 1813, 547, 1447, 6735, 585, 2200, 602, 8476, 519, 29647, 1761, 1282, 11095, 3942, 269, 634, 1657, 4681, 616, 538, 1899, 609, 2073, 945, 4767, 513, 476, 2641, 269, 279, 260, 5786, 538, 6556, 540, 10931, 2117, 2033, 950, 621, 729, 17685, 549, 5529, 609, 32646, 22792, 630, 289, 14993, 3821, 735, 652, 5142, 1040, 19452, 267, 513, 1732, 6556, 540, 10931, 2117, 2033, 729, 5833, 950, 12630, 607, 513, 6852, 7693, 3379, 547, 519, 17685, 549, 5529, 1505, 1547, 634, 1657, 2164, 616, 849, 6462, 676, 2073, 945, 4767, 602, 1114, 17685, 28979 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 2290, 10543, 24898, 729, 593, 1010, 1259, 1753, 689, 519, 16749, 6728, 269, 1879, 646, 5828, 5180, 513, 7944, 267, 646, 4862, 3723, 25074, 3297, 1864, 543, 646, 2219, 2576, 729, 4947, 2282, 269, 1261, 3459, 547, 3802, 3728, 269, 634, 3723, 25074, 3357, 3728, 267, 1932, 269, 1261, 30281, 1524, 269, 634, 3723, 25074, 849, 30281, 1524, 269, 3767, 646, 729, 2386, 602, 2576, 1590, 581, 2469, 1310, 1864, 269, 1261, 6836, 547, 12404, 269, 12846, 519, 3268, 4553, 1864, 269, 1261, 4769, 1405, 917, 875, 547, 4688, 5128, 267, 865, 646, 29860, 936, 930, 7381, 6371, 543, 554, 573, 5128, 538, 513, 28200, 1547, 1261, 28520, 5128, 1524, 593, 835, 540, 9723, 2125, 1547, 634, 812, 3297, 3357, 2282, 269, 24898, 1223, 5873, 519, 812, 7914, 936, 519, 6371, 269, 32438, 540, 555, 773, 1407, 543, 3775, 1499, 4904, 1010, 2247, 269, 24898, 11542, 909, 543, 5185, 519, 812, 269, 834, 1432, 798, 596, 1616, 286, 4208, 616, 596, 4947, 1310, 803, 8119, 1261, 4280, 269, 834, 296, 2161, 2437, 519, 24928, 4280, 267, 834, 4777, 596, 2141, 979, 1753, 899, 713, 267, 610, 616, 596, 2921, 930, 2027, 3635, 9522, 697, 286, 594, 1616, 547, 979, 547, 6004, 269, 5682, 781, 543, 1810, 1405, 917, 519, 1259, 269, 634, 6728, 4487, 5143, 803, 547, 1246, 596, 607, 596, 2661, 1985, 7450, 269, 19196, 2224, 803, 585, 6998, 267, 855, 568, 972, 1454, 20991, 547, 979, 1354, 649, 1205, 972, 8119, 634, 24928, 4553, 24898, 1317, 567, 9041, 476, 4586, 288, 269, 646, 4941, 547, 6146, 24898, 563, 289, 269, 646, 4941, 547, 21102, 1919, 563, 290, 269, 646, 4941, 547, 979, 547, 24898, 781, 1747, 563, 291, 269, 646, 4941, 547, 979, 547, 6004, 269, 5682, 781, 543, 646, 4769, 1405, 917, 519, 1259, 972, 563, 12585, 281, 667, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 6960, 21487, 1507, 27576, 834, 536, 834, 8799, 1507, 6960, 21487, 27576, 834, 15017, 288, 281, 536, 0, 9223, 281, 769, 799, 10315, 540, 519, 5177, 568, 645, 1090, 828, 16836, 888, 12585, 281, 530, 3997, 16303, 0, 9223, 281, 3733, 2247, 4667, 2141, 547, 2132, 547, 519, 1554, 950, 594, 1558, 14161, 269, 634, 2749, 1668, 11074, 693, 513, 7944, 547, 4584, 909, 519, 3232, 862, 26407, 630, 16341, 821, 945, 12599, 5781, 547, 543, 689, 960, 1070, 513, 1895, 538, 799, 594, 729, 3769, 269, 8274, 532, 519, 1668, 267, 594, 6743, 585, 513, 1747, 547, 1694, 269, 2311, 2063, 267, 594, 1336, 513, 1747, 2282, 519, 1394, 269, 634, 812, 538, 519, 10160, 1985, 547, 519, 835, 594, 729, 2469, 585, 729, 606, 4587, 812, 538, 513, 15454, 9290, 267, 1134, 2914, 1941, 10571, 10887, 267, 543, 513, 3109, 11058, 899, 594, 2141, 3182, 3293, 1065, 13024, 9849, 267, 855, 1510, 519, 2370, 2046, 3556, 269, 1530, 730, 267, 594, 3459, 547, 1224, 519, 1433, 594, 1185, 1044, 8876, 267, 799, 729, 10793, 23715, 537, 659, 781, 2201, 519, 10003, 269, 634, 812, 538, 519, 10160, 1985, 547, 803, 5189, 5128, 676, 6998, 952, 594, 1185, 1224, 1022, 824, 1433, 899, 519, 835, 594, 729, 8066, 269, 1879, 594, 5143, 1864, 594, 1185, 267, 646, 8604, 547, 1831, 5461, 267, 543, 865, 1705, 594, 269, 1261, 5189, 5128, 607, 14161, 543, 4280, 952, 594, 17329, 15690, 267, 543, 594, 5143, 1864, 602, 594, 4769, 1405, 2731, 6432, 547, 621, 267, 543, 602, 594, 17329, 4224, 543, 5066, 269, 20613, 1746, 585, 14161, 547, 2995, 803, 602, 594, 1058, 6432, 547, 1483, 2575, 267, 594, 729, 28280, 950, 646, 1175, 20493, 543, 21330, 269, 1261, 1767, 267, 834, 2791, 7618, 803, 540, 8885, 950, 594, 729, 707, 2085, 269, 594, 3314, 875, 1250, 3237, 554, 730, 15690, 543, 875, 789, 7948, 1405, 1294, 875, 594, 1223, 6432, 547, 602, 1659, 995, 6846, 269, 594, 914, 707, 3237, 2161, 519, 1482, 3364, 267, 1810, 1405, 789, 8119, 3767, 621, 729, 1250, 2490, 547, 12837, 267, 993, 4310, 609, 875, 1318, 646, 729, 269, 1306, 519, 1668, 5645, 721, 689, 835, 2427, 540, 519, 2749, 547, 519, 824, 267, 14161, 543, 594, 14437, 827, 513, 2603, 540, 1114, 1919, 269, 634, 811, 649, 14437, 267, 519, 811, 27086, 594, 2968, 693, 875, 1454, 519, 1079, 540, 721, 2731, 1185, 538, 1455, 267, 5103, 519, 2085, 3017, 269, 594, 10093, 1405, 2938, 1864, 2094, 649, 851, 539, 267, 855, 519, 2219, 540, 938, 4276, 602, 1554, 10355, 3762, 1250, 2247, 269, 14161, 2731, 1500, 803, 1589, 827, 875, 1454, 649, 666, 1451, 689, 1142, 824, 952, 649, 1175, 2736, 998, 519, 7161, 1063, 721, 649, 4312, 3893, 269, 594, 1611, 267, 594, 1131, 723, 2760, 2219, 1354, 602, 1554, 602, 594, 1223, 723, 4376, 538, 1455, 609, 2576, 865, 1454, 4587, 982, 594, 269, 1809, 14161, 6026, 803, 602, 1100, 2339, 1018, 649, 616, 267, 649, 616, 782, 1175, 1004, 267, 543, 602, 649, 1058, 1118, 606, 3063, 4674, 547, 2119, 543, 1205, 547, 917, 938, 12543, 543, 1004, 649, 1294, 1169, 1554, 267, 7488, 540, 2085, 267, 5198, 267, 4984, 267, 3023, 267, 610, 4376, 3116, 269, 1403, 649, 782, 1491, 519, 942, 547, 3801, 547, 1174, 1142, 824, 267, 594, 1589, 602, 519, 1158, 1131, 581, 513, 1454, 1732, 1747, 602, 649, 1223, 2671, 1927, 267, 607, 3425, 269, 898, 666, 581, 18505, 1042, 689, 519, 8574, 602, 567, 9041, 476, 4586, 288, 269, 519, 2278, 18387, 1405, 2938, 519, 2025, 812, 2094, 1287, 454, 289, 269, 15690, 2575, 1031, 547, 581, 811, 2442, 982, 4224, 543, 5066, 454, 290, 269, 519, 2278, 729, 711, 13854, 609, 1480, 3347, 538, 519, 1158, 454, 291, 269, 14161, 1500, 519, 2278, 8275, 649, 3425, 2661, 538, 4708, 543, 7015, 3125, 454, 12585, 281, 595, 0, 9223, 281, 17323, 568, 519, 1353, 540, 3047, 543, 922, 16374, 269, 12207, 946, 621, 547, 1353, 2518, 8337, 543, 3950, 519, 4365, 269, 22749, 946, 621, 547, 1451, 1141, 1004, 2661, 543, 960, 543, 547, 1544, 1018, 547, 798, 609, 519, 2244, 269, 898, 568, 1631, 4443, 982, 2479, 547, 946, 11585, 1317, 540, 513, 2257, 1572, 2230, 2029, 269, 634, 2136, 2276, 9250, 922, 1101, 9682, 538, 476, 4198, 279, 269, 2368, 2230, 13485, 602, 4553, 941, 10923, 2090, 269, 769, 1249, 267, 3618, 2257, 568, 513, 2462, 851, 540, 519, 960, 540, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 1040, 13562, 2246, 338, 6743, 856, 540, 519, 2230, 29060, 269, 1358, 4956, 547, 1491, 11147, 540, 3047, 689, 741, 642, 656, 720, 1448, 269, 3683, 519, 1296, 267, 4605, 2298, 4824, 269, 1744, 583, 1479, 10344, 1631, 2982, 2244, 2934, 267, 971, 607, 8933, 269, 898, 666, 1256, 1397, 519, 10754, 540, 1804, 4872, 269, 16071, 540, 519, 1482, 4025, 693, 1114, 2053, 1397, 875, 519, 2244, 568, 4657, 269, 8331, 1281, 711, 946, 1175, 11147, 267, 1498, 269, 769, 476, 4198, 279, 621, 9250, 30263, 4629, 306, 630, 1492, 27657, 5606, 14518, 9866, 3569, 31420, 1040, 901, 1101, 946, 540, 513, 9682, 547, 1353, 3047, 729, 2500, 538, 4758, 4365, 23004, 269, 898, 3366, 547, 519, 5137, 540, 1007, 2230, 2645, 547, 946, 538, 11585, 269, 634, 14924, 520, 5358, 3459, 538, 476, 3192, 273, 269, 901, 9682, 2366, 2143, 5784, 540, 3047, 689, 2230, 269, 634, 5961, 941, 865, 5730, 602, 3744, 1223, 1293, 519, 1297, 543, 5686, 540, 7031, 538, 513, 2361, 269, 14924, 520, 4951, 1141, 3047, 781, 2627, 1185, 24966, 2059, 799, 16767, 1522, 4755, 269, 901, 1344, 5280, 538, 519, 4058, 540, 1007, 4872, 543, 15327, 269, 14924, 520, 849, 1500, 8906, 269, 769, 19778, 621, 4092, 9832, 540, 7164, 10239, 269, 898, 22942, 539, 1507, 12647, 538, 9098, 602, 941, 1100, 9522, 7851, 269, 14924, 520, 267, 1631, 811, 4359, 267, 1869, 13733, 2221, 269, 6271, 2230, 1907, 568, 3047, 9866, 6326, 268, 272, 630, 292, 302, 268, 272, 1040, 901, 14361, 13733, 1318, 3297, 14924, 520, 269, 898, 3217, 5961, 540, 519, 1482, 4609, 269, 634, 1079, 5036, 540, 5961, 267, 9763, 1927, 267, 1397, 875, 4872, 1332, 543, 875, 824, 4025, 267, 971, 607, 4764, 7733, 267, 1831, 4130, 936, 942, 269, 901, 2337, 3744, 1451, 875, 1004, 1860, 11585, 269, 2290, 540, 519, 21777, 2230, 2645, 568, 519, 2983, 7240, 6176, 7010, 630, 31043, 1040, 22944, 568, 2780, 3301, 602, 2337, 3744, 547, 1353, 3047, 269, 22944, 568, 1114, 689, 4505, 2230, 2645, 269, 24371, 267, 3506, 267, 543, 1256, 3328, 1004, 4534, 711, 1175, 519, 2229, 4534, 4754, 946, 621, 547, 1397, 873, 875, 2242, 538, 519, 4541, 1522, 1860, 873, 269, 3245, 519, 8574, 267, 649, 666, 18505, 602, 567, 9041, 476, 4586, 288, 269, 22944, 568, 519, 21777, 2780, 547, 1353, 3047, 454, 289, 269, 8331, 1152, 5673, 593, 6337, 547, 1353, 3047, 454, 290, 269, 9682, 5961, 666, 2285, 811, 2143, 1344, 454, 291, 269, 2487, 772, 2529, 269, 15408, 616, 607, 4359, 607, 519, 2025, 3283, 454, 12585, 281, 595, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 2025, 1922, 5831, 539, 4837, 627, 8636, 1782, 2370, 19176, 13711, 14328, 4418, 831, 834, 536, 834, 8799, 2370, 2025, 1922, 5831, 539, 14328, 13711, 19176, 4837, 627, 8636, 1782, 4418, 831, 834, 15017, 288, 281, 536, 0, 454, 9223, 281, 834, 3674, 11184, 328, 513, 3268, 3563, 540, 6307, 286, 1772, 19626, 1644, 547, 25562, 286, 769, 1804, 3885, 267, 621, 568, 3006, 2352, 547, 1832, 3950, 540, 782, 835, 781, 14077, 269, 634, 1739, 4661, 11394, 547, 12172, 930, 971, 1894, 281, 3502, 1373, 513, 3268, 3563, 540, 7325, 773, 568, 6190, 585, 711, 1373, 606, 22660, 540, 15182, 528, 269, 9861, 513, 23013, 540, 654, 7701, 568, 6190, 585, 1373, 606, 22660, 540, 15182, 528, 269, 3245, 713, 5205, 281, 5272, 23013, 540, 654, 7701, 568, 513, 3268, 3563, 540, 7325, 773, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21312, 1804, 2780, 834, 536, 834, 1804, 21312, 2780, 834, 15017, 288, 281, 536, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 24388, 3697, 4017, 1120, 20199, 2915, 834, 536, 834, 15265, 4017, 1120, 20199, 24388, 3697, 2915, 834, 15017, 288, 281, 513, 0, 5522, 11691, 1216, 1135, 334, 281, 589, 812, 538, 513, 9290, 18795, 1996, 513, 4282, 269, 1261, 12162, 338, 1010, 2212, 607, 646, 5654, 693, 519, 8254, 269, 1261, 1287, 5956, 547, 2911, 827, 1945, 269, 1261, 3124, 919, 1063, 6158, 543, 6947, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1107, 5689, 1998, 525, 454, 268, 7731, 1107, 5689, 341, 19687, 454, 268, 2637, 639, 1107, 2806, 601, 21573, 577, 639, 454, 268, 15661, 1107, 589, 269, 1965, 1529, 550, 639, 454, 268, 23642, 6706, 2012, 1107, 2806, 601, 21573, 577, 639, 1965, 1529, 550, 639, 563, 763, 5452, 540, 2806, 601, 21573, 577, 639, 10507, 1529, 550, 639, 700, 269, 941, 1332, 538, 476, 274, 1114, 17428, 570, 267, 570, 272, 267, 570, 273, 267, 630, 5472, 1695, 645, 12112, 3333, 717, 592, 3333, 534, 267, 476, 1001, 274, 994, 307, 1107, 6513, 630, 18744, 3037, 630, 278, 11899, 264, 1341, 1015, 5452, 994, 307, 272, 1700, 3281, 24031, 630, 5611, 575, 332, 264, 1341, 476, 1015, 5452, 1341, 14606, 630, 278, 11899, 994, 307, 273, 1107, 309, 1069, 545, 558, 14006, 630, 5611, 326, 332, 264, 1341, 476, 1015, 5452, 1341, 14606, 630, 278, 11899, 994, 1015, 552, 691, 1156, 17428, 941, 1031, 547, 1449, 519, 3543, 894, 2208, 6724, 540, 2806, 601, 21573, 577, 639, 1965, 1529, 656, 639, 630, 331, 8014, 9416, 264, 10448, 269, 634, 2450, 540, 1142, 1494, 729, 476, 1015, 6279, 2620, 543, 476, 279, 6279, 8700, 543, 4904, 609, 3037, 563, 763, 1739, 6724, 941, 4767, 593, 476, 1789, 628, 1485, 543, 476, 2568, 628, 1554, 540, 9544, 563, 10933, 3008, 13543, 300, 19006, 5508, 717, 4629, 310, 8025, 24315, 4456, 4953, 8991, 454, 4263, 1142, 7556, 1739, 6724, 941, 6592, 282, 1744, 2393, 3259, 630, 9492, 1070, 17848, 3259, 630, 9492, 1070, 7089, 540, 3762, 267, 23516, 1858, 630, 7825, 273, 1070, 1744, 2393, 18610, 2597, 630, 326, 332, 1070, 17848, 18610, 2597, 630, 326, 332, 1070, 1744, 2393, 16959, 2597, 630, 326, 332, 264, 543, 17848, 16959, 2597, 630, 326, 332, 1070, 25914, 19780, 563, 5475, 2126, 267, 6565, 27191, 941, 5402, 6569, 689, 519, 3037, 1510, 1022, 3441, 543, 18233, 538, 4881, 1216, 547, 4894, 519, 20170, 3037, 5536, 269, 634, 3259, 540, 519, 3597, 267, 9496, 543, 6978, 12523, 941, 2944, 563, 307, 21764, 594, 281, 11682, 22076, 2975, 8016, 4047, 300, 13965, 24315, 4456, 4953, 8991, 5508, 966, 2207, 300, 2975, 302, 6573, 302, 4306, 454, 16085, 269, 5591, 1475, 291, 904, 1475, 307, 805, 906, 1475, 335, 295, 1475, 4488, 1475, 301, 630, 8472, 1475, 303, 630, 8472, 1475, 298, 630, 8472, 1475, 290, 21610, 5223, 2008, 307, 21764, 4083, 281, 717, 4629, 310, 8025, 24315, 4456, 4953, 8991, 5508, 589, 269, 11536, 290, 8085, 19611, 4785, 454, 307, 21764, 8633, 281, 8863, 299, 3036, 8008, 14176, 17247, 28132, 7728, 5508, 589, 269, 11536, 290, 8085, 19611, 4785, 454, 16085, 269, 3143, 1475, 21675, 1475, 5591, 540, 12518, 10351, 3990, 630, 8472, 1475, 5591, 269, 540, 3762, 1475, 8867, 2378, 1858, 1475, 4537, 2393, 3259, 630, 9492, 10534, 305, 2393, 20099, 6262, 332, 10534, 24456, 27551, 6262, 332, 10534, 305, 2393, 674, 310, 1299, 667, 310, 14116, 332, 10534, 4537, 2393, 674, 310, 1299, 667, 310, 630, 326, 332, 10534, 5591, 269, 540, 9136, 1475, 5591, 540, 26540, 12898, 476, 3393, 628, 1485, 2008, 307, 1765, 6944, 1503, 630, 322, 578, 323, 2426, 1341, 3037, 1070, 570, 272, 1700, 29436, 3653, 266, 10800, 323, 2426, 267, 570, 273, 1700, 29436, 3653, 1341, 10800, 323, 2426, 1341, 3618, 11988, 454, 763, 2360, 540, 5574, 593, 6978, 715, 267, 623, 543, 918, 9830, 267, 2208, 543, 10448, 6556, 540, 589, 269, 10507, 1529, 550, 639, 941, 6594, 269, 22702, 609, 1852, 630, 307, 1070, 26128, 298, 1871, 570, 272, 543, 570, 273, 2799, 1297, 540, 6978, 267, 2030, 4463, 267, 1297, 540, 8371, 267, 6978, 1858, 267, 1297, 543, 2597, 540, 5613, 3648, 630, 335, 285, 271, 269, 4962, 1040, 17164, 762, 11729, 540, 589, 269, 10507, 1529, 550, 639, 2016, 676, 782, 519, 7066, 730, 11003, 941, 2147, 269, 634, 595, 21610, 5223, 729, 3648, 1164, 538, 2357, 6193, 558, 14006, 540, 19337, 3653, 269, 634, 595, 21610, 5223, 568, 835, 540, 519, 1292, 7355, 602, 4766, 519, 24600, 1184, 269, 898, 568, 1419, 1031, 607, 606, 4994, 540, 24600, 15657, 267, 5103, 1082, 25354, 2404, 609, 713, 1935, 267, 855, 621, 4667, 547, 581, 513, 6325, 9936, 585, 1739, 519, 1646, 540, 519, 24600, 1184, 630, 298, 15595, 559, 1696, 620, 1421, 476, 1220, 272, 1040, 634, 2242, 538, 595, 21610, 5223, 1223, 581, 3144, 607, 2963, 540, 519, 12159, 2557, 540, 519, 5214, 2326, 543, 519, 15657, 540, 11003, 269, 19869, 601, 8423, 573, 1696, 620, 1421, 630, 1220, 275, 264, 945, 7150, 602, 595, 21610, 1871, 540, 1472, 610, 2630, 476, 736, 1223, 581, 2808, 25685, 269, 10609, 531, 559, 1696, 620, 1421, 630, 1220, 272, 264, 7152, 602, 519, 595, 21610, 5223, 540, 9921, 11003, 1058, 23679, 581, 827, 476, 1015, 855, 713, 568, 15991, 2479, 24276, 1813, 547, 519, 4527, 540, 973, 531, 31842, 7949, 5214, 7135, 267, 610, 2326, 799, 5706, 17883, 1813, 547, 741, 2168, 610, 3114, 3601, 269, 2368, 4589, 4080, 602, 513, 595, 21610, 5223, 2630, 476, 736, 568, 606, 22566, 540, 11807, 15657, 269, 1717, 267, 27718, 525, 1696, 620, 1421, 630, 1220, 278, 264, 7150, 602, 11003, 1522, 581, 2808, 9921, 950, 595, 21610, 5223, 568, 5111, 476, 1704, 610, 1447, 267, 8259, 31429, 334, 3250, 340, 569, 6776, 2326, 2611, 269, 4347, 17802, 267, 519, 5672, 1258, 19153, 715, 267, 623, 543, 918, 616, 519, 1034, 10057, 2609, 676, 2371, 693, 519, 782, 5933, 540, 2208, 269, 634, 7274, 543, 1106, 540, 715, 267, 538, 1880, 267, 1459, 538, 23226, 610, 11003, 568, 1271, 538, 5935, 519, 2298, 540, 519, 1570, 543, 585, 922, 989, 1258, 5669, 946, 543, 616, 5051, 811, 1419, 3989, 538, 11003, 20487, 630, 299, 553, 541, 21355, 1696, 620, 1421, 476, 1220, 277, 543, 27718, 525, 1696, 620, 1421, 476, 1220, 278, 1040, 634, 9830, 540, 26128, 298, 941, 2799, 1282, 519, 24600, 1184, 538, 782, 5574, 630, 8368, 267, 476, 272, 1040, 4578, 5693, 4951, 602, 519, 9830, 540, 26128, 298, 538, 5214, 23226, 5574, 941, 2362, 982, 602, 540, 3114, 1437, 1807, 2126, 693, 3355, 543, 1439, 540, 24600, 1184, 269, 13575, 267, 519, 2333, 538, 2698, 26128, 298, 1282, 24600, 949, 723, 1044, 1813, 547, 519, 2121, 2530, 540, 3819, 2527, 607, 2530, 540, 5214, 595, 607, 2910, 273, 269, 5047, 267, 2698, 715, 666, 849, 581, 2799, 676, 519, 2238, 540, 1997, 894, 715, 1922, 30480, 4551, 693, 519, 1439, 540, 24600, 1184, 630, 6781, 23437, 5069, 573, 1696, 620, 1421, 476, 1220, 275, 1040, 1452, 2164, 616, 538, 2147, 609, 1346, 5833, 676, 1114, 4589, 630, 6781, 323, 4432, 5336, 6545, 3716, 1696, 620, 1421, 476, 1220, 272, 267, 476, 1220, 273, 282, 918, 822, 4275, 329, 1299, 1744, 12609, 267, 476, 1220, 274, 543, 661, 5866, 267, 476, 1220, 278, 1040, 21561, 538, 9436, 1543, 538, 519, 2357, 6193, 558, 14006, 568, 1813, 547, 519, 1249, 602, 3618, 19095, 8476, 519, 9436, 4783, 799, 11911, 547, 519, 2799, 2157, 540, 9436, 538, 2357, 6193, 558, 14006, 269, 634, 9271, 540, 5214, 3327, 1522, 581, 3743, 585, 9436, 1840, 538, 519, 1106, 540, 22024, 267, 9436, 748, 608, 4038, 800, 6878, 267, 12618, 8102, 2218, 10399, 543, 11476, 689, 519, 8937, 540, 3618, 19095, 630, 307, 8692, 27821, 543, 13225, 731, 342, 1690, 267, 476, 1220, 275, 1916, 5804, 519, 2164, 267, 621, 729, 4767, 602, 267, 519, 1840, 540, 19337, 3653, 1031, 607, 22853, 2799, 519, 3037, 5214, 2339, 1543, 607, 1134, 607, 2333, 538, 3037, 5567, 971, 607, 2139, 623, 543, 918, 267, 10566, 543, 2698, 595, 270, 715, 5223, 269, 634, 3498, 540, 5214, 23226, 849, 4824, 519, 2168, 10305, 540, 519, 3037, 269, 634, 3543, 894, 2208, 540, 2806, 601, 21573, 577, 639, 1965, 1529, 550, 639, 269, 700, 6592, 811, 610, 1447, 2147, 538, 782, 519, 5574, 269, 14465, 3570, 29660, 6565, 10480, 609, 10800, 546, 2426, 609, 3047, 21431, 630, 292, 644, 22567, 639, 552, 1872, 523, 23706, 264, 3037, 2982, 5214, 543, 22803, 2418, 540, 11003, 729, 5594, 2799, 538, 595, 21610, 5223, 982, 519, 14606, 10480, 609, 10800, 546, 2426, 269, 634, 1459, 1353, 8761, 602, 3498, 540, 2357, 6193, 558, 14006, 568, 3833, 6225, 538, 6738, 589, 269, 1965, 1529, 550, 639, 585, 2362, 2557, 540, 23286, 267, 2799, 2030, 1210, 2208, 282, 2333, 538, 6556, 6724, 543, 538, 2362, 2344, 762, 4829, 6556, 269, 1717, 267, 519, 1198, 540, 2357, 6193, 558, 14006, 9570, 568, 1586, 7693, 8200, 267, 609, 811, 11729, 563, 272, 269, 19869, 4432, 5336, 6545, 3716, 670, 14389, 5919, 631, 6993, 269, 589, 3960, 1794, 344, 282, 681, 6993, 269, 19869, 601, 5025, 345, 714, 543, 631, 269, 17939, 518, 269, 476, 1220, 272, 269, 645, 3999, 4920, 4146, 540, 5214, 6824, 540, 18513, 4396, 3653, 547, 11003, 543, 922, 812, 1116, 1198, 593, 10568, 2208, 269, 5527, 269, 808, 269, 14606, 2233, 1421, 476, 4375, 630, 274, 2567, 476, 279, 268, 1691, 563, 273, 269, 19869, 601, 8423, 573, 570, 269, 631, 5919, 570, 269, 670, 9461, 1276, 328, 543, 590, 269, 5136, 320, 269, 476, 1220, 275, 269, 3281, 24031, 540, 7573, 12450, 609, 3282, 23092, 22149, 14735, 543, 16738, 23226, 543, 922, 2360, 593, 535, 19487, 21167, 630, 309, 545, 807, 535, 19487, 700, 4700, 2208, 543, 3037, 3601, 269, 12713, 637, 1830, 3353, 565, 1421, 476, 11152, 281, 8146, 476, 6245, 563, 274, 269, 16589, 645, 12112, 3333, 717, 592, 3333, 534, 267, 670, 2378, 714, 17124, 590, 2801, 539, 267, 1744, 1794, 807, 808, 14865, 272, 267, 1677, 20899, 631, 2044, 655, 267, 17124, 1955, 3757, 5900, 320, 543, 17124, 589, 2381, 268, 644, 5937, 514, 269, 476, 1001, 274, 267, 12186, 540, 10960, 2494, 675, 593, 519, 12618, 543, 4886, 540, 21411, 571, 630, 6781, 601, 21573, 577, 639, 10507, 1529, 550, 639, 700, 13776, 8121, 14149, 4750, 540, 16581, 543, 18143, 3163, 267, 966, 5357, 269, 476, 279, 267, 12971, 269, 476, 274, 563, 275, 269, 645, 1002, 631, 10611, 267, 7799, 599, 324, 590, 10611, 267, 476, 1001, 273, 267, 715, 22021, 21073, 1656, 7233, 12618, 26472, 15783, 2986, 16721, 1563, 21502, 545, 558, 14006, 267, 4139, 4750, 2986, 7025, 7070, 267, 11730, 476, 274, 267, 3143, 476, 272, 563, 276, 269, 661, 5866, 631, 12171, 269, 476, 1220, 278, 269, 13335, 540, 6211, 8105, 21246, 1023, 585, 6721, 2922, 10448, 7031, 269, 631, 269, 2480, 269, 19080, 267, 20513, 540, 11982, 267, 918, 2378, 14843, 515, 16554, 2160, 454, 277, 269, 12722, 267, 631, 11482, 269, 476, 3192, 274, 269, 14606, 11906, 5811, 267, 623, 1370, 823, 8065, 540, 3127, 17721, 17290, 267, 1715, 16156, 563, 278, 269, 918, 822, 4275, 329, 543, 590, 269, 1744, 12609, 269, 476, 1220, 274, 269, 27391, 531, 4396, 3653, 2359, 998, 2357, 6193, 558, 14006, 532, 14139, 16678, 543, 2199, 2249, 540, 3618, 19095, 269, 12713, 637, 1830, 3353, 565, 1421, 476, 3445, 281, 476, 15433, 476, 15876, 563, 279, 269, 10609, 531, 559, 589, 15660, 5919, 631, 2529, 269, 2142, 515, 776, 543, 661, 8160, 269, 30561, 269, 476, 1220, 272, 269, 16424, 540, 15451, 5095, 543, 741, 1591, 592, 32673, 2238, 1282, 519, 24600, 540, 18513, 4396, 22837, 269, 2622, 808, 269, 540, 5843, 6798, 269, 4437, 27370, 565, 269, 476, 1704, 281, 476, 14028, 268, 476, 14065, 563, 280, 269, 20098, 541, 21355, 918, 5919, 594, 269, 5019, 641, 23981, 282, 631, 269, 918, 1824, 537, 282, 717, 269, 15815, 573, 529, 282, 570, 269, 2494, 3930, 543, 589, 269, 19109, 686, 659, 537, 269, 476, 1220, 277, 269, 10866, 4879, 540, 11003, 338, 538, 519, 5259, 2344, 281, 634, 991, 585, 4441, 543, 2298, 22059, 269, 808, 269, 540, 30287, 269, 5004, 267, 476, 3199, 281, 476, 6812, 476, 4792, 563, 1015, 269, 27718, 525, 589, 5919, 962, 269, 595, 754, 517, 543, 631, 11053, 269, 4446, 1537, 269, 476, 1220, 278, 269, 16214, 540, 18513, 4396, 3653, 11003, 607, 513, 2030, 3395, 2923, 5057, 267, 676, 7311, 7848, 1374, 269, 12713, 637, 1830, 5303, 267, 476, 7176, 267, 476, 27420, 280, 268, 28906, 276, 563, 1556, 269, 717, 641, 514, 11936, 267, 681, 543, 631, 10422, 21531, 1662, 267, 476, 1001, 274, 269, 4437, 27019, 11437, 540, 17667, 17904, 4635, 3131, 542, 344, 343, 2781, 2643, 534, 18424, 543, 10597, 2773, 540, 14471, 593, 4563, 12896, 630, 309 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 888, 4415, 5230, 12271, 1631, 649, 723, 1185, 547, 6338, 606, 14721, 5279, 547, 4308, 609, 15549, 344, 2152, 585, 799, 4352, 649, 616, 513, 31066, 855, 1705, 711, 3761, 519, 6221, 269, 1403, 649, 4769, 1406, 1118, 1256, 513, 1507, 2179, 540, 7443, 9513, 621, 267, 649, 666, 1406, 17854, 9878, 519, 2022, 720, 547, 6494, 621, 1055, 547, 581, 30465, 269, 1656, 952, 519, 8227, 540, 1007, 6539, 6499, 547, 2119, 621, 856, 267, 1287, 649, 786, 581, 12123, 1864, 585, 519, 7535, 610, 1930, 1216, 7886, 269, 1924, 875, 1454, 1281, 519, 9642, 11278, 736, 602, 646, 10710, 2731, 2339, 286, 30052, 547, 1864, 602, 20974, 1229, 513, 2603, 267, 855, 5310, 1631, 646, 779, 2938, 519, 1871, 547, 519, 3028, 649, 1683, 646, 3580, 556, 29264, 286, 634, 1434, 3377, 568, 602, 1100, 14633, 814, 2943, 11827, 513, 1259, 547, 4647, 2011, 3842, 513, 18292, 10814, 267, 865, 649, 3580, 581, 7487, 1864, 1394, 538, 519, 4558, 1483, 4166, 269, 5620, 513, 1589, 827, 519, 3354, 540, 707, 3761, 5832, 585, 11362, 269, 10871, 667, 633, 853, 2803, 723, 16841, 338, 543, 949, 1942, 513, 2370, 811, 267, 855, 789, 786, 581, 1472, 547, 3761, 707, 2011, 267, 1683, 18203, 693, 2110, 5469, 267, 16926, 6539, 267, 2285, 5796, 543, 1489, 707, 16306, 269, 2659, 11362, 2238, 1131, 581, 28222, 811, 2352, 952, 789, 20374, 563, 2171, 7048, 593, 938, 11362, 14609, 625, 711, 1152, 547, 2671, 519, 2922, 11362, 649, 616, 782, 5275, 267, 855, 547, 1683, 519, 1489, 547, 1491, 593, 811, 4101, 546, 1161, 543, 519, 1394, 5346, 950, 1919, 979, 4636, 269, 16840, 540, 824, 5026, 1810, 1406, 723, 547, 7048, 593, 1142, 824, 538, 4376, 899, 519, 1482, 1259, 269, 18648, 16542, 593, 513, 11176, 12334, 1797, 596, 6336, 519, 6474, 267, 855, 1100, 14633, 779, 1272, 1131, 581, 13155, 676, 621, 269, 18648, 16542, 593, 513, 4685, 7552, 1797, 5135, 26561, 1810, 1406, 1205, 13761, 267, 4685, 5618, 338, 1205, 1236, 5792, 543, 519, 4093, 666, 581, 14686, 3978, 269, 2060, 2178, 21341, 593, 519, 1004, 538, 938, 4685, 8998, 666, 2097, 2178, 4664, 269, 7043, 9227, 2818, 540, 513, 8630, 786, 917, 1142, 824, 779, 3885, 267, 1453, 786, 6108, 741, 4832, 14812, 593, 4685, 15143, 543, 1451, 547, 2879, 1251, 601, 610, 4685, 1369, 519, 7936, 269, 6348, 1673, 1516, 4891, 666, 4749, 581, 1336, 27459, 2358, 513, 3014, 540, 11824, 25319, 585, 513, 16455, 4452, 540, 4129, 685, 1453, 269, 1924, 530, 4141, 1532, 564, 728, 1022, 3627, 5500, 2275, 727, 2000, 2299, 945, 5267, 602, 267, 3079, 540, 519, 5993, 31145, 547, 1284, 2096, 1926, 267, 789, 1131, 899, 547, 2212, 547, 519, 10787, 928, 11866, 713, 1032, 269, 1411, 616, 711, 11021, 602, 11362, 609, 20910, 1522, 581, 513, 1187, 7552, 269, 7937, 1100, 256, 1411, 616, 630, 514, 30541, 1836, 264, 10404, 2358, 1296, 540, 1920, 4832, 9702, 2245, 256, 1215, 1360, 546, 732, 596, 888, 291, 1516, 24643, 1004, 689, 513, 2647, 2039, 540, 1554, 6009, 543, 609, 602, 3309, 4282, 2501, 513, 2647, 2039, 540, 1983, 269, 634, 1883, 3364, 585, 782, 540, 721, 568, 519, 2702, 547, 960, 1369, 519, 2319, 267, 547, 2463, 1142, 824, 779, 5133, 267, 547, 21907, 1689, 543, 547, 1832, 606, 1930, 2247, 269, 634, 2816, 540, 513, 4685, 14357, 949, 3100, 2241, 855, 2731, 1434, 16929, 786, 723, 513, 5578, 1305, 602, 1131, 1118, 513, 19684, 8116, 979, 4617, 693, 519, 19704, 269, 2368, 942, 3516, 513, 1353, 6836, 547, 5173, 519, 1871, 540, 513, 3993, 267, 10992, 782, 1200, 1082, 5107, 543, 14499, 519, 5010, 6697, 269, 634, 3803, 4137, 729, 12341, 936, 11278, 1911, 267, 1822, 513, 1032, 269, 32027, 513, 1871, 593, 707, 4685, 8998, 9614, 786, 7866, 513, 2147, 17559, 4137, 269, 2052, 596, 4952, 14139, 2576, 547, 2638, 519, 2866, 267, 7747, 16929, 267, 2743, 543, 26250, 267, 21825, 1544, 267, 1832, 29601, 593, 519, 6539, 543, 4383, 519, 2818, 1369, 519, 8630, 286, 1280, 1346, 21616, 2818, 1369, 15731, 5225, 4063, 594, 4481, 1767, 8380, 513, 1871, 593, 707, 11298, 267, 711, 513, 3902, 256, 667, 633, 15731, 666, 581, 519, 1034, 24858, 4025, 538, 519, 1158, 693, 2053, 1107, 855, 789, 666, 849, 581, 519, 1034, 14785, 543, 11215, 5054, 585, 707, 4685, 9035, 563, 16521, 16523, 20617, 563, 27094, 568, 538, 519, 2011, 269, 1306, 4129, 649, 15069, 4782, 938, 2011, 547, 581, 796, 4186, 3133, 730, 538, 19037, 267, 855, 519, 4641, 568, 602, 1082, 540, 721, 786, 2743, 938, 4891, 4882, 335, 11817, 4882, 22658, 1866, 998, 938, 4685, 8630, 267, 610, 593, 513, 1576, 12341, 267, 610, 16304, 1472, 513, 4685, 10935, 269, 1703, 779, 606, 19969, 602, 2501, 609, 2348, 513, 11362, 7649, 269, 1358, 2907, 917, 827, 519, 12404, 3585, 2038, 6238, 547, 1205, 547, 519, 1793, 871, 1216, 6885, 593, 513, 4685, 3135, 269, 1358, 1174, 519, 2566, 950, 707, 15964, 7552, 568, 3138, 4040, 543, 596, 1869, 10093, 1406, 7307, 547, 1205, 547, 519, 4685, 6300, 585, 606, 2011, 6445, 269, 1358, 616, 6126, 547, 10205, 1022, 2856, 602, 519, 25880, 786, 2479, 13918, 519, 1286, 1586, 607, 707, 4015, 540, 4685, 6539, 21040, 547, 6445, 519, 2139, 2230, 269, 1358, 917, 602, 596, 786, 9096, 707, 4685, 609, 4552, 23401, 513, 6177, 779, 9566, 543, 513, 1159, 792, 540, 521, 2254, 2066, 707, 3068, 269, 1656, 789, 4465, 1406, 1589, 1022, 1447, 540, 596, 585, 1022, 540, 621, 563, 1103, 1249, 972, 568, 1945, 4720, 3320, 2318, 827, 24574, 1359, 909, 609, 1776, 11651, 269, 1411, 4076, 3893, 513, 2596, 1072, 5496, 585, 26784, 269, 1656, 972, 779, 513, 10257, 1377, 540, 2168, 8516, 269, 634, 2702, 547, 4163, 513, 476, 1428, 1396, 516, 12718, 568, 513, 5386, 1449, 585, 1373, 2111, 547, 4163, 519, 10918, 538, 689, 519, 1286, 610, 513, 27445, 11127, 540, 6632, 11067, 269, 667, 1392, 3622, 723, 513, 1377, 540, 4052, 1983, 3730, 2614, 585, 1034, 18789, 269, 1656, 1022, 667, 633, 26064, 945, 814, 6707, 14609, 1221, 513, 8401, 267, 9241, 6709, 531, 1881, 11651, 786, 723, 1004, 1983, 547, 4308, 609, 1034, 3871, 538, 1272, 563, 296, 2899, 3576, 513, 11651, 856, 538, 30259, 593, 513, 8799, 2653, 13272, 4685, 267, 855, 519, 13581, 2220, 749, 4881, 1500, 3478, 1394, 547, 13272, 835, 540, 1346, 562, 1021, 908, 8090, 1141, 519, 32420, 543, 721, 941, 3001, 538, 10103, 855, 519, 26026, 539, 729, 3257, 922, 1378, 3364, 269, 901, 729, 1932, 1454, 585, 1250, 8401, 27466, 324, 945, 1129, 6817, 543, 18188, 909, 269, 1284, 10841, 2105, 1927, 543, 593, 519, 2627, 1352, 22883, 1200, 1036, 856, 1354, 1352, 8910, 1102, 3836, 1200, 645, 7374, 269, 15775, 513, 6109, 17945, 593, 1200, 267, 594, 6603, 585, 1200, 4870, 1807, 543, 5734, 519, 7735, 269, 3733, 8007, 729, 513, 3068, 2407, 540, 12154, 527, 607, 1200, 15798, 32169, 16765, 809, 1200, 269, 8550, 723, 594, 1044, 865, 18507, 585, 1250, 9633, 543, 26273, 269, 1809, 1018, 5140, 2866, 585, 30822, 11856, 256, 25175, 945, 814, 2479, 556, 1563, 1453, 786, 5660, 519, 7287, 547, 2196, 2476, 543, 1205, 930, 14662, 308, 10621, 6539, 1354, 4657, 606, 23292, 562, 7026, 269, 4634, 952, 707, 25903, 936, 3699, 596, 543, 596, 6430, 547, 3251, 609, 519, 4816, 267, 693, 2547, 707, 7362, 3180, 2553, 786, 2097, 538, 1360, 13561, 563, 2252, 707, 7649, 568, 711, 513, 11651, 1287, 596, 786, 723, 547, 2226, 519, 25386, 2011, 540, 519, 2048, 1372, 788, 4262, 11651, 9957, 1280, 1875, 1673, 1392, 938, 1158, 666, 581, 513, 9490, 543, 14845, 1747, 267, 543, 741, 2035, 540, 4129, 786, 581, 11461, 676, 1530, 534, 1230, 1676, 344, 607, 6276, 20607, 19480, 856, 540, 513, 3819, 9290, 538, 7108, 325, 5424, 269, 3571, 12129, 29075, 729, 1799, 659, 3634, 269, 594, 6836, 713, 2899, 585, 513, 4670, 873, 539, 16681, 10571, 5428, 269, 594, 7479, 12184, 1250, 19033, 547, 22937, 803, 1010, 12129, 29075, 543, 21039, 856, 540, 519, 1394, 540, 519, 1286, 267, 524, 7342, 569, 6288, 539, 1152, 476, 736, 18126, 1472, 519, 7944, 269, 27975, 569, 14018, 609, 1250, 4685, 6539, 593, 594, 15336, 547, 519, 4395, 7450, 543, 678, 836, 519, 11350, 269, 898, 729, 5147, 543, 676, 519, 942, 594, 1185, 1500, 1250, 6264, 13675, 5310, 476, 736, 3764, 1185, 5293, 269, 3733, 14039, 11726, 576, 632, 678, 15530, 2700, 729, 547, 1930, 1250, 3819, 338, 3726, 543, 1900, 856, 269, 1656, 972, 594, 11542, 267, 538, 519, 1835, 636, 9482, 267, 1212, 1078, 267, 521, 690, 4445, 3190, 18005, 1634, 607, 1250, 19033, 779, 12129, 9290, 269, 898, 729, 606, 13675, 620, 2431, 269, 2755, 9878, 519, 970, 10407, 622, 3819, 7738, 3915, 267, 594, 10630, 593, 875, 519, 2923, 28420, 11362, 607, 971, 513, 1350, 600, 5387, 7328, 543, 875, 649, 723, 513, 5539, 547, 1832, 602, 9800, 585, 938, 1875, 1673, 1516, 2828, 543, 1894, 563, 2005, 779, 1152, 950, 649, 22321, 519, 1875, 1673, 1392, 547, 2097, 543, 2119, 513, 14662, 308, 10621, 8400, 602, 789, 786, 2731, 1174, 1018, 649, 2461, 909, 547, 543, 952, 649, 616, 18822, 789, 949, 1134, 581, 554, 10541, 1932, 269, 898, 779, 2009, 547, 1205, 9310, 14015, 538, 513, 1297, 540, 4025, 538, 519, 1158, 269, 5502, 540, 6031, 968, 296, 798, 5608, 596, 666, 5385, 968, 10498, 892, 4191, 543, 1287, 979, 585, 519, 1101, 21098, 269, 898, 4465, 1406, 581, 513, 1279, 267, 13730, 267, 6537, 13050, 2879, 690, 256, 1809, 621, 786, 23248, 581, 519, 1376, 540, 4687, 1272, 779, 7045, 609, 707, 14609, 344, 269, 2311, 2547, 596, 1058, 2569, 519, 1297, 540, 14538, 547, 1945, 19242, 607, 596, 666, 3970, 20217, 547, 11727, 4129, 269, 4208, 711, 6060, 3063, 2798, 609, 707, 4685, 14609, 625, 543, 1118, 621, 513, 8630, 7552, 286, 2991, 782, 596, 2461, 513, 11651, 1107, 596, 666, 1491, 519, 2604, 256, 8414, 27223, 779, 4303, 563, 31466, 3559, 548, 814, 1044, 1085, 18866, 11362, 585, 5176, 476, 1789, 1296, 269, 14301, 593, 1200, 2257, 4282, 1352, 8214, 956, 930, 11353, 540, 7286, 2257, 269, 543, 3006, 814, 513, 2427, 1811, 16145, 693, 519, 1004, 543, 2621, 602, 1352, 13341, 538, 519, 11362, 1158, 269, 0, 2691, 19555, 2335, 13153, 29581, 3128, 16379, 2966, 1018, 729, 9247, 519, 1158, 779, 1101, 3167, 13691, 267, 646, 4769, 1406, 798, 856, 540, 513, 991, 547, 2482, 1524, 29511, 344, 678, 14554, 593, 519, 24528, 540, 519, 10910, 710, 269, 1548, 646, 2877, 729, 513, 1259, 547, 5352, 18565, 543, 3575, 4626, 321, 637, 538, 513, 19915, 547, 1732, 1174, 519, 7574, 640, 543, 6219, 540, 20262, 4992, 269, 1261, 6038, 3357, 909, 609, 513, 3126, 540, 30788, 15181, 25122, 585, 802, 554, 10541, 909, 547, 21567, 6949, 2209, 267, 543, 1631, 596, 666, 2119, 547, 1378, 835, 540, 707, 1169, 1378, 2507, 14322, 596, 4076, 3893, 1063, 693, 2547, 1269, 736, 267, 1822, 8781, 513, 8559, 538, 707, 17927, 269, 901, 1880, 1770, 2443, 646, 1233, 540, 3574, 543, 10569, 627, 8636, 1194, 689, 3979, 32334, 2443, 7012, 1406, 1500, 676, 29581, 3128, 16379, 5128, 267, 855, 621, 568, 835, 540, 519, 1906, 6967, 1806, 540, 971, 476, 866, 628, 2540, 10509, 1869, 538, 6228, 269, 1677, 5873, 25488, 30549, 12844, 327, 4461, 2995, 519, 9661, 267, 972, 779, 1175, 835, 824, 13735, 1472, 519, 2136, 2276, 630, 534, 1278, 4667, 547, 581, 538, 2922, 3946, 693, 519, 2160, 540, 17842, 1040, 2271, 29098, 286, 634, 29581, 3128, 16379, 13754, 6500, 786, 979, 909, 585, 25488, 538, 1715, 3840, 2097, 3735, 5239, 2059, 609, 513, 11739, 342, 540, 824, 3621, 1225, 3930, 689, 1394, 538, 519, 1554, 563, 1805, 641, 3694, 24692, 543, 4421, 1359, 1107, 1376, 1818, 5612, 256, 1520, 2378, 8816, 779, 18065, 7591, 3033, 568, 25888, 1790, 17977, 609, 27178, 267, 8596, 267, 16181, 267, 32613, 1807, 17157, 21181, 543, 811, 269, 12706, 3785, 609, 18065, 7591, 3033, 538, 513, 1906, 3764, 609, 519, 8749, 7146, 1673, 1886, 5269, 24927, 5752, 3135, 267, 1451, 2780, 2257, 1210, 519, 11483, 13028, 625, 1362, 593, 3009, 3820, 267, 7914, 883, 18065, 23911, 547, 1451, 5124, 543, 8800, 1927, 267, 570, 4176, 32271, 267, 610, 1256, 946, 519, 20798, 9517, 292, 269, 18065, 7591, 3033, 18124, 568, 519, 21777, 543, 1655, 18065, 7591, 3033, 4604, 267, 609 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 419, 376, 500, 19540, 503, 22047, 16583, 30936, 8147, 10429, 370, 30853, 17958, 15159, 16533, 484, 27447, 24662, 7511, 21211, 31033, 4970, 366, 9463, 491, 420, 377, 361, 13213, 485, 23521, 354, 12486, 27447, 24662, 21211, 31033, 4970, 366, 23284, 21211, 31033, 12255, 14756, 482, 1347, 26514, 476, 7511, 25051, 351, 19764, 493, 14756, 503, 24731, 12486, 692, 21251, 28884, 14756, 503, 9463, 355, 14035, 500, 7511, 12255, 14756, 482, 26166, 421, 483, 491, 30903, 507, 14035, 500, 7511, 419, 358, 374, 25426, 368, 8147, 12916, 510, 417, 379, 483, 421, 350, 375, 31308, 509, 17295, 364, 32517, 362, 418, 498, 373, 27447, 24662, 12255, 14756, 482, 18998, 12916, 379, 17958, 744, 263, 272, 264, 476, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25335, 352, 19540, 367, 30244, 13601, 25426, 362, 30903, 502, 12486, 692, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 12255, 14756, 482, 18809, 7511, 19867, 478, 20069, 21211, 31033, 421, 25693, 15159, 32412, 2862, 22614, 510, 479, 23989, 18809, 7511, 23746, 19867, 497, 22287, 364, 21211, 31033, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 14277, 327, 14824, 324, 14824, 331, 14824, 331, 14824, 334, 31116, 27447, 24731, 16088, 14277, 334, 14824, 331, 14824, 331, 14824, 324, 14824, 327, 31116, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 14277, 295, 14824, 320, 14824, 333, 14824, 333, 14824, 320, 14824, 327, 31116, 27447, 24731, 16088, 14277, 327, 14824, 320, 14824, 333, 14824, 333, 14824, 320, 14824, 295, 257, 6540, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 22812, 2091, 268, 11415, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 9258, 21803, 272, 4311, 267, 521, 281, 5903, 314, 1598, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 521, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 561, 267, 678, 815, 476, 271, 267, 7003, 4433, 264, 910, 476, 272, 454, 1038, 1247, 561, 2999, 678, 912, 2018, 521, 314, 331, 3910, 521, 314, 337, 316, 815, 521, 314, 337, 3910, 521, 314, 331, 2639, 2018, 561, 6834, 476, 272, 454, 2018, 678, 20699, 476, 272, 454, 1038, 2132, 521, 692, 825, 1219, 9258, 21803, 273, 4311, 267, 521, 281, 5903, 314, 1598, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 521, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 521, 11468, 316, 815, 521, 11468, 18737, 272, 2639, 1038, 2132, 521, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 22373, 327, 2580, 834, 324, 2580, 834, 331, 2580, 834, 331, 2580, 834, 334, 31116, 825, 1820, 263, 11405, 14061, 516, 2091, 21803, 272, 4433, 4917, 825, 1820, 263, 11405, 14061, 516, 2091, 21803, 273, 4433, 4917, 0, 12163, 13893, 273, 269, 13127, 377, 351, 29873, 4970, 353, 14748, 19764, 480, 16043, 500, 25203, 372, 419, 511, 487, 12255, 14756, 482, 7511, 4970, 487, 30317, 14756, 482, 12255, 25203, 362, 454, 14756, 503, 12916, 510, 22047, 10533, 368, 12255, 12255, 14756, 482, 2855, 476, 12486, 692, 27064, 364, 421, 506, 478, 28884, 10524, 492, 12255, 14756, 482, 18809, 9463, 500, 4970, 487, 14748, 31284, 21550, 485, 1775, 18998, 329, 13127, 23687, 737, 5236, 376, 490, 10429, 370, 18809, 630, 271, 10922, 1775, 2999, 795, 10922, 737, 2999, 2855, 32324, 264, 476, 12486, 692, 320, 13127, 23687, 536, 13127, 362, 504, 18263, 487, 417, 28187, 31284, 16088, 692, 320, 815, 2855, 5157, 316, 9745, 2855, 5157, 1341, 476, 272, 316, 9745, 3267, 9745, 2855, 14728, 910, 476, 272, 2639, 321, 815, 2855, 14728, 316, 9745, 2855, 14728, 1341, 476, 272, 316, 9745, 3267, 9745, 2855, 25208, 2639, 21796, 357, 418, 482, 493, 16088, 317, 476, 23989, 419, 353, 374, 17276, 490, 487, 12916, 491, 19764, 480, 16043, 500, 17276, 497, 491, 30853, 12486, 692, 13644, 371, 13213, 498, 18713, 508, 420, 25693, 14035, 509, 10524, 353, 513, 2652, 536, 476, 29873, 419, 360, 489, 7511, 4970, 487, 30317, 14756, 482, 630, 328, 267, 795, 2073, 737, 264, 476, 7511, 12255, 25203, 362, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 273, 267, 274, 267, 272, 267, 277, 267, 278, 2639, 27447, 24731, 16088, 275, 454, 25335, 352, 19404, 488, 16088, 418, 375, 350, 420, 370, 367, 30903, 502, 418, 482, 493, 7511, 4970, 487, 30317, 14756, 482, 26166, 10254, 360, 15159, 630, 271, 267, 272, 267, 273, 1070, 630, 271, 267, 273, 267, 273, 1070, 630, 273, 267, 274, 267, 275, 264, 476, 23284, 9463, 488, 630, 273, 267, 275, 267, 275, 994, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 272, 267, 272, 267, 272, 267, 272, 267, 272, 2639, 27447, 24731, 16088, 1015, 454, 419, 353, 374, 28032, 489, 476, 274, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 273, 267, 274, 2639, 27447, 24731, 16088, 271, 454, 419, 353, 374, 28032, 489, 476, 275, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 272, 267, 274, 267, 276, 267, 278, 267, 280, 2639, 27447, 24731, 16088, 274, 454, 419, 353, 374, 28032, 489, 476, 276, 16088, 692, 27447, 24662, 16088, 1551, 815, 1496, 278, 267, 1556, 267, 1321, 267, 280, 267, 276, 267, 273, 267, 278, 267, 1704, 267, 2420, 2639, 27447, 24731, 16088, 279, 454, 24372, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 2855, 32324, 10922, 476, 4968, 454, 272, 10922, 2855, 5157, 316, 10922, 476, 1015, 317, 279, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11305, 870, 2389, 686, 921, 1206, 6253, 520, 2275, 534, 27322, 26690, 268, 541, 7590, 6361, 268, 16029, 14870, 528, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 10070, 1104, 22388, 454, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 1293, 31590, 921, 1206, 272, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 454, 1038, 476, 272, 269, 476, 13200, 365, 30903, 502, 418, 482, 493, 23523, 501, 8147, 1551, 5157, 316, 317, 8796, 317, 1551, 25208, 316, 2525, 271, 267, 330, 285, 328, 8147, 16043, 495, 10524, 361, 23746, 23284, 418, 481, 367, 28996, 31176, 491, 419, 376, 478, 25520, 454, 1038, 476, 273, 269, 13127, 28187, 31563, 2181, 5157, 316, 2525, 2181, 25208, 316, 8147, 330, 285, 284, 328, 266, 273, 421, 480, 352, 18263, 486, 5157, 266, 272, 267, 330, 316, 18263, 489, 25426, 368, 19867, 478, 20069, 12255, 421, 25693, 418, 375, 350, 420, 370, 367, 23521, 350, 10524, 370, 454, 1038, 7711, 12407, 2855, 912, 1038, 7711, 8873, 912, 1038, 8173, 1038, 562, 815, 7003, 19906, 994, 1038, 759, 815, 476, 271, 454, 1038, 840, 815, 1496, 271, 316, 2608, 630, 333, 1341, 476, 272, 994, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 840, 5157, 1341, 476, 272, 316, 815, 840, 5157, 316, 9745, 2855, 5157, 2639, 1038, 1948, 2855, 5157, 316, 317, 8796, 317, 1551, 25208, 316, 2525, 271, 267, 330, 285, 328, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 585, 737, 538, 2039, 9217, 1341, 476, 273, 267, 562, 1341, 476, 272, 2187, 3546, 952, 840, 5157, 316, 2652, 840, 25208, 14158, 7386, 759, 6834, 737, 910, 1775, 910, 476, 272, 454, 1038, 2132, 759, 692, 825, 1219, 1293, 31590, 921, 1206, 273, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 454, 1038, 476, 272, 269, 13127, 506, 357, 329, 272, 25814, 273, 267, 8796, 267, 329, 332, 18809, 421, 25693, 418, 375, 350, 420, 370, 367, 8147, 10254, 503, 26233, 375, 12255, 20992, 9217, 18191, 272, 11924, 263, 328, 18191, 273, 11924, 8796, 23444, 328, 18191, 332, 994, 1038, 476, 273, 269, 17276, 487, 478, 23284, 421, 506, 478, 28884, 14756, 509, 18777, 350, 328, 7511, 14748, 12255, 25520, 27818, 329, 272, 266, 329, 273, 266, 8796, 266, 329, 332, 24724, 454, 1038, 7711, 12407, 2855, 912, 1038, 7711, 8873, 912, 1038, 8173, 1038, 562, 815, 7003, 19906, 994, 1038, 759, 815, 476, 271, 454, 1038, 840, 815, 476, 271, 454, 1038, 524, 660, 267, 2698, 815, 22388, 19572, 22388, 4590, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 512, 815, 840, 9745, 2855, 5157, 2639, 2018, 952, 512, 538, 524, 660, 912, 3546, 759, 6834, 524, 660, 314, 339, 316, 2608, 1775, 910, 2698, 314, 339, 2639, 2018, 524, 660, 314, 2181, 316, 6834, 476, 272, 454, 2018, 2698, 314, 2181, 316, 6834, 1775, 454, 2018, 840, 815, 512, 692, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2855, 815, 1496, 273, 267, 476, 274, 267, 476, 272, 267, 476, 277, 267, 476, 278, 2639, 825, 1820, 263, 11405, 14061, 12248, 31590, 921, 1206, 272, 19906, 4917, 825, 1820, 263, 11405, 14061, 12248, 31590, 921, 1206, 273, 19906, 4917, 0, 18411, 17637, 513, 16866, 4528, 540, 12108, 1141, 3755, 666, 2022, 17408, 1115, 267, 1246, 270, 684, 31742, 1776, 3593, 543, 568, 2111, 547, 1294, 519, 476, 1015, 1034, 2487, 17408, 1115, 538, 519, 3593, 781, 3377, 3049, 269, 2659, 1374, 1058, 1489, 519, 1739, 2409, 1384, 14006, 307, 11548, 263, 12528, 27306, 267, 512, 11548, 27306, 2567, 1290, 2821, 513, 1007, 512, 11548, 563, 1326, 21158, 293, 3975, 263, 12528, 27306, 2567, 4825, 4471, 557, 519, 476, 1015, 1034, 2487, 512, 11548, 476, 1749, 538, 519, 3593, 781, 3377, 3049, 269, 3962, 6221, 538, 519, 3377, 3049, 1590, 581, 11540, 676, 3755, 945, 519, 3593, 4553, 610, 676, 519, 3593, 9887, 269, 570, 933, 1115, 1590, 581, 10288, 689, 1034, 2487, 547, 2547, 2487, 563, 31742, 6600, 4772, 518, 27306, 267, 1246, 2465, 27306, 2567, 7427, 518, 5205, 513, 1246, 2465, 563, 684, 31742, 6600, 4772, 518, 27306, 267, 1246, 2465, 27306, 2567, 7427, 518, 4652, 4772, 338, 513, 1246, 2465, 563, 7078, 1384, 23562, 7867, 1000, 7867, 815, 1007, 12108, 3890, 16963, 2260, 14871, 476, 272, 9708, 513, 1007, 512, 11548, 630, 573, 815, 476, 276, 1916, 13512, 7867, 4877, 739, 307, 11548, 263, 272, 267, 476, 276, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 272, 512, 11548, 7329, 9847, 1496, 276, 14073, 13512, 7867, 10947, 21158, 293, 3975, 263, 272, 32007, 2260, 14871, 476, 272, 5205, 3593, 476, 273, 563, 13512, 7867, 8807, 4772, 263, 272, 267, 476, 273, 32007, 2260, 14871, 476, 273, 9708, 513, 1007, 512, 11548, 630, 573, 815, 476, 277, 1916, 13512, 7867, 4877, 739, 307, 11548, 263, 273, 267, 476, 277, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 273, 512, 11548, 476, 1749, 9847, 1496, 277, 267, 476, 276, 14073, 2260, 570, 11548, 7329, 476, 277, 1058, 9551, 324, 512, 11548, 7329, 476, 276, 1317, 621, 568, 11540, 1310, 512, 11548, 7329, 476, 276, 563, 13512, 7867, 10947, 21158, 293, 3975, 263, 272, 32007, 2260, 14871, 476, 272, 4652, 4772, 338, 3593, 476, 273, 563, 13512, 7867, 26509, 31742, 263, 272, 267, 476, 273, 32007, 2260, 14871, 476, 272, 781, 3377, 3049, 1058, 2132, 513, 1592, 609, 476, 272, 512, 11548, 7329, 9847, 1496, 276, 16689, 2260, 2094, 3593, 476, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 3460, 540, 669, 4377, 919, 5956, 689, 513, 3529, 2336, 763, 4062, 540, 10217, 1521, 602, 23900, 6013, 20386, 538, 519, 21684, 540, 513, 17711, 4558, 11438, 609, 621, 2984, 540, 1004, 538, 519, 3979, 11782, 945, 1332, 891, 9589, 9341, 4054, 269, 1306, 649, 4894, 519, 12109, 3899, 267, 649, 10625, 519, 23342, 6079, 267, 693, 519, 1482, 942, 649, 1921, 609, 519, 3504, 1004, 945, 8057, 873, 547, 519, 1034, 2413, 540, 519, 1480, 5198, 945, 946, 621, 607, 513, 3090, 540, 2648, 610, 607, 606, 12835, 547, 8661, 8788, 269, 27009, 267, 669, 4377, 919, 723, 1831, 606, 4948, 17195, 269, 932, 4377, 919, 616, 11593, 2139, 538, 15945, 607, 1134, 607, 2228, 269, 4653, 267, 1175, 3217, 513, 1906, 30390, 540, 519, 2780, 10856, 547, 10516, 513, 27974, 12064, 8423, 704, 538, 5177, 547, 707, 6068, 3283, 945, 3251, 972, 563, 763, 1650, 540, 891, 20386, 669, 4377, 919, 568, 1360, 993, 6748, 269, 898, 6238, 689, 519, 4054, 4422, 593, 547, 519, 16027, 779, 3946, 543, 7475, 909, 609, 596, 10438, 621, 269, 589, 10217, 1521, 602, 568, 15874, 5001, 814, 513, 1360, 16434, 4098, 269, 589, 23342, 21167, 6238, 922, 3460, 689, 3330, 519, 4829, 1634, 607, 513, 10540, 269, 1452, 10540, 338, 1332, 593, 4054, 1336, 538, 4639, 4000, 267, 3162, 3013, 543, 2694, 540, 3162, 7232, 770, 5607, 563, 290, 665, 10394, 4054, 616, 10347, 543, 4988, 609, 5810, 602, 991, 513, 2603, 540, 512, 2056, 269, 1358, 1332, 538, 9341, 7733, 538, 513, 6404, 8105, 7154, 609, 6666, 7031, 971, 607, 12285, 543, 20397, 269, 23081, 10394, 568, 7363, 6738, 676, 1507, 6705, 543, 789, 4734, 519, 3484, 1688, 335, 17673, 543, 1287, 16487, 538, 7047, 338, 563, 2691, 519, 23342, 10301, 519, 12051, 267, 621, 568, 2666, 543, 32314, 1310, 887, 8463, 269, 4495, 602, 568, 2944, 267, 789, 616, 4389, 547, 513, 13594, 267, 799, 568, 1634, 607, 10217, 4508, 528, 269, 901, 568, 4553, 676, 513, 3126, 540, 10296, 267, 12902, 267, 4946, 14836, 543, 18615, 8022, 543, 9023, 269, 4495, 782, 713, 568, 2944, 267, 621, 5012, 547, 519, 5250, 540, 10217, 21360, 563, 14549, 5198, 814, 7550, 519, 946, 540, 669, 4377, 919, 2094, 519, 10120, 2053, 269, 1656, 621, 3459, 538, 3162, 3013, 269, 2991, 602, 267, 1004, 782, 936, 519, 1158, 723, 1031, 669, 4377, 919, 689, 27955, 3676, 267, 547, 24886, 10971, 267, 585, 2648, 267, 585, 14812, 267, 547, 7639, 3728, 338, 267, 547, 20758, 1055, 20715, 7786, 543, 1085, 23705, 687, 543, 547, 10516, 741, 6068, 3283, 563, 290, 665, 10394, 2872, 2221, 568, 1360, 2462, 543, 827, 476, 2004, 2929, 1004, 616, 6964, 1934, 269, 1452, 1331, 782, 12204, 540, 1004, 689, 6705, 547, 4600, 547, 22730, 543, 536, 5474, 563, 763, 10217, 3046, 568, 10143, 547, 6492, 1317, 540, 519, 1259, 621, 16919, 543, 1287, 2220, 597, 3149, 543, 5283, 1206, 538, 707, 5023, 269, 28688, 24025, 609, 811, 982, 1079, 8536, 7657, 2293, 689, 11993, 547, 29877, 547, 24453, 543, 609, 1225, 7847, 269, 1924, 602, 2488, 513, 2647, 17198, 585, 1585, 10346, 563, 288, 3046, 540, 669, 4377, 919, 685, 2571, 1745, 543, 922, 855, 6670, 1310, 6492, 849, 2306, 621, 513, 3364, 547, 7287, 585, 1586, 543, 1586, 269, 1403, 596, 2972, 10217, 267, 596, 1131, 2972, 513, 2603, 540, 824, 4672, 1212, 4461, 543, 24301, 602, 723, 621, 607, 741, 1292, 12146, 563, 2691, 512, 8463, 513, 3046, 540, 10217, 602, 3947, 513, 10143, 4743, 950, 621, 4422, 1524, 707, 11563, 267, 621, 568, 2182, 547, 3494, 602, 782, 602, 3459, 689, 513, 3529, 269, 0, 1692, 547, 946, 5616, 2645, 538, 5741, 15369, 4804, 454, 2691, 596, 1589, 827, 930, 540, 519, 1883, 2934, 540, 5741, 15369, 4804, 630, 303, 13993, 1070, 1018, 798, 596, 1589, 540, 286, 623, 13993, 1058, 581, 2875, 12454, 267, 609, 513, 1483, 8996, 4276, 269, 898, 1058, 581, 4295, 547, 1565, 267, 1331, 11295, 5698, 267, 543, 723, 513, 15491, 4879, 269, 29179, 1053, 513, 1483, 1966, 547, 4194, 267, 3478, 873, 7722, 538, 741, 960, 267, 2348, 873, 960, 609, 1866, 267, 543, 12570, 741, 960, 609, 811, 982, 1175, 513, 3446, 4992, 513, 2603, 899, 875, 1082, 1919, 538, 519, 2048, 9418, 1158, 685, 960, 267, 3085, 1406, 621, 286, 2991, 782, 267, 5749, 1406, 649, 3843, 547, 5965, 1053, 585, 519, 1158, 1310, 1153, 286, 3509, 540, 519, 10509, 2645, 1031, 538, 13460, 616, 1500, 2523, 585, 13460, 269, 5616, 2645, 543, 1788, 1759, 1565, 12020, 281, 7316, 798, 596, 1376, 950, 14045, 593, 513, 1788, 707, 1053, 786, 6108, 1713, 942, 593, 267, 723, 930, 2161, 538, 267, 602, 786, 2232, 513, 1297, 540, 1565, 3853, 543, 581, 6209, 543, 4143, 286, 769, 11431, 281, 4495, 596, 4076, 4956, 1018, 519, 1053, 786, 581, 2519, 593, 267, 789, 3580, 991, 811, 1344, 593, 519, 1888, 563, 16665, 281, 623, 13993, 586, 9474, 303, 454, 1892, 5741, 9122, 4804, 454, 1892, 623, 13993, 476, 273, 454, 1892, 623, 13993, 6092, 0, 5495, 303, 630, 1001, 278, 264, 554, 11486, 476, 277, 3066, 653, 11278, 10219, 630, 25835, 476, 7818, 25171, 4817, 278, 276, 5325, 274, 994, 3080, 540, 519, 1034, 11495, 543, 11972, 2853, 540, 3400, 324, 1723, 7304, 2674, 25196, 729, 519, 3134, 15572, 673, 4356, 267, 602, 568, 267, 519, 12402, 540, 4357, 2043, 267, 12205, 543, 2950, 547, 1118, 946, 540, 6149, 543, 4496, 1202, 18587, 547, 2594, 741, 8852, 543, 547, 2099, 741, 2238, 543, 6228, 269, 2368, 540, 891, 1202, 18587, 2611, 538, 2198, 855, 513, 1279, 1686, 540, 4015, 630, 663, 726, 8974, 264, 1797, 602, 1082, 723, 1044, 6410, 547, 15882, 2066, 2342, 543, 3345, 3013, 267, 1141, 513, 29341, 12102, 616, 593, 1857, 4159, 269, 630, 288, 7415, 4015, 6818, 538, 519, 9210, 15572, 673, 7467, 538, 3844, 18603, 267, 799, 568, 6131, 547, 5259, 1202, 18587, 1916, 5804, 519, 2038, 2413, 1974, 267, 3504, 5259, 1202, 18587, 723, 1044, 3370, 538, 23939, 1790, 22004, 267, 20380, 267, 7199, 21820, 1510, 8144, 543, 609, 7778, 538, 5824, 269, 8616, 2094, 519, 3735, 13524, 2540, 267, 4911, 331, 25869, 5640, 723, 3370, 25926, 540, 1202, 18587, 630, 17141, 11280, 607, 2048, 23208, 769, 27771, 687, 32426, 609, 6085, 2456, 799, 2832, 547, 1118, 873, 3015, 547, 513, 9962, 5304, 543, 538, 1880, 1346, 945, 616, 5461, 538, 741, 10409, 543, 3140, 4644, 563, 305, 327, 3941, 543, 14642, 13871, 779, 5542, 267, 13886, 5259, 8466, 769, 27771, 687, 476, 29024, 268, 26825, 7460, 32372, 4629, 1070, 13264, 1007, 2666, 538, 476, 1220, 274, 676, 13629, 2296, 16627, 540, 1202, 18587, 7258, 519, 5259, 5931, 543, 6085, 2456, 269, 634, 1699, 4320, 32372, 3036, 264, 5205, 519, 1482, 4806, 282, 23622, 593, 1202, 18587, 540, 519, 1974, 476, 275, 4281, 268, 29024, 7460, 267, 621, 30283, 519, 8106, 13980, 540, 2725, 580, 7714, 543, 11066, 685, 8466, 769, 27771, 687, 547, 519, 7736, 540, 519, 25004, 11416, 7460, 32372, 7876, 5148, 538, 741, 2776, 2183, 519, 15769, 5815, 602, 1776, 4320, 267, 6131, 547, 519, 2895, 24191, 1974, 267, 786, 1246, 267, 547, 5372, 519, 4505, 6810, 540, 16066, 563, 763, 4367, 547, 713, 4320, 2488, 606, 5140, 4367, 547, 519, 7613, 540, 3134, 15572, 673, 8313, 543, 922, 1353, 269, 26346, 6085, 2456, 1747, 519, 1202, 18587, 538, 741, 3140, 543, 2686, 2796, 543, 2709, 606, 909, 3562, 15082, 7650, 540, 14046, 27900, 269, 9717, 602, 1896, 1271, 23723, 1014, 6054, 5892, 8655, 547, 519, 4571, 268, 276, 628, 595, 593, 519, 4493, 540, 4484, 3029, 723, 1631, 1044, 1524, 1673, 730, 676, 1079, 610, 811, 5756, 630, 628, 3471, 547, 519, 960, 540, 29733, 4223, 1154, 569, 543, 1866, 1070, 891, 6085, 2456, 616, 1898, 2542, 585, 3610, 540, 519, 11359, 10601, 4559, 538, 744, 10135, 779, 589, 30071, 767, 9147, 3778, 630, 5408, 16555, 593, 1100, 269, 476, 14917, 264, 543, 585, 4896, 3116, 609, 606, 1719, 538, 519, 8106, 2085, 540, 5259, 3778, 269, 901, 1433, 267, 1287, 267, 786, 581, 606, 1271, 1007, 11601, 585, 1346, 1153, 8021, 799, 723, 519, 2200, 547, 6718, 621, 630, 534, 552, 26247, 4528, 568, 4397, 538, 1813, 1576, 1916, 288, 1492, 985, 32737, 519, 2749, 609, 519, 1034, 30508, 1857, 3134, 15572, 673, 4356, 538, 519, 11359, 2540, 7460, 28934, 8167, 2299, 1134, 3146, 335, 18677, 538, 519, 4015, 267, 2523, 676, 27485, 3526, 525, 540, 922, 10198, 282, 855, 1202, 18587, 3541, 1516, 689, 824, 18013, 609, 1713, 3134, 15572, 673, 12326, 267, 971, 607, 1975, 21840, 630, 333, 657, 269, 476, 12208, 267, 476, 12553, 267, 476, 14681, 267, 476, 4572, 1070, 774, 553, 657, 630, 9818, 268, 275, 267, 476, 12293, 268, 278, 264, 543, 14803, 657, 630, 9340, 267, 476, 14695, 267, 476, 13679, 264, 3138, 558, 1804, 282, 7254, 9822, 2456, 799, 941, 519, 23700, 540, 4142, 10716, 2408, 4749, 1932, 630, 302, 9805, 807, 281, 476, 10755, 267, 476, 12208, 267, 476, 9610, 267, 476, 13932, 282, 5548, 12978, 281, 476, 14138, 267, 476, 15946, 267, 476, 4572, 1040, 10815, 1134, 8153, 2694, 540, 519, 5259, 1158, 616, 849, 6719, 281, 519, 19636, 15224, 585, 519, 10370, 857, 534, 30552, 770, 717, 1120, 529, 24283, 689, 2473, 13183, 657, 538, 17335, 5607, 19724, 630, 4350, 994, 3080, 540, 519, 1034, 3078, 1919, 827, 2542, 713, 4015, 568, 1483, 2358, 875, 1202, 18587, 6318, 513, 5458, 2039, 540, 2055, 827, 8106, 5259, 2528, 267, 1686, 543, 1893, 269, 634, 10723, 1876, 689, 17286, 19434, 538, 24558, 1176, 630, 12893, 1070, 585, 3236, 267, 5638, 5528, 827, 24279, 547, 1346, 2404, 609, 519, 2126, 540, 519, 4666, 282, 621, 10741, 909, 5380, 593, 519, 2078, 1063, 519, 10971, 543, 824, 16750, 7060, 269, 769, 30533, 539, 6589, 540, 7254, 9822, 2456, 630, 16328, 267, 476, 15704, 267, 476, 8182, 264, 6542, 519, 4644, 540, 2883, 2359, 547, 519, 11454, 7245, 543, 519, 9962, 2804, 1909, 540, 7254, 9822, 2456, 269, 634, 16199, 545, 7568, 28045, 1876, 593, 31713, 3959, 5267, 602, 519, 594, 4577, 9904, 543, 13172, 941, 1031, 538, 4173, 617, 582, 639, 685, 1753, 2749, 267, 1256, 1498, 621, 729, 3622, 9833, 607, 513, 667, 7595, 11175, 630, 15171, 1040, 769, 27771, 687, 2709, 4244, 5380, 593, 11359, 10601, 23723, 1014, 1379, 281, 1946, 941, 519, 23723, 2103, 865, 5461, 538, 2961, 12949, 1014, 2166, 12304, 2914, 797, 630, 15793, 21663, 1656, 1946, 1705, 789, 2154, 741, 16167, 547, 4142, 6510, 1101, 1922, 21209, 693, 18479, 639, 529, 630, 15221, 21663, 1548, 1281, 519, 2048, 18184, 1841, 685, 31885, 630, 14028, 264, 2995, 721, 827, 519, 1377, 543, 1106, 540, 23723, 1014, 6304, 286, 1284, 1205, 513, 2070, 540, 5095, 5258, 936, 519, 2243, 540, 14336, 4800, 609, 519, 23723, 2103, 630, 13199, 267, 476, 10082, 1070, 875, 519, 23723, 2103, 30039, 1202, 11107, 538, 741, 24027, 4872, 630, 7277, 264, 543, 519, 2081, 538, 799, 930, 2950, 9976, 19802, 689, 519, 23723, 2103, 630, 11260, 1916, 303, 29176, 568, 267, 540, 1576, 267, 606, 1271, 6249, 538, 713, 4015, 269, 1717, 267, 930, 540, 519, 2462, 4408, 540, 11359, 10601, 1686, 616, 17736, 545, 6681, 676, 741, 9000, 281, 519, 2012, 3131, 1731, 956, 5526, 1152, 2899, 538, 11359, 10601, 23723, 1014, 3526, 525, 630, 514, 513, 17468, 2796, 676, 4704, 547, 1010, 14930, 281, 30312, 594, 23326, 476, 5392, 264, 543, 602, 30115, 1281, 711, 2408, 538, 713, 4015, 282, 4277, 569, 267, 1325, 330, 756, 328, 3547, 5526, 7466, 607, 519, 3981, 518, 540, 21308, 630, 6977, 267, 476, 5908, 1916, 4263, 930, 2798, 1202, 18587, 1450, 721, 547, 1039, 547, 2984, 1634, 2907, 689, 519, 5339, 2959, 281, 476, 15094, 538, 713, 10070, 6645, 721, 1018, 5949, 547, 519, 3959, 540, 519, 19555, 758, 641, 573, 2967, 269, 476, 9692, 267, 519, 1178, 4034, 821, 540, 519, 23723, 1014, 17308, 612, 3733, 337, 9071, 710, 267, 5267, 2009, 7681, 609, 513, 2101, 1915, 538, 14163, 2684, 6951, 685, 700, 903, 626, 337, 1092, 269, 2311, 824, 2798, 5339, 5931, 616, 1271, 547, 519, 11808, 540, 23650, 776, 1202, 18587, 281, 476, 13679, 568, 17468, 593, 519, 4493, 540, 774, 1075, 11770, 1938, 685, 2272, 540, 519, 19710, 1063, 18603, 543, 519, 19994, 641, 517, 5886, 1014, 2829, 540, 476, 22213, 7460, 269, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 2467, 616, 5810, 602, 616, 711, 1152, 7839, 267, 855, 849, 5827, 267, 952, 711, 2953, 1022, 20924, 538, 513, 8768, 4677, 610, 4677, 267, 1287, 693, 2547, 3382, 909, 543, 24320, 1047, 28336, 2030, 902, 269, 2290, 540, 891, 568, 519, 1579, 5448, 630, 2193, 727, 264, 8768, 269, 6270, 513, 8748, 2030, 568, 4502, 3478, 547, 917, 1732, 563, 268, 13517, 540, 519, 1579, 5448, 2030, 454, 268, 7581, 5448, 538, 519, 4677, 454, 268, 31896, 543, 12391, 585, 15441, 454, 20373, 540, 519, 1579, 5448, 2030, 454, 290, 548, 5448, 568, 606, 5993, 610, 536, 1329, 333, 658, 10786, 17675, 610, 10859, 6879, 13041, 2030, 689, 519, 7581, 558, 19687, 1920, 267, 540, 519, 1931, 16410, 12237, 269, 634, 12593, 568, 3833, 3875, 267, 621, 2882, 811, 982, 476, 10204, 2249, 269, 1452, 5810, 1332, 3592, 10876, 912, 268, 538, 2342, 454, 268, 538, 3345, 4000, 454, 268, 538, 3013, 454, 290, 548, 727, 781, 11710, 616, 2786, 267, 2864, 3532, 267, 609, 2919, 4839, 4221, 538, 519, 5580, 851, 269, 634, 4463, 540, 519, 11710, 568, 909, 547, 476, 5611, 4699, 269, 2311, 519, 5377, 267, 519, 6565, 949, 723, 31429, 1881, 2127, 269, 27817, 267, 22534, 616, 4988, 609, 24827, 269, 634, 24827, 616, 14189, 983, 267, 20202, 269, 27817, 616, 4620, 2723, 622, 267, 14595, 267, 533, 4883, 622, 269, 589, 1769, 3039, 6978, 609, 2947, 267, 10355, 5722, 3762, 563, 763, 5810, 723, 1279, 26106, 802, 543, 2185, 24968, 269, 634, 5810, 616, 909, 547, 476, 274, 4699, 538, 8006, 269, 634, 24968, 616, 1034, 1419, 540, 782, 18707, 540, 11909, 267, 13711, 267, 596, 666, 1265, 15441, 609, 3043, 267, 561, 559, 659, 267, 13711, 610, 5835, 5810, 269, 26540, 616, 6394, 538, 10690, 13421, 269, 769, 1747, 540, 5810, 267, 513, 10540, 11057, 4829, 18009, 839, 910, 513, 4216, 909, 547, 476, 274, 4699, 538, 2450, 269, 3509, 2010, 540, 1579, 5448, 723, 5810, 602, 1413, 899, 20151, 269, 1280, 713, 16726, 538, 6576, 267, 519, 8768, 729, 3957, 17178, 563, 4517, 538, 4789, 267, 513, 2030, 568, 1572, 513, 15441, 910, 513, 17178, 10502, 1317, 540, 922, 5920, 267, 543, 711, 1317, 540, 922, 2392, 2218, 6208, 269, 901, 1826, 540, 1579, 727, 568, 2016, 676, 28608, 6094, 26176, 839, 269, 4107, 2249, 16036, 585, 513, 1360, 1279, 942, 269, 769, 15489, 267, 2394, 519, 1360, 15470, 267, 5810, 543, 22691, 5613, 666, 581, 4767, 593, 519, 2030, 693, 519, 1482, 942, 269, 769, 519, 3552, 267, 23153, 12202, 543, 538, 519, 30120, 540, 17260, 267, 596, 666, 1034, 1419, 1265, 519, 2010, 540, 713, 2030, 912, 268, 533, 4459, 569, 1579, 5448, 454, 268, 1579, 5448, 12457, 880, 454, 268, 6177, 20356, 539, 1579, 5448, 454, 2005, 568, 29810, 602, 12457, 880, 1579, 5448, 568, 1031, 538, 519, 24272, 22057, 1065, 28362, 923, 607, 513, 25970, 4005, 532, 609, 513, 28401, 8137, 269, 7581, 5448, 7718, 919, 519, 4677, 538, 1312, 2582, 543, 1895, 2030, 902, 269, 6733, 338, 1434, 1985, 547, 2479, 26572, 839, 269, 1411, 666, 2030, 519, 15441, 17401, 2614, 543, 621, 786, 1711, 513, 4282, 585, 824, 9207, 1242, 5810, 563, 290, 548, 5448, 814, 513, 1360, 16990, 10347, 9329, 267, 621, 24643, 1082, 3542, 3215, 7786, 267, 865, 10448, 15135, 666, 581, 5116, 1985, 547, 621, 269, 2368, 540, 519, 555, 1941, 1465, 540, 519, 2030, 568, 4625, 4988, 676, 922, 20498, 5920, 269, 6969, 9544, 519, 1579, 5448, 267, 596, 991, 547, 3442, 513, 5078, 1747, 585, 621, 563, 290, 548, 5448, 538, 519, 4677, 454, 763, 32529, 1281, 711, 2154, 2027, 4170, 585, 519, 3135, 540, 9544, 543, 6028, 519, 1579, 5448, 269, 634, 8768, 12851, 547, 1346, 2371, 602, 723, 1044, 12630, 543, 16618, 269, 7581, 5448, 786, 7618, 9887, 540, 9887, 609, 669, 545, 543, 8966, 5810, 269, 634, 1152, 3364, 547, 3314, 568, 602, 1579, 5448, 568, 12922, 540, 4411, 4365, 269, 634, 942, 585, 9544, 538, 519, 4677, 2501, 1310, 519, 3463, 540, 15470, 814, 5293, 563, 290, 548, 5448, 8768, 593, 3381, 267, 2070, 7650, 912, 763, 2030, 568, 1360, 3141, 2000, 8221, 543, 5687, 30858, 282, 621, 568, 1732, 547, 1747, 621, 538, 1134, 2000, 527, 4025, 269, 7581, 5448, 786, 1332, 538, 519, 12094, 267, 855, 1083, 13926, 7907, 786, 711, 581, 4628, 28955, 269, 634, 2030, 2115, 513, 3037, 609, 513, 9243, 5114, 267, 621, 666, 581, 5116, 593, 5594, 15755, 610, 5594, 22279, 11934, 609, 1434, 12775, 269, 634, 2030, 1281, 711, 20496, 1216, 8421, 3101, 543, 24715, 656, 1216, 269, 769, 14450, 267, 519, 1579, 5448, 695, 337, 3855, 538, 513, 3226, 3819, 4832, 563, 763, 1034, 2442, 2010, 540, 1579, 5448, 912, 268, 10348, 22269, 454, 268, 10348, 13711, 454, 268, 681, 9926, 2586, 1263, 514, 267, 11909, 5810, 454, 268, 27951, 25968, 918, 6686, 1087, 523, 267, 11909, 5810, 267, 1804, 454, 268, 13642, 8141, 2401, 267, 21221, 267, 5835, 454, 268, 24796, 918, 655, 4252, 267, 3043, 5810, 454, 268, 7822, 674, 517, 1555, 8696, 267, 24352, 565, 1819, 454, 2252, 519, 3099, 568, 6074, 267, 1287, 621, 3788, 1152, 547, 2030, 621, 7157, 563, 5522, 13589, 543, 12391, 585, 15441, 454, 290, 548, 5448, 9070, 919, 676, 5452, 269, 898, 666, 581, 6738, 912, 268, 998, 521, 12976, 19155, 454, 268, 521, 12976, 538, 519, 2666, 1354, 5162, 454, 268, 521, 12976, 538, 519, 2666, 538, 5614, 454, 1103, 1840, 267, 952, 972, 568, 2907, 513, 1579, 5448, 538, 519, 4677, 267, 621, 11148, 547, 1582, 5498, 5338, 269, 898, 3788, 1152, 538, 519, 5614, 547, 13003, 519, 19155, 547, 519, 1318, 1747, 269, 19663, 1579, 5448, 998, 19155, 568, 711, 1454, 1114, 689, 3395, 19155, 540, 824, 5993, 5810, 269, 590, 12976, 942, 568, 4728, 269, 16721, 1563, 10833, 616, 4904, 609, 3037, 269, 1411, 666, 1491, 4712, 13402, 23399, 585, 22648, 7031, 610, 3575, 707, 1378, 4677, 3037, 609, 5070, 543, 24435, 538, 3160, 2694, 563, 27770, 626, 523, 519, 3037, 543, 3262, 519, 5452, 1354, 9544, 269, 14109, 30257, 873, 609, 3618, 593, 1283, 609, 513, 4494, 540, 827, 476, 272, 4699, 543, 3382, 609, 4837, 269, 23268, 13530, 2408, 5631, 538, 1079, 4374, 269, 2991, 519, 11944, 540, 19155, 267, 12391, 585, 873, 568, 4389, 547, 14450, 543, 267, 952, 2556, 267, 547, 513, 4584, 269, 634, 19155, 616, 1098, 680, 5896, 547, 513, 8628, 1747, 538, 3735, 2904, 910, 2038, 4873, 563, 2005, 568, 1271, 547, 3314, 602, 519, 2030, 7109, 919, 13003, 532, 1134, 1152, 693, 519, 1360, 4098, 540, 922, 2208, 269, 4475, 267, 952, 519, 1579, 5448, 729, 711, 521, 1144, 538, 1367, 17428, 267, 1287, 519, 19155, 1058, 581, 546, 1882, 883, 5094, 11680, 865, 602, 519, 3597, 1062, 568, 711, 8697, 950, 1098, 680, 5896, 883, 1930, 2666, 563, 299, 21505, 538, 519, 2666, 454, 1103, 5614, 267, 5452, 616, 521, 1144, 538, 519, 5423, 3037, 538, 3735, 4989, 910, 2038, 2904, 267, 950, 519, 3037, 2112, 916, 909, 1134, 269, 2506, 5523, 3429, 538, 519, 2666, 909, 547, 476, 272, 269, 276, 4699, 269, 6969, 5162, 267, 521, 12976, 568, 5645, 856, 693, 519, 1439, 540, 5181, 910, 4571, 268, 19751, 267, 4470, 593, 519, 2916, 269, 2506, 5523, 3429, 538, 519, 2666, 547, 513, 3178, 540, 476, 273, 4699, 269, 2991, 32750, 538, 519, 2666, 267, 519, 5127, 568, 15273, 3481, 609, 513, 4494, 540, 1208, 639, 563, 5475, 519, 11944, 540, 19155, 267, 12391, 585, 1762, 2371, 568, 4389, 547, 9427, 18047, 543, 14450, 952, 2556, 563, 2005, 568, 1732, 547, 14462, 1447, 1419, 267, 855, 811, 10731, 569, 267, 3850, 519, 3037, 547, 3819, 856, 1063, 1216, 902, 269, 898, 568, 19624, 547, 21383, 835, 610, 1079, 2053, 609, 513, 3070, 540, 11379, 7989, 22462, 622, 585, 519, 6604, 540, 3676, 269, 2060, 1022, 1505, 540, 14713, 267, 3049, 519, 15441, 1282, 519, 15496, 1974, 609, 1950, 13226, 1169, 476, 1321, 910, 476, 1691, 2395, 269, 4634, 609, 8766, 1416, 267, 1579, 5448, 786, 10508, 519, 3750, 609, 922, 6264, 328, 846, 5810, 269, 0, 289, 9618, 520, 7356, 320, 5741, 568, 28020, 1634, 607, 3127, 781, 6095, 1633, 1788, 543, 568, 513, 31344, 958, 23032, 11036, 540, 519, 4095, 2229, 269, 7201, 519, 6090, 529, 540, 519, 12080, 540, 10003, 13255, 543, 4400, 1811, 267, 519, 32038, 520, 7356, 320, 1788, 568, 606, 22597, 1788, 547, 2087, 519, 2197, 781, 4155, 5989, 269, 898, 1131, 7449, 2541, 782, 519, 4540, 4155, 3785, 563, 763, 7882, 1054, 1788, 1131, 1683, 3127, 609, 476, 2004, 3084, 23725, 832, 267, 799, 1131, 1683, 1732, 6283, 585, 936, 476, 3583, 547, 476, 3199, 829, 1298, 540, 519, 19057, 267, 607, 10353, 547, 519, 1699, 476, 2412, 829, 1298, 269, 26094, 540, 519, 11344, 29105, 543, 519, 3345, 4149, 1926, 543, 5101, 8862, 652, 23725, 832, 616, 519, 1883, 989, 31789, 540, 519, 31344, 958, 23032, 1788, 563, 14611, 853, 820, 6868, 2986, 634, 5741, 454, 763, 2565, 8639, 585, 519, 32038, 520, 7356, 320, 1788, 616, 519, 2817, 4400, 1811, 4886, 5741, 630, 26822, 7894, 1070, 519, 12080, 540, 10003, 13255, 543, 4400, 1811, 267, 1744, 6235, 543, 4826, 8249, 267, 5211, 4886, 1299, 717, 18553, 1234, 27896, 566, 269, 634, 1788, 1131, 1445, 593, 26738, 7269, 267, 4070, 540, 8258, 268, 30030, 267, 21271, 525, 267, 17825, 11614, 543, 11506, 23725, 832, 585, 513, 5347, 3991, 7781, 3350, 269, 898, 568, 1305, 547, 1921, 476, 20862, 13102, 540, 519, 2197, 609, 2817, 4400, 1811, 267, 6466, 4867, 267, 1152, 476, 4968, 13102, 1106, 513, 851, 540, 519, 3084, 19814, 5547, 563, 763, 2229, 6663, 547, 1020, 1617, 574, 27567, 17825, 11614, 543, 9004, 1781, 651, 2798, 267, 547, 2087, 519, 4398, 540, 519, 4540, 23725, 832, 269, 634, 1788, 1131, 21592, 519, 5348, 25489, 998, 24654, 25825, 602, 519, 1646, 540, 519, 27040, 23725, 528, 1131, 1246, 563, 2690, 1022, 3384, 2197, 267, 519, 8298, 2524, 13437, 12039, 630, 10861, 296, 264, 9711, 607, 513, 25162, 532, 1907, 547, 2697, 519, 2591, 543, 3255, 538, 1899, 609, 519, 1788, 781, 5075, 269, 4475, 267, 519, 32038, 520, 7356, 320, 1788, 568, 3127, 781, 914, 585, 4824, 2773, 538, 519, 700, 18444, 269, 634, 1788, 568, 5258, 883, 5722, 11775, 1317, 540, 519, 22406, 9588, 540, 519, 4305, 269, 634, 1292, 8561, 568, 593, 4824, 2029, 543, 3621, 4058, 585, 10697, 5464, 543, 1788, 7041, 269, 634, 1101, 5123, 540, 519, 32038, 520, 7356, 320, 1788, 568, 4397, 547, 9959, 676, 476, 1708, 273, 563, 13707, 20099, 1280, 634, 3689, 18001, 454, 763, 2698, 3259, 540, 4155, 1646, 538, 519, 1101, 5123, 540, 519, 32038, 520, 7356, 320, 1788, 568, 476, 4097, 267, 8517, 21240, 269, 4934, 540, 519, 2698, 267, 519, 2804, 23725, 832, 1131, 17663, 519, 5021, 2671, 540, 476, 280, 267, 1822, 21240, 269, 634, 954, 2275, 528, 5090, 528, 543, 28680, 11507, 616, 7229, 693, 5176, 476, 277, 267, 1822, 5998, 267, 543, 476, 276, 267, 1822, 5998, 1131, 2887, 896, 519, 2817, 4856, 5090, 832, 21252, 5358, 269, 18766, 689, 519, 536, 604, 584, 322, 566, 607, 5018, 4505, 267, 519, 1788, 568, 849, 1305, 547, 1832, 11735, 827, 476, 273, 267, 1822, 5998, 585, 9381, 543, 2823, 14479, 9897, 269, 634, 2769, 3118, 540, 5176, 476, 8517, 5998, 543, 513, 7372, 476, 1015, 267, 1822, 5998, 1131, 2887, 896, 519, 19760, 7894, 9897, 563, 763, 1646, 540, 891, 28565, 568, 4397, 547, 2333, 519, 3328, 3432, 540, 519, 6472, 676, 476, 1240, 829, 1298, 543, 2569, 519, 5832, 1942, 540, 6283, 676, 513, 1713, 476, 277, 829, 1298, 269, 634, 5742, 22277, 1185, 21330, 547, 519, 1208, 784, 748, 3785, 543, 1185, 21248, 513, 2508, 540, 19238, 373, 277, 269, 10844, 32763, 5186, 516, 267, 856, 540, 799, 519, 32038, 520, 7356, 320, 623, 926, 14623, 329, 3570, 3838, 19238, 373, 276, 269, 3374, 32763, 5186, 516, 267, 634, 4095, 18124, 4080, 269, 634, 1788, 568, 4397, 547, 1683, 6634, 540, 7694, 3255, 269, 8307, 519, 4155, 4070, 5650, 729, 4397, 547, 556, 601, 856, 476, 1911, 2929, 1268, 1673, 904, 540, 960, 267, 1152, 547, 581, 4553, 676, 1776, 476, 2420, 2929, 6009, 1317, 540, 2799 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1346, 945, 616, 540, 6519, 267, 4563, 267, 610, 6404, 5198, 269, 15272, 945, 616, 540, 6404, 5198, 267, 723, 2362, 12918, 540, 15267, 946, 3379, 547, 6107, 945, 616, 6519, 269, 14579, 23899, 6107, 941, 849, 1447, 2693, 547, 946, 15267, 982, 5065, 23899, 6107, 538, 4516, 267, 4352, 713, 9775, 585, 1114, 17801, 528, 18432, 2516, 269, 20523, 1702, 540, 3309, 5095, 543, 519, 1950, 2188, 1644, 547, 17801, 528, 18432, 4282, 616, 2877, 547, 3589, 946, 540, 15267, 1851, 6107, 563, 1607, 3194, 10965, 2355, 14653, 5654, 693, 519, 2376, 267, 968, 20685, 24335, 18432, 3604, 538, 15267, 946, 1851, 5065, 268, 4535, 543, 4914, 23899, 1164, 1153, 1053, 538, 14411, 2223, 3370, 538, 519, 4750, 540, 23532, 640, 538, 28548, 18816, 538, 476, 1001, 279, 269, 3194, 10965, 2355, 32718, 616, 5618, 267, 2312, 1893, 24096, 540, 1382, 4930, 267, 4843, 538, 513, 3593, 7888, 3898, 563, 5649, 519, 3194, 10965, 2355, 14653, 2630, 610, 4647, 519, 7300, 563, 1432, 568, 713, 1382, 827, 888, 7212, 972, 568, 513, 2603, 540, 1382, 593, 6107, 543, 15267, 946, 267, 1034, 798, 711, 2015, 11776, 543, 17801, 528, 18432, 4282, 269, 8409, 2090, 602, 4983, 891, 2188, 4043, 547, 4125, 1507, 1895, 5439, 602, 798, 711, 2992, 14411, 779, 3309, 2551, 269, 1280, 891, 4128, 267, 621, 568, 1271, 547, 8415, 1804, 5439, 547, 4983, 2436, 891, 2516, 723, 1114, 1072, 1981, 19326, 267, 547, 1217, 519, 1646, 540, 2500, 543, 6098, 6604, 3646, 563, 1103, 713, 1353, 267, 14411, 3173, 6743, 693, 2436, 14411, 1164, 1153, 1053, 685, 946, 540, 15267, 4268, 676, 741, 17801, 528, 18432, 4282, 543, 2436, 789, 616, 4914, 23899, 610, 5065, 23899, 563, 1432, 1705, 519, 3173, 798, 888, 763, 3173, 1031, 1239, 689, 519, 14411, 9906, 10684, 2422, 543, 2657, 5619, 630, 5308, 291, 308, 9391, 1070, 513, 3444, 22891, 5619, 602, 814, 3144, 1747, 1169, 1079, 1296, 2094, 476, 3192, 278, 563, 2005, 568, 513, 11347, 543, 11662, 17253, 5619, 540, 1053, 538, 24110, 476, 278, 998, 476, 1321, 538, 15597, 30845, 3506, 602, 12116, 6219, 946, 267, 13989, 267, 32592, 550, 7180, 267, 543, 2790, 543, 2168, 1072, 269, 1280, 713, 1353, 267, 519, 3173, 1031, 1239, 689, 519, 476, 1001, 272, 543, 476, 1001, 274, 5619, 543, 1152, 6743, 693, 1053, 538, 24110, 476, 280, 268, 1321, 563, 1432, 1705, 519, 3173, 1265, 888, 10743, 540, 3162, 7489, 610, 5101, 13478, 11322, 7489, 10080, 1185, 2539, 12918, 540, 1210, 15267, 982, 1346, 540, 6519, 267, 4563, 267, 610, 6404, 5198, 630, 19669, 543, 1776, 17801, 528, 18432, 1895, 1040, 15272, 540, 6404, 5198, 1185, 2362, 12918, 540, 1210, 15267, 3379, 547, 6519, 6107, 269, 4563, 1053, 941, 711, 3648, 1114, 689, 6519, 267, 21337, 267, 543, 6404, 268, 15869, 1053, 538, 2474, 540, 15267, 946, 538, 519, 476, 1321, 3275, 1354, 789, 3576, 851, 538, 519, 5619, 269, 14579, 23899, 1053, 849, 1185, 2539, 12918, 540, 1210, 15267, 982, 1053, 4535, 538, 4516, 267, 855, 713, 849, 9867, 585, 930, 4914, 23899, 6107, 267, 4470, 593, 741, 17801, 528, 18432, 4282, 563, 1692, 666, 596, 946, 713, 1382, 888, 1607, 1353, 568, 3226, 1271, 538, 1769, 540, 519, 1699, 15267, 3656, 1436, 5251, 538, 4516, 269, 2052, 10109, 529, 568, 519, 1034, 4122, 1031, 28302, 3075, 1851, 6107, 538, 14411, 267, 543, 609, 519, 11662, 2348, 519, 5207, 8167, 540, 4914, 23899, 7264, 538, 519, 2197, 267, 621, 568, 1271, 547, 1174, 519, 2188, 602, 3589, 922, 946, 1851, 6107, 563, 21918, 14591, 543, 1985, 3268, 454, 763, 7687, 540, 713, 1353, 1331, 519, 3376, 11008, 3074, 540, 17801, 528, 18432, 10080, 8947, 269, 589, 3677, 3732, 2450, 1223, 1397, 811, 2143, 4205, 1063, 19366, 4567, 267, 17801, 528, 18432, 4282, 267, 543, 15267, 946, 269, 769, 1840, 267, 519, 5619, 5654, 1152, 693, 1053, 538, 15597, 30845, 3506, 267, 865, 621, 1281, 711, 1683, 513, 1413, 693, 15267, 946, 1851, 1053, 538, 4357, 543, 824, 2010, 540, 3506, 563, 10666, 519, 3173, 454, 295, 599, 2917, 589, 269, 16803, 272, 267, 13019, 13195, 328, 15083, 639, 340, 5174, 11391, 1695, 273, 267, 4911, 11253, 4425, 752, 274, 267, 7917, 28553, 275, 454, 272, 4659, 585, 10076, 2657, 8889, 3194, 267, 10418, 585, 24251, 543, 10076, 2657, 630, 290, 4456, 295, 5148, 667, 718, 320, 700, 3570, 3427, 540, 5398, 2657, 267, 2160, 540, 17842, 630, 308, 540, 570, 994, 273, 4972, 540, 24205, 267, 2160, 540, 17842, 267, 17842, 454, 274, 4659, 585, 10076, 2657, 8889, 3194, 267, 595, 4456, 295, 267, 17842, 454, 275, 4659, 585, 10076, 2657, 8889, 3194, 267, 595, 4456, 295, 282, 667, 718, 320, 700, 3570, 3427, 540, 5398, 2657, 267, 772, 540, 570, 454, 1607, 3194, 10965, 2355, 14653, 568, 1759, 593, 519, 2376, 267, 968, 20685, 24335, 18432, 3604, 538, 15267, 946, 1851, 5065, 23899, 543, 4914, 23899, 1164, 1153, 1053, 538, 14411, 2223, 3370, 538, 519, 4750, 540, 23532, 640, 538, 28548, 18816, 267, 476, 1001, 279, 267, 476, 1704, 263, 273, 2567, 11277, 268, 16328, 563, 3849, 3421, 30105, 267, 15267, 946, 267, 14940, 267, 19366, 4567, 267, 5198, 267, 6107, 0, 8794, 3619, 2414, 9751, 547, 11120, 4106, 622, 4804, 454, 8702, 547, 519, 1576, 256, 1403, 596, 2811, 1934, 267, 596, 2811, 5461, 538, 1565, 875, 3619, 2414, 20051, 666, 4324, 596, 538, 707, 6030, 267, 607, 1134, 607, 875, 946, 922, 2934, 547, 3986, 543, 2708, 707, 6030, 563, 8923, 1745, 1863, 547, 512, 11548, 707, 4555, 2429, 519, 1362, 10467, 267, 610, 952, 596, 2097, 2066, 4376, 4143, 547, 1362, 1282, 707, 1554, 269, 1280, 713, 1362, 267, 649, 3513, 946, 519, 814, 6255, 698, 1948, 7883, 2414, 11764, 1067, 1001, 274, 454, 1607, 786, 1293, 2509, 707, 7589, 267, 543, 594, 786, 849, 581, 1210, 713, 607, 606, 6268, 1907, 585, 519, 1362, 3294, 563, 268, 2608, 1280, 707, 1101, 512, 11548, 267, 5225, 1577, 803, 917, 707, 2012, 267, 543, 4766, 3054, 609, 519, 6967, 3197, 269, 2142, 3860, 543, 3314, 547, 814, 6255, 698, 2336, 3528, 519, 1439, 540, 713, 1576, 596, 786, 581, 2111, 547, 912, 268, 10576, 519, 2640, 540, 1210, 3619, 2414, 9751, 547, 5721, 689, 513, 3845, 454, 268, 5590, 909, 543, 1685, 513, 2866, 1210, 3619, 2414, 9751, 454, 289, 919, 267, 589, 15030, 269, 630, 1220, 276, 1040, 29922, 543, 1210, 4066, 538, 3845, 2069, 563, 294, 28207, 267, 667, 10611, 1421, 18722, 267, 570, 1421, 1488, 7815, 267, 654, 269, 630, 1220, 271, 1040, 11879, 769, 11431, 538, 513, 7956, 15369, 5113, 281, 8950, 4762, 17182, 538, 14451, 4065, 269, 634, 5769, 543, 14451, 2069, 476, 273, 263, 273, 268, 274, 2567, 9262, 268, 10755, 269, 0, 1516, 609, 20384, 912, 310, 11510, 616, 21183, 543, 3622, 2057, 3425, 269, 4107, 1004, 786, 2760, 1294, 513, 18896, 267, 1577, 4805, 723, 513, 4655, 609, 835, 269, 654, 11510, 454, 4754, 267, 2705, 267, 6336, 741, 4250, 540, 3425, 998, 454, 4725, 527, 6672, 543, 949, 1935, 22742, 2127, 267, 5321, 454, 528, 3425, 269, 1879, 713, 4523, 267, 972, 568, 606, 2799, 454, 335, 1601, 2225, 585, 4655, 1063, 20384, 543, 3425, 563, 19350, 616, 4808, 602, 596, 666, 1246, 547, 6175, 454, 1492, 4960, 540, 18896, 4356, 6672, 543, 4655, 1247, 454, 331, 1516, 543, 9683, 18896, 2197, 563, 299, 4353, 5058, 5442, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 1892, 1684, 711, 3049, 20384, 563, 1892, 16376, 782, 10130, 16280, 282, 4734, 1100, 1426, 13964, 563, 1892, 2598, 2821, 540, 782, 1426, 543, 20203, 538, 23691, 609, 454, 1892, 1684, 711, 3049, 7320, 281, 19788, 1022, 10352, 3662, 454, 16673, 4482, 20384, 563, 1892, 670, 836, 647, 564, 29650, 693, 2547, 5722, 3952, 1657, 519, 454, 338, 16577, 540, 519, 2666, 610, 6777, 563, 1892, 5213, 1406, 4734, 10130, 796, 3430, 2105, 3544, 281, 5243, 543, 454, 322, 1846, 616, 2653, 9072, 585, 20384, 563, 1892, 1403, 10130, 1590, 581, 796, 3430, 2105, 538, 519, 13452, 267, 1832, 873, 454, 514, 513, 737, 3317, 601, 609, 513, 5150, 1283, 563, 1892, 12305, 5163, 9300, 8279, 267, 607, 789, 949, 948, 454, 18141, 20384, 2476, 563, 6938, 3041, 5058, 700, 4353, 12239, 8016, 298, 5442, 654, 5357, 293, 454, 763, 2160, 540, 16506, 5342, 513, 1353, 538, 454, 22022, 476, 1960, 280, 547, 3313, 952, 1022, 13184, 2359, 454, 335, 847, 1182, 1223, 2061, 18896, 1244, 1042, 566, 269, 634, 1353, 454, 322, 746, 1265, 1100, 2359, 2853, 1978, 547, 2061, 454, 342, 6504, 1244, 1042, 566, 269, 634, 1152, 1505, 8810, 547, 2061, 454, 342, 6504, 1244, 1042, 566, 729, 9427, 519, 1244, 1042, 908, 454, 342, 11510, 689, 519, 3484, 269, 1717, 267, 6705, 543, 678, 4545, 1667, 454, 17647, 4080, 513, 1906, 2853, 602, 949, 948, 538, 930, 454, 322, 1162, 269, 1452, 1331, 912, 1892, 24367, 2635, 267, 1134, 1922, 539, 2831, 269, 654, 11510, 454, 20200, 1227, 2824, 519, 4617, 652, 543, 15864, 10352, 563, 30144, 2831, 616, 811, 2352, 547, 1491, 269, 8844, 454, 331, 877, 610, 7210, 2831, 547, 513, 2922, 1858, 950, 2009, 563, 1892, 4635, 9856, 2831, 269, 4014, 711, 2141, 454, 324, 8997, 267, 519, 4527, 540, 9856, 5243, 666, 581, 513, 454, 323, 2678, 1370, 269, 1879, 1210, 9856, 5243, 1996, 20384, 621, 454, 529, 1271, 547, 946, 1896, 5243, 267, 607, 20384, 949, 6146, 454, 320, 2582, 3662, 269, 25021, 543, 19597, 908, 13265, 2676, 553, 568, 2944, 538, 24364, 21737, 267, 666, 948, 9856, 5243, 454, 2041, 811, 2500, 269, 5901, 538, 2247, 267, 2705, 267, 602, 454, 8527, 1049, 21737, 568, 1447, 5078, 1282, 23758, 532, 454, 553, 621, 949, 7519, 519, 6125, 1063, 3993, 543, 454, 1892, 25021, 1608, 1324, 610, 23758, 532, 2238, 6251, 547, 519, 454, 8663, 5500, 731, 269, 1715, 26978, 616, 2653, 10352, 269, 2368, 6705, 454, 332, 913, 1608, 1324, 610, 23758, 532, 6251, 547, 519, 3046, 5500, 731, 454, 20357, 621, 2636, 585, 811, 7928, 5464, 563, 1892, 6182, 1218, 547, 2936, 3800, 547, 2569, 18896, 8894, 331, 12083, 7526, 616, 2139, 689, 519, 631, 6395, 563, 1892, 1280, 811, 1344, 267, 3643, 4179, 2517, 4178, 6230, 6767, 563, 299, 9669, 585, 9319, 7526, 454, 310, 2969, 6224, 5058, 654, 5357, 309, 2464, 5442, 654, 5357, 293, 454, 4407, 7487, 513, 18896, 568, 513, 12300, 1995, 267, 899, 454, 1415, 824, 3552, 3662, 267, 596, 1058, 946, 13657, 950, 454, 16269, 616, 2673, 269, 5901, 519, 1739, 1919, 538, 2247, 454, 6112, 596, 616, 13156, 873, 912, 1892, 1684, 711, 3049, 20384, 563, 1892, 1684, 711, 1303, 823, 20384, 547, 2097, 6251, 563, 1892, 1684, 711, 1935, 20384, 563, 1892, 23680, 4055, 585, 513, 18896, 547, 9101, 563, 1892, 1684, 711, 1450, 513, 18896, 547, 1935, 1022, 6251, 982, 454, 290, 21283, 5058, 5442, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 1892, 13648, 267, 11547, 8286, 543, 4558, 1426, 2476, 689, 454, 1892, 13268, 856, 610, 26565, 540, 20203, 543, 31629, 1426, 454, 1892, 12246, 12323, 1426, 267, 16003, 1845, 543, 20203, 856, 540, 3914, 454, 1993, 1022, 7320, 563, 1892, 5901, 10130, 2282, 596, 693, 782, 2053, 563, 8980, 16165, 8577, 25893, 10758, 30264, 2752, 299, 8577, 654, 5357, 309, 2464, 454, 2562, 654, 5357, 293, 2910, 7419, 15045, 312, 454, 2252, 513, 18896, 6411, 26490, 1947, 630, 326, 992, 3149, 610, 2879, 541, 3149, 264, 610, 454, 325, 792, 8393, 630, 1952, 30294, 3425, 693, 513, 2673, 3845, 454, 23719, 4250, 264, 1491, 519, 1739, 3527, 912, 1892, 14780, 1047, 707, 7916, 543, 5951, 873, 538, 519, 2011, 547, 1118, 454, 20365, 1345, 1413, 3677, 563, 1892, 7982, 2476, 7444, 282, 798, 711, 2490, 707, 1394, 593, 519, 454, 1892, 5269, 6846, 543, 12235, 3615, 693, 519, 18896, 563, 27775, 2105, 676, 7460, 20088, 267, 3703, 12052, 267, 4516, 454, 3918, 3201, 14510, 5508, 654, 5357, 293, 11083, 307, 3722, 16775, 5442, 454, 2005, 568, 1271, 547, 1832, 18896, 6285, 538, 5133, 563, 7197, 20384, 616, 711, 5906, 547, 3425, 543, 454, 11004, 568, 513, 6067, 513, 614, 4960, 540, 1373, 7166, 676, 17500, 2676, 23331, 29097, 610, 1286, 16580, 609, 513, 13650, 982, 1373, 454, 514, 329, 3293, 676, 513, 18896, 269, 634, 7063, 602, 723, 7018, 454, 26200, 3361, 676, 513, 1906, 20384, 602, 2968, 4250, 1652, 540, 454, 21065, 753, 1813, 547, 4356 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 825, 1412, 3724, 17569, 262, 2433, 18358, 343, 2643, 25869, 12887, 323, 16925, 3299, 1412, 5523, 2651, 12887, 30103, 3138, 2378, 11172, 2676, 825, 1412, 335, 12714, 262, 2433, 9131, 572, 553, 17850, 12887, 1598, 1052, 10874, 787, 12887, 331, 842, 23300, 8931, 10926, 258, 17006, 513, 1883, 1412, 10767, 331, 777, 9126, 262, 543, 26471, 513, 1592, 547, 621, 454, 514, 1203, 800, 9131, 10767, 331, 777, 9126, 11172, 815, 18358, 20625, 3299, 1412, 20791, 6299, 344, 3299, 1412, 22764, 3562, 539, 1793, 1054, 262, 6540, 258, 590, 15659, 519, 1592, 1336, 896, 519, 1883, 1412, 335, 13224, 7055, 514, 1203, 800, 9131, 335, 13224, 262, 4940, 338, 677, 3890, 8528, 258, 2659, 3009, 1934, 454, 514, 1203, 800, 9131, 3724, 17569, 262, 4940, 338, 677, 4590, 514, 1203, 800, 9131, 3724, 17569, 262, 4940, 24525, 3488, 323, 16925, 17210, 514, 1203, 800, 9131, 326, 1245, 11172, 6834, 476, 2004, 454, 0, 258, 4517, 344, 16399, 781, 26271, 18527, 18873, 1477, 258, 17780, 593, 7812, 5576, 549, 25005, 781, 3898, 5897, 5814, 1770, 11687, 1477, 5814, 4351, 1477, 5228, 3525, 2737, 10611, 1049, 1104, 21929, 5897, 5035, 25109, 307, 3949, 263, 684, 8636, 652, 11053, 652, 19111, 8029, 4848, 1477, 22592, 1449, 306, 877, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 313, 3266, 13528, 518, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 271, 267, 272, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 271, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 453, 1477, 453, 258, 1219, 1449, 313, 3266, 299, 2660, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 271, 267, 272, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 271, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 2662, 1961, 10831, 3080, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 263, 277, 267, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 280, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 293, 3555, 4415, 10521, 27078, 2510, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 16427, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 1321, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 19677, 27863, 263, 280, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 1321, 267, 1587, 6155, 3418, 453, 1477, 22592, 1449, 293, 3555, 27078, 894, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 267, 277, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 280, 267, 1321, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 296, 993, 711, 2386, 952, 1587, 8542, 610, 1587, 6155, 6585, 519, 2942, 1871, 540, 519, 4611, 6824, 1477, 4848, 453, 258, 1729, 8396, 713, 267, 594, 2638, 952, 519, 4611, 6824, 568, 2942, 267, 1287, 2638, 519, 6207, 1871, 540, 519, 2338, 1477, 453, 453, 9418, 29410, 815, 1587, 8542, 1315, 1587, 6155, 1477, 453, 19677, 27863, 263, 9418, 29410, 283, 271, 267, 3020, 3418, 453, 19677, 27863, 263, 11274, 263, 274, 1070, 1587, 8542, 3418, 453, 19677, 27863, 263, 11274, 263, 275, 1070, 1587, 6155, 3418, 4848, 1477, 22592, 1449, 27078, 894, 291, 523, 7631, 1807, 4311, 8029, 453, 453, 325, 3555, 272, 815, 21929, 8987, 277, 267, 272, 3418, 453, 453, 325, 3555, 273, 815, 21929, 263, 272, 267, 272, 3418, 453, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 300, 1389, 2386, 602, 519, 2942, 568, 538, 519, 19362, 267, 607, 8815, 2390, 593, 4924, 269, 476, 1704, 628, 267, 476, 1001, 280, 267, 693, 476, 277, 281, 1789, 10975, 1477, 453, 19677, 20596, 8253, 22949, 263, 277, 267, 1587, 8542, 3418, 453, 19677, 20596, 8253, 22949, 8987, 272, 267, 1587, 6155, 3418, 453, 19677, 27863, 8987, 277, 267, 1587, 8542, 3418, 453, 19677, 27863, 263, 272, 267, 1587, 6155, 3418, 453, 1477, 22592, 1449, 305, 24655, 4311, 8029, 453, 453, 258, 300, 697, 2014, 2042, 952, 596, 1810, 1405, 917, 1018, 519, 4351, 2338, 616, 1862, 1477, 453, 22610, 1535, 538, 2039, 263, 271, 267, 736, 8029, 4848, 453, 9008, 272, 815, 4351, 27110, 8987, 1911, 1822, 271, 267, 1911, 1822, 271, 3418, 4848, 453, 15318, 272, 815, 4351, 27110, 263, 272, 267, 1911, 1822, 271, 3418, 4848, 453, 9008, 273, 815, 4351, 27110, 8987, 1911, 1822, 271, 267, 1911, 1822, 271, 3418, 4848, 453, 15318, 273, 815, 4351, 27110, 263, 272, 267, 1911, 1822, 271, 3418, 4848, 453, 325, 3555, 272, 815, 21929, 6025, 641, 272, 267, 7762, 272, 3418, 4848, 453, 325, 3555, 273, 815, 21929, 6025, 641, 273, 267, 7762, 273, 3418, 4848, 453, 28237, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 4848, 19677, 27863, 6025, 641, 272, 265, 9008, 273, 267, 1587, 8542, 3418, 4848, 19677, 27863, 6357, 582, 272, 265, 15318, 273, 267, 1587, 6155, 3418, 24541, 453, 258, 1219, 1449, 299, 24147, 13528, 518, 293, 3555, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 1015, 267, 276, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 272, 267, 273, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 1015, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 1015, 267, 1587, 6155, 3418, 4848, 1477, 453, 258, 1219, 1449, 299, 24147, 299, 2660, 293, 3555, 4311, 8029, 453, 453, 258, 6824, 272, 815, 21929, 263, 272, 267, 274, 3418, 453, 453, 258, 6824, 273, 815, 21929, 263, 275, 267, 273, 3418, 453, 453, 258, 1587, 815, 6824, 272, 14857, 332, 592, 9191, 325, 3555, 273, 3418, 453, 453, 258, 1582, 27863, 263, 275, 267, 1587, 8542, 3418, 453, 453, 258, 1582, 27863, 263, 277, 267, 1587, 6155, 3418 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2417, 267, 621, 568, 1898, 547, 3715, 2312, 8847, 540, 519, 2474, 1412, 18076, 14810, 262, 543, 1412, 1706, 534, 5436, 9814, 9538, 4340, 547, 5339, 16159, 21965, 30215, 267, 4683, 14810, 4016, 547, 1568, 1305, 5097, 538, 4207, 267, 1419, 4683, 5054, 267, 1141, 9589, 610, 16750, 4229, 30598, 7258, 29932, 3006, 6456, 689, 1765, 867, 2435, 1480, 1995, 630, 3719, 2401, 267, 476, 1220, 280, 1040, 1452, 2984, 4749, 6451, 2609, 6537, 689, 13299, 267, 18691, 267, 543, 1585, 9135, 5389, 630, 324, 3052, 1421, 16897, 267, 2257, 5708, 1070, 4611, 538, 3638, 569, 30305, 6386, 602, 4161, 6671, 24300, 540, 4641, 543, 3961, 780, 13640, 534, 5436, 9814, 267, 676, 4334, 267, 11148, 547, 11168, 519, 19792, 2460, 540, 971, 8941, 267, 10023, 23233, 25461, 609, 6061, 10963, 610, 26500, 11580, 1644, 547, 519, 4527, 540, 1875, 16058, 9988, 1369, 741, 10600, 269, 1306, 10404, 14529, 3121, 700, 269, 28418, 4967, 267, 891, 6386, 3335, 15666, 547, 3964, 14908, 2404, 609, 2757, 627, 617, 22780, 12043, 267, 23344, 29689, 609, 28531, 2609, 602, 4463, 523, 24457, 543, 15052, 18572, 630, 24841, 338, 267, 476, 1220, 275, 1040, 1635, 9256, 2609, 540, 1312, 4683, 14810, 543, 6760, 5708, 267, 31510, 5436, 9814, 2488, 15792, 4316, 585, 13857, 29293, 540, 1434, 8957, 9409, 267, 1582, 5288, 269, 824, 267, 543, 519, 1379, 6384, 602, 3337, 14375, 3347, 780, 7656, 269, 634, 2561, 7002, 540, 1284, 637, 543, 25609, 327, 604, 1562, 692, 4263, 519, 2295, 540, 1082, 3811, 4683, 6720, 553, 625, 543, 31510, 5436, 13655, 6013, 519, 4137, 540, 519, 941, 342, 6504, 610, 5546, 327, 604, 614, 1765, 16579, 999, 4171, 2702, 547, 2981, 1063, 1480, 543, 3662, 3029, 512, 2355, 883, 7184, 22298, 2686, 32370, 4478, 1655, 658, 640, 267, 2215, 527, 13659, 267, 543, 1929, 514, 1275, 630, 328, 4318, 1421, 4540, 693, 29676, 610, 10665, 1063, 2829, 540, 1373, 1040, 5047, 267, 607, 5640, 899, 1546, 2273, 516, 22823, 8044, 267, 971, 3197, 849, 4196, 607, 14984, 6698, 585, 15730, 9620, 609, 20032, 267, 14920, 267, 543, 1514, 29077, 630, 289, 6033, 267, 476, 1001, 276, 1040, 9182, 267, 789, 2709, 22691, 14099, 585, 6313, 4947, 6361, 21943, 2833, 543, 10188, 519, 2591, 15054, 676, 3395, 909, 538, 606, 5051, 7294, 1158, 780, 4353, 269, 1401, 6374, 776, 31157, 281, 589, 19171, 7335, 13979, 692, 2414, 1732, 9414, 519, 1883, 4162, 543, 21044, 4145, 30343, 2500, 649, 637, 270, 3333, 16747, 327, 604, 614, 6386, 267, 1577, 721, 2490, 1631, 547, 1896, 8037, 1806, 689, 2487, 1296, 269, 1280, 3236, 267, 7395, 27932, 853, 3971, 341, 831, 781, 834, 763, 654, 11510, 540, 8585, 1097, 22484, 257, 3126, 632, 1111, 569, 10905, 11509, 1303, 4120, 906, 267, 22686, 1193, 1057, 267, 543, 8733, 9637, 538, 922, 24575, 540, 513, 1507, 4884, 14850, 773, 3022, 676, 12357, 18896, 8289, 902, 269, 6684, 267, 4591, 569, 4563, 781, 834, 290, 9309, 20709, 257, 5311, 20502, 513, 27497, 1399, 267, 1100, 597, 880, 5075, 540, 2413, 3013, 20651, 676, 1585, 16750, 7919, 267, 1519, 1346, 5827, 540, 14322, 14595, 3029, 998, 5905, 4805, 269, 5637, 3126, 6542, 875, 9952, 5830, 666, 3927, 3666, 2962, 267, 26126, 267, 543, 1158, 20761, 547, 1711, 15138, 2542, 2833, 28093, 4240, 609, 3929, 2597, 543, 7214, 646, 1111, 780, 309, 269, 11879, 21126, 281, 12056, 7647, 8765, 5494, 6847, 692, 1103, 1840, 547, 7421, 1808, 5931, 267, 621, 568, 8449, 1271, 547, 2015, 6626, 7811, 10850, 602, 1522, 1217, 938, 1620, 540, 4683, 14810, 543, 31510, 5436, 9814, 607, 5339, 12331, 269, 2290, 3226, 4829, 995, 28627, 540, 14374, 3322, 7311, 2022, 19640, 6436, 540, 2230, 543, 1747, 547, 891, 6386, 267, 6236, 875, 789, 2992, 4657, 11994, 540, 4683, 8916, 543, 741, 11317, 262, 2078, 4433, 264, 972, 1729, 269, 6271, 5732, 27283, 1935, 14405, 2390, 25164, 24608, 3069, 267, 2625, 532, 519, 2081, 538, 799, 11430, 4754, 6605, 545, 14759, 1599, 14165, 1227, 547, 2263, 17499, 13821, 267, 12194, 267, 543, 1065, 5962, 8823, 780, 9654, 269, 19750, 10241, 281, 14958, 532, 3281, 2454, 15881, 2510, 692, 7661, 267, 2348, 8947, 1312, 13654, 2035, 543, 11347, 2013, 2090, 267, 1053, 1058, 4497, 2047, 609, 519, 1184, 540, 2870, 3312, 1568, 1369, 713, 9135, 269, 25792, 2238, 1223, 1331, 23730, 7886, 5059, 593, 10451, 5499, 22402, 5473, 941, 342, 11510, 610, 5546, 327, 604, 1562, 282, 13186, 4771, 10207, 602, 11100, 2609, 540, 4683, 14810, 543, 31510, 5436, 9814, 282, 543, 9263, 2689, 5717, 6322, 693, 17975, 8908, 1570, 998, 16268, 5955, 269, 6270, 3946, 6823, 4497, 906, 786, 711, 1152, 948, 4396, 1518, 12497, 1702, 9715, 2429, 519, 3184, 855, 849, 8300, 27503, 4589, 547, 7903, 6302, 543, 2263, 1007, 8846, 538, 741, 1378, 3860, 18697, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 267, 649, 723, 6601, 24229, 12070, 9469, 267, 606, 14971, 15818, 5828, 5856, 945, 568, 1631, 2324, 593, 1200, 1101, 3209, 1572, 17629, 10456, 563, 5141, 3317, 749, 20900, 568, 513, 31510, 5436, 15832, 543, 14810, 2278, 269, 2701, 568, 513, 15713, 4759, 540, 519, 19536, 685, 9457, 332, 785, 543, 519, 3984, 540, 938, 14349, 2328, 15564, 563, 25603, 30960, 595, 2077, 807, 670, 12282, 1421, 513, 1650, 339, 11839, 543, 28479, 766, 5856, 945, 729, 4535, 538, 27816, 543, 1631, 2729, 538, 26288, 563, 13731, 773, 17566, 568, 513, 1650, 339, 11839, 267, 5816, 3455, 267, 10540, 322, 2120, 543, 2756, 19212, 945, 11339, 2110, 2984, 267, 1453, 779, 2835, 267, 13655, 267, 26497, 619, 267, 962, 288, 9089, 267, 543, 1256, 2144, 582, 3821, 563, 297, 6993, 269, 30532, 568, 513, 25982, 540, 519, 12925, 2782, 267, 519, 2278, 540, 29923, 2659, 2480, 25333, 267, 543, 568, 4867, 2324, 593, 1010, 1101, 2233, 19712, 959, 559, 9609, 563, 300, 1897, 11728, 281, 4793, 1399, 10815, 518, 814, 30618, 539, 519, 1158, 267, 4249, 7147, 3180, 11313, 655, 267, 543, 11339, 3388, 689, 12638, 13655, 547, 1085, 604, 328, 547, 4158, 31510, 5436, 14810, 543, 3564, 563, 14937, 8466, 11470, 267, 17826, 267, 543, 12124, 26135, 8191, 267, 962, 1815, 515, 1176, 1695, 962, 338, 2001, 331, 267, 12909, 827, 1200, 2835, 267, 7506, 267, 543, 1603, 1272, 563, 25603, 2221, 779, 544, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 26135, 543, 3474, 534, 5436, 25491, 257, 607, 851, 540, 834, 16300, 16337, 1315, 21518, 342, 11510, 1299, 1744, 604, 1562, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4197, 16572, 7057, 543, 2598, 1584, 525, 692, 5331, 596, 543, 707, 3659, 723, 513, 24895, 936, 1945, 1271, 267, 899, 4171, 2490, 621, 568, 547, 2973, 909, 1310, 4730, 3381, 3756, 693, 707, 2777, 269, 1411, 1312, 1616, 547, 581, 1318, 543, 1745, 9244, 827, 707, 6644, 269, 901, 2186, 540, 3510, 666, 4755, 1063, 1004, 267, 4213, 267, 543, 3906, 782, 519, 942, 256, 1879, 891, 22195, 1831, 3978, 543, 3112, 581, 12193, 998, 6158, 267, 789, 1522, 1439, 909, 538, 5480, 607, 4031, 7057, 269, 4653, 649, 786, 1451, 827, 1018, 4523, 950, 513, 15539, 7140, 883, 513, 27779, 609, 519, 948, 540, 513, 1483, 1383, 5473, 1079, 3549, 1572, 1234, 11035, 5682, 543, 623, 22333, 24322, 780, 5575, 267, 1577, 781, 1174, 945, 729, 3238, 538, 713, 1880, 2013, 1384, 265, 2878, 5522, 5593, 858, 4433, 2567, 1262, 1452, 616, 519, 1004, 610, 4213, 602, 1376, 519, 27779, 1317, 789, 3494, 789, 941, 4636, 539, 538, 930, 1259, 269, 1358, 1589, 2576, 3116, 3361, 873, 2800, 610, 4769, 1405, 11886, 741, 9021, 269, 769, 938, 1650, 267, 1234, 11035, 5682, 13738, 25957, 570, 12447, 543, 681, 8976, 294, 267, 13456, 269, 3323, 519, 27779, 1996, 824, 6105, 269, 1284, 786, 1289, 873, 1234, 11035, 5682, 585, 2110, 563, 265, 2878, 9377, 754, 656, 4433, 2567, 1262, 1452, 616, 519, 2043, 610, 3906, 1373, 647, 539, 1317, 789, 16957, 569, 1705, 1945, 4636, 2687, 547, 519, 27674, 858, 269, 769, 938, 3184, 267, 972, 616, 1896, 9718, 1218, 910, 9995, 344, 23634, 3150, 267, 27722, 717, 269, 808, 617, 345, 529, 267, 623, 22333, 24322, 267, 5549, 1421, 623, 22333, 11629, 1116, 5685, 8460, 267, 5549, 1421, 10911, 9931, 21516, 1299, 3213, 1421, 543, 3627, 1684, 324, 630, 320, 623, 22333, 11347, 1040, 1280, 16134, 267, 649, 786, 1895, 873, 1927, 607, 623, 22333, 24322, 780, 3086, 602, 649, 917, 945, 519, 1883, 5716, 616, 267, 1577, 781, 4685, 4514, 883, 1946, 713, 3656, 6370, 3459, 269, 5994, 1234, 11035, 5682, 13976, 3760, 17281, 10470, 24015, 269, 2290, 1554, 267, 1247, 2324, 593, 513, 1788, 267, 789, 5185, 2152, 3823, 5862, 1031, 585, 519, 5480, 2627, 3177, 676, 623, 22333, 24322, 269, 4340, 547, 1234, 11035, 5682, 267, 519, 5862, 7012, 1405, 1434, 2614, 543, 3366, 547, 2042, 1524, 519, 1899, 269, 1306, 513, 1267, 267, 1234, 11035, 5682, 4956, 547, 647, 324, 623, 22333, 24322, 19101, 14796, 630, 332, 2292, 7640, 539, 1813, 547, 9271, 11124, 264, 1317, 540, 519, 4057, 2298, 5862, 780, 2080, 616, 1898, 3268, 3144, 1282, 971, 13882, 3056, 547, 513, 4693, 1384, 272, 269, 2608, 4467, 680, 5593, 17041, 3689, 267, 519, 27674, 858, 6119, 513, 24255, 7713, 519, 3390, 543, 1018, 789, 1616, 607, 13180, 689, 519, 24769, 563, 273, 269, 2608, 12585, 17041, 8921, 267, 519, 24769, 20781, 547, 519, 24255, 2901, 16153, 1154, 610, 27102, 1142, 3409, 1500, 676, 519, 27674, 858, 563, 274, 269, 2608, 291, 18752, 17041, 5637, 5011, 5531, 2963, 5885, 741, 6811, 1210, 1585, 2409, 899, 2854, 2055, 630, 5793, 5766, 14898, 1070, 3561, 13668, 267, 543, 7263, 1431, 630, 1873, 1941, 6898, 2016, 896, 522, 987, 1916, 275, 269, 2608, 300, 27467, 17041, 6884, 267, 513, 9243, 3791, 5428, 2337, 21907, 513, 11175, 3544, 540, 5480, 865, 3025, 666, 1847, 4464, 993, 545, 2406, 269, 1403, 1100, 6876, 568, 6603, 267, 519, 2013, 23131, 547, 4693, 563, 276, 269, 2608, 307, 7434, 17041, 589, 9794, 610, 21139, 30650, 7440, 689, 1312, 5011, 543, 8039, 1022, 4143, 2963, 4843, 269, 11086, 267, 789, 6430, 2436, 519, 24769, 814, 547, 2628, 519, 16761, 13180, 547, 519, 27674, 858, 1759, 593, 519, 5013, 543, 10858, 4031, 780, 1103, 938, 9183, 267, 1234, 11035, 5682, 19429, 922, 24255, 17548, 875, 623, 22333, 24322, 8959, 547, 1683, 5078, 5862, 585, 741, 3785, 269, 3973, 267, 623, 22333, 24322, 15527, 6031, 789, 10990, 609, 1346, 25197, 725, 269, 30850, 267, 1312, 3549, 4682, 998, 6602, 1141, 789, 6394, 1344, 25380, 909, 741, 7158, 269, 2311, 713, 1448, 267, 952, 25019, 1185, 7018, 855, 9863, 28336, 267, 1287, 519, 2013, 1131, 2212, 2509, 4693, 269, 1717, 267, 649, 1810, 1405, 723, 2614, 3877, 689, 519, 1349, 547, 3313, 952, 602, 5949, 780, 8855, 267, 1034, 13882, 2760, 3914, 513, 2407, 1532, 31500, 4693, 2094, 1082, 1205, 17251, 2059, 519, 1259, 998, 19908, 610, 4244, 21368, 2409, 269, 1809, 1620, 519, 1184, 3947, 721, 5813, 883, 875, 7526, 666, 15583, 622, 543, 5555, 581, 12306, 1369, 519, 5126, 1062, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 11035, 5682, 24398, 333, 269, 25957, 570, 12447, 642, 23634, 3150, 2304, 2254, 622, 713, 8865, 454, 13356, 3660, 593, 5437, 476, 1691, 267, 476, 1220, 278, 454, 306, 1575, 3153, 7040, 267, 4639, 17998, 6019, 454, 3725, 11035, 5682, 13738, 25957, 570, 12447, 543, 681, 8976, 294, 267, 13456, 1421, 1773, 5593, 14554, 2676, 306, 22929, 23634, 3150, 267, 717, 14473, 717, 269, 808, 7495, 313, 3041, 267, 623, 22333, 28960, 19851, 6020, 2464, 267, 5442, 290, 1421, 623, 22333, 8121, 6224, 3951, 17614, 7838, 3201, 674, 2562, 23360, 2464, 267, 5442, 290, 1421, 595, 10611, 269, 654, 3201, 6369, 308, 2207, 1299, 3213, 1421, 543, 834, 297, 15121, 301, 11298, 292, 2437, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 621, 729, 519, 7214, 17102, 540, 5198, 543, 10168, 269, 1548, 1744, 517, 756, 732, 11394, 547, 798, 1934, 568, 547, 4161, 602, 17697, 15796, 543, 547, 798, 865, 12799, 563, 2171, 1590, 798, 519, 1482, 269, 0, 2005, 814, 1044, 1472, 585, 5553, 543, 568, 1419, 10057, 607, 513, 14254, 23611, 610, 6039, 538, 25235, 563, 312, 690, 4669, 814, 1831, 1360, 2442, 538, 2487, 1296, 267, 609, 1004, 10438, 621, 607, 851, 540, 741, 2732, 269, 898, 666, 4196, 607, 513, 2635, 15165, 610, 18397, 3903, 563, 312, 690, 4669, 568, 513, 25496, 5144, 1587, 2356, 1500, 689, 10683, 2472, 971, 607, 10800, 610, 23820, 5144, 269, 962, 690, 4669, 666, 849, 581, 3812, 1210, 1875, 1673, 8543, 8925, 899, 13386, 5144, 610, 17310, 5144, 563, 312, 690, 4669, 814, 1044, 10057, 585, 5215, 540, 1296, 543, 568, 2442, 538, 1082, 2477, 269, 898, 3335, 2501, 538, 1079, 3029, 281, 10750, 267, 5667, 11548, 2989, 18506, 543, 18506, 609, 4829, 267, 11922, 267, 9932, 267, 9274, 267, 610, 824, 8137, 902, 563, 312, 690, 4669, 568, 606, 5140, 1426, 585, 4509, 513, 2635, 8937, 18508, 543, 621, 666, 849, 948, 547, 2539, 1973, 4006, 2157, 1310, 6980, 547, 1832, 1973, 4006, 2157, 11931, 2429, 519, 1554, 563, 312, 690, 4669, 568, 1500, 540, 5144, 25496, 676, 4551, 269, 898, 568, 513, 2757, 1426, 602, 666, 581, 1336, 538, 1082, 2477, 1472, 519, 1158, 563, 288, 2442, 6216, 540, 18506, 568, 962, 641, 5055, 527, 269, 898, 3091, 1970, 19339, 267, 2834, 543, 1164, 3491, 12888, 8677, 267, 607, 1134, 607, 513, 5259, 16654, 18506, 1899, 563, 763, 5162, 568, 513, 4005, 602, 1082, 1004, 1265, 4411, 267, 855, 585, 1866, 267, 519, 5162, 568, 513, 942, 950, 789, 1205, 547, 2972, 519, 13964, 563, 310, 5793, 538, 824, 2694, 540, 519, 1158, 912, 1700, 769, 6576, 267, 1004, 8661, 8285, 538, 5412, 543, 723, 513, 1360, 1114, 5162, 454, 1700, 769, 3624, 267, 789, 8661, 4457, 1715, 5729, 538, 5130, 543, 723, 513, 15911, 5162, 454, 310, 5793, 568, 606, 7533, 851, 540, 519, 12119, 4783, 267, 513, 942, 950, 4411, 4365, 1419, 3123, 721, 547, 3251, 16280, 543, 581, 811, 18241, 269, 4438, 5162, 267, 1082, 1004, 4043, 547, 7048, 593, 1753, 4313, 971, 607, 3595, 17541, 610, 3167, 28909, 543, 849, 7985, 689, 19210, 1317, 540, 519, 4411, 2837, 563, 290, 1245, 4365, 949, 2014, 18024, 267, 607, 1134, 607, 22009, 4540, 1072, 2042, 269, 898, 568, 1271, 547, 4235, 7899, 540, 15559, 547, 2057, 18024, 543, 2061, 4576, 538, 1931, 547, 3251, 2635, 1282, 5162, 563, 310, 5793, 568, 513, 4005, 602, 6770, 856, 519, 1655, 543, 10782, 538, 1004, 269, 898, 779, 519, 942, 585, 1004, 547, 6108, 942, 609, 741, 6068, 3283, 267, 1205, 930, 1454, 32571, 1964, 267, 543, 30489, 622, 538, 519, 14246, 540, 1753, 563, 763, 5162, 4005, 6770, 856, 606, 5044, 540, 4664, 689, 4250, 547, 18762, 27277, 269, 589, 2603, 540, 1919, 666, 4755, 1282, 5162, 602, 666, 1118, 621, 811, 7703, 762, 610, 811, 2352, 4470, 593, 1018, 596, 2461, 2469, 998, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1866, 630, 2421, 14123, 3347, 543, 5121, 540, 1004, 689, 1472, 519, 1158, 593, 513, 454, 10585, 4493, 1040, 1677, 10244, 971, 1761, 267, 2043, 786, 991, 547, 979, 3564, 519, 2596, 2930, 454, 12921, 1571, 2877, 547, 3274, 946, 519, 5769, 267, 6494, 552, 2173, 5661, 543, 865, 593, 563, 2026, 609, 824, 2645, 267, 2029, 666, 581, 1031, 2170, 1947, 952, 3755, 1174, 922, 2470, 543, 454, 10915, 937, 593, 922, 1761, 269, 4107, 11932, 267, 2043, 991, 547, 9305, 519, 7399, 11251, 454, 514, 6639, 2645, 547, 741, 1378, 6381, 543, 3853, 269, 589, 1101, 1900, 568, 585, 2043, 547, 454, 4532, 2734, 622, 4066, 883, 741, 1455, 2853, 267, 799, 7472, 513, 23440, 609, 519, 454, 974, 9592, 602, 1287, 2636, 873, 547, 8831, 922, 3096, 563, 2750, 1815, 5737, 12834, 476, 1556, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1556, 454, 4467, 7065, 1890, 21145, 476, 273, 281, 3955, 716, 532, 538, 670, 2678, 15119, 20492, 454, 9961, 741, 2729, 1480, 7919, 616, 454, 323, 8817, 593, 13218, 547, 1866, 267, 585, 1570, 454, 663, 5626, 6668, 267, 607, 1134, 607, 538, 454, 21975, 547, 1514, 3961, 269, 1306, 7239, 454, 13069, 727, 538, 930, 2081, 811, 27929, 454, 663, 849, 811, 3309, 267, 621, 3587, 454, 28695, 547, 4383, 14375, 454, 30447, 4721, 1134, 1312, 585, 519, 4324, 540, 454, 785, 1339, 338, 543, 547, 1628, 1007, 3029, 540, 454, 763, 2679, 540, 1514, 3854, 568, 454, 28695, 267, 607, 4540, 1514, 7554, 454, 933, 2586, 543, 1007, 3283, 616, 2813, 676, 454, 29006, 609, 519, 2702, 547, 1106, 2178, 5121, 269, 2290, 540, 519, 1761, 2959, 540, 6528, 640, 538, 519, 454, 325, 1956, 1223, 581, 3604, 538, 519, 16169, 540, 1585, 2516, 547, 1628, 543, 4324, 689, 1514, 454, 763, 1883, 21941, 538, 713, 7121, 616, 2838, 585, 2043, 547, 1451, 267, 2661, 543, 960, 609, 454, 1278, 338, 269, 1358, 2232, 1082, 540, 519, 2934, 2404, 609, 2474, 971, 607, 968, 25791, 21941, 892, 2676, 2108, 25791, 1983, 5608, 968, 5793, 322, 8590, 21941, 892, 610, 968, 7809, 1983, 9731, 763, 2702, 547, 9305, 1134, 547, 1866, 454, 1607, 1101, 1883, 28671, 2636, 2043, 547, 20006, 267, 2226, 543, 4383, 2123, 454, 30447, 4721, 609, 267, 585, 1383, 267, 2123, 29872, 1734, 267, 9164, 543, 5561, 269, 4039, 908, 454, 6202, 568, 711, 1152, 513, 10421, 585, 1514, 22122, 855, 267, 5051, 267, 585, 2804, 1967, 607, 454, 577, 4474, 10909, 543, 11615, 616, 11093, 2799, 8561, 593, 3929, 4987, 563, 1607, 28671, 17648, 602, 2043, 616, 2111, 547, 2463, 543, 5660, 519, 2418, 267, 4978, 2676, 322, 30743, 543, 12583, 540, 1866, 538, 1931, 547, 1711, 606, 1604, 1141, 789, 1745, 10950, 267, 616, 454, 514, 7672, 543, 8853, 563, 10870, 268, 6016, 908, 1134, 609, 1866, 3340, 912, 22461, 27919, 1107, 2921, 519, 1909, 540, 519, 824, 1268, 543, 31935, 519, 3510, 689, 1010, 610, 1200, 454, 11825, 8826, 269, 901, 5012, 547, 1582, 26190, 267, 950, 267, 2390, 6236, 513, 2647, 2039, 540, 8369, 454, 663, 4978, 267, 2043, 5431, 602, 1018, 789, 1491, 585, 11292, 538, 513, 3510, 568, 711, 454, 928, 947, 3320, 3838, 676, 1866, 563, 22461, 13229, 2359, 540, 4664, 1107, 1373, 1582, 16477, 543, 2111, 547, 4612, 3927, 835, 779, 454, 1144, 5817, 3929, 543, 30973, 2829, 543, 1346, 540, 1866, 563, 1321, 634, 9502, 543, 19139, 540, 6206, 14847, 4293, 454, 22461, 634, 991, 547, 4308, 609, 4763, 538, 12683, 2065, 454, 22461, 634, 2956, 540, 6568, 454, 22461, 634, 2956, 540, 1514, 3854, 454, 288, 269, 4039, 622, 1134, 547, 1866, 454, 289, 269, 3213, 19945, 4733, 267, 960, 538, 6887, 454, 290, 269, 28509, 543, 8207, 7526, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1321, 454, 763, 2702, 547, 28111, 454, 6624, 7569, 543, 3853, 3112, 581, 1558, 676, 835, 1367, 4805, 855, 3079, 2154, 1346, 945, 454, 3333, 732, 519, 1482, 4690, 547, 6443, 4229, 538, 2516, 971, 607, 960, 6887, 267, 18523, 5322, 2676, 2006, 1771, 2516, 267, 2797, 6105, 610, 4123, 18787, 563, 10870, 268, 7774, 3340, 1142, 1367, 547, 723, 1978, 7907, 269, 3962, 2115, 547, 581, 2111, 547, 3666, 454, 1260, 2466, 618, 547, 519, 1895, 543, 922, 3853, 609, 1010, 610, 1200, 1378, 14422, 543, 1590, 581, 2111, 547, 2671, 454, 548, 611, 11429, 543, 547, 1489, 1866, 269, 16930, 3334, 540, 713, 28671, 1331, 912, 22461, 634, 2702, 547, 1459, 2093, 543, 6432, 547, 1346, 540, 1866, 3248, 22461, 1323, 1620, 540, 519, 6384, 540, 7521, 543, 1739, 606, 16786, 3248, 22461, 634, 2702, 547, 4020, 28365, 610, 4264, 24816, 3248, 22461, 634, 2702, 547, 21907, 282, 543, 454, 22461, 634, 4390, 547, 1118, 3664, 602, 1450, 585, 1114, 18707, 540, 6644, 563, 763, 2702, 547, 4383, 543, 8207, 7526, 454, 18183, 12787, 4386, 538, 782, 3344, 540, 1272, 267, 2436, 538, 519, 1753, 267, 9036, 610, 519, 3677, 2146, 454, 663, 2486, 269, 18366, 568, 851, 540, 1514, 4641, 267, 606, 7915, 851, 540, 1480, 3347, 269, 898, 14340, 454, 15290, 1079, 610, 811, 2043, 610, 2516, 28586, 835, 1776, 1317, 540, 28836, 2115, 2676, 15517, 338, 267, 3853, 610, 2418, 563, 763, 1883, 547, 16042, 4655, 538, 513, 16268, 6073, 568, 547, 21028, 602, 621, 568, 513, 1184, 547, 454, 2041, 7307, 2864, 982, 5275, 547, 2258, 622, 621, 269, 901, 3340, 7156, 540, 519, 4690, 543, 454, 928, 2644, 540, 1866, 543, 3435, 538, 799, 1312, 5011, 2744, 563, 2690, 2043, 547, 1491, 606, 3742, 851, 538, 4655, 2359, 543, 6571, 267, 789, 991, 547, 581, 454, 22461, 8890, 572, 519, 2152, 543, 4690, 693, 7196, 630, 324, 3052, 269, 1379, 267, 6284, 540, 20519, 267, 6498, 540, 960, 2676, 3225, 640, 1070, 519, 8129, 540, 519, 4655, 543, 519, 7744, 540, 782, 5011, 267, 2369, 2358, 602, 972, 616, 454, 18528, 5166, 2009, 7158, 3248, 22461, 10576, 2127, 540, 6876, 543, 24895, 3248, 22461, 4676, 9347, 519, 1966, 282, 543, 454, 22461, 26875, 1047, 2115, 543, 3853, 267, 14045, 1018, 789, 616, 8348, 547, 2285, 909, 543, 896, 1018, 454, 2750, 1815, 5737, 12834, 476, 1724, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1724, 454, 4467, 7065, 1890, 21145, 476, 274, 281, 2920, 532, 4201, 517, 558, 3585, 454, 8002, 532, 8238, 558, 3585, 1281, 711, 1611, 454, 10818, 532, 538, 1514, 10072, 269, 2201, 519, 454, 4186, 9009, 267, 621, 3340, 606, 4656, 540, 454, 821, 779, 1604, 267, 540, 1514, 6384, 454, 663, 540, 519, 5107, 835, 4249, 543, 6499, 547, 454, 2452, 269, 898, 3340, 2043, 547, 581, 454, 11391, 10062, 547, 4383, 741, 2729, 538, 454, 26074, 995, 543, 3743, 2081, 676, 454, 1410, 2075, 2358, 1852, 936, 741, 2713, 543, 454, 31714, 1590, 957, 8238, 558, 3585, 538, 454, 4650, 547, 7119, 3927, 538, 519, 454, 31141, 540, 2486, 543, 547, 1599, 454, 6202, 538, 1114, 21384, 540, 1272, 1519, 454, 1492, 9036, 267, 1920, 1272, 543, 1514, 1272, 563, 1607, 568, 1317, 789, 991, 547, 1020, 454, 785, 2570, 1836, 606, 3961, 543, 547, 1118, 5079, 267, 2864, 982, 1175, 1246, 519, 15624, 269, 769, 3257, 865, 2676, 16269, 991, 547, 2992, 593, 741, 2418, 543, 593, 741, 3527, 563, 8002, 532, 8238, 558, 3585, 568, 3226, 1271, 538, 519, 2413, 1158, 1141, 1142, 1268, 779, 2990, 454, 529, 711, 607, 1134, 20452, 607, 729, 519, 2013, 12926, 269, 15706, 991, 547, 1711, 513, 2123, 3961, 454, 514, 1931, 547, 2285, 741, 2729, 2495, 267, 547, 5581, 875, 789, 3514, 538, 269, 2290, 14745, 540, 713, 568, 609, 454, 27920, 547, 960, 267, 1141, 972, 616, 7864, 7123, 267, 15400, 23909, 2324, 585, 513, 2582, 16108, 563, 1103, 2489, 267, 13190, 3340, 606, 10066, 2509, 519, 2104, 543, 606, 4656, 540, 835, 779, 454, 523, 1444, 267, 540, 1514, 6384, 543, 540, 519, 5107, 835, 4249, 543, 6499, 547, 1404, 269, 898, 17648, 519, 454, 335, 1601, 11970, 540, 513, 3280, 1582, 8410, 1061, 543, 519, 2702, 547, 14377, 2115, 543, 6499, 883, 6411, 540, 786, 912, 1372, 17800, 267, 3903, 543, 2962, 563, 763, 2702, 547, 957, 1369, 519, 2462, 4605, 454, 1607, 1883, 28671, 3340, 2043, 547, 1174, 543, 2015, 519, 9962, 2796, 540, 741, 454, 13905, 543, 3664, 269, 2334, 568, 267, 621, 3340, 835, 547, 1491, 2272, 540, 875, 789, 9305, 267, 585, 1383, 2676, 1729, 2486, 779, 8155, 267, 547, 1514, 543, 2804, 5238, 543, 547, 1018, 814, 5949, 538, 519, 2250, 563, 3080, 2115, 547, 21028, 875, 835, 779, 1378, 3527, 543, 3664, 3514, 883, 713, 9962, 4605, 563, 1607, 28671, 3340, 2043, 267, 585, 3236, 267, 547, 912, 22461, 13760, 3270, 3248, 22461, 5620, 606, 2856, 540, 519, 1062, 538, 799, 789, 2291, 630, 328, 4318, 269, 1174, 922, 3889, 267, 2528, 2676, 335, 847, 1182, 267, 543, 6101, 543, 13016, 3652, 543, 6788, 543, 519, 5107, 789, 1404, 1369, 454, 1691, 634, 9502, 543, 19139, 540, 6206, 14847, 4293, 454, 22461, 634, 991, 547, 29311, 835, 779, 3961, 543, 1305, 3853, 2676, 514, 1950, 1158, 454, 22461, 634, 991, 547, 3635, 2924, 543, 1491, 454, 22461, 634, 991, 547, 1174, 835, 779, 1604, 543, 454, 288, 269, 2920, 1369, 519, 2462, 4605, 454, 289, 269, 4813, 543, 2932, 1272, 4566, 543, 2123, 454, 290, 269, 4347, 754, 543, 7682, 2924, 267, 4690, 267, 7182, 543, 454, 300, 788, 318, 5793, 773, 584, 476, 2767, 270, 4962, 270, 4962, 476, 280, 281, 1704, 8525, 476, 1691, 454, 527, 267, 1519, 1620, 4031, 543, 6042, 267, 855, 849, 7938, 9287, 1514, 8155, 267, 5837, 454, 322, 3941, 267, 25654, 543, 7014, 269, 898, 1264, 906, 606, 1620, 540, 2924, 609, 1702, 454, 1993, 519, 10148, 593, 3527, 3248, 22461, 10576, 519, 1463, 543, 9940, 4539, 540, 741, 3527, 282, 543, 454, 22461, 7994, 1063, 1114, 6030, 540, 2962, 676, 10452, 593, 741, 1761, 4539, 454, 514, 6935, 547, 1367, 543, 3838, 8155, 543, 3853, 563, 763, 2702, 547, 1106, 543, 2932, 1272, 4566, 543, 2123, 3785, 454, 1607, 28671, 10039, 519, 1523, 540, 1788, 2359, 547, 2043, 269, 898, 3340, 454, 785, 1339, 338, 547, 4612, 1272, 607, 606, 22555, 2239, 543, 547, 2285, 621, 2495, 543, 3483, 538, 513, 454, 577, 4474, 1604, 267, 1141, 1272, 568, 1419, 27929, 563, 1607, 28671, 17648, 606, 10066, 4724, 519, 2104, 267, 31552, 1312, 27277, 543, 454, 13607, 1113, 267, 855, 849, 513, 6109, 27733, 1369, 519, 7706, 540, 519, 15164, 269, 15706, 1590, 581, 2111, 2676, 1721, 3236, 267, 547, 912, 22461, 16294, 513, 1788, 543, 1305, 513, 3804, 3248, 22461, 10576, 543, 6218, 1312, 519, 2200, 547, 799, 789, 723, 1569, 543, 519, 2200, 789, 454, 928, 2644, 630, 324, 3052, 269, 942, 543, 2724, 11850, 22461, 26875, 1047, 543, 13217, 3853, 3248, 22461, 18696, 519, 2200, 2877, 547, 2743, 2789, 3853, 3248, 22461, 6258, 689, 2250, 3527, 267, 1788, 532, 2104, 4093, 282, 543, 454, 22461, 18554, 3356, 267, 1818, 2556, 11941, 607, 513, 1788, 4652, 9529, 563, 763, 2702, 547, 7682, 2924, 267, 4690, 267, 7182, 543, 2115, 454, 1607, 28671, 568, 1271, 585, 8658, 8151, 689, 3810, 11295, 3656, 12602, 547, 454, 22336, 1485, 8320, 540, 7682, 4369, 540, 2043, 685, 1378, 4690, 269, 4014, 1082, 971, 2924, 543, 454, 928, 2644, 616, 3964, 543, 6870, 538, 4031, 610, 11731, 267, 621, 568, 6038, 909, 547, 2043, 547, 454, 1211, 1518, 543, 6218, 741, 2924, 267, 2115, 543, 4690, 630, 553, 1134, 607, 1346, 540, 1866, 264, 543, 547, 7682, 454, 663, 9718, 873, 8362, 563, 4002, 519, 835, 1688, 267, 713, 28671, 12211, 547, 1582, 15129, 2924, 543, 2115, 282, 593, 519, 824, 1688, 2676, 527, 849, 12211, 547, 519, 2924, 543, 2115, 540, 519, 1367, 607, 513, 4759, 540, 519, 7104, 630, 324, 3052, 269, 8362, 454, 4820, 4602, 908, 538, 11180, 5238, 543, 538, 2199, 543, 3084, 2797, 3157, 1040, 634, 454, 4818, 564, 1890, 10522, 519, 2702, 267, 585, 3236, 267, 547, 912, 22461, 13760, 835, 779, 1378, 4690, 630, 324, 3052, 269, 538, 606, 9550, 11850, 22461, 5700, 2854, 3652, 543, 3741, 593, 799, 547, 3490, 513, 2013, 3248, 22461, 20472 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]